diff --git "a/data/dm_maths/full_data_1/1982_11255.jsonl" "b/data/dm_maths/full_data_1/1982_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1982_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the pth term of -594, -595, -586, -561, -514, -439?\n\"Answer: p**3 - p**2 - 5*p - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + (-17)\/(-2))\/(3\/12).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, -8, 2 in descending order.\nAnswer: 147, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -11. Let b = 98 - h. Calculate the greatest common divisor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1 (c) -0.3 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9 + 1 - 10*m - 9 + 9. Let h be s(1). Solve -n + h - 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4438*j**6*t**3 - 2*j**4*t**3 - 984*j**2*t**3 - j**2 + 2*j*t**3 wrt j.\nAnswer: 532560*j**3*t**3 - 48*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67645, 67413, 67181?\nAnswer: 66949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103 * 58.4.\nAnswer: -6015.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 104, 107, 112, 119, 128, 139, 152?\n\"Answer: j**2 + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, e: 4, d: 2}. What is prob of picking 2 d and 1 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 2 + (22 + 6 - 18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0 - 19 = 2*k, -4*k = -12. Let t = -276 + 513. What is the third derivative of -4*w**2 + 5*w**j - t*w**3 + 237*w**3 wrt w?\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.4. Suppose -3*q + 186 = -t, 3*t - 4*q = -3*q - 566. Let b = t + 375\/2. What is the second smallest value in 0, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34830 or -1?\nAnswer: 34830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/499328?\nAnswer: -5\/499328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528 divided by 2.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, v: 4}. What is prob of sequence jj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-1)\/10*-2). Suppose a*f - 41 + 11 = v, -3*v = -15. Suppose f*n - 13*n = -n. Let i(k) = -k**3 - k + 12. Calculate i(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*g**2 - 6*g**2 - 2*g**2 to the form u + w*g**2 + o*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/12 - 39*w**2\/8 + 161*w\/2 + 572. Find z, given that b(z) = 0.\nAnswer: -46, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(171)*3*-6)\/(sqrt(54)\/(sqrt(30)\/sqrt(5)) - (sqrt(54) + sqrt(216))\/sqrt(6)).\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + -10 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*t - t**3 + 1\/8*t**4 - 9\/8*t**2.\nAnswer: t**2*(t - 9)*(t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 2*r - r)*(4*r - 4*r - r**2) + 3*r**3 - 3*r + 3*r + 2*r - 5*r**3 + 3*r**3 + r**3 to the form z*r**2 + x*r + f + a*r**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -2136\nAnswer: -6408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 + l + 1. Let j be d(-2). Suppose 17 = j*v - 16. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268 + 281. Which is bigger: 9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t. Suppose -786 = -5*k + 3*h, -3*k - 2*k + h + 792 = t. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**9\/9072 + c**7\/2520 + c**3 + 4*c. Let i(y) be the second derivative of n(y). Factor i(a).\nAnswer: -a**3*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 + -86. Let o be (702\/j)\/((-2)\/(-10)). Suppose -3*i - o + 390 = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134944 and 41504?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -365, -357, -353, -359, -381, -425, -497?\n\"Answer: -t**3 + 4*t**2 + 3*t - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163 + 167. Suppose 3*b + 9 = 2*w + m*b, -w - b = -7. Solve 2 + 1\/2*k**3 + 0*k - 3\/2*k**w = 0 for k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/15))**(-13\/2) assuming p is positive.\nAnswer: p**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-3)*j))**(-7) assuming j is positive.\nAnswer: j**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1. Let g be (-30)\/8 - 1\/s. Let h(m) = m + 5. Give h(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 2*u**2 + 2*u**2 - u as n + w*u + j*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-6)\/4 + 2). Suppose 18*o - 20*o = -4. Suppose 0 = -o*i - i + 6, 5*i = 4*b - 6. Solve y - 3*a - 2*a - 4 = 0, 0 = b*a + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*29087.\nAnswer: -2181525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -15171581 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2635, 5278, 7921, 10564?\nAnswer: 13207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-30))\/(12\/(-27)))\/((63\/(-392))\/9).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11070 and 120.\nAnswer: 44280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243 + -24313?\nAnswer: -24020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*c - 10*c + 18*c)*(7 - 3 - 3).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - (-1 + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1191, 1200, 1209?\n\"Answer: 9*x + 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:18 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097782.\nAnswer: 2, 7, 19, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {w: 6, l: 1, j: 1, v: 1, b: 5, q: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:51 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 178559038 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72077625, -144155237, -216232849?\n\"Answer: -72077612*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 23?\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(88\/(-11))\/(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*f + 3*f + 10*f)*(-f - 2*f + 0*f)*((-4*f + 6*f - 3*f)*(6 - 1 - 3) + (-1 + 4 - 1)*(92 + 14*f - 92)) in the form d + j*f + p*f**3 + w*f**2 and give p.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792 and 6770556?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 9 - (-5430140)\/85 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/8 (b) 81 (c) -1\/4 (d) -2\/17 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8347443?\nAnswer: 3, 13, 193, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 6) to base 12\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 8. Let p(d) = 5*d + 23. What is -8*k(a) - 3*p(a)?\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 90 - 90 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 0 + (-3640)\/(-280).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 8. Let k be 4\/m + 1\/(-12). What is the second biggest value in 0.5, k, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.7 + -5. Let t = -110 - -108. Is n at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 779, 935, 1217, 1637, 2207, 2939, 3845, 4937?\nAnswer: 6227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(114)\/sqrt(3))\/sqrt(2) + (-2 + sqrt(19))*-1 + sqrt(19) + 5 + 2*sqrt(19) + 2*sqrt(171))**2.\nAnswer: 360*sqrt(19) + 3278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-20))\/(3\/10). Let s be q\/((-96)\/136011) - -2. Let o = s - 5661. What is the common denominator of 39\/20 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**16*(y\/((y\/(y\/(y\/(y*y**29)*y*y)))\/y))\/y)\/((y**(-25)*y*y)\/y**(-11)) assuming y is positive.\nAnswer: y**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2729671\/72 + 37913. What is the common denominator of 59\/348 and f?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 64921 = -2*p - 6093, 5*p = -2*u + 147071. Let d be (-12)\/(-42) + p\/21. Suppose 0*f - d = -2*y + f, 0 = 5*f - 5. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2634905629 to 3 dps.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -1 - -15) + (22 - 9 - 18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -31*r**3 - 13*r**2 - 9*r - 2. Let i be s(-2). Let l = 172 - 117. Suppose 3*o - l - i = 0. Round o to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*t = -c + 10, 2*c - 5*t + 25 = 0. Solve c = -3*a + 12 - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 46*d**2 + 9*d + 115. Is q(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 1, y: 2, w: 1, m: 1, c: 2}. Give prob of sequence wy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39361*p + 19675*p + 19681*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1227 or -164563\/134?\nAnswer: -164563\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 9*n**2 + n - 11. Let o be i(-5). Let q be (9 - 9)*(o\/(-6))\/3. What is the remainder when 49 + 4 + q\/(-2) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**4*o)*o)\/(o*o**(-3)*o)*(o**6\/o)\/(((o**(-3)*o)\/o*o)\/o)*(o**(-6)*o**(-1))\/(o**(2\/11)\/o**(1\/3)) assuming o is positive.\nAnswer: o**(-61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 3*b**3 - b**3)*(3 - 1 + 1) + (-2 + 2 - 2*b)*(4*b**2 + b**2 - 6*b**2).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.096928, 5, 4\/35?\nAnswer: 0.096928","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 3*a**2 - 6. Calculate w(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (7 + -16 + 123). Let l be 3\/(-12) + (-3)\/((-684)\/b). Let g(a) = a**2 + 3*a - 4. Let t be g(-4). Do l and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9460626503\/647218 - -1067055\/73. Let b = x - 1\/806. Suppose -2*q + q - 1 = 0. Which is greater: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 760, -0.5, 11, 2, -3 in ascending order.\nAnswer: -3, -0.5, 2, 11, 760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/((t\/(t**(-11\/5)\/t))\/t*t))*t)**(4\/11) assuming t is positive.\nAnswer: t**(84\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/60 - 18437\/2060.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 6) + (-32 - -10) - (0 + -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 + -9 + -6 - -3. Let i be (-130)\/(-35) + (-6)\/(-21). Solve r*j - 6*j = 3*c + 20, 0 = i*c - j + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -782408 (base 11) to base 8.\nAnswer: -4604627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.39 - 19.39. Let c = a + 34. Let o = 10 - c. What is the third biggest value in 3, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 17. Which is the second smallest value? (a) -2\/9 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*a - 1039 + 1033, -3*a - 21 = -l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10052000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96183869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -p - 2, 6 = 4*p - f - f. Suppose -v - 16 = -p. Let j = 25 + v. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3022213001 (base 4) to base 16.\nAnswer: ca9c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3779*s - 2389. What is f(1)?\nAnswer: -6168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72111 less than 0.2?\nAnswer: -72110.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s - 40. Let m be q(-8). Let o = 568\/5 + m. Let r(w) = -w + 1. Let k be r(1). Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48455 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 787*n - 792*n - 15, 3*i - 13 = -n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112414 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: Suppose 8 = -5*l - 2. Let s(b) = b**3 - 8*b**2 - 22*b + 20. Let h be s(10). Sort 13, h, l, 5 in descending order.\nAnswer: 13, 5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2313322 is divided by 330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 7:37 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20238, -40255, -60260, -80253, -100234?\nAnswer: -120203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 9.6. Sort 0, i, 2\/3 in descending order.\nAnswer: 2\/3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 12:15 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9*h + 6*h. Suppose -h*t + 1 = -9. Let k(f) = f**2 + 4 + 0*f**2 - 1 - 8*f. Calculate k(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24609960849 and -7.9.\nAnswer: -24609960856.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 713*c**3*g**3 + 42*c**3*g**2*p - c**2*g**3*p**2 + c**2*g**2*p + g*p**2 wrt g?\nAnswer: 4278*c**3 - 6*c**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 3*j + 2*u, 0*u + 128 = 4*j + 3*u. Let s be (-90)\/(-2)*j\/21. Round s to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/20)\/((342\/266)\/(12\/14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 1, o: 1, s: 2, m: 2}. What is prob of sequence scs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73*b + 65*b - 48*b)*(-3*b + 5*b - 4*b) to the form x + h*b + i*b**2 and give i.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d + 365 = 2*x, -4*x + 1819 = -5*d. Let f = d - -363. Which is smaller: -2\/231 or f?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4376 and 11703.\nAnswer: 5121.2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 6, m: 2, j: 7}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2. Let v(p) = -2*p + 11. Let k(q) = 215*q - 67. Let n(x) = -k(x) - 6*v(x). Give w(n(b)).\nAnswer: 41209*b**2 - 406*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5 - 5)*(-7*t - 8*t - 15*t - 49*t) in the form k*t + n and give k.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -166417, -166411, -166403, -166393, -166381, -166367?\n\"Answer: h**2 + 3*h - 166421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**3\/3 + n**2 - 13*n + 1618. Let t(z) = -4*z**2 - 7*z + 38. Determine 2*t(w) + 7*u(w).\nAnswer: -w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-4 - -2) - 0. Suppose o - 3 = -3*h, -7*h = 2*o - 3*h - 4. Put o, d, -2 in descending order.\nAnswer: o, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 11 (b) 0.15 (c) 1.219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**3 + 1761*q**2 + 32376*q = 0.\nAnswer: -568, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4 - 3*a**2 - 6*a + 4*a - a**3 - 2*a - 3. Let s be h(-3). Solve 5*k - 1 = 3*f + 22, 4*k + 3*f = s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30156 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/117 and (-1)\/2*(-6771)\/(-1332)?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 10. Let l be j(-12). Let c(u) = -1 + 3*u + 0 - 8*u - l. Let b be c(-7). Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/28 + (-68)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -114*f**5\/5 - 189*f**2 + 1271*f. Find the first derivative of i(k) wrt k.\nAnswer: -1368*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -49*m**3 - 168*m**2 - 192*m - 19. Factor i(b).\nAnswer: -3*(7*b + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -3, -1 in increasing order.\nAnswer: -3, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**7*k*k)\/k**(6\/11) assuming k is positive.\nAnswer: k**(104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 167. Let t be 189*((-1)\/6)\/(13\/b). What is the highest common divisor of 84 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*q + 533*q = -33 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.11 + 12. Let s = 0.15 + k. Round s to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 2, 5\/3, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 134*v + 4. Let s(x) = -x**2 - 6*x - 6. Let z be s(-6). Let u be m(z). Round u to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115766.5 rounded to the nearest 1000?\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 + 62. Solve 0 = 2*o - c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = i + 172*p - 168*p, 2*i = 2*p + 14. Let i*c + c**3 - 3\/4 - 17\/4*c**2 = 0. What is c?\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1575, 1579, 1579, 1575, 1567, 1555, 1539?\n\"Answer: -2*i**2 + 10*i + 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -23524, -27?\nAnswer: -23524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44028 and 5?\nAnswer: 220140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3 + 4*n**2 + 16 - 19. Let t(i) = -5*i**2 + 12*i**2 - 4*i**2. Give t(u(y)).\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31815409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y. Let j(m) = 10734*m - 22047*m + 10972*m. What is i(j(s))?\nAnswer: 2387*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757013599?\nAnswer: 19, 37, 61, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6494140*v**3 - 1729622*v**2 wrt v.\nAnswer: -38964840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-65))\/((-30)\/65)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let v(i) = i**2 - 10*i + 1. Let h be v(10). Let l(o) = 2*o + 9829 + 0*o - 9831 - o. Calculate h*l(j) + 2*g(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2\/19 (b) -845 (c) -1500 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 64936368.\nAnswer: 194809104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(-10) - 12\/((-720)\/225138)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q. Let d(j) be the second derivative of -6 - 1\/6*j**4 - 11\/2*j**2 + 0*j**3 + 18*j. Calculate y(d(u)).\nAnswer: 8*u**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14354 is divided by 1101.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = -a, -4*k = -4*a - 2 - 14. Suppose 2*v - 2*z = -0*z + 12, -4*v + 3 = k*z. Suppose -v = -o - 0. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167069 + -39588. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:46 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3967498622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1494055 (base 10) to base 9.\nAnswer: 2726411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-84) + 256\/(-924)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 + a + 23 - 54)*(-5*a**3 + a**3 + 3*a**3) to the form v + j*a**2 + o*a + s*a**3 + t*a**4 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -378131200*j**3 + 370218476*j?\nAnswer: -2268787200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-200*1*(-334)\/835.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 2\/27*l**3 - 7 + 8\/3*l + 8\/9*l**2. Factor f(h).\nAnswer: 2*(h + 2)*(h + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2370 divided by -6\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805379.\nAnswer: 37, 21767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 0 - 0 - (448 + -464)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*u + 0 + (-1 + 1 - 2*u)*(2 + 1 - 1) - 2 + 3*u + 2 - 4 + 2*u + 4 - 18*u + 2*u - 23*u - 2*u + u + 2*u.\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49.1 - 49. What is the closest to w in 4, -1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 100. What is the greatest common divisor of p and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3528, -7040, -10552, -14064, -17576?\n\"Answer: -3512*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285062007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n**2 - 33*n**2 + 11*n + 2 + 25*n - 35*n + 0 to the form k*n**2 + c*n + g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 4*c - 1. Let a = 7 - 2. Let j be x(a). What is s in -2*s**2 - j*s + 0*s + 2*s = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 32 - 4. Suppose 7*k = -t*k + 22. Solve -k*o = 2*a - 3*o + 3, o = 5*a + 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.06, 1, 335, 0.4, -16, 2, -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*c - 84 = 0, -c = -4*k - 2*c + 79. Let q be (-4)\/k + 6\/10. Which is greater: q or -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 12*n = -t - 8578, 0 = 5*n - t - 42906. Let v = -4413 + n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + l - 2*l + 14 = 0, 0 = -3*l - 6. Suppose y*o - 822 - 278 = 0. Suppose -o = -6*a + a. What is the highest common factor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -452 (base 15) to base 6.\nAnswer: -4305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -51, -71, -89, -105, -119, -131?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38285 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {w: 4, c: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1)*-2 + sqrt(2) + 4.\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16316135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13081529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42375 divided by 34?\nAnswer: 42375\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {q: 5, y: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4032)*-5 + sqrt(4032))\/(sqrt(196) - 2*sqrt(196) - (sqrt(4) - sqrt(640)\/sqrt(10))))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -226 - -339. Suppose -4*j + 39 = -q. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 51*v**3 - 62*v**3 + 115*v**3 + 0.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15379?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6545263 (base 7) in base 16?\nAnswer: -c3a6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -98\/23, 9, -3?\nAnswer: -98\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 338 in -3, 0.05, -60, -1, -14?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/5 - 894*y\/5 + 2664\/5 = 0.\nAnswer: 3, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 bigger than 1233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 94? (a) 2\/63 (b) 3 (c) 2 (d) 2\/319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-323)\/(-38) - 9)\/(4\/(-95064))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -104\/5, 2, 5, -3, -217.\nAnswer: -217, -104\/5, -3, -2\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0384101 to 4 dps.\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24741 is divided by 575.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4, 0.5 in descending order.\nAnswer: 0.5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-3)*(0 - 2). Let o be -4*(w - 3*-2). What is the units digit of ((-220)\/o*1)\/((-1)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 4:06 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26532, 26520, 26508, 26496, 26484, 26472?\nAnswer: 26460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40073 * 1.\nAnswer: -40073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3034*l + 3210*l + 5977*l)*(2*l + l - l) to k + i*l + c*l**2 and give c.\nAnswer: 12306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 16 + 14. What is the common denominator of ((-2)\/5)\/2 - (-2478)\/240 and (76\/90)\/((-1)\/v)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-25)\/(-150)*-3*63\/(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2705240799 to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -196?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.459 - 0.059. What is the nearest to -0.1 in -1.9, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 9*k**3\/2 + 23*k**2 + 41*k\/2 + 2 = 0.\nAnswer: -4, -1, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -2*t**6\/75 + 74*t**5\/25 + 5*t**4 + 1364*t + 3. What is s in h(s) = 0?\nAnswer: -1, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -4 - -2)*(1 - 0). Suppose i + 169 = 4*z, -4*i = -z - l + 49. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -129\/641?\nAnswer: -129\/641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -215.6 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1023*m**3 + 204*m**2*w**2 + 106*w**2 + 6840 wrt m?\nAnswer: -3069*m**2 + 408*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 2*u**2 + 3*u + 2. Let c be h(-3). Solve -3*p - 7 = 4*q, -q - c*q = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 694922.8 centuries?\nAnswer: 69492.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -26*n**3 - 22*n**2 - 30*n + 5. Is m(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7771, 3, 0, 10, -36, 5.\nAnswer: -7771, -36, 0, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 18. Let j(i) = -i**2 + 7*i - 6. Let c be j(q). Suppose c*u = -a + 13, 0*a = -5*u - 3*a + 18. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 8 - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -230*p**2 + 1609*p + 9. Determine o(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2295044 is divided by 286854.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -659.290235 rounded to 1 decimal place?\nAnswer: -659.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (110\/(-4))\/((-18)\/36). Let s = 82 - d. Calculate the greatest common factor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -602 - 3*i**2 + 2*i**2 - 588 - 6*i**2 + 4*i**2 to the form c + b*i + m*i**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 600, 952, 1304, 1656, 2008, 2360?\nAnswer: 2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -152515140 to the nearest 10000.\nAnswer: -152520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11340)\/297 - -38) + (-96)\/(-495)?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32216290 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 5*n**2\/2 - 5*n - 12049. Let d(m) = m**2 + 2*m + 1. Let z be d(-3). What is x(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461329?\nAnswer: 11, 17, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 84 = 2*s. Let p be 4\/(-10) - (-579)\/(-15). Let v = s + p. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -90763560 - 1?\nAnswer: -90763561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014217 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -93*m - 846. Which is the closest to m? (a) 0.4 (b) 2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1372*b**4 - 208*b + 405305?\nAnswer: 5488*b**3 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/60 + 5*m**3\/6 + 2*m**2. Let x be u(-4). Let p = -10 - x. Sort -5, -4\/9, p.\nAnswer: -5, -4\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1477 - 4*l + 1477. Let d(h) = 10*h. Calculate d(y(r)).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11357 divided by -2.\nAnswer: 11357\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2095561 is divided by 209553?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.07, -0.8, 0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m. Let g(t) be the second derivative of -t**3\/3 + 2*t + 254. Give u(g(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -16. Does 3\/7 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3169 or -3175?\nAnswer: -3169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -805, -1138, -1471, -1804, -2137?\nAnswer: -2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32042324*y**5 - 24*y - 14318 wrt y?\nAnswer: 640846480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3076586 is divided by 769145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17172 and 16924437?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2030 - -11?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -49*n**3 + 2*n**2 + 4*n + 3. What is the lowest common multiple of r(-1) and 45?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4, -4*v + 4*k - 5*k = 14. Let g be 136\/1 + 7 + v. Let h = g - 98. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17126167?\nAnswer: 31, 113, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - -6*sqrt(90)\/sqrt(10))\/((sqrt(270)\/sqrt(9))\/sqrt(10)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/12 + -41\/84. Put 13, v, 3 in decreasing order.\nAnswer: 13, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/(r\/r**(-3)))\/((r**(1\/3)*r)\/(r\/r**3))*(r**(1\/4)\/(r*r**5))**(6\/5) assuming r is positive.\nAnswer: r**(-487\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(3 - 14\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29058, -58253, -87448?\n\"Answer: -29195*d + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -215?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1527.7 + 1447. Let b = m - -73. Let z = -8 - b. What is the smallest value in -3\/2, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3378, -3387, -3396, -3405, -3414?\nAnswer: -3423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.46 * 27.\nAnswer: -12.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -12, -20, -6, -5 in ascending order.\nAnswer: -20, -12, -6, -5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 3. Let h be v(2). Suppose 4 = -4*u, -3*x = -8*x - 5*u. Let c(s) = h - x - s. Let g(r) = 2*r**3 - r**2 + 5*r - 1. What is 5*c(m) + g(m)?\nAnswer: 2*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*z + 22. Let k be 80\/(-6)*(-6)\/z. Suppose -k = -4*u - u. Solve 0*y = y + u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185 + -130. Let d = s - 52. Calculate the least common multiple of 8 and (d\/(-2)*-1)\/(9\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 22*x - 95 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*s = -16 - 4, -3*s = 3*v - 365 + 350 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 + 3\/6. Suppose 3*p = -f + 6. Let o(q) = -q + p*q + q. Let x(s) = 2*s. Give x(o(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10))\/(((-1)\/(-12))\/1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**5\/30 + k**4\/2 + 5*k**3\/6 + 6*k**2. Let v be b(6). Differentiate v*t**3 + 8*t**3 - 2*t**3 + 9 wrt t.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 9) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 6 = -4*j + 85, -96 = 5*j - 4*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 14*x**2 + x - 9*x**2)*(2 - 2 - 2) as p + w*x + d*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(605) + -3 - sqrt(605))**2 + -5 + sqrt(15)\/sqrt(3) + (sqrt(5) + 2 + sqrt(500))**2 + sqrt(720) + -4.\nAnswer: 58*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 1 + 15 - 16 - (0 - 3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 18*a - 2*c - 15 = 0, 0 = c + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-576)\/(-1344))\/((-45)\/(-63))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 12 = -8*y. Solve -s - 4*h = s - y, 5*s - 3*h - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.32909 millennia in centuries?\nAnswer: 933.2909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2. Let p(a) be the second derivative of -a**4\/3 + 10*a. Give p(u(q)).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = f, -f + 4 = -4*v + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 + 10*b**4 - 4*b**3 + (3 + 1 - 1)*(b**4 + 3*b - 3*b) - 4538*b**2 + 82*b**4 + 4538*b**2.\nAnswer: 95*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/107))\/(t*t**(-1\/23)))\/((t\/(t*t**(1\/13)\/t))\/t)**(-6\/13) assuming t is positive.\nAnswer: t**(11091\/415909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, k: 2, g: 4}. What is prob of sequence kllg?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -25. Let o = u - 12. Let w be (-1515)\/(-12) - 2\/8. What is the highest common divisor of o and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2255*a**3*o**3 - 2*a**2*o**3 - 30*a**2*o - 30*a wrt a.\nAnswer: -13530*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 465, 3, -3, -5, 1 in increasing order.\nAnswer: -5, -3, 1, 3, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-15 + 12) - 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 8358?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11068 is divided by 5486?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 6960 (b) -5 (c) 3 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.589138 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-108)\/27 + (-55)\/(-15). What is the smallest value in -4\/9, 3, b, 3\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 99876.\nAnswer: 5\/16646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2673*u**3 - 1341*u**3 - 1339*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 95*i**2 - 2856*i + 188. Determine k(30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d + 2*d - d**3 - 2*d**2 - 2*d**2 - 8. Let g be p(-7). Suppose -3 = -b, -3*b - 250 = -5*f + g. What are the prime factors of f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/41, -48, 3, 5, -4\/9, 129 in increasing order.\nAnswer: -48, -4\/9, -1\/41, 3, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 + 21084953\nAnswer: 21084953.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w - 0*d - 3*d, -5*w + 3*d = -13. Solve 0 = -a + 2*a - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 985, 1420, 1303, 634, -587, -2360, -4685?\nAnswer: -7562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/107 (c) -142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.73 - 74.73. Let z = 49 + u. Let r = -23.999967 - z. Round r to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1845044 divided by 1262?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119878 and 2.\nAnswer: 119878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 54. Let h be m(0). Let j be 21\/h + (-2)\/(-9). Let u = 0.14 + -0.04. Which is the nearest to 1\/4? (a) u (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/586160?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3765381\/92 - -40949. Let p be -1 - (148\/(-20))\/(46\/5). Let q = p + i. Calculate the common denominator of 77\/8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3200*j**2 + 1393?\nAnswer: -6400*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-211)\/2)\/(4\/(-80)). Suppose -11*t + 112 = -4*t. Suppose 21*s - h = t*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3134864 rounded to four decimal places?\nAnswer: -0.3135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50993, -203934, -458825, -815666?\n\"Answer: -50975*s**2 - 16*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 661*n**5\/20 - 13*n**4\/2 + 1798*n. What is the third derivative of p(s) wrt s?\nAnswer: 3966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -5 (c) 0.06 (d) -169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 41661638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*x + 2394 = 68*x. Let v be x\/(-38)*(-4)\/(-3). Which is smaller: -13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173431.\nAnswer: 173431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, t: 6, e: 4, r: 6}. What is prob of picking 1 r and 3 t?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 5. Give n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001115 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*v = 14, -3*y = y + 5*v - 18. Suppose -2*i - r = -17, 3*i + 0*i - 15 = y*r. Let u(k) = i*k + 2 - 5*k**2 + 2*k**2 + 4*k**2 + 1. Determine u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -1512040?\nAnswer: 1512033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 148230*t - 148227.\nAnswer: -3*(t + 1)*(t + 49409)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2))**(5\/12))**(-5\/18)*(((u*u\/u**(4\/11))\/u)\/(u**(-3\/4)\/u))**(3\/11) assuming u is positive.\nAnswer: u**(37045\/52272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 63\/35)*10\/(-6). Let z = 45\/7 + -239\/35. Let n = 207\/11 - 19. Which is the closest to n? (a) -1 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/2*(5 - 6). Let w = 33.4 + -42.4. Which is the nearest to 1\/4? (a) -4\/3 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 3. Suppose 0 = -5*r + f - 3. Calculate the greatest common divisor of r and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12080465 - 26324446. Let i = 9513014 + p. Let k = i + -69033. Round k to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8583719 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4 - 3*i**3 - 13*i**2 + 15*i = 0.\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 3*g + 17, g = -2*u + 4*g - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -53 + -2 + (126 - 269) + 138\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*3*(-16)\/12. Let o = d + -1. Calculate the remainder when 29 is divided by -2 - (3 + o) - -15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 70*m**2 - 13*m + 50. Is s(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -24, 3 in descending order.\nAnswer: 15, 3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*m + 15 = -14, 0 = -4*k + 5*m + 35. Suppose k*s - 2 = 13. What is the highest common factor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2237868 by -6.\nAnswer: -372978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/18*-3 - -3)*12. Let f(o) = -10*o**2 - 16*o + 16. Let m(w) = 2*w**2 + 3*w - 3. Suppose 8 + 7 = 5*x. Give x*f(v) + z*m(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22019, 88087, 198203, 352367, 550579?\n\"Answer: 22024*l**2 - 4*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -423 + 427. Suppose 9 = -4*t - g, 2*t - m*g - 19 = t. What is the third smallest value in 2, 18, t?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20022 (base 4) in base 7?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - t - 5*t + (-9 + 9 + 4*t)*(4 + 0 + 2) in the form v*t + b and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -15092632 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -96 - 5?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Let t(y) = -1 + n*y + 1. Let v(o) = 2*o**2. Give t(v(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k + 0*k)*(-299 + 199 + 163) as v + l*k and give l.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -164*t**2 + 12*t + 458. Let m(d) = -33*d**2 + 2*d + 92. Let p(k) = -2*i(k) + 11*m(k). Find the first derivative of p(a) wrt a.\nAnswer: -70*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2aa - -6fc?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -5*v - 5*a + 59, 2*v - 5*a + 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*m, -2*d = -7*d + 5*m - 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1884395601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 12. Calculate the smallest common multiple of n and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1114 and 826031?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-217)\/62)\/((-3059)\/(-106628))\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(-5\/13))**(3\/11) assuming m is positive.\nAnswer: m**(30\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -2*k - 2*k, -2*k = 4*s - 22. Put s, 1, 24 in increasing order.\nAnswer: 1, s, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 536 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-65)\/(-6))\/(-13)*1)\/((-1040)\/(-312)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166596790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k + 3243*k**2 - 1071*k**2 - 24*k.\nAnswer: 2172*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414\/15*30\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -31, -10, 19?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6309599?\nAnswer: 6309599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253 - 249. Solve -2*s - 4*g = 2, y*s + 16 = 4*g - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(104)*2*5)\/(sqrt(200) - (sqrt(200) + sqrt(200)*-2)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/3)\/((-4)\/(-12)). Let j be ((-2)\/(-4))\/(2\/12). Let s = j + v. Solve s = -5*r - 4*q - 11, 6*r - 4*r + 6 = -2*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, 0, 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10571356 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*((1*sqrt(605) + 4 - sqrt(605))**2 - (sqrt(605)*-1 + -2) - ((sqrt(605)*2 + -5 - (1 + 1*sqrt(605)))*3)**2).\nAnswer: -11990*sqrt(5) + 57510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 132\/10*(-80)\/(-6). Calculate the greatest common divisor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*m + 223 = 41 + 30 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 - 2) + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 32. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 287.5 + -287. Put 4, -4, r, -1 in decreasing order.\nAnswer: 4, r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**4 - 2*k**4 - k**4 + (2*k**4 - 2*k**2 + 2*k**2)*(-3 + 3 - 2)*(-448 + 849 - 463) in the form d + o*k + x*k**3 + m*k**2 + w*k**4 and give w.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(3 - -9) - (-5 + 0). Solve v*f = 2*f - 78 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 - (-622226)\/8. Let l = -23853 + 7075. Let v = l + n. What is v rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - 2*d + 2*a, 5 = -5*d - 5*a. Suppose -g - 13*m + 9*m + 2283 = d, -2*g + 4575 = -m. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7311644.51 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4480757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 67990000 to the nearest one million.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 29788110*k - 44366574868605.\nAnswer: -5*(k + 2978811)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-180)\/(-42) + (-2)\/7 - 30\/5. Sort 0.5, u, -1051 in decreasing order.\nAnswer: 0.5, u, -1051","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46814\/133 + -352. Is 0 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**3 - w**3 - 6*w**2 + 8*w**4 - 3*w**2 wrt w.\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 5\/6*o**3 - 1\/24*o**4 + 1\/120*o**6 + 0 - 1\/15*o**5 + 0*o + 3*o**2. What is the units digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + -0.8. Let t = 21 - 20. What is the nearest to x in 0.4, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -3, 6016 in ascending order.\nAnswer: -34, -3, 6016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603003677?\nAnswer: 603003677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -5*u + 48372, 4*u = 4*m + 34215 + 4505. What are the prime factors of u?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 23 + 12 - 18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167003, -334081, -501157, -668231, -835303, -1002373, -1169441?\nAnswer: -1336507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*z = 54, -z - 64 = 5*y - 8*y. Let n be (1 + 1 + -1)*2. Suppose -35 = -4*v - n*g - 3*g, 4*g = -2*v + y. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**2)\/a*a*a**(4\/5))\/(a*a**(-1\/2)*a*a*a**10*a*a) assuming a is positive.\nAnswer: a**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**4 + 2*f**4 + f**4)*(3 - 3 - 1) - 43*f**4 + 2*f - 9943 + 9943 as y + t*f**3 + w*f**4 + n*f**2 + q*f and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -46606900 rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 440466.\nAnswer: 880932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9*y**3 - y - 1. Let f = 0 + 3. Suppose -5*m + 2*w = -3, -w - 1 = f. What are the prime factors of z(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111101111 (base 2) to base 8\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2)\/((-2)\/(-4)). Let f be (4\/6)\/(l\/(-18)). What is the tens digit of (-17)\/(-2) - f\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 16*z - 10. Suppose 0 = -27*x + 32*x - z. Suppose x*o - 2*a + 78 = 0, -3*o + 3*a - 4*a - 97 = 0. What is o rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-39 + 9)) + 6 + 10.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v + 3. Suppose 9*f = 4*f - 35. Is j(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 * 0.99\nAnswer: 0.05544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 6*m + 2. Let c be n(-4). Let r = c + 11. Let u(w) = -w**2 + 9*w - 6. Let f be u(8). What is the highest common divisor of f and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/21 in 3, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3801863*164.\nAnswer: -62.3505532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26710892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7421*u**2 - 13930*u - 14. Let v(w) = 3*w**2 - 3*w + 2. Let t(i) = -f(i) - 7*v(i). Find the second derivative of t(g) wrt g.\nAnswer: -14884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*b - 4*t, 2*b + 7*t + 1 = 4*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.12 (b) -2\/5 (c) -2\/9 (d) -0.3 (e) 165 (f) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17.1, -0.17.\nAnswer: -17.1, -3, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-22\/5))\/h**(18\/7))\/((h\/(h\/h**(-6)*h))\/h)**(-13))**(-48) assuming h is positive.\nAnswer: h**(184752\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + y - 29 = 0, -3*r = -6*r + 5*y + 23. Let f be (-156)\/8 + r\/(-4). List the prime factors of 3\/(1 + f\/30).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15118 - -272027\/18. Calculate the common denominator of t and (-1 - -3) + 5 + (-165)\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6067774.\nAnswer: 2, 733, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5736 and 6552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25 + 36)\/((-256)\/(-254) + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1497*1\/(-4)*(1 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67216.4 - -6100791.\nAnswer: 6033574.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 + 81*y**3 - 351*y**2 - 609*y + 882 = 0. Calculate y.\nAnswer: -2, 1, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -i - 9*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(544)*-2 + sqrt(544))*2 - (sqrt(544) - (-1*sqrt(544)*1 - sqrt(544))))\/(-1*sqrt(242)*6 + -2*(sqrt(242) + sqrt(242)*-2)).\nAnswer: 5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.45 + 7?\nAnswer: 17.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 4315202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 113*v - 3. Is q(6) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -301051\/150 + 6014\/3. Find the common denominator of -121\/40 and w.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/76 and -59\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*((-2)\/380)\/(-3*11\/(-264))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y**(1\/4)*y*y)\/((y\/(y\/(y\/(y*y**(-1\/9)))))\/(y\/y**(-2\/23))) assuming y is positive.\nAnswer: y**(3223\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 - 14*b**2 - 47*b**2.\nAnswer: -70*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5489*z - 8290 - 299806 = 1412*z + 50756 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(363)*-2)\/sqrt(11))\/(sqrt(33)\/sqrt(44) - -2*sqrt(300)).\nAnswer: 16*sqrt(11)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -26, -41, -74, -131, -218?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 40068.2 to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 p when four letters picked without replacement from {p: 6, j: 3, r: 4}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(76) + (sqrt(76) + ((-3*sqrt(76))**2 - sqrt(76)))*-5 - 3*sqrt(57)\/(sqrt(243)*-4).\nAnswer: -3419 + 25*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 2, i: 9}. Give prob of sequence di.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32264823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184232, 184233, 184234, 184235?\nAnswer: 184236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*j + 441 = 222*j + 156. Solve -30 = -j*y - 2*f, -y + 4*f = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 205\/(-902)*((-1722)\/(-205))\/1.\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-110)\/(-25) - 4)\/(16\/(-370)) and 2\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 6*y + 2. Let r be m(-6). Suppose 3*t = -r*t + 5. What is the common denominator of 22\/7 and (t + 29\/(-14))*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 20*x**3 + 320*x**2 - 12*x - 104. Let v be a(-16). Let r(n) = -n**3 + n**2 + 4*n - 8. Let l be r(-6). What is the greatest common factor of l and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwgnqwnqwwwwwgngg. What is prob of picking 1 g and 1 q?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 271439896 and 364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*s**3*w**3 - 18*s**2*w**3 - 5*s**2*w**2 + s*w**3 wrt s?\nAnswer: 756*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38829.8 - 38841. Which is the smallest value? (a) 15 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 + 7*a + 5. Let n(h) = -2*h**2 + 3*h - 2. Let j(f) = -3*f**2 + 3*f - 3. Let v = -6 + 1. Let s(r) = v*n(r) + 4*j(r). What is 4*q(x) + 9*s(x)?\nAnswer: 2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 minutes before 5:18 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:54 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*f + 6 + 26, -3*d + 9 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8320.69408 to 1 dp.\nAnswer: 8320.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3763 (base 9) to base 13\nAnswer: -1383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 39*h - 14. Let g(p) = 2*p**2. Determine c(g(v)).\nAnswer: 78*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7d8a (base 14) to base 10.\nAnswer: 21878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/4 in 0.02, -0.1, -3, 2\/5, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -18632 smaller than -18683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 6*m. Suppose -5*g - o = -107, -5*g + o + 103 = -m*g. What is the highest common factor of g and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - a = -0*a + 15, 5*f = -2*a. Suppose n = -0*n + p, 0 = 4*n + 5*p - 36. Let k = n - 2. What is the smallest common multiple of k and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -9.1. Let m = 0 - d. Which is the second smallest value? (a) -0.1 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + 31. Let t = r + -189. Let i be 2\/(-5) + t\/(-10). Solve -1 + i = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.769 greater than or equal to 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 229 and 246862?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 5*j - 3. Let b = -17 + j. Suppose 0 = 3*x - b*x + 16. Solve 0 = -z - 5*c - 20, -1 + x = -2*z - 5*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h + 8 = 0. Let y(s) = -s**2 - 8*s - 6. Let l(n) = -n**2 - 2*n + 12. Let w be l(-5). Let c be y(w). Which is greater: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 14793989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3246216 is divided by 104714.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*r + r, 5*c = -2*r - 4. Let u(f) = -f + 24. What is the remainder when u(c) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*f - 12343 = 0, -16*y + 18*y - 8232 = 3*f. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.46 - -0.56. Suppose 3*d = 16 - 4. Let t be d\/(-6) + 15\/36. What is the closest to t in b, -3\/7, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - 3*x**2 - 3*x + 3. Let o(g) = g - 2*g + 65 - g**2 - 64. Calculate 3*o(v) - y(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*s)*(-2*s + 3 - 3) + (3 + 0 + 1)*(3*s**2 - 21*s**2 - 2*s**2) in the form y*s + t + i*s**2 and give i.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g**2 + 392*g - 820. Let f(z) = 15*z**2 - 788*z + 1635. Let b(w) = -7*d(w) - 4*f(w). Factor b(a).\nAnswer: -4*(a - 100)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021892 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a week in hours?\nAnswer: 3248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -902*i + 17 + 201*i - 65 + 48 to the form n + x*i and give x.\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/135 + (-156)\/(-54))*2\/3. Solve 9 = -4*w + 3*c, 3*w + 3*c + 14 = r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100724 by -596.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in 363, 125, 5?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b7 - 3?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 + 105*r**2 + 23*r. Let d(a) = 3*a**3 - 46*a**2 - 12*a. Calculate -5*d(w) - 3*g(w).\nAnswer: 3*w**3 - 85*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(44) + -3 + -3.\nAnswer: -6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11509 = 510*p - 1958 + 207 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + 5 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 44, 103, 186, 293, 424, 579?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105036246 or -105036244?\nAnswer: -105036244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((2 + -1)*-1 - -2) + 3. Let q(a) = -2*a**2 + 6*a - 1. Calculate q(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 27*d + 132. Give j(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61568852\/4011 + 15350. Is 0 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-7 - -6 - 10) + -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide (-128)\/(-96) - 8396\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 g when three letters picked without replacement from {t: 3, h: 7, l: 2, g: 3, u: 5}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 2*f - 3. Let i be a(0). Let k(j) = 4 - j + 2 - 3. Determine k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 44 = -4*c + 60, 3*y = 4*c - 112. Solve 3*g = -5*u, -u + 20*g - c*g + 22 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8*720\/(-2040))\/((-2)\/1)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.77\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 197.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2794 - -96?\nAnswer: 283a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60.7 - 60.5. What is the fourth biggest value in -1, 1, k, -0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -393189\nAnswer: 1\/131063","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/65*(-15)\/(-6)*75\/(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m + 13. Let v(a) = 4*a - 6. Let z(s) = -5*v(s) - 3*y(s). Let g be z(8). Calculate the remainder when g*(35*-1 - -2) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-30)\/(-25))\/((-4)\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + -7 + (-1211)\/(-105). Let d = -10 + 14. What is the closest to 2\/5 in p, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/5)\/(24 - 20 - 0). Let q = 33 + -98\/3. Which is the smallest value? (a) q (b) 0.05 (c) -1\/2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**5 - 1068*i**4 + 350*i**2 wrt i.\nAnswer: 60*i**2 - 25632*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**3\/3 - 872. Let g(o) = 6*o**2 + 9*o. What is p(g(i))?\nAnswer: -36*i**4 - 108*i**3 - 81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*h + 23*h - 2356 = 11399 + 571 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 85, 79, 59, 19, -47?\n\"Answer: -g**3 - g**2 + 4*g + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 910 divide 74800180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915955 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39855049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5 + 4 + v**2 - v**3 - 2*v - 3 - 2*v**2. Give i(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*d**4 + 214*d**5 + 9*d**4 - 645*d**5 + (0 - 2 + 1)*(-5*d**5 + 0*d**5 + 3*d**5).\nAnswer: -429*d**5 - 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 - 201. Suppose 4*y + n = 57, -5*y + 7*n - b*n + 65 = 0. Solve -10*c - y = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4297*f + 4291*f - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -1, -4\/17, -0.1 in descending order.\nAnswer: 0.9, -0.1, -4\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1216)*-2 + 0 + (-4*(0 + sqrt(1216) - sqrt(1216)) - 3*(sqrt(1216) + -1)))**2.\nAnswer: 80*sqrt(19) + 30401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4497 - 4489. Solve -z - u = -5*a + 2, 3*z + 2*a = 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 31 - 71*m + 41.\nAnswer: -71*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311 - 113 = 30*j - 72 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 154 - 3*v + 154. What is the remainder when 39 is divided by t(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x. Let t(p) be the third derivative of p**7\/2520 - p**5\/30 - 10*p**2. Let i(c) be the third derivative of t(c). Give s(i(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 32. What is the third biggest value in u, 4, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2259*c + 2270*c + 84, 5*c + 30 = 5*t for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + j - j + (3 - 1 + 1)*((32*j**3 + 284*j**3 - 160*j**3)*(-1 + 2 + 1) + 1 - 1 - j**3).\nAnswer: 931*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - 35. Let v = 78 - q. Which is bigger: 0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203 + -203.257. Let t = 10.4 - 12.053. Let f = t + u. What is f rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85 or -251\/3?\nAnswer: -251\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + g**2 + 2*g**2)*(-2*g**3 - g + g) + (26 - 38*g - 26)*(g**4 - 4*g**4 + 0*g**4) - g**5 - 2*g**5 + g**5.\nAnswer: 116*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d - 102. Calculate u(18).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 + 3318*v + 456033\/2.\nAnswer: 3*(v + 71)*(v + 2141)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.73 - -0.27. Let h be (52\/(-117))\/(4\/(-36)). What is the third biggest value in h, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-4 - -24 - 23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 591003 - 30731189\/52. Let z = f - 67\/4. Which is greater: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1301 - 14*l**3 + 2*l**2 + 16*l**3 - 2*l**2 - 1301.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13032505.\nAnswer: 5, 67, 38903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 855 + 3\/2*i**3 - 1851\/2*i + 69*i**2.\nAnswer: 3*(i - 10)*(i - 1)*(i + 57)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 2 + 2)*(-1 - 1 + 1) + 1 - 1 - 3 + (3 - 3 - 4)*(0 - 5 - 3))*(2 + 5*r**3 - 2) in the form q*r**3 + d + s*r**2 + h*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 818 divide 1604260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 498, 260892, -1, -3, 0 in ascending order.\nAnswer: -3, -1, 0, 498, 260892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/7 + 274*v**2\/7 - 18492*v\/7 - 38088\/7.\nAnswer: -(v - 138)**2*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2. Let m(t) = 5*t + 2. Let s(a) = 10*a + 5. Let l(p) = 5*m(p) - 2*s(p). Determine l(u(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + m = 2*m + 1, -4*m = -r + 24. Suppose r*y - 2*y - 10 = -4*i, 0 = -5*i + 10. Suppose j = 1 + y. Solve -j*n = -4*d - 2, 4*d = -3*n + d + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.531547 take away 620.1?\nAnswer: -620.631547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*0\/((-112)\/(-16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 31, 3, -4 in decreasing order.\nAnswer: 31, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 71196.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 + 35 + 82 - -9.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -857*n**2 - 1743*n**3 + 3017*n**3 - 1538*n**3 + 7*n**4 wrt n.\nAnswer: 168*n - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3*6\/(-4). Let v = -13 - -9. Let j be (-4)\/40*v\/(-1). Which is the nearest to j? (a) -4\/9 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 3*p + 3, 23*w - 18 = 26*w - 12*p for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 + 368 - (-1 + 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:55 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514448 at most 1514485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.5 + -4. Let s = 0.05 + -5.05. Let p = -4 - s. Which is the closest to p? (a) 2\/9 (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 8:22 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(21)\/(sqrt(15)\/sqrt(5)) + 4 - ((0 + sqrt(28))**2 + (sqrt(7) - (sqrt(343) + -1)**2)).\nAnswer: -13*sqrt(7) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 40 = 5*g. Suppose 3*k - g - 13 = 0. Suppose -x = -5*s - 21, -2*x = 3*x + 4*s + k. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/11*(-55)\/10. Let u = -4.1 + 4.44. What is the third smallest value in u, 4\/7, t?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 + -7 - (-1 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**8\/840 - z**5\/60 + 29*z**3\/3 - 27. Let n(h) be the third derivative of r(h). Find the second derivative of n(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 30 - 55 - r + 105 - 6.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 446, 1.2, -4\/15, -0.09 in decreasing order.\nAnswer: 446, 1.2, -0.09, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -x + 24, -5*u = 117*x - 116*x - 24. Solve 4 = -2*z - z - 2*k, -5*z = -k + x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/18 + 87\/18. Suppose -y - 84 = -3*c - 0*y, -h*c + 2*y = -139. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 101310002?\nAnswer: -101310023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*s = -28, 5*s - 10 = 5*f + 10*s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/720 and 191\/870.\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -225*f**2 - 5159*f + 368. Let z be p(-23). Find a, given that -5*a - 1\/3*a**3 - 16\/3*a**2 + z = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6770 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4\/4 + 549*c**3\/4 + 2475*c**2\/2 - 31218*c = 0.\nAnswer: -172, -22, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r**(-1\/5))\/(r*r*r\/(r*r**(-8\/7))*r*r**(-3)*r) assuming r is positive.\nAnswer: r**(128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 54*n - 368. Let g be f(46). Let v(s) be the second derivative of 0*s**5 - 1\/135*s**6 + 0 + 18*s + 1\/54*s**4 + g*s**3 + 0*s**2. Factor v(t).\nAnswer: -2*t**2*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/1208*(-6872)\/(-4295)?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -8121397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3676.0039 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-910)\/(-6435)*-27.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70142576 divided by -35071288.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*v - 20, -2*v - 2 = 2*k + 2*k. Let t(u) = u**3 - 3*u**2 - u + 3. Let j be t(3). Solve -x + f - 1 = j, -k*f + 2 = 2*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7819\/69 - -2660\/23. Suppose 0 = -0*q + 4*q. Let b = 2 + q. Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 5)*(-2 + 2*r + 2) - 40*r + 2 + 44*r + 2)*(3*r + 3*r - 4*r - 4).\nAnswer: 12*r**2 - 16*r - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 649339 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 28. Put 2, 3, g in ascending order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 2*p**3\/3 - 3*p**2\/2 - p - 8. Let k be g(-2). Suppose -3*t + 86 = -w, 2*w = -2*t - k + 57. Does 21 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 9:44 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42667959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 66 - (-24 - -20). Is -63 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7245 and 512025885?\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67198, -67228, -67270, -67324?\nAnswer: -67390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72383201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from uhohuhuuah?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 43, 74, 125, 202?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:08 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1660, 0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -32. Suppose 4*x = n + 25. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/13 greater than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35549191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3589*p + 185. Let b(y) = 78*y - 4. Give 185*b(o) + 4*i(o).\nAnswer: 74*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 32*f**2 + 29*f - 77. Does 2 divide p(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**3\/3 - 9*d**2\/2 - 2*d - 12. Let w be c(8). Suppose 0 = -h - 2*j + j + w, -2*j = -3*h + 137. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 7*j**2 - j + 2. Let s = 7 + -5. Let m be (-5)\/10 - ((-65)\/s)\/(-5). Let k be p(m). Is k at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11 and 81208927.\nAnswer: 81208927.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*k = 22, -16 = -5*f - k + 26. Sort 5, f, 1, -5.\nAnswer: -5, 1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k*k**(-3\/29)*k)*k**(-3\/7))\/(k**(10\/9)*k*k*k**(-15)) assuming k is positive.\nAnswer: k**(22954\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 - -465525?\nAnswer: 465572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 + -236. Let l(x) = -x**2 + 14*x - 23. Let h be l(9). Sort h, 2, z, 5 in decreasing order.\nAnswer: h, 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*c = 13, 20 = -5047*m + 5036*m + 2*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 - 65. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/535 and -34\/205174533?\nAnswer: 1025872665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -220245 divided by 1\nAnswer: -220245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*i + 13 - 120 = 0, 0 = z + 5*i + 4. Let v be z\/(-7) - (6\/7)\/(-3). Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*2 - (0 + -30). Let k = 19 - l. Let y(s) = -s**3 - 10*s**2 - 18*s + 9. List the prime factors of y(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 18. Let o = -6 - k. Let n(u) = -u**3 - 2*u**2 - u - 2. What is n(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/2968 and 125\/1116.\nAnswer: 828072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 6*x**2 + 7*x - 7. Let d(h) = h**3 - 12*h**2 + 11*h + 14. Let r = -51 + 62. Calculate the remainder when t(5) is divided by d(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 2\/21*v**4 - 2\/7*v**2 + 0 - 2*v - 2\/105*v**6 - 1\/7*v**3 + 3\/35*v**5 - 1\/49*v**7. Let g(y) = 0. What is y?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:01 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*f - 744 = -748, -5*p - 2*f + 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 395*z - 2. Let v(y) = 2147*y**2. What is a(v(g))?\nAnswer: 848065*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -ba?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78916 is divided by 78515?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018898 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-24) - 11\/((-264)\/78). Let l(i) be the second derivative of -7\/6*i**4 + 0*i**y + 15*i - 4*i**2 + 0. Find the first derivative of l(p) wrt p.\nAnswer: -28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 9*t**2 - 6*t - 2. Let n be u(-10). Let l be (-6)\/40*(-35)\/n. Let j = 3\/8 + l. Find the common denominator of 123\/10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5 + 20*k**4 + 56*k**3 - 496*k**2 + 992*k - 640 = 0?\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23260 is divided by 7887.\nAnswer: 7486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 = -28*y + 68*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1037\/270 and 5\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -16, -2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 1 = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 16258*r - 129. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6489.836 hours?\nAnswer: 23363409600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -157 + 195 + 57 + (-43 - 0)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2 + 4*g**3 - 3*g**2 - 7 to the form f*g + b + v*g**2 + w*g**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (176\/(-32))\/(((-9)\/(-2))\/(-9))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30104 to three decimal places.\nAnswer: 0.301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 2*x**3\/3 - 3*x**2\/2 + 873*x. Let j(a) = a**3 - 2*a**2 + 3*a - 4. Let l be j(2). Give t(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h. Suppose -s = -4*r - 27, 25 = -4*s - s. Let u be -3 - (r + 2 - -1). Let a(x) = -2 + 2*x + u + 0. Determine f(a(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 - 9.3. Which is the fourth biggest value? (a) -9\/23 (b) k (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -339*n**5 - 1771*n**2\/2 - 575. What is the second derivative of i(m) wrt m?\nAnswer: -20340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - -133331?\nAnswer: 133244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4)*-6)\/((-6)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - h - 7. Let a be n(4). Suppose -a*v = -0*v - 265. List the prime factors of v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6*(-90)\/(-12). Let u(f) = -f - 4. Calculate u(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Suppose -3 + l = -w. Find the second derivative of 2*h - 4*h - 2*h**w + 0*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b - 13*b - 112. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 7) to base 2.\nAnswer: 1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9707808?\nAnswer: 2, 3, 11, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-14)\/420*-42.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/30 - 3*d**4\/8 + d**3\/2 - 24*d**2. Suppose 0 = -4*o - 5*z - 17, -2*z + 6 + 0 = 0. Is c(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 10, 24, 50, 94, 162, 260, 394?\n\"Answer: v**3 - 3*v**2 + 10*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 3264*g + 9828.\nAnswer: -4*(g - 819)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-7276)\/(-216))\/(-17) - 2\/4 and 181\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -0.5, -0.1, 5, -3716, -0.107, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -19. Let f = -0.8 + -0.2. Which is the closest to f? (a) 1\/2 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - l + 1. Let r be t(1). Let k be (14 - 18)*(-34)\/r. What is the highest common factor of 102 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402469 divided by 3?\nAnswer: 800823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2250 and 25875.\nAnswer: 51750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3 (b) -5 (c) -5\/2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - (168 - 49) - (-2 + -29).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2653919 is divided by 570?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/303 (b) -3\/2 (c) -3445\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/24)\/((-4)\/(-8)). Let p = -5.53 + 5.5. Let h = 0.08 + p. Put -2\/5, i, h in descending order.\nAnswer: h, i, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.771 + 3.6. What is m rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4736, -9667, -14598?\n\"Answer: -4931*c + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5142 - -0.649. What is i rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.043046 rounded to three dps?\nAnswer: 2.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 1751 + 1707 = 2*y, 20 = 3*r + 2*y for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + o**2 + o + 1. Let d be k(-1). Let j be (d + -1)*(-204)\/(-6). Suppose -3*p + j = -44. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 7) in base 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-12 - ((-36 - -11) + 14))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s - 1. Let r be i(1). Suppose -3*a = -a - r. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**2 - 6047*j - 5*j**5 + 4*j**6 - 4*j**2 + 6045*j wrt j?\nAnswer: 480*j**3 - 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/118598 and -29\/28348?\nAnswer: 88474108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 + f**2 - 2*f - 74. Does 45 divide i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -102*k - 5056. Calculate q(-51).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252)*-2)**2 - (0 + sqrt(343) - ((-2*sqrt(42))\/sqrt(6) + sqrt(7))) - (2 + -3*(sqrt(343) - (sqrt(343)*-2 + 4))).\nAnswer: 55*sqrt(7) + 994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(196) + (sqrt(3136) - (sqrt(3136) + sqrt(3136) + 2*sqrt(3136))))\/(2*sqrt(1008) + (sqrt(70)*-2)\/sqrt(10)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -30, -55, -80, -105?\n\"Answer: -25*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 723 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76 or -16254?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*p = 0, 4*a + 11 = 5*p + 39. Find the second derivative of -145*h**a + 139*h - 71*h**2 + 340*h**2 wrt h.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64\/5, -0.2, -22, -3, -2 in descending order.\nAnswer: -0.2, -2, -3, -64\/5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.052412334 and -0.3.\nAnswer: 0.0157237002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -299, -1\/83, 25, -0.5 in decreasing order.\nAnswer: 25, -1\/83, -0.5, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -49*q**4\/6 - 161*q**3\/3 - 613*q**2\/6 - 46*q - 6 = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/497 (b) 8677 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 394 - 44. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/((-746)\/376 - -2). Suppose -10 = -k*v + 93*v. Calculate the highest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10249 divided by 31?\nAnswer: -10249\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 16*g**2 - g - 6. Let h be i(-16). Let d = -17 + 10. Let o = h + d. Solve -o*b + 5 = -4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 952 and 7112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 19. Let x be z(7). Solve 4*m - m = x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9446291 times -1.5?\nAnswer: -14169436.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/20)\/((-1460)\/296 - -5) and 11\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/16*-30 + (-3 - 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1) + (8 - 9). Suppose 4*y = 6*y. Suppose 2 = x*q - y. Is q < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -19*v**3 + v**2 + 11*v**3 - 6 - 4*v**2 + 9*v**3 + 7*v. Does 7 divide s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6. Suppose 3*j = 4*f - t*j - 611, j + 617 = 4*f. Suppose -5*l - 183 = -4*z + f, 2*z - 4*l = 166. What is the lowest common multiple of 4 and z?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, 2\/3, -2, 2\/519?\nAnswer: 2\/519","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.6, -2, 3\/26, -3?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -5*l**7\/42 + l**4\/3 + 8*l. What is the third derivative of u(f) wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ittttttittit. What is prob of picking 1 i and 3 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f + 141. Let l be x(0). Let n be (-4)\/(-9) - 75354\/1026. Let w = n + l. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose 2*y = j*y + 4. Put y, 5, 4 in ascending order.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20985749150 to the nearest one million.\nAnswer: 20986000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9201355*y**2 - 2*y + 2*y - 9201541*y**2.\nAnswer: -186*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16736 - -16736. Let a = 0.7 - 0.3. What is the closest to -0.1 in 1\/5, -7, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znz. What is prob of picking 1 z and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 2*h - 14800004, 3700006 = -w + 3*h. What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 - 3*g + 1. Let v be i(4). Let o = 175 + v. Suppose 2*r = 4*r - o. Calculate the remainder when 50 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.1 (b) 4\/201 (c) 1\/9 (d) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 815304 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: Let u = -0.5196 + 0.0196. Let j be ((-4)\/12)\/(1*(-6)\/243). What is the third biggest value in u, j, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 7*z**2 + 6*z. Let f be a(6). Let r be ((-9)\/(-5))\/(-3 + 48\/15). Let n be -2*((-90)\/4)\/r. Solve i + n = -f*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 10*g**2 + 13*g + 1 + 0*g**2. Let f be q(-2). Suppose 0 = -24*h + f*h - 174. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11639482?\nAnswer: 2, 5819741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 386544?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 40. Let k be o - (-2)\/((-4)\/(-2)). Suppose -33 = -2*y + k. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*2 + (-230)\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/169572 and -149\/10998.\nAnswer: 23909652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29599690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, c: 4, h: 7}. Give prob of picking 1 n and 2 h.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + 12. Let y(p) = -p**3 + 3*p**2 + 4*p + 1. Let k be y(b). Let t = -58 + 110. What is the greatest common divisor of k and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111*-0.1.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.382 + 7.376. Let i = 5.79 - v. Let k = -0.074 - i. What is k rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from ecccvvvvvvvvccccvvc?\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -b + 23, 2*a - b = 4*a - 8. Solve 3*z - 32 = -5*t, 0 = -a*z - t + 9 + 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by 7.\nAnswer: -166\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 16*s + 2. Let r be d(-16). Suppose -3*u - 41 = -r*v, -4 = u - 1. What is the smallest common multiple of 14 and v?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = c - 0. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/4)\/2*1. Let v(p) = -p**2 - 7*p + 4. What is v(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397.1 rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95600196 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-93309399.\nAnswer: 93309399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(108) + sqrt(12) - (sqrt(36)\/(sqrt(9)\/sqrt(3)) + sqrt(12) + sqrt(12)))\/(2*sqrt(4)*4 + sqrt(4) + sqrt(48)\/(sqrt(24)\/sqrt(2))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -40, 2\/7, 0, -0.7, 3\/25 in increasing order.\nAnswer: -40, -0.7, -4\/7, 0, 3\/25, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**9)\/k*(k*k**(3\/7))\/k)**39\/((k*k**8)\/(k*k\/k**(-2)))**(6\/17) assuming k is positive.\nAnswer: k**(-39990\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(39)\/(sqrt(363)*1))**2 - ((sqrt(117) + 1)*-4 + -2)**2.\nAnswer: -230933\/121 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3458 - -25?\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 9*t**2 + 2*t + 3. Let l(v) = v**3 + 8*v**2 - 2*v - 2. Calculate 3*l(c) + 2*z(c).\nAnswer: c**3 + 6*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*h**4 - 2546*h**3 - 2*h - 10467279.\nAnswer: -224*h**3 - 7638*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19395481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021246808 rounded to four decimal places?\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 17, 5\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -59. Suppose -3*l = -8*l + s. Suppose 3*d - l*d = -250. What is d rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 3*k + 3. Let t be n(5). Suppose -2*x = -4*x - t. Let w = x + 16. Sort 4, w, 0 in increasing order.\nAnswer: w, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 451*b**2 - 2869*b - 4315. Calculate z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 575181.3 millennia?\nAnswer: 57518130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48920 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-45 - (4 + -11)) - (7 - -2).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-10 + 2 - 26)*(-n + 3*n - n) + n - 5*n + 0*n + 0*n - 5*n + 2*n)*(-2*n**2 + 2*n - 2*n) to the form b*n**3 + w + o*n**2 + r*n and give b.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2*o**2 + 58*n**2*o + 5*n*o**2 - 39*o**2 wrt o?\nAnswer: 4*n**2 + 10*n - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 6. Suppose 0 = -g + 5. Calculate d(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**1\/m))**(-11\/2)*m*m*m*m**(-2\/35)*m\/m**9 assuming m is positive.\nAnswer: m**(-739\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*d**2*x**3 - 3*d**2 - d*x**3 + 3*x**3 + 12*x + 1 wrt x?\nAnswer: 366*d**2*x - 6*d*x + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/9 - 3364*f**2\/9 - 51304*f\/9 - 47936\/9.\nAnswer: 4*(f - 856)*(f + 1)*(f + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -63*j - 251. Let b be w(-4). Let s(a) = -34*a**3 - 1. What is s(b)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 - (47 - 44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:38 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:36 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -52. Let b = s + -19. Suppose -4*c + 50 = 5*x, 3*x - 46 = -b*c - 2*c. Solve -c = -5*f + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3109\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 34136972*t**2\/9 - 34136974*t\/9 + 2\/9 = 0.\nAnswer: 1\/17068486, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 - 1357*m - 313 + 131.\nAnswer: -1357*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:47 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -1, 0, 1, 2, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -948 divided by 474?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 32396?\nAnswer: 64792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*a - a. Suppose a = -4*s + 22 - 38. Let b(w) = 3*w**3 + 2*w**2 - 2*w - 2. Let f(v) = -v**2 + v + 1. What is s*f(o) - 2*b(o)?\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 6. Let o(u) = u + 5. Let f(k) = -5*b(k) - 6*o(k). Let g(n) = 15*n**2. Calculate g(f(s)).\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -1\/12*v**3 - 1\/4*v**2 - 4 - 1\/4*v. Factor l(m).\nAnswer: -(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*s + 215*s - 460*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:09 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/9 - 142*n**2\/9 + 4745*n\/9 + 21316\/9 = 0. Calculate n.\nAnswer: -4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2823104236165 + -76.\nAnswer: -2823104236241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmaqqqqam?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 17?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, 4, -0.68?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2442\/5*y**2 + 3\/5*y**3 + 99876*y + 989016\/5.\nAnswer: 3*(y + 2)*(y + 406)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3938 is divided by 3835.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - n = -319999, -n - 3 + 2 = 0. Round m to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -767484?\nAnswer: -767486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(28)\/sqrt(4)*2)**2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**2 - 13*j + 679.\nAnswer: 8*j - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22067705 and 605?\nAnswer: 242744755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -539 - -523.5. What is the smallest value in -2, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*r - 4. Let a(i) = i**3 - i**2 + 4*i - 2. Let q be a(0). Let k be (r\/1)\/(1\/q). Calculate the highest common factor of 32 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318066445 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 294869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 17*y**2 + y**2)*(6*y**2 - 4*y**2 + 1 + 0) to the form p*y**2 + b*y**4 + d*y + r*y**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 226, 893, 2006, 3565?\n\"Answer: 223*f**2 - 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/7))\/i**(5\/4)*((i*i**(-2\/7))\/i)**(-28) assuming i is positive.\nAnswer: i**(225\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 4*t**2 + 2*t - 2. Let o be u(5). Let x = -12 - o. Suppose v**3 + 9*v**2 + 2*v**4 + v - 6*v**2 - 5*v**4 - 2*v**x = 0. What is v?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + c - 1. What is the remainder when o(2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = 257 - 17. What is the third smallest value in -2, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 1. Let u = -4.5 + 4. Let j = x - u. Is 0.2 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144 - -61. Suppose 0 = 24*n - 904 - 968. Let v = t - n. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00336394 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let v(n) = -5*n. Let p(c) = c. Let r(w) = -4*p(w) - v(w). Calculate r(o(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-152)\/25 - -2) + (-29)\/((-13050)\/36). Let z(r) = -5*r**2 + 3*r - 7. Let q(a) = 5*a**2 - 4*a + 8. What is c*q(h) - 5*z(h)?\nAnswer: 5*h**2 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:20 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 857 divided by -29?\nAnswer: -857\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*r - 38*r = -311*r + 22386 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 81*l - 42*l - 45*l)*(-3*l - 2 + 2).\nAnswer: 18*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -3 (c) -2 (d) -2.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*-3*sqrt(200) + (1 + sqrt(200) + 4)**2 - (1 + sqrt(200) + 0 + 5*(1 + sqrt(200)))**2).\nAnswer: -7014 - 440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/60 and -92\/272715.\nAnswer: 1090860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, -2.\nAnswer: -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -369*z - 45*z + 7038 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49418*o**4 - o**2 - 16871 wrt o.\nAnswer: -197672*o**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c0bd (base 16) to base 15.\nAnswer: -8b1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4 - p + 0*p**2 + 2*p - 6*p**2. Let a be m(6). Factor 4*h - 8 - 7 + 13 - 2*h**a.\nAnswer: -2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167353370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152719 is divided by 152717.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t - 6. What is u(6)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/27)\/(1\/3). Let h(x) = 4*x**3 - 25*x**2 - 13*x + 11. Let b(j) = -j**3 + 6*j**2 + 3*j - 3. Let s(i) = 9*b(i) + 2*h(i). What is s(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.888 + -235104508.\nAnswer: -235104509.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 82?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 - 5*d**2 + 3*d**2 - d - 3*d**2 - d**2 - 3*d**2 + 3*d**2 + d**2 + d**2 + (-d**2 - 4*d + 4*d)*(-3 + 3 + 1) to h*d**2 + x + p*d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 greater than or equal to -15785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*w + 65*w. Solve 4*c + 0*c = -a + 17, w = 5*c - 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/3, -1\/9, -29?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 15 = -7*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, 5 in decreasing order.\nAnswer: 12, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 23421\/4 and 5855 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2132)\/6560 + (-5)\/(-8).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 77 + 6*q**4 + 0*q - 1\/3*q**3 + 72*q**2. Find the second derivative of o(m) wrt m.\nAnswer: 144*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4792 to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(832) - (6*(sqrt(832) + -1))**2) + ((sqrt(832) + 0)*-6*1)**2.\nAnswer: -37 + 584*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 2877298?\nAnswer: 11509192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**3 + 2*i**2 + 5*i - 7. Let g(o) = -4*o - 3*o**2 + 7 - 4*o**3 + o**2 - 1. Let y = -1 + 2. Let q be -5 - y\/2*4. Determine q*g(x) - 6*s(x).\nAnswer: -2*x**3 + 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and 0.8?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*l + 5*y, 11 = 2*y + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 + 2*y - 54. Let p(z) = 19*z. Give p(h(l)).\nAnswer: -76*l**2 + 38*l - 1026","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595505 is divided by 324?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 974 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12708)\/4149162 + (-48939)\/11754?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 25. Let t = 6 - 4. Suppose 0 = -2*p - 8, t*p - 2 + 4 = -2*j. Solve j*h - 5*h = n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12075 - 12070. Solve -13*c - 9 = -4*t - 14*c, -2*c + 12 = r*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*m + 2*i, 3 = -m - 0*m - 3*i. Let h be ((-30)\/20)\/(m\/(-24)). Let y be (-4)\/((-21)\/15 - -1). What is the greatest common divisor of y and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/2 + 124536*g - 3735855\/2 = 0. What is g?\nAnswer: 15, 249057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1037 minus 12.1823?\nAnswer: -12.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:02 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 + (33 - ((24 - 69) + 30))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68589 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 i = -48 + 73. Suppose -i = -3*w - 1. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**8\/8400 + h**7\/1050 + h**6\/450 - 23*h**4\/6 - h**2 - 17*h + 3. Let r(m) be the third derivative of k(m). Factor r(p).\nAnswer: 4*p*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548179111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*z = -12*z - 134232. Is 360 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 7. What is the lowest common multiple of ((-288)\/120)\/(-1 + (-56)\/(-60)) and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4609958*v**2 + 4352983 wrt v.\nAnswer: 9219916*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 + -64. Let b = v - 36. Let h = -2.02 - -0.02. What is the third smallest value in 2, b, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -6, 0.1, -2, 50?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 3*p**2 + 2*p + 4. Calculate n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49\/2 - 1\/(-2). Let q(o) = 9*o**3 + o. Let n be q(1). What is the greatest common divisor of f and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 plus 0.038?\nAnswer: 86.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 26. Let f be c(-12). Let z be (-4 + 4)*1\/f. Suppose 4*j - 20 = z, 5*p - 7*p = -3*j - 125. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/11)*v*v)**19*(v\/v**0)**(8\/3))**(4\/9))**(-3\/4) assuming v is positive.\nAnswer: v**(-1456\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 25. Let l = -16.8 - n. Put l, -0.3, -1 in decreasing order.\nAnswer: l, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (54\/(-12) + 5)\/(67*7). Let v = -5861\/1407 - k. Which is smaller: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 402\/8 - (-2)\/(-8). Suppose -13*c + 240 = -c. Calculate the highest common factor of c and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-4))**(7\/6) assuming j is positive.\nAnswer: j**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1690 (base 12) to base 5\nAnswer: -41300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9566 is divided by 1661?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 63.8?\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 70 + 478. Let w = z - -114. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 0, -14, -34, -60, -92, -130?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6322125)\/(-276) + (-12)\/(-16)?\nAnswer: 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1006 - -1010. Calculate the smallest common multiple of 30 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 10*s - 3*s**2 - 7*s + 2*s**2. Suppose -3*n = -3*v + 15, -2*v - n = n - 14. Let l = -2 + v. What is h(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -7*r - 570. Suppose -6*t = -t - r. Suppose -2*f + t = 4*a + 3*f, 0 = -5*a + 2*f + 96. What is the remainder when 69 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30938.07l in millilitres?\nAnswer: 30938070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 9:47 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-16 - 18) - (46 - 15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1468*h**2. Let n(t) = -4*t. Determine j(n(y)).\nAnswer: 23488*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from lrlrlrrcjrrjlrllj.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, s: 5, t: 7, m: 1, p: 5, o: 1}. What is prob of picking 1 q, 1 o, and 2 t?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81650056923247*g - 81650056923247*g - 6*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + 2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/5 + 456*i\/5 + 457\/5 = 0 for i.\nAnswer: -1, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, z: 1, p: 1, l: 1, s: 5, k: 1}. Give prob of sequence pk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 10 - 49 = 0. Suppose 0 = -5*a - 3*u + 10 + c, 5*a - 4*u = 16. Suppose 0 = s - a*s. Is 0 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + q**2 - 4*q + 3. Let u be x(2). Suppose u*d - 240000 = 2*d. What is d rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z + 220062 - 220063 + 61*z + 58*z.\nAnswer: 103*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -1 in decreasing order.\nAnswer: -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 1\/27 (b) -0.1 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00440813292 rounded to 7 dps?\nAnswer: 0.0044081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -34*c**5\/5 + 9*c**4\/2 + 7*c**2\/2 + 1565*c. What is the third derivative of f(n) wrt n?\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-75)\/6 - (-2)\/10 and (-1975)\/200 + 0\/(-2 + 4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-10))\/(8\/(-10)). Let s = -4.8 + -0.2. What is the nearest to 0 in b, s, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34139856617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 2. Let a be j(-1). What is a rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3138, 12878, 29094, 51792, 80978?\nAnswer: 116658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 28. Find the third derivative of 43*m**5 - 16*m**2 - 79*m**5 + a*m**5 wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = -17*z + 200. Let c = 60 + -22. Which is greater: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1079*k + 1079*k - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 2684382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33431\/219 + 1\/73. Let q = 152 - v. Sort 2\/3, -1, q, -2 in descending order.\nAnswer: 2\/3, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u - 4 = 0. Suppose o + 0*o - u = 0. Suppose 0 = -2*k + 8, -2*r - 2 = o*k - 30. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2103 + -2082.22. Let m = 12.47 - k. Round m to 1 dp.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-5 + 12 - 10). Suppose -12*w = -58 - q. Solve -w*b = 5 + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + d + 4*d = 36, 0 = 2*b + 2*d + 8. Let j be 1259292\/(-420) - (-2)\/(-5). Let u = j - -2991. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*k**2 + 0 + 5*k.\nAnswer: -k*(k - 30)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*o + 6, -5*m = 2*o + 3 + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008687847 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/2*(-216)\/15. Suppose -114 = 4*g + j, -4*g = g + 2*j + d. What is the units digit of 18\/4*g\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + 4. What is the least common multiple of s and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 8*r + 7. Let j be p(-6). Let h = j + -2. Let l = h - -10. Which is the closest to -2? (a) 5 (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = 2019 - 12903. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-four fifths of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ca1 - 48?\nAnswer: 1c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -316 - 1?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*c = -494, -c + 61 = 3*g + 426. Let j = -32 - g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -788098920 rounded to the nearest 1000000?\nAnswer: -788000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -37, -43, -49, -55?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let y(k) be the first derivative of -k**6\/180 + k**3 - 4. Let c(o) be the third derivative of y(o). What is s(c(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1000 = 2*i, 3*u = 6*i - 2*i + 600. Is u\/14 + 4\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240423?\nAnswer: 3, 80141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 192413*z**3 - 3 + z - 192442*z**3 to v + k*z**3 + m*z**2 + b*z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.392 times 0.6\nAnswer: 0.2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 - 16*y + 26. Let u be n(4). Solve -5*d + u*d + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k + 3. Let w(c) = 4*c - 2*c**3 + 2*c + 4*c**2 + k + c**3. Let v be ((-20)\/(-6))\/(2\/3). Give w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g + 7 - 671*g**2 + 674*g**2 - 3*g. Let s(i) = -5*i**2 - 11*i - 13. Give 6*s(r) + 11*y(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + m**3 + 4*m**3)*(2 - 2 + m)*(-4 - 5 + 2).\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/89360 and 8\/35?\nAnswer: 625520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/14546 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (sqrt(275) - (sqrt(275) - (2 + sqrt(275))))**2 + (1 + sqrt(275) + 1 - sqrt(275))**2 + -1.\nAnswer: 20*sqrt(11) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 9*l - 9. Let d be q(7). Let h be (-6 - -4) + 2*d*3. Let m = h - 11. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22*(-2541)\/66?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 12*q + 32. What is the units digit of t(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.93 - -0.963. Let x = j - 0.033. Which is the third biggest value? (a) -5 (b) 1.8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1168, -1318, -1468, -1618, -1768, -1918?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0604 + -398302.\nAnswer: -398301.9396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2276*n**2 + 1140*n**2 + 1134*n**2 + 18*n.\nAnswer: -2*n**2 + 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 1 - 1 + (73303*v + 59 + 73183*v - 146221*v)*(4 - 4 + v**2).\nAnswer: 267*v**3 + 59*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45201 + -45217. Let u(a) = -2*a - 66. What is u(r)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 33*k + 84 - 68 = 0, -2*x + 3*k + 16 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**2*y - 63*g**2 - g - 8599*y - 3 wrt y?\nAnswer: -g**2 - 8599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) -1 (c) -0.1 (d) -10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-6)\/504)\/((-3)\/(-7))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/44380931 and 55\/50721064?\nAnswer: 355047448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.54 - -0.04. Let u(c) = -4*c**3 - 23*c**2 - 22*c + 27. Let a be u(-4). Sort a, q, 4, -1\/8 in descending order.\nAnswer: 4, a, -1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 1\/12*x**5 + 0 + 0*x**4 + 1\/35*x**7 - x**2 + 0*x**3 + 0*x + 0*x**6. What is the third derivative of r(f) wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -42. Let p(j) = -23*j - 61*j + 15*j. Is p(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 744 = -3*n, 57 - 285 = -n + 5*r. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0336245594 rounded to five dps?\nAnswer: 0.03362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4270, 0, -4, -3, 4 in decreasing order.\nAnswer: 4270, 5, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + a + 91 = 0, 3*a - 29 = -4*c - 19*c + 25*c + 6 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 17312097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/14*(-280)\/100. Let a(w) = -5 + 2 - 3*w - 5 + 15*w**2. Let m be a(b). Calculate the highest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2562*s + 11247*s + 7516*s)*(-2*s + 3*s - 2*s) + (-2*s + 5*s - s)*(-3*s + 0*s + s) - s**2 - s**2 + 0*s**2.\nAnswer: -16207*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15763 (base 10) to base 13\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -142*o - 431. What is s(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*n - 75 = -6*n, 0 = -2*r + 2*n + 182. Let b = -87 + r. Suppose x = 5*s - b*s - 536, -s + 5*x + 88 = 0. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4156 or 4187?\nAnswer: 4156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1880393 greater than -1880322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -97, -173, -269, -379, -497, -617, -733?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(16\/(-90)) - (4 - 7). Suppose 4*s - 43 = 2*p - 145, -2*s = 4*p - 204. Let l = p - d. Calculate the least common multiple of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l + 4. Let c(u) = -2*u**3 + 4*u - 5. Suppose 2*d = 3*r - d - 15, 16 = 4*r - 2*d. Determine r*c(v) + 4*g(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + 412\/5. Suppose 3*x - x + s = 0. Let m = 69 + x. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*r - 45*r + 12*r - 44*r as c*r + k and give c.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1795 + -959?\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 5*o + 27. What is the remainder when a(6) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 9:43 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((354\/(-472))\/(2\/(-26)))\/((-6)\/(-48)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*d**2 + 58*d**2 + 13*d**2)*((3*d - 3*d - 2*d)*(-d - 6*d + 3*d) - 4*d**2 + 13*d**2 + 3*d**2) to y*d + s*d**4 + l*d**2 + k*d**3 + w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449333 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = y + 3*l, -13 = 7*y - 10*y + l. Solve y = 5*c + 4*h, -3*c + h = -4*h - 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from syyyyyyywzyyyzwy.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8480126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869274?\nAnswer: 2, 3, 7, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 17 = 11. Let c(w) = 2*w**3 - 4*w**2 - 4*w + 7. Let b(f) = -4*f**3 + 9*f**2 + 8*f - 15. Let r(u) = 4*b(u) + 9*c(u). Is r(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89 - 94 + 9*u**2 + 18*u**2 + (-4*u - 4*u - 7*u)*(u - 5*u + 8*u) to p*u**2 + n*u + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**7\/140 - p**6\/120 + p**3\/6 - 4*p. Let s(l) be the second derivative of c(l). Find the third derivative of s(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:55 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 38*z + 27. Let k(s) = -s**2 + s + 3. What is the remainder when y(12) is divided by k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 726009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 10*z**2 - 22*z - 1. Let u be i(12). Suppose -5*x + 78 - u = 0. What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + 1c3?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 18. Let c(p) = -1. Let a(g) = 18*c(g) - d(g). Let b(f) be the third derivative of f**4\/8 + 2*f**2. Determine b(a(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6. Which is the second biggest value? (a) 0.4 (b) 2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631196.4 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/228 and 49\/48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 270 (b) -0.4 (c) -1\/4 (d) 2 (e) 2\/215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18198940337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(54)\/sqrt(3)*-1 + 3 + 1 + sqrt(200))**2 + 1.\nAnswer: -455 - 224*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-42)\/(-8) - (-4)\/16. Let i be ((-1)\/3*-1)\/((-13)\/195). Let r be 1\/((i\/(-20))\/1). Sort j, 5, 15, r.\nAnswer: j, r, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -31.2. What is the third smallest value in -4, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18269, 18280, 18301, 18338, 18397, 18484?\n\"Answer: l**3 - l**2 + 7*l + 18262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-95)\/35 + 26\/(-91)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 3*a - 6. Let r(u) = -11*u**2 + 7*u**2 + 6*u**2 - 1 + 13*u + 6*u**2. Let x be r(-2). Give h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8) + 51 - 6.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17435?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1038 + -971. What is the remainder when 1604 is divided by x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2\/15*f**2 + 382\/15 - 76\/3*f = 0.\nAnswer: -191, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 282396 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 7*z + 12. Let u be d(-6). Calculate the greatest common divisor of u and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = 0. Let y = -15 + 15. Solve y*u + 3*u - 9 = z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4548 + -4244. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 + 272 - 66*q**2 - 272 + 18*q**2 + 27*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 3. Let b(d) = d**2 + d. Let n(h) = 8*h**2 + 5*h + 8. Let x(q) = w*n(q) - 5*b(q). Differentiate x(r) with respect to r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 43247526.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 221102121201210?\nAnswer: -221102121201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 315822.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67, 978, 3427, 8182, 16011, 27682, 43963, 65622?\n\"Answer: 128*l**3 + l**2 + 12*l - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 339*u - 334*u. Suppose u*k + 3 = -k, j - 30 = -4*k. Is -1511*1\/(-2) + (-21)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) 1\/8 (c) -1 (d) -5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 3\/2*f**2 + 6 - f. Give m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 5. Let z(h) = -h - 4. Let i be z(-6). Suppose n - i = 1. Let q(g) = -8 - 5*g**2 + g**2 - n. Determine 6*q(b) - 13*x(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 111347 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.154 and 5.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0322 and 2.\nAnswer: 0.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (-35 + (5 - -27) - 29)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1186904*g + 1186971*g - 335 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*a**2 - 326*a**2 - 16*a**2 + 26*a**2 to the form f*a + u + b*a**2 and give b.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*b - 30, 0 = 4*h - 5*b - 24 + 81. Let u be 34\/(-255)*(-2)\/(h\/(-222)). Is 8 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 3, f: 2, b: 12}. What is prob of picking 1 f and 1 u?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - -3. Suppose -192*m = 322*m - 98*m - 24960. What is the highest common factor of s and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5090397*-2.3\nAnswer: -11707913.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 - 259. Is 5 a factor of -2*((-24)\/3)\/(2\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**2 - 1432*i + 1428 = 0.\nAnswer: 1, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/8 + 23679*n + 6252345\/8 = 0. Calculate n.\nAnswer: -33, 189465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 591.4 times 0.409?\nAnswer: 241.8826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -2\/7, 16, -12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-954 - 823 - 15)*(0 + 0 - x)*(-2*x - x + 5*x) as z*x**2 + b*x + l and give z.\nAnswer: 3584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.55 + 0.15. What is the smallest value in w, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 49905 - 49905. Let y(z) = 101*z. Calculate y(x(f)).\nAnswer: -202*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -3\/2, -3, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 17248744*n + 17248742*n - 14.\nAnswer: -2*n - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**7\/1120 + 7*w**6\/960 + 3*w**5\/80 - w**4\/12 + 7*w**2 - 2*w + 43. Let m(v) be the third derivative of i(v). Factor m(p).\nAnswer: -3*(p - 3)*(3*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 14 + 8 - (-12 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 4) + 8 - -1) + (13 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(55)\/(sqrt(88)\/sqrt(8))*4)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 871022.6 to the nearest 100.\nAnswer: 871000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 0.09?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - 0) + (-34 - (-29 - (15 + -26)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 - 46 + 16)*(3*l + 4 - 4) + l + 2 - 2 + (l - 3*l + l)*(0 + 2 + 0) - l - 3*l + 3*l.\nAnswer: -266*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-9\/5)\/i)*i**(-3\/11) assuming i is positive.\nAnswer: i**(194\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1091009 (c) 0.4 (d) -20\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-2*1 - (((sqrt(432) - -1*sqrt(432))*-6 - sqrt(432) - sqrt(432)) + sqrt(432)))**2.\nAnswer: 52272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 21*s + 8. Let o be p(12). Suppose -13090 = -o*n + 250*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 54, 0, 0.4, -137?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -43. Let x(o) = 3*o + o - 4*o + 120 - 2*o. Let v be x(w). Calculate the highest common factor of v and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 56 + 16. Let s be (2\/(-3))\/((-1)\/u). Let h = s + -4. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:04 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15744.35 weeks in nanoseconds?\nAnswer: 9522182880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 69 and 18476.\nAnswer: 18545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*(0*14\/(-140))\/(1\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.1268 - 0.1572. Let i = n + 5.2. Let c = i - 8.316. What is c rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -223, -444, -665, -886?\n\"Answer: -221*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 6*k - 3. Let h be m(3). Let j be (-20)\/30 + 16\/h. Solve 0 = 3*c + j + 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -12. Let a be (5\/(-2))\/(25\/(-20)). Let k(v) = -v - 14. Let q(c) = a*k(c) - 3*b(c). Determine q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 120*c**2 - 2*c. Let m(q) = 12*q - 881 + 1763 - 7*q - 882. Calculate m(b(u)).\nAnswer: 600*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 564720734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 3:59 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 29 - 1894*o - 2*o**2 - 3 - 14 in the form k*o + r*o**2 + j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 - -106. Let b = r - 16. Suppose c = -3*h + 2*h + b, -2*h - 5*c = -15. Calculate the least common multiple of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -442 + -3?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*a + 27 = -3*a, -5*n + 5*a + 35 = 0. Suppose n*t - 18 = 14. Calculate the remainder when 27 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104313 (base 5) in base 6?\nAnswer: 425502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*n - 6 + 21*n**2 - 4*n**3 - 25*n**2 - 82*n.\nAnswer: -4*n**3 - 4*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 5*p - 1, -20 = -5*u. What is the remainder when 89*(-3)\/(-1*(4 + p)) is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.48 - -17.98. Suppose h - 8 + 1 = 2*g, 5*g + 4 = -2*h. Suppose 0*s - 21 = -h*s. Which is the fourth biggest value? (a) 2\/3 (b) 0.1 (c) t (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:26 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 2 - 2 + (2*k + 3 - 3)*(0 + 5 - 3) - k + 3*k + k)*(-9*k**3 + 4*k**3 + k**3) to the form p*k**3 + z*k**2 + w + f*k**4 + t*k and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*f - 9*o + 4*o + 587 - 5958 = -0*o - 137, -4*f = o - 30 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2786, -11100, -24950, -44330, -69234, -99656, -135590, -177030?\n\"Answer: m**3 - 2774*m**2 + m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, n: 1, f: 11, z: 3}. Give prob of sequence ss.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnqnqnqnnqq. Give prob of picking 2 q and 2 n.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) 1\/3 (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500000387 to the power of 1\/2, to the nearest integer?\nAnswer: 38730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3020234 (base 5) in base 7?\nAnswer: -260336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1)**2 + 0 + sqrt(108) + -6*(sqrt(108) + 1) - -4*(1*sqrt(108))**2*-4.\nAnswer: -1626 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 189 + u**2 + 190 to n*u**2 + y*u + l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1019160340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6)*(1274\/147 - 9).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*j + 81, 8*j + 5 = 3*j. Let k = c - 76. Solve -k*h - 10 = -2*h + 2*s, -5*h - 5*s = 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 5*p**3 + 2*p**3)*(117*p - 134 + 134).\nAnswer: 117*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 2*s - 6. Let l be n(-9). Suppose -3*r - 5*f = -f + l, -3 = f. What is the units digit of (-2)\/(-6) + r\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, -1225, -2 in decreasing order.\nAnswer: 76, -2, -1225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648)\/(sqrt(48)\/(sqrt(36)\/sqrt(9))))\/(sqrt(75)*-2 - sqrt(243)*6).\nAnswer: -3*sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*v + 784, -5*v + 64 + 520 = 3*b. Let m = 16 + -28. Let d = m - -30. Calculate the greatest common factor of d and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 11:30 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40993\/8 - 5136. Calculate the common denominator of r and -25\/1936.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2164 - 2?\nAnswer: -2166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**3\/6 - h. Let f(r) = 1874*r**2 + 23*r**2 - 1851*r**2. What is i(f(b))?\nAnswer: -46*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3711*a - 3716*a - 35 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/6440 and 83\/7372596?\nAnswer: 1695697080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 3*w**2 + w - 1. Let r be z(2). List the prime factors of r\/(-9) - 28\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1531 + -1520. Solve 7*c - z = 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 s when three letters picked without replacement from {s: 1, t: 2, r: 1, p: 1, v: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -9*v + 105. Calculate the remainder when v is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + r**3 - 5 + 0*r + 9*r**2 - 4. Let w be u(-9). Suppose -5*d + 39 = a + 3*a, 2*d - a - 13 = w. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105110.\nAnswer: 2, 5, 23, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let m(b) = -37776164*b. Calculate m(f(w)).\nAnswer: 75552328*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 411894746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 2. Determine d(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 67*d + 367. Let g be u(-6). Let r(n) = 1. Let t(q) = 14*q + 2. Let j(b) = 3*r(b) - t(b). Determine j(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7219, -17913, -28607, -39301?\nAnswer: -49995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 630869.8mg?\nAnswer: 0.0006308698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 + 5 - 5*c**3 - 5 + 24*c**2 + 3*c**3.\nAnswer: -2*c**3 + 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*x - 9 = 1, 0 = -a - 3*x + 4. Let h be ((-2)\/(-4))\/(2\/(-12)). Is 0 + h - 1648\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186843850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 275*z + 12247. What is b(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44964 - 31886. Let x = 25040 - b. Let u = x + -7635. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -5*k + 352. Suppose -4*r + 168 + k = 0. What is the greatest common factor of r and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -12*v**2 + 2 - 4*v**3 + 0 + 1 + v + 2*v**3. Let k be r(-6). Let o be -3*(0 + 2\/k). Solve 0 = -y - o*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77890 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q**8*q*q)\/q))**36\/(q\/(((q\/(q*q\/(q*q**(-5)*q)))\/q)\/q))**(-39) assuming q is positive.\nAnswer: q**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 3*o. Let x(a) be the first derivative of 2 + 4\/3*a**3 - 5*a**2 + 0*a. Give -10*b(c) - 3*x(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 336 + -3?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 + 2 = -5*x, 3*c = -4*x - 6. Let r(i) = 2*i**2 - 4*i. Let f be r(3). Let s be (-11)\/(-7) - (7 - f). Is x less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4157.\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 7, d: 5, k: 5, a: 1}. Give prob of sequence da.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2.11301.\nAnswer: 10.56505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.5057 rounded to 1 decimal place?\nAnswer: -19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537376529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -82*g + 5. Let o(m) = -82*m + 6. Let h(b) = 6*o(b) - 7*u(b). Suppose 18*j - 23*j + 5 = 0. Is h(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1003*j + 805*j - 237*j + 157*j to the form n*j + b and give n.\nAnswer: 1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 267, 1, 1609 in ascending order.\nAnswer: 1, 267, 1609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -476, -962, -1448, -1934, -2420?\n\"Answer: -486*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/40*(-20)\/6. Let m be (-1)\/s - (-25)\/6. Solve -m*t = -6*l + 4*l + 18, -l = -5*t - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.67, -0.4, -1 in decreasing order.\nAnswer: 0.67, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*b + 11, -58*h + 62*h - 31 = -3*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*1*(-24)\/(-18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = -110*s + 311648 + 74947. Which is greater: s or 3194?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005146477 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 9*b**2 + b - 4. Let o be y(6). What are the prime factors of (-328)\/(-11) + 20\/o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 2*w - 2. Let c be a(1). Which is smaller: 2\/31 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.1576?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**3 + 7891254*z**2 - 258817514*z wrt z.\nAnswer: -6*z + 15782508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 969 and 627?\nAnswer: 10659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485 = -89*r + 494 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 1. Calculate the remainder when 113 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*o + 5 - 982*o**2 + 179*o**2 - 87*o**2.\nAnswer: -890*o**2 + 116*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*f - 8, -5*f - 3*v = -v - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 8:18 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3\/4 + 58*z**2 + 3584*z + 25088 = 0?\nAnswer: -112, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*d - 155 = 246*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*n)*(0 - 5 + 3)*(-197 + 64 + 82)*(n - 2*n**3 - n) as g*n**4 + f*n + t*n**2 + l + k*n**3 and give g.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 55. Calculate the least common multiple of 6 and 14 - (3\/(-3) + h).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 29*z**2 + 83*z - 12. Determine a(-25).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52289568 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 38. Let a(x) = 17*x - 121. Let c be a(21). Suppose c = w + 103. Calculate the remainder when w is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -18*g**2 - 1909*g - 104. Let j be i(-106). Suppose -6 = 4*l + 6. Let f(r) = r**2 + 1. Let d be f(l). Solve -j*t = 3*t + d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 4*c**2 + 21*c - 4. Give d(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 10 + (-19 - (-14 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9.932 or 133\/24?\nAnswer: 9.932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*d + 138 + 86 = 101*d - 5*z, 3*d - 177 = 6*z for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*a - 4 + a**4 + 3 - 14*a - 3*a**4 + a**3 as r + p*a**3 + l*a**4 + v*a + q*a**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/2 + 3*n**2 - 5*n\/2 = 0. Calculate n.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1901 + 242 + 4*v**3 - 399 + 228*v - 51*v**2 + 51*v**2 wrt v?\nAnswer: 12*v**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 2436?\nAnswer: -2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 4*a)*(-108 + 108 + 1591*a**2 - 440*a**2).\nAnswer: -2302*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 63. Let l(y) = -2*y. Give l(b(t)).\nAnswer: 4*t**2 - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -25. Let y(o) = -o**3 - 4*o**2 - o - 3. Suppose -5*d = -3*d + 8. What is the smallest common multiple of u and y(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3063*h**2*o**3 - 4097*h**2*o**2 - 3*h**2*o + 2*h*o**3 - h*o**2 + 23*h*o - 54*o**3 wrt o?\nAnswer: 18378*h**2 + 12*h - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Let k(y) = -3*y + 6. What is 3*k(v) - 3*p(v)?\nAnswer: -12*v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = 5*o - 91. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 928, 1845, 2762, 3679, 4596, 5513?\n\"Answer: 917*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 49. Suppose -162 = w*r - 17*r. Calculate the common denominator of 103\/12 and (r\/3)\/3*99\/(-220).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*u - 2*y = -12, 0 = 4*u - 3*y + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(80)\/sqrt(5)*2 - 2*sqrt(48)\/sqrt(3))\/(sqrt(48)\/(4*sqrt(24)))*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 353*k**2 + 871*k - 4263. Calculate a(-179).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134.91 - -134. Let l = -1.73 + 2.5. Let n = t + l. What is the closest to -1\/3 in -0.5, n, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -30*r - 239. Let u be i(-8). Solve -n + 2*s = -u, -n - 4*s = -0*n + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 4*j + 1. Calculate m(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 68431*y + 2737240. Give x(-40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13750655, -27501313, -41251971, -55002629, -68753287, -82503945?\nAnswer: -96254603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/((-170)\/765) + 15. Solve 17*v + l = 13*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -65, -131, -223, -341, -485, -655?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6272 and 1960.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10*-4.5512\nAnswer: -45.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 0.3, 2, -1, -3\/5 in decreasing order.\nAnswer: 67, 2, 0.3, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 493.26 (b) 1\/5 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1112062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, a: 5, x: 3, t: 1}. What is prob of sequence xxxt?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7037 - 6*z**3 + 21139 - 7051 - 7051 - 7*z**3.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**0))\/t)**(-14)\/(t**(2\/7)\/(t*t*t**(2\/3)*t))*(t**(-2\/9))**(10\/11)\/(t*t**(-1\/4)*t)**(-18) assuming t is positive.\nAnswer: t**(67469\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from mpm.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 238, 598, 1216, 2158, 3490, 5278?\nAnswer: 7588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggq when three letters picked without replacement from {g: 9, q: 11}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 34, 6 in descending order.\nAnswer: 34, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -125*c + 160. Suppose -5*a + 3*a + 2*s = 4, 3*a + 5*s = 26. Let b(r) = 63*r - 79. Let k(q) = a*v(q) + 5*b(q). Differentiate k(m) wrt m.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 x when three letters picked without replacement from eeeexxxoxoxxoxxeee.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 112023 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -282 + 283. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/((-10)\/(-8)*1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/3*(-405)\/(-10). Let c = g - -528. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-222)\/(-18) + -3)*(3 - 9\/2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**2 + 9921*j - 78735. Give l(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53043313 (base 6) in base 10?\nAnswer: -1545597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z - 342 = 53 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 8. Is k(-7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79413969407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwj when three letters picked without replacement from {w: 1, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*r*t**4 + 11747*a**3*r*t - 18*a**3*r + 17*a**2 - 5*a*r with respect to t.\nAnswer: 8*a**3*r*t**3 + 11747*a**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1328 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*p - 36. Sort 3\/11, p, -2\/5 in decreasing order.\nAnswer: p, 3\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1251*q + 2612. Calculate l(2).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j**(16\/9)*j)*j)\/j)\/j*j*j**11\/j)\/(j**(-1\/24)\/j**(2\/15)))**49 assuming j is positive.\nAnswer: j**(165767\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 113, 6, -9, 4, 3 in increasing order.\nAnswer: -9, -8, 3, 4, 6, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17867797.29us?\nAnswer: 0.000029543315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122344223 (base 5) to base 13.\nAnswer: 178a5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3804*p - 68*p**2 + 20*p**2 + 25*p**2 + 22*p**2 to q + m*p + t*p**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*t = 2*o - 8, 3*t + 9 = 3*o. Let f = o + -3. Let h be f\/12 - (-258)\/36. Solve 1 = -2*c + 2*v + h, -2*v - 3 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 56229*p - 174416580.\nAnswer: -3*(p + 3923)*(p + 14820)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 84. Suppose -3*z + 3*h + 12 = -9, 4*h = n. Calculate the remainder when 55 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 371224662 divided by 2\nAnswer: 185612331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r**2 - r + 2*r**3 - 86584*r**4 + 86586*r**4 + 110 - 28 in the form o*r**3 + m*r**4 + v*r + c + b*r**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000319 to five decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 69\/21 - (-12)\/(-42). Let l be (-4)\/r - 13\/(-3). Suppose -l*z + 622 = -2*k - 1135, 2*z = -k + 1176. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 3. Let j be p(-5). Suppose -j*a + 3 = 11. Calculate the remainder when 34 is divided by (-50)\/a - 2\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8 = -4*p, -4*p + 9*k - 188 = -206 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 (base 16) in base 14?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 802, 1609, 2416, 3223?\nAnswer: 4030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 38*q - 1387. Give v(-66).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5903 - -5908. Let h(c) = c**3 - 4*c**2 - 5*c - 3. Let n be h(5). Sort -0.3, z, -2\/11, n.\nAnswer: n, -0.3, -2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792065*x**2 - 792065*x**2 - 434*x**3.\nAnswer: -434*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let o(m) = m**2 + 5*m - 4. Let a be o(-4). Let l be (-6)\/a + 27\/(-36). Are l and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264542011?\nAnswer: 983, 269117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 857285 divided by -1573.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176420000 rounded to the nearest one million?\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11437267 is divided by 91?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284 - 290. Let g be (-154)\/(-21) + l - 14. What is the third biggest value in 3, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + 0. Let h(y) = -y**2 + 7*y + 41. Calculate the remainder when v is divided by h(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggtggtggg. What is prob of picking 3 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -5*c**7\/7 - 2*c**3\/3 - 11*c**2 - 40. Find the third derivative of z(j) wrt j.\nAnswer: -600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**3 + 4*v**2 - 4. Let x be s(-2). Let h = 80 - x. Suppose -h*j + 321 = -w, -5*j + 0*w = -3*w - 410. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 5:17 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**4\/4 - 197*q**2\/2 - 1271*q - 133. What is the derivative of a(y) wrt y?\nAnswer: -3*y**2 - 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 10 - (-884395)\/35405.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.884\nAnswer: -0.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 16. Let i be d(0). Let n be -1 + 1\/(i\/(-20)). Which is the nearest to n? (a) -0.1 (b) -0.01 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 120*v**3 + 7*v**2 - 25*v - 24. Let n(h) = 37*h**3 + 2*h**2 - 8*h - 8. Give 4*c(b) - 13*n(b).\nAnswer: -b**3 + 2*b**2 + 4*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1818 = 3*l + q, -2*l + q = -1200. Let v = -1853\/3 + l. Find the common denominator of -37\/3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225123.\nAnswer: 3, 75041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2\/5*i**4 + 28\/5 - 6*i - 26\/5*i**2 + 6*i**3 = 0.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1466? (a) -0.3 (b) 0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 11*p**3 + p**2 - 2*p + 1. Let s be j(3). Suppose -3*c + 5*z + 151 + s = 0, 2*z = -c + 147. Suppose -9*o + c = -427. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 4. Let t be a(-3). Suppose q - 431 = -5*v, 3*v + 2*v - t*q = 443. Let d = -52 + v. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*n = -24, -75*x - 4*n = -76*x - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/18, 4\/7, -22.67?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012 - 10?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 = 9. Let s(y) = -y**3 - 1 + 2*y**u - 3*y**2 + 6*y**3 + y**2 + 2*y. Let c = 0 + 1. What is s(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {i: 1, k: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3554.99997083 + -3555. What is u rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/291, -2, 24029 in decreasing order.\nAnswer: 24029, 2\/291, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 514 and 12079.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 - 280. Let n = t + 145. Which is the nearest to -0.2? (a) -0.3 (b) 2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**7\/504 - 7*q**4\/3 - 10*q - 3. Let y(w) be the third derivative of c(w). Let a(f) = 7*f. Determine a(y(x)).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 10) in base 2?\nAnswer: -10010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/8)*s**(-2\/5))\/(s*s**(-3\/2)*s**(-4\/3)) assuming s is positive.\nAnswer: s**(187\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -155198*f - 2345637?\nAnswer: -155198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172291.\nAnswer: 7, 151, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26721773009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 153166, 153141, 153114, 153085, 153054, 153021?\n\"Answer: -l**2 - 22*l + 153189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 128429*k**3 - 63960*k**3 + 2 - 64465*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 3960 = b. Suppose 3*w + 4*g = b, 2*w + 5*g + 40 - 253 = 0. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/30 - 2*g**2. Let l(v) = 706 - 706 + 11*v. What is n(l(j))?\nAnswer: -242*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/(3\/(-90)*-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9199 - 0.0801. Let q = 0.2 + -0.29. Let k = -0.21 + q. What is the closest to k in 3\/4, f, 5\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-10 - (-2 - 45)) - (4 - 8 - 7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 555 = 4*c, -19*n + 23*n = -2*c + 418. Let h(i) = -i**3 - 12*i**2 + 17*i - 46. Let b be h(-14). Is n bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*h + 73 = -222, -295 = -u - 3*h. Does 59 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*1*sqrt(204))\/(sqrt(96)\/(sqrt(200)*-1 - sqrt(8))).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 2*y - 2. Let a be m(-4). Let k(t) = -t**3 + 7*t**2 - 3*t - 7. What is the tens digit of k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-984015)\/(-70374) - (-1 + 15) and -31\/22.\nAnswer: 6974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-2)\/16). Let h = -3.2 + 0.2. Let u = h + 3.1. What is the closest to u in 3, s, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -47 + 51 - 2*q + 2*q**2 - 2*q + q**3. Let k be o(-3). What is the remainder when 6 is divided by k\/35 + (-14)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.098, 1\/6, -4, -2\/103, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 50. Let c be u(-12). What is the biggest value in c, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -5, -24, -43?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 24*p + 75. What is the remainder when 242 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i + 17. Let z(a) = 1458*a - 698*a - 762*a - 6. Determine -2*l(u) - 7*z(u).\nAnswer: 2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 37. Let l be f(7). Let x(t) = t + 4. Let i be x(-3). Let c be (i - 2 - l) + 4. Round c to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 5. What is the smallest common multiple of k(5) and ((-8)\/3)\/((-1)\/3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 54 = 8. Calculate the remainder when (-4 - -3)*1*v is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110620*h**3 + 110624*h**3 + 1264418*h**2 - 1264418*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 4*j + 0*j. Let c(g) = -5*g**2 + 20 - 20. Give a(c(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 27 = 13. Let o = -903 - -907. Let t(i) = 2*i**2 + 76*i - 326. Calculate the smallest common multiple of x and t(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 243 + 976 - 250 + 2*h + 2*h + 61 as s*h + v and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = -8*r. Let s(x) = -35 + 2*x + x**3 - 23*x**2 - 29 + 23. Let l be s(23). Sort r, l, 3 in decreasing order.\nAnswer: l, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06493 + -1.04507. Do -0.2 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 - (4 - 1) - 5. Solve 0 = l*n + n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**5 + 8266179*h**3 - 112642859*h wrt h?\nAnswer: 80*h**3 + 49597074*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - w + 185046 + 230323, 3*g - 415370 = -2*w. Suppose 3*d - 55550 = -2*n + g, -484990 = -5*n + 5*d. Round n to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -44 in decreasing order.\nAnswer: 4, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peeeep. Give prob of sequence pepe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34214 - 3493971.\nAnswer: -3493971.34214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*s = -61, 0 = -2*g + 4*s - 24 - 32. Let f = g - -18. What is z in 0*z - 2\/5*z**3 - 2\/5*z**4 + 0 + f*z**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-294)\/96)\/(-7))\/((-16)\/((-3712)\/174)).\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 311, 313, 309, 293, 259?\n\"Answer: -s**3 + 3*s**2 + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, -3\/2, 3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 3*g = -6*d + d + 1, 25 = 2*d + 2*d - 11*g + 144 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 6*p - 11*p**2)*(1 - 1 - 2*p) + p**2 - p**3 - p**2 + 108 - 152*p**3 - 45 + 153*p**3.\nAnswer: 22*p**3 + 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 343\/1712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 - 5039*n**3 - n + 13173*n**3 + 10664*n**3.\nAnswer: 18798*n**3 - 8*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 9:07 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let l = -2026 - -2026. Let g(s) be the third derivative of 5*s**2 + l*s + 1\/8*s**4 + 0*s**3 + 0. Give m(g(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -149 - 8854?\nAnswer: -89a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -23. Let k be (1 - -3)\/(1*2). Calculate the least common multiple of h and (-2)\/8*k*-20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/12)\/(1\/(-6)). Let l(a) be the first derivative of a**4\/4 + 2*a**3 - 5*a**2 - 17*a + 9. Let i be l(-7). What is the nearest to -0.1 in 0.5, v, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*b**4 + 28*b**4 - 27*b**4 + 113*b**4 + (3*b - b - b)*(-4*b + 4*b + 3*b**3).\nAnswer: 137*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (70\/(-4) - 6) + 7. Does -16 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-2) + -7*4\/(-56)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, 1 n, and 1 j when four letters picked without replacement from jnnrlsx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*o + 47 + 3, 3*v - 4*o = -95. Let i = v + 35. What is the remainder when 17 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -274 at most as big as -274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20343102 (base 5) to base 13.\nAnswer: 5b928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 13104190 = -2283072. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -1 (c) 5\/13 (d) 10.03 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = 3. Suppose -3*k + 9 = p, -k - p - 3 = -u. Suppose 4 = k*y - 12. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, 1 i, and 1 p when four letters picked without replacement from piysx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60)*-6 - sqrt(360)\/(sqrt(6)*1))\/(sqrt(120)\/((-2*sqrt(50))\/sqrt(5))).\nAnswer: 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7940*n + 252172 - 270452 = 32945*n + 1056935 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 15 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1240*-7.\nAnswer: 8680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 + (-2)\/(-6). Let f(y) = -s - 2*y + 0*y + 3*y. Let g(r) = r**2 - r + 2. Let m(j) = -4*f(j) - 2*g(j). Factor m(z).\nAnswer: -2*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**19*r**(-20) assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x**(-1))**39 assuming x is positive.\nAnswer: x**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 106357 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/4 at least as big as -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 4*j - 255. Suppose 0*n + j = c + n, -4*n + 16 = 0. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6008.18 decades?\nAnswer: 60081.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssffssssfs. Give prob of picking 2 f and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l + 5*l - 10*l - 4*l. Let r(m) be the first derivative of 0*m - 8\/3*m**3 + 0*m**2 + 3. Give r(j(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b, 9*y + 2 = 13*y - 5*b. Solve 5*m + 3 + 5 = 3*t, 0 = y*m + 5*t - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 13013?\nAnswer: -13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 236 (c) -0.4 (d) -37 (e) -7 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 30316814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 3906250?\nAnswer: 35156250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + (2 + sqrt(75))**2 + 3.\nAnswer: 20*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 8088.\nAnswer: 64704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.11 and -30297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 0 - 2*u**2 + 3*u + 1\/2*u**3. Let q(k) = 4*k - 5. What is 6*l(r) - 5*q(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*u - 8*u + 3*u)*(-u + 0*u + 0*u)*(4 - 3 + 0) to b*u + k + p*u**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 142319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - 2)*27\/18. Let y(p) = 12*p**2 - f + 35*p + 0*p**2 + p**3 - 1 + 8*p**2. Let o be y(-18). Solve t - o = 0, 2*s + 4*t - 4 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 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 o(l) = 19*l + 0*l - l**2 - 14 - 6*l + 5. Let q be o(16). What is the tens digit of 4\/(-6) - 2888\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467205?\nAnswer: 3, 5, 31147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 9*t**2 - 2*t - 11. Let l be c(-9). Let m(h) = h**3 - 6*h**2 + h + 2. Let x be m(6). Does x = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116270783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.017 - -53.017. Let m = -58 + g. Which is the closest to -4? (a) 0.5 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6440, 6477, 6514, 6551, 6588?\n\"Answer: 37*r + 6403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/(4\/((-32)\/(-120)))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1101 from -2059.\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -56.3 and -10.736.\nAnswer: -67.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -422*j - 563, 0 = -5*k + 6*k + j - 46 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**5\/20 - 7*n**4\/12 + n**3\/6 + 11*n**2\/2 - 33*n. Let q be j(-7). Put q, -10, 1 in ascending order.\nAnswer: -10, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*a*z**4 + 2*a*z**2 - 2445*a - 17*z**4 with respect to z.\nAnswer: -88*a*z**3 + 4*a*z - 68*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127.3 + -4.3. Let h = -274 + x. Let q = -146 - h. Sort 0, q, -3\/2, -0.5 in decreasing order.\nAnswer: q, 0, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-9))**1)**(-25) assuming l is positive.\nAnswer: l**225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4\/56 - (-885475)\/350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9754.0903 rounded to the nearest ten?\nAnswer: -9750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2539.54*0.3\nAnswer: -761.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(2\/45)*v*v*v*v**14\/v*v**(-1\/2)\/v**8 assuming v is positive.\nAnswer: v**(761\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**2. Let m(q) be the third derivative of -q**5\/60 - q**2 + 12. Give l(m(k)).\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*m + 11, 9*m - 9 = 10*m - 4*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 31551*n + 27228520. Give w(-863).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -3019?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*(s\/s**(-5))\/s)\/s*s)\/(s\/(s*s**(-4\/5)*s)))\/(((s*s**1)\/s)\/s**(1\/13)))**(2\/115))**(-39) assuming s is positive.\nAnswer: s**(-2058\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-6)*2 + 6. What is the tens digit of (24 - 1) + (m - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42584\/15 - -14198\/5. Suppose n - 51 = 3*j + 4*n, 0 = -4*j - 5*n - 70. What is the second smallest value in c, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -6, 1.19, -39.9?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.2 * -59.68732.\nAnswer: 907.247264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.6382 to 2 dps.\nAnswer: -5.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 33*p - 30*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2310*y - 11593. Let u be l(-7). Calculate the highest common divisor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-111)\/15 + 133\/19 + 22\/5. Solve 0*i + 4*i - 2 = -2*w, 3*w - 1 = -b*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*r - 2)*(-r - r + r)*(0*r**2 + 0*r**2 - 4*r**3) + 2*r**5 - 2*r**5 + 2*r**5.\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 47958 - 47919 = -3*n, -4*n = 8*t + 56 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*f = -40, -5*c + 7*f - 9*f - 107 = 0. Let m be c*4\/(-24) + (-3)\/2. Solve 0 = 3*o - 3, 3*a - o + 9 = m*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 7 = 3*v, 0 = k + 1. Suppose -13*t - g - 818 = -16*t, 0 = 3*t - v*g - 822. Is 34 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w, -4*s = -0*s + 4*w - 48. Let j be (-493107)\/4 - 3\/s. Let f = j + -49723. Round f to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 3, -2, -0.11, 0.005, -4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 4. Let b be m(-4). What is the greatest common factor of 44 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447190087 to the power of 1\/3, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165\/8, -1\/2, -4, -1, 1\/1609 in decreasing order.\nAnswer: 165\/8, 1\/1609, -1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8332 + 2737 = 67*j + 113*j + 989 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**20)**33)**(-4) assuming d is positive.\nAnswer: d**(-2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 - 15007*a**4 + 2*a**3 - 1567471*a**2 wrt a.\nAnswer: 120*a**2 - 360168*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2 + 9*v + 10. Let q be j(-1). Suppose 5*b - 20 = -0*b. Sort q, 2, b, -4.\nAnswer: -4, q, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p. Let u(z) = -77*z + 77*z - z**2. Determine u(c(g)).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*t + 2*t + 11, 2*o = -5*t + 22. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 3*o**2 + 4*o - 2. Let b be u(2). What is the third derivative of b*n**6 - 9*n**2 - 8*n**6 + 0*n**2 + 2*n**6 wrt n?\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*h + 86, 0 = -3*i + 4*i - 5*h - 34. What is the remainder when 181 is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/300 and 31\/400?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 39. Suppose -a*f + 64 = -l, -2*f = -3*l - 54 + 16. Let p = f - 10. Solve p = 2*q + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -730332 and -6910.9807.\nAnswer: -737242.9807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 16*v + 32. Let h be a(14). Let j be 2 + (5 - (-3 + h)). Solve t = j*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*(1*sqrt(343) + -4) + (sqrt(252)\/(-1*sqrt(9)) - sqrt(28))\/(sqrt(196) - -2*sqrt(196) - sqrt(196))))**2.\nAnswer: -9840*sqrt(7)\/7 + 63316\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:49 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkky. What is prob of sequence kk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - l - 2. Suppose 0 = 8*x - 4*x - 160. Let a = x - 5. What is the remainder when a is divided by q(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1561520 and 14.\nAnswer: 10930640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51345030 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 260562 less than 521125\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a micrometer in nanometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-9) - 1)*96\/(-16). Let m be (3\/d)\/((-30)\/(-80)). Suppose -o = -5*o - 4*t + 40, 49 = 5*o + 4*t. Solve -r + o = -m*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1740940 divided by -610\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10 + c**3 + c - 9*c**2 - 3*c + c. Let r be x(9). Suppose -5*b = -4*b. Is r at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -957, -1898, -2823, -3726, -4601, -5442?\nAnswer: -6243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -f828 (base 16) to base 5\nAnswer: -4013103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 25\/81 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*g**3 + 9381*g**2 - 95*g**3 - 9435*g**2.\nAnswer: 3*g**3 - 54*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -781 divided by -2.\nAnswer: 781\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 20, -13*b + 28 = -10*b + 5*l. Solve -b = x + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -936.4 + 971.37. What is d rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 54. Let g be 7\/28*0\/1. Let s(c) = g*c + 0 - 6 + 2*c + 6. Calculate s(w(v)).\nAnswer: -4*v + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 280485461921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28c0 - -32a8?\nAnswer: 7c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose -107 = 81*c - 322 - 190. Suppose 4*d = 2*d + 40. Solve 2*r + h*b - d = 0, b + 6 = c*r - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-6) + (-6)\/9. Suppose -460 = -3*d - d + 2*i, -2*d + 2*i = -234. Suppose d = 5*b - r*l - 59, 2*l - 152 = -5*b. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 868 - 868 + 6320*z.\nAnswer: 6320*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -45*j - 36. Let l = 369 + -215. Let b be ((2\/(-3))\/2)\/(l\/462). Let r(d) = -d - 1. Calculate b*n(u) + 36*r(u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*a**2 - 362*a**2 + 474*a**2 - 2*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/10*n**3 - 9\/10*n + 1\/2 + 3\/10*n**2.\nAnswer: (n - 1)**2*(n + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2 - 293904072*q + 10797450442272648 = 0. Calculate q.\nAnswer: 73476018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*b = 18, 7*b = 3*j + 10*b + 21 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 5) in base 9?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 3065.\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 9 = -4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08331*-0.445.\nAnswer: 0.03707295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*z = -5838, -3*t + 5*z + 3714 - 206 = 0. Suppose -12*p + 10*p + t = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*i - 3*a - 115, 7329*i - 7324*i - 4*a - 45 = 0 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/35073864 and 67\/1461411?\nAnswer: 35073864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 + 2?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-14)*(-90)\/(-75)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + 0*k)*(-16 + 56 - 21 - 39).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882 and 63.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 6*x**2 + 1365*x - x**4 - 2815*x + 1448*x in the form c*x**2 + i*x**3 + b + f*x**4 + j*x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2482.521 weeks to hours.\nAnswer: 417063.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80314 is divided by 117?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71712 and 83322.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - i + 1. Let y(b) = -114*b**2 + 3*b + 7. Let v(w) = -6*q(w) + y(w). Find the second derivative of v(l) wrt l.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14280?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6377.8 - -6377.73. Let y = 431\/13 - 33. Which is the third biggest value? (a) p (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 868*l + 6943. Give s(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001*q + 949*q - 2236*q + 165*q.\nAnswer: -121*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*u - 9*u**2 + 3*u - 4*u + 0*u - 137 + 352 wrt u.\nAnswer: -18*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 5 (c) 17 (d) 7 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 - 27. Let w(q) = 20*q**2 + 76*q + 4. Let h be w(-4). Calculate the highest common divisor of j and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in 4\/5, -14, 1\/1317?\nAnswer: 1\/1317","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 + -5 + 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -297497, -297498, -297499, -297500?\n\"Answer: -v - 297496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 29*r - 34. Let l be i(-13). Suppose -7*y = -9*y - t + 5, -t = l*y - 8. Solve 0 = -3*b - 0*b - u - y, 4*b + 2*u + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (232 - 225) + (0 - 8) - -17.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 256685, -2, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -5*h**4\/12 - 11*h**2\/2 + 6*h. What is the first derivative of a(w) wrt w?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2698712995 to the nearest integer?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77.66 + 76.66. Let r = -5 + 5.2. Which is the nearest to g? (a) -2\/23 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 7*d**2 - 14*d - 9. Let o(b) = -b**3 - 6*b**2 - 15*b - 9. Let m(f) = -3*o(f) + 2*v(f). Is m(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3520*c**2 + 1702*c**2 + 1794*c**2.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211 - -214?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 272085.7 rounded to the nearest 1000?\nAnswer: 272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) - sqrt(120)\/sqrt(2)) + sqrt(60))\/sqrt(4))\/sqrt(108).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0)\/(-4 + 2). Let h = 3 - l. Suppose 3*c + 62 = 5*x, -24 = -4*x - c - h*c. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0*w**6 - 19\/60*w**5 + 0*w**3 + 0 - 15*w**2 + 0*w**4 + 1\/21*w**7 + 0*w. What is the third derivative of d(l) wrt l?\nAnswer: 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2354657 or -2354666?\nAnswer: -2354666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f - 5*i + 1109, -5*f + 1375 = 4*i. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 329?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 5*d - 448, 645*g + 643*g - 3*d = 1291*g + 258 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 14*o + 30. Suppose 132 = -9*m + o*m. Calculate the highest common factor of m and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.147659 years?\nAnswer: 0.02147659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5 - 6469348\/(-95). Let r be w - 3 - (-4 + 0). Round r to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-3)*72\/81\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:00 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - ((-3 - -6) + 7). Let t = y - -35. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from iiidmsiiu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 37798727\nAnswer: 7559745.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 116\/25, -1\/2, 5, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131278373.\nAnswer: 701, 187273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -10*u**2 + 0 + 0*u**3 + 0*u + 1\/8*u**4 - 1\/20*u**5. Factor o(m).\nAnswer: -3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/24)\/(3\/(-1854)) - 0. Let w = j - 386. Find y, given that y**3 + w - y - 1\/4*y**2 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 6*p - 10. Let u be p\/(-11) - (-462)\/121. Suppose u*a - 44 = 36. What is the smallest common multiple of a and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -152*j + 2. Let a(h) = 883*h. Determine a(z(d)).\nAnswer: -134216*d + 1766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**5\/20 + b**4\/3 + 2*b**3 - 4*b**2 + 51*b - 4. Determine q(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -376050.\nAnswer: 188025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11792920033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10896, 10891, 10886, 10881, 10876?\n\"Answer: -5*g + 10901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276 and 6\/(-14) + (24 - (-420)\/(-49))?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 2)*1\/2. Let d be (x - -3)\/((-8)\/2). Let k = -1 - 1. What is the biggest value in d, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 92*o + 85*o - 164*o + 8 - 8.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184 a factor of 45562608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.3. Let o = 2.2 + k. Let w = 32 - 61\/2. Which is the nearest to -0.1? (a) w (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)*w**(-4\/3)\/w)**19*((w*w**(-8))\/(w\/(w**(-9)*w)))\/(w*w**(-4\/3)*w*w*w**(-4)) assuming w is positive.\nAnswer: w**(-212\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143548901?\nAnswer: 17, 89, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1206 (base 9) to base 14\nAnswer: -481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x - 5*x + x)*(4 - 5 + 0) - 3*x + 2*x + 0*x)*(-2*x - x**3 + 2*x).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*(-2 + (sqrt(320) - (0 + 2 + sqrt(320))))*-5 + 3))**2.\nAnswer: 7396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -4. Suppose 0 = 2*w - 2*b + 8, -5*w + 4 = -l*b + 4*b. Suppose w = 2*h - 4*z - 32, 0*z - 2*z - 8 = 0. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131732660 by -4.\nAnswer: 32933165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 9*q + 16, 2*d + q + 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.355 and 21.\nAnswer: 18.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 10*m**2 + 20*m - 29. Let d be g(-12). Suppose -2*w + d = 3. What is the highest common factor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**5 + 12*j**4 + 9*j**3 - 12*j**2 + 12*j. Let p(u) = -u**4 - u**3 + u**2 - u. Let r(n) = h(n) + 12*p(n). Find x such that r(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2\/2 + 13*z - 14. Determine v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 14*r**2 - 21*r - 14. Let j be u(12). Let f(m) = 17*m - 30. Calculate the remainder when f(j) is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -3 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgq when three letters picked without replacement from hrhqggwqgq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*z - 14. Let r = z - -15. Let j be -2*((-3)\/6 - r). Solve 2*f = j*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 163?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279915630 by -18661042.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14. Let h(l) = 10*l + 42. Let k(i) = -h(i) + 3*x(i). Let b(a) = -4 + 4 + 2*a. What is b(k(f))?\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 + 273. Let p(i) = -i**2 - 14*i + 31. What is the remainder when u is divided by p(-13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j = 40*j - 3421 + 324 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 2*q)*(-q - 1 + 1)*(56*q**2 - 279*q + 279*q).\nAnswer: 112*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-42))\/((-55)\/110)?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*n*y + 3*n - 19*y**3 + 3*y - 712 wrt y?\nAnswer: -16*n - 57*y**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.1, -0.2, -1, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q. Let v(j) = 36290*j**2 - 581*j. Calculate m(v(y)).\nAnswer: 145160*y**2 - 2324*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -160, -245, -334, -427, -524, -625?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -157*o**5\/20 + o**4\/6 - 29*o**2 + 135*o. What is the third derivative of d(l) wrt l?\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 97 - 393. What is the lowest common multiple of 22 and k?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 3511472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4585*h**2 + 5138*h**2 + 3*h - 3*h.\nAnswer: 553*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-29487)\/6)\/(-2 + -63). Let q = i - 151\/2. Let n = -4\/13 + q. Which is the third smallest value? (a) 3 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.1, 0, -2\/129?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1388730 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 18*l + 75 = 0. Suppose 3*a - 3*n - 6 = l, 6 = a - 2*n. Calculate the lowest common multiple of 2 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 4 - 1 + 1 - 3. Let g be z(4). Let w = 80 + g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 1:36 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 115953, 231902, 347851, 463800, 579749, 695698?\n\"Answer: 115949*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 5:05 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 1\/5 (c) 12 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100 + 65\/(-52)*-12. Solve -l = -5*j - 115 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -5\/2*k**2 + 3*k - k**3 + 0. Does 16 divide t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 411 - 420 - 3*u + 0*u - u to k + l*u and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 165, 232, 299, 366?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o**2 - o + 1. Let g(q) = -219*q**4 + 6*q**3 + 269*q**2 + 3*q - 6. Let n(s) = -6*a(s) - g(s). What is the third derivative of n(h) wrt h?\nAnswer: 5256*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -99 - 21. Suppose -19*i + h*i + 96 = 0. Let u be 1\/(-21) + 8\/i. Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/2)\/((-159)\/(-42) - 4). Solve -2*z + 2*h = 2*z + f, 20 = -z - 5*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - 2.9. Put 4, 0.5, r in ascending order.\nAnswer: r, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5225 = -14*l - 997. Suppose -322 + l = -10*t. Let -1\/2*i**t + 4*i - 8 = 0. What is i?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -35*j + 37*j + 4*j**2 - 1 - 2. Let p(f) = -5*f**2 - 2*f + 4. What is -3*p(z) - 4*v(z)?\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*t - 14*t = -91*t - 24716 for t.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**2 + 1575*d - 88202. Give t(105).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 1:24 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:59 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*y = -217*y - 100 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Let u(s) = -s**2 + 4*s - 4. Let t be u(g). Let j be (-3)\/t*-1*0. Is -2\/27 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b = -8*b - 351440. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let i(t) = -125*t + 10. Determine i(g(f)).\nAnswer: 250*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2057*w + 223. Is k(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (1\/3)\/((-20)\/(-1020)). What is the highest common factor of w and 1300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -893283*d**2*v**3 - 50*d**2*v**2 + 3*d*v**3 - d*v**2 + 4*v**2 + 1004 wrt v?\nAnswer: -5359698*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2001 (base 5) to base 9\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1226 and -83\/2?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3 (c) -1\/3 (d) 1\/7 (e) -12995\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/(-2046)*2\/26. Let p = g - -13171\/38688. Find the common denominator of p and -55\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - p - 1. Suppose -6*i + i = 5. Let z be j(i). Let v(w) = -w**2 - 5*w + 5. Let o be v(z). Solve 0 = 2*y + 3 - o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -45*g - 593. Let h be i(-15). Suppose 3*q + 0*q = 3*s + 180, 288 = 5*q - 2*s. Let m = h - q. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100543)\/27736*(-7 - 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 504 divided by -56\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 1025*m - 50 + 89.\nAnswer: 1025*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -4.666.\nAnswer: -4.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-5))\/(1\/(-100)). Suppose -3*v + r = 2*v. Suppose k - 59 - v = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9494655159+-2.78\nAnswer: -9494655161.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10713*k + 1146283. What is t(107)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -412967 - -5?\nAnswer: -412962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.6779 and 20946.8.\nAnswer: 20948.4779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*w**3 + 65*w**2 - 14*w.\nAnswer: -w*(w - 7)*(9*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7565*z + 15135*z - 750 = 7545*z. Let u(i) = 1. Let j(h) = -2. Let o(b) = -j(b) - u(b). Let d(a) = 10*a + 30. Calculate z*o(v) - d(v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 9:44 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19821 + -19875.49. Is -3 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*a - 30, 35 = 3*s + a + 3. Suppose -6*y = -7*y + s. What is the lowest common multiple of 11 and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**5\/5 - 8*u + 6. Differentiate r(m) with respect to m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 7:44 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -60 - h**4 + 13 + 23*h + 23 - 15*h**2 + 14 + 2*h**4 + h**3 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = 0, 8*k = -5*p + 3*k + 360. Let d(q) = q**2 + 3*q. Let a be d(6). Let x = p - a. What is the highest common divisor of 184 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1134 and 110.\nAnswer: -124740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -46. What is the third derivative of -2*h**4 - 14*h**2 - 3*h**y - 7*h**4 + 2*h**4 wrt h?\nAnswer: -240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 100101010111?\nAnswer: 100101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541270*c - 18048 = 541082*c for c.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i + 73 = -45*i - 3*u, -3*i + 5*u = -31. Let k(a) = -24*a**3 - 17*a**2 - 23*a - 9. Let c(x) = -8*x**3 - 6*x**2 - 8*x - 3. Determine i*c(l) - 6*k(l).\nAnswer: 8*l**3 + 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 75*x**2 + 4*x - 3. What are the prime factors of t(1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/190*(-28)\/70.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose -r + 2 + h = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 275, 254, 211, 140, 35, -110?\n\"Answer: -h**3 - 5*h**2 + h + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682100239 is divided by 227366746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(126) - (sqrt(126) + sqrt(126)*2*-2))\/(sqrt(7) - sqrt(175)*-2))**2.\nAnswer: 4608\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4.99999986. What is x rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1214280 and -69\/944?\nAnswer: 143285040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q - q)*(3 - 2 - 2)*(3*q**2 - 3*q**2 - 5*q**2).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78239, 156458, 234677, 312896, 391115, 469334?\n\"Answer: 78219*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 19 + 1. Let z(h) be the first derivative of h**3\/3 + 2*h**2 - 5*h + 1. Calculate the remainder when z(i) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 5*p**2 + 0*p**7 + 0*p**6 + 0*p**4 + 1\/30*p**5 + 0*p**3 + 0 + 0*p - 1\/48*p**8. What is the third derivative of b(o) wrt o?\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751.837ug in nanograms?\nAnswer: 1751837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 552289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -61522160 divided by 439444?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 equal to -22925.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j = -36. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 11. Let c = 7 + x. Let s = 23.7 - 23.69. Is s at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*(-1184)\/(-128)*(-9)\/(1071\/(-136))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 108*w - 92*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 - -163.034. Round u to two decimal places.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5\/9 (b) 5 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -4*b - 3. Suppose -3*l + 5*w + 14 = 0, 0 = 4*l + w + 19 - 76. Let f = b + l. Solve -f*y + 10*y = 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 8:57 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3 + 4)*(72*q**2 - 49 + 49) in the form x + j*q**2 + t*q and give j.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-60))\/((-13)\/((-858)\/(-4)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -3*6*sqrt(1300) + 1*((sqrt(1300)*2 - sqrt(1300)) + sqrt(1300)) + -3)*-3 + 2)**2.\nAnswer: 13440*sqrt(13) + 2995396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, w: 5, v: 2, c: 1, d: 5, h: 1}. Give prob of picking 3 w and 1 a.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1, 187, 38 in decreasing order.\nAnswer: 187, 38, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2216*i - 2278*i - 5278 = -4312*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from mihiimihhhimhiihmhhi?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 4*v - 3. Let i be q(-5). Suppose -i*j = j - 27. Solve -5*u - 16 = j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*r = -48, 184 = -2*d + 6*d - 4*r. Let y = d - 29. Suppose 3*f - 2*f = y. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*y + 4, 6*y + 4*k = 3*y + 20. Solve -f - y = -5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010 (base 2) in base 12?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -50193*n. Let y(v) = -8*v. Give y(m(a)).\nAnswer: 401544*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 56.27061 millennia?\nAnswer: 56270.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1821 in 1, -5\/3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 3*a)*(4116 + 4933 + 11003 - 5267).\nAnswer: -14785*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let q(o) = -4*o**2 + 9*o. Let z(w) = -20*w**2 + 44*w. Let f(p) = 11*q(p) - 2*z(p). Give i(f(d)).\nAnswer: -8*d**2 + 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 15. Suppose 2*p = 2*w + 8, 3*w = -w + 2*p - h. What is the tens digit of 11 + 1 + (w - (4 + -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {l: 1, m: 2, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5955 is divided by 887?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2889 and 11235.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*i**2*w**4 - 65*i**2 + i*w**2 + 4*w**5 wrt w.\nAnswer: -960*i**2*w + 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1)*c)**(-22\/5))**10 assuming c is positive.\nAnswer: c**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(2\/3)*p*p))**(-2\/7))**2*(p\/p**(1\/2))**(1\/5)*(p**(-2\/7))**(1\/9) assuming p is positive.\nAnswer: p**(1003\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/30 - 2*k**4\/3 + 459*k**2. Let x(j) = -3*j**2. Determine x(u(g)).\nAnswer: -12*g**4 + 192*g**3 - 768*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 463.03 - 466. Round h to one decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + 1.9. Let g = z + -0.200000112. Round g to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(4 - 2 + 1) + 4 - 1 + 0)*(2*b**2 + 3*b - 3*b + (-2*b - 5*b + 4*b)*(4*b - b - b) + 4*b + b**2 - 4*b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k + 1. Let d(g) = 68*g + 5. Let a(z) = -d(z) + 5*w(z). Let r(y) be the third derivative of y**5\/60 + y**2. What is a(r(j))?\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000678053 rounded to five dps?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 + -162.1. Which is the nearest to 3? (a) 2\/13 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) -1 (c) 0.5 (d) -79\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 24 = 56 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f + 20. Let h be ((-4)\/(-3))\/(1\/3). Let u be 2\/8 - 1\/h. Let t be m(u). What is the greatest common divisor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508956187 is divided by 115.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1220778*j**3 + 2855*j + 123 wrt j?\nAnswer: 7324668*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 105*z - 52. What is the hundreds digit of x(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycaaayayaccy. Give prob of picking 2 c and 1 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {a: 1, u: 4, h: 1, g: 1, m: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 130 + -0.04\nAnswer: 129.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46899558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 36.26?\nAnswer: 35.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + 39 + -2)*1. Suppose 26*n - 525 + g = 0. What is the remainder when n is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2) + -3 + 5. Let z = -0.3 - -0.5. Let j = -5 + 3. Which is the closest to -1? (a) z (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 - 23*v**5 - 5*v**5 + (9757*v - 96*v**2 - 9757*v)*(-5*v**3 + 0*v**3 + 2*v**3) + 3*v**5 - 7*v**5 + 3*v**5.\nAnswer: 259*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -373977 (base 12) in base 15?\nAnswer: -12b214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.48 + 55.52. Let x = -56.17 + k. Are 0.07 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = 2*n, -2*i - 2*i - 5*n = -28. Suppose i*s = -2*g + 2, -g - 15 = s + 4*s. Let v(a) = 2*a - 3. Determine v(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.113 or 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1858 - -1851. Let i(c) = 3*c + 33. Calculate i(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*c - 76*c - 19. Let k(q) = 18*q**2 + 13*q**2 + 4*q - c - 34*q**2 + 1. What is k(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*u**3 + 243001*u**2 + 19185114*u - 5 wrt u?\nAnswer: 618*u + 486002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4944\/27192*(-11)\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83491233 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-240)\/(-36) + (-2)\/3. Let d = o + -2. Suppose -h - 4*j = 3*h, d*h - 12 = -j. Solve 0*m + h*f + 1 = 3*m, f = 4*m - 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k - 3*j + 126 = 0, -j = 3*k - 136. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -13322, 0 in decreasing order.\nAnswer: 0, -9, -13322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.064 + 0.04. Let x = -1502.916 + 1503. Let c = x + s. What is c rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*d + 2*o + 3, o = 5*d - 29. Let z be 0\/(d - 1) + 1. Let h be (-10)\/6 - z\/3. Put h, -5, 0 in ascending order.\nAnswer: -5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - i - 7 = 0, 100796*i = 100794*i - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 17. Suppose -3*k - 18 = 2*t + 68, -3*k = t + s. Let b be (-41)\/(-8) - (-5)\/t. Solve -11 = b*i - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/5 + 2\/(-10). Let z(j) = -1 + d + j**2 - 1 - 3*j + 0*j**2. What is the units digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(210)*-3)\/sqrt(6))\/(((sqrt(84) + -2*sqrt(84) + sqrt(84) + sqrt(84))*-5)\/(1*sqrt(60)\/sqrt(5))).\nAnswer: -36*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -171 (b) -45\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -23*w**2 + 4*w + 3. Suppose -66*p + 76 = -104*p. Calculate a(p).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 3 (c) 0.3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avv when three letters picked without replacement from {e: 3, v: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -359, -68, -2 in decreasing order.\nAnswer: 117, -2, -68, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*t = -2*t + 24, 2*t = 4*b - 6. Let y be 48\/6 - b\/1. Suppose -y*w + 29 = -2*w + 5*c, w - 4*c + 13 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56338 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42116961, -84233930, -126350899, -168467868?\n\"Answer: -42116969*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 164741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31802, -31825, -31856, -31895, -31942?\nAnswer: -31997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -58*q. Let a(m) = 8*m. What is a(j(v))?\nAnswer: -464*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**5*a)\/a*a*a**(-4))**(-17\/5))**(-10\/3))**(-40) assuming a is positive.\nAnswer: a**(-2720\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfe when three letters picked without replacement from dkjdmfddded?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1, -2\/13211, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 766754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.08 (b) 4\/7 (c) 3\/50 (d) -1\/2 (e) 0 (f) -9 (g) 144.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211100 + 222100212?\nAnswer: 1001012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5456 divided by -1364.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 3*d. Suppose r - 6 = -4. Let p = r - -1. Is 3 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-2*(0 + -2). Suppose -5*q + 0 = w - 7, -3*q = 4*w - 11. Suppose -w*v + 0*f + 3 = -f, -3*f + 15 = 2*v. Sort 2, l, v.\nAnswer: l, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Suppose n*k - 22 = -3*v, -4*k = -5*v - 7 + 19. What is the remainder when 9 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, t: 6}. Give prob of sequence eet.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 - 156638?\nAnswer: -15668a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 437 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b = -69*b + 263. What is the remainder when b is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040016 to 5 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126249474 and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -0.96. Let t = -0.96 + r. Let z be 512\/(-36) + (-7)\/((-84)\/120). Is z less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27903085.\nAnswer: 5, 7, 787, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 11, 2\/13, -6007.\nAnswer: -6007, 2\/13, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 37. Let y be w(-4). Let i be (2\/2)\/(y\/(-1551)). Which is greater: -48 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1331) + 4 + sqrt(1331) + 0 - ((2 + sqrt(1584) + sqrt(1584) + -2)*-3)**2.\nAnswer: -57017 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/9)\/(4\/(-6)). Suppose -3*w + 292 = 2*u, 5*w - 290 = 2*w - u. Let d = 91 - w. Put 5, d, x in descending order.\nAnswer: 5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 - 3*g + 8. Give o(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18447)\/4)\/(-11) - (-1)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 82*j - 312 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + (23 - 92 - -66)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:54 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 3999688*u + 1999688012168.\nAnswer: 2*(u + 999922)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17590 is divided by 3876?\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 10*u - 8*u + 0*u - 3*u + u + (1 + 3 - 3)*(-4 + u + 4))*(-33*u - 72*u + 17*u).\nAnswer: 528*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.524093 to 1 decimal place.\nAnswer: -48.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1399 = 4*u + 101, -5*t = -u - 7557. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfi when three letters picked without replacement from mrfifrf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7775, 7768, 7755, 7736?\nAnswer: 7711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 232.7 - 13.7. Let c = 221.68 - h. Round c to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + w = -113, -5*w - 97 = u - 3*u. Let m be u\/15 - 4\/10. Suppose m*s = 3*s - 1. Solve 2 = -3*f - s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**5 + 30*y**4 + 100*y**3 - 450*y**2 - 95*y + 420 = 0.\nAnswer: -4, -1, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1952, 3916, 5882, 7850, 9820, 11792, 13766?\n\"Answer: o**2 + 1961*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225\/11296 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(100) + 4*sqrt(100) + sqrt(4)).\nAnswer: sqrt(17)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b**2 + 15*b**2 + 26*b**2 - 25*b**2.\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 12:50 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3385800 rounded to the nearest 10000?\nAnswer: -3390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 5:27 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -37*b - 667. What is g(-17)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0\/(g\/(g*g\/(g\/((g*g**5*g)\/g*g))*g)*g)*g**(-3\/5)*g*g**(-2\/5)\/g assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-6 - (25 + -18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d. Let p be (-8)\/(-6)*(-12)\/(-8). Suppose 0 = -5*c - 2 + 27, 96 = p*v + 4*c. Let k(r) = -21 + v - 4*r - 17. Determine k(i(b)).\nAnswer: 52*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2865667 by -5.\nAnswer: 2865667\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000101 (base 2) in base 7?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 4, 3, -2, -26, -0.16862.\nAnswer: -26, -2, -0.9, -0.16862, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 6*m**2 + 6*m. Let b be d(2). Let w(x) = x. Let h be w(5). Suppose 0 = h*k - 3*k - 10. Is b less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 1 + 13*f**3 + 1285*f - 14*f**3 - 3*f**2 - 1278*f to q*f**3 + d*f + g*f**2 + u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 + 135. Is 35 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*l - 144*l + 81*l - 46*l - 1960 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:11 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 10888.\nAnswer: 43552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 143046329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6857.\nAnswer: 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 l when three letters picked without replacement from ffllfvvffsfvvvffvl.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - b - 8. Let g(w) = w**3 + w + 9. Determine 3*g(d) + 2*r(d).\nAnswer: -d**3 + d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 265005 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/9 - 2\/9. Let d = -374 - -374. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/7 (b) -328 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.73 - -10. Let k = h - 8.27. Which is the closest to 0.1? (a) -0.5 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55852, 55855, 55858, 55861, 55864, 55867?\nAnswer: 55870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 37*h + 3*r + 60 = 0, -h - 4*r = -19. Let q(v) = -v**2 - 10 + 0*v - 5*v + 4*v**2 + 3*v**2. What is the remainder when q(-4) is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 320070 or -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -18 (c) 2\/21 (d) 1\/11 (e) 67 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35598.907 and 12856.7?\nAnswer: 22742.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 12. Let c = 10 + -16. Calculate a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -2)\/4 - 299. Let c = -172 - y. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/15 + 4477460*w\/3 - 12529780032250\/3 = 0.\nAnswer: 5596825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 + 14571\/84. Let k = u - 174. Is 0 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1302 - 211111132?\nAnswer: -211113100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djudaaajaajau. Give prob of picking 2 a and 1 d.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -173 and 4?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/4 + 175*q**3 + 697*q**2\/4 - 699*q\/2.\nAnswer: q*(q - 1)*(q + 2)*(q + 699)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8398868 is divided by 218?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 26 - 22 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afaa when four letters picked without replacement from {f: 5, a: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-96)\/(-30))\/((-1)\/(-5)). Suppose 0 = -6*i - 76 + t. Let q = i - -16. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, j: 3, w: 9}. What is prob of picking 1 s and 1 j?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 6*n**2 - n + 7. Let y be l(-6). Let k = 9 - y. Which is smaller: -6 or k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Let z(b) = b**2 - 4*b + 3. Let l be z(j). Suppose 23 = l*u - 247. Calculate the highest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*d + d - 159, -5*d + c = -162. Calculate the remainder when d is divided by (-1088)\/(-88) - (-8)\/(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5002 is divided by 84?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2517*j**2 + 161*j - 1182275?\nAnswer: 5034*j + 161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2 + 4*t - 6. Let b(r) = 11*r**2 + 5*r - 5. Let v(l) = -4*b(l) + 5*g(l). What is the first derivative of v(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*r = 554*r + 3225 + 23559 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-5))\/(1 + 14\/(-20)). Put -5, 1, j, -1 in decreasing order.\nAnswer: j, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.28 + -0.28. Let s = z + -11. Let x(v) = 2*v + 3. Let r be x(-3). Which is the closest to 2\/11? (a) 0.2 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -5757*q**5\/5 + 25*q**3\/3 + 15*q**2\/2 + 5019. What is the third derivative of p(l) wrt l?\nAnswer: -138168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -84 in decreasing order.\nAnswer: -2, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 195096015*j + 431736115 wrt j.\nAnswer: 195096015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001010001 + 10?\nAnswer: -111001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 3*u - 3*u + 0 + 0 + 2*u + 2*u + u - 12*u + (2*u - 2*u - 2*u)*(-2 - 2 + 2).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.034 - 0.125. Let h = -0.009 + u. Suppose 5*m + v = 3*m + 4, m + v - 1 = 0. Which is the nearest to 1\/3? (a) m (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01255 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(180) + 1 - sqrt(180)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -364, -915, -1624, -2479, -3468, -4579, -5800, -7119?\n\"Answer: 2*a**3 - 91*a**2 - 292*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaksaaaaaaaaca. What is prob of picking 1 k, 1 s, 1 a, and 1 c?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -2. Let i = r + 13. Let x = i + -3. Which is bigger: -0.5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*y - 5 = 0, -4*d - 4*y = -0*d + 28. Let s = d + -3. Let i be 1 + -5 - s*1. Which is bigger: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h + 0*h)*(34*h - 3*h**3 + 5*h**3 - 13*h).\nAnswer: -2*h**4 - 21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, 86, 34, 0.6 in increasing order.\nAnswer: -0.19, 0.6, 34, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -37 + 25 + (6 + 88 - -1)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {i: 1, f: 2, e: 7, y: 2, v: 1, b: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396877533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, 349, 951, 1795, 2881?\n\"Answer: 121*d**2 - 3*d - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) 19\/11 (c) 1\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204739.\nAnswer: 53, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15344080 divided by 3068816?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 + 3*t - 2. Let n = -50 - -63. Suppose -n*m - 9*m = -88. Let p(q) = 17*q**2 + 8*q - 5. Calculate m*p(i) - 11*a(i).\nAnswer: 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60294722, -120589443, -180884164?\n\"Answer: -60294721*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {d: 2, c: 4, u: 2, b: 1, v: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7708 and 1316.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61947*a**2*m + 418*a**2 - 66*a*m - 889*a + 29 wrt a?\nAnswer: -123894*m + 836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3 = -j, -3*j + l + 3*l = -64. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 58 = -5*p. Let w = 101 - p. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 22180*l + 132900.\nAnswer: 5*(l - 4430)*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 598, 1, 55, 4 in descending order.\nAnswer: 598, 55, 24, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**3 + 82*v**2 + 91*v - 2. What is o(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9769\/1982 + -2\/6937. Calculate the common denominator of 81\/184 and z.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 22\/9, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 36 = -2*d, 6*g + 23 + 21 + 3 = -d + 1 - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*v**2 - 315*v**2 - 97*v**2 + (0*v - v**2 + 0*v)*(3 - 2 - 2) as i*v + m*v**2 + y and give m.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*b + 131215 = 0, -3*b - 47540 = -5*l + 83705. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -62\/11, -0.2, 179 in increasing order.\nAnswer: -62\/11, -3, -0.2, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x - 4. Let o be q(1). Find the second derivative of 3*v**2 - 56*v**o + 2*v**2 - 6*v**2 - 92*v + 10*v wrt v.\nAnswer: -1120*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 5*r - 1. Suppose -16 = -2*y - 2*z, 0 = -5*y + 3*y - 5*z + 28. Let o be l(y). Solve 3*f - 6 = -o*k, 3*f = 3*k - 3 - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 12:03 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xff when three letters picked without replacement from {x: 7, z: 3, d: 3, f: 4, k: 2}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155273 - -776373\/5. Let 2\/5*n**4 + 26\/5*n**2 + 12\/5*n**3 + 24\/5*n + v = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(2\/37)\/(v**(2\/13))**(-2\/5) assuming v is positive.\nAnswer: v**(278\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (31 - 14 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004836 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 13.07. Let z = -0.13 - a. Let j = 870\/7 - 124. Are z and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835408483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-176)\/9)\/4 - (-88 + 83))*-6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j. Let l(f) = -9*f + 1. Suppose 0 = -5*r + 56 - 6. Determine r*t(q) + 2*l(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 - 2*j - 4. Let s be t(-4). Suppose -g - 22 = -6*g - s*w, -3*g + 21 = 5*w. Suppose -3*a = 2*a - 75. Solve -v = g*v - a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 736 + -618. Calculate the remainder when y is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + -3 + 4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**3\/5 + 1598844*c**2\/5 - 31957453728*c + 3674261438912\/5 = 0.\nAnswer: 23, 199844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**3 - 32*l**2 = 0?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -60. Suppose 5*j + 525 = 3*v + 134, y = -2*v - 2*j + 250. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -d7?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 5\/4, -1611, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-75) - 1 - ((-10152)\/(-600) + -80).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-24)\/28 - (-22)\/7. Let a be 1\/y + (-1)\/((-6)\/22). Solve q + a*q + 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19333386 by -568629.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1592 + 3662. Suppose -f = -12*t - 306. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3012\/5 - 602. What is the fourth smallest value in h, -4, -232, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -13*a. Let i(k) = 168*k. Suppose 23*q + 194 = -1278. Give q*w(d) - 5*i(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + 75. Let r = -2\/319 + -624\/2233. Let v = 0.11 + -5.11. Which is the second biggest value? (a) g (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -0.03. Let x = -1 + g. Let y = 1 - 1. Which is the closest to y? (a) x (b) -1\/4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -26.034. Let x = y + 0.066. What is the closest to x in 5, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/11 and -59\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4355353*g - 16158119.\nAnswer: 4355353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 2660728*n\/3 - 3539736744992\/3.\nAnswer: -(n + 2660728)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40432 + 3194126\/79. Suppose 4*d - 4 = -4*r, -2*d = 2*r + 3*r - 5. Does g = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 6:56 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25\/9 (b) -1\/5 (c) -6 (d) -2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/30 + m**4\/24 - m**2. What are the prime factors of i(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 9*p**2 - 11*p - 2. Let m be w(-8). Does 10 divide (m\/(-4))\/(12\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 132. What is the second smallest value in 3, s, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3\/7 (c) -2.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 943 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14197 = 41*t + 15058 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 124313 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -5*c**3\/6 - 4*c**2 - 2*c. Let a(j) = -6*j - 9. Give -6*a(k) + 7*b(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -291 + 287. Which is bigger: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5673, -6878, -8879, -11670, -15245?\n\"Answer: q**3 - 404*q**2 - 5270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 7*s - 80. Let p be ((-6)\/(-5))\/((-4)\/s). Find the third derivative of -4*q**2 + 6*q**6 - 2*q**2 + 0*q**2 + 7*q**p wrt q.\nAnswer: 1560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:37 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 4:57 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1153.\nAnswer: 1\/1153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1. Let p = 209 - 215. Let d(q) = 170*q**2 - 194*q - 6. Let b(z) = p*r(z) + d(z). What is the second derivative of b(t) wrt t?\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (99*y + 65*y - 52*y)*(-2 - 14 - 736*y**2 + 739*y**2) as l*y**2 + b + o*y**3 + z*y and give o.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 8 + (250 - 213).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 7. Suppose 0 = -2*q + 5*x + 11, 5*q + x - 10 = 4. Let z be g(q). Solve 4*b = 4, 2*m + 5 = -z*b - 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 2:13 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -4\/70625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 124298 divided by -6542\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 29 - 8. What is the units digit of (-51)\/u + 3\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f - 9. Let r be f\/1 + (-1)\/1. Let g(a) = -a**3 + a**2 + 5*a + 5. Is g(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.2, 0.32, 0.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 5 - 4\/(-5)*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -548, -992, -1452, -1928, -2420?\n\"Answer: -8*n**2 - 420*n - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 662 - 613. Which is the second smallest value? (a) 2 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*y + 2 + 29*y**2 - 192*y**2 + 169*y**2 as c + x*y**2 + k*y and give k.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u**2 - 23*u + 31. Let q(k) = -2. Let p(o) = f(o) - 6*q(o). Is p(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -263940 - 17?\nAnswer: -263957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + 0)*-5.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 353, 364, 377, 392, 409?\n\"Answer: k**2 + 8*k + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v - 2. Let p be h(-1). Let w = p + -7. Put w, 2, 5 in decreasing order.\nAnswer: 5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77\/38 + 347\/190. Let j = 16151614\/171 - 188907\/2. Find the common denominator of t and j.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -48, 6767, 2, 0.\nAnswer: -48, 0, 2, 5, 6767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -70. Suppose -6 - 6 = -k*q. Sort -2, -1, q, 2 in descending order.\nAnswer: q, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 447989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5027 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-393)\/48*-2)\/(36\/648). Let s = i + -294. Factor -3\/4*q**4 + s*q**2 + 0*q + 0*q**3 + 0.\nAnswer: -3*q**2*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (15 + 14 + -7) - -27?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158*t + 1 + 406*t - 1 - 3*t to x + w*t and give w.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 8378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 697978 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1302\/(-279)*72\/(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 8 = -n - j, 0 = -n - 2*j - 2. Which is the nearest to -2? (a) -0.1 (b) n (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 8*d - 19. Let v(l) = 1. Let s(y) = u(y) + 2*v(y). Let q be s(-9). Let t(w) = -10*w**2 - 3 - 2 + 9*w**2 + 1 - 9*w. What is t(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*q + 3402, -68*k - 2*q = -64*k - 4558. What are the prime factors of k?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2 = -2*b - 1, -17 = 4*b + 5*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43235.39 kilograms?\nAnswer: 43235390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12c5 + 1?\nAnswer: 12c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/((a**(3\/5)\/a)\/a))\/a)\/a)\/a)\/a*a*a)**(-11)\/(((a\/(a**(9\/2)\/a*a)*a*a)\/a)\/((a\/(a\/((a**4*a)\/a)))\/a)) assuming a is positive.\nAnswer: a**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - 2 - 2\/2. Solve -3*v + 3*k = 2*v + 7, r*v - 5*k - 1 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/358128 and -1\/134298?\nAnswer: 1074384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + 0*g)*(3*g - 3*g - 2*g) + (2*g - 5*g + 2*g)*(2*g - 4 + 4) + 1 - 9*g**2 - 1.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12917, -12918, -12921, -12926, -12933, -12942, -12953?\nAnswer: -12966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/8309860 and 1\/61860?\nAnswer: 24929580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**5\/15 - 64*o**3\/3 - o**2 - 3*o + 6. Let a(d) be the second derivative of s(d). Let m(r) = r**2. What is m(a(q))?\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 178683, 714724, 1608149, 2858976, 4467223, 6432908, 8756049?\n\"Answer: 3*x**3 + 178674*x**2 - 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1)**2*5 + (-4*(sqrt(102) + (1*sqrt(102) - sqrt(102) - sqrt(102))) + sqrt(102))\/sqrt(6).\nAnswer: 81*sqrt(17) + 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**7\/840 - 7*l**6\/360 + l**5\/40 - 3*l**4\/8 - 3*l**3 - 19*l**2. Let k(n) be the first derivative of q(n). Give k(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.04, -6 in ascending order.\nAnswer: -6, -3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeeelycyyezy. What is prob of picking 1 y and 1 l?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y + 63 = -52*y. Calculate the highest common factor of 231 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**4\/4 + a**3 + a**2 - a - 7. Let b be j(2). Suppose -b = 5*o - 3*m, 2*o + 2*o - 8 = -m. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-10 - -2) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**3\/3 - 4*j - 173. Determine k(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 16808?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -17. Suppose 224 = 3*w - 2*w. Suppose 0*o + o - n*d = 47, w = 5*o + d. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 9104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 137081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1061, -4187, -9393, -16685, -26069, -37551?\n\"Answer: -q**3 - 1034*q**2 - 17*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684619, -684623, -684627, -684631?\nAnswer: -684635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06143 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 57, 58, 59?\n\"Answer: o + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)\/((v**(-1)\/v)\/v)*v\/v**(4\/5)*v**(-4)*((v\/v**(-3\/2))\/((v\/v**(-2\/5))\/v))**5 assuming v is positive.\nAnswer: v**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 166\/((0 - 1)*-2). Let d = y + -35. Calculate the highest common factor of 32 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 times -17.5\nAnswer: 2590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30569984 - -31.3\nAnswer: -30569952.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 4. Let u be r(5). Suppose -5*g - 5 = 5*z, -5*g = 3*z + 4 + 9. Suppose -z*o = x + 19, -u = -2*x + 1. Let v(w) = -w + 6. Give v(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 2*r**2 - 3*r - 3. Let k be s(-2). Let z(w) = -2*w**2 + 15*w - 22. Let n be z(4). Solve -k*v + 3 = n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 35 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {q: 1, b: 2, p: 1, i: 4, g: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(27\/(-10))\/9*(-7)\/14.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 40*n**3\/3 + 123*n**2 - 2*n + 176. Let v be x(-3). Solve 0 = 5*g + 4*b - 13, g + 2*b + 31 = v*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127609, 255310, 383099, 510976, 638941, 766994, 895135?\nAnswer: 1023364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-8)\/(-6))*(-5 + (-88)\/(-11)). Suppose 9\/2*o**2 - 3*o + 3\/2*o**5 + 0 + 3\/2*o**3 - f*o**4 = 0. Calculate o.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4454 (base 8) in base 3?\nAnswer: 10012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 106403, 106355, 106265, 106127, 105935, 105683, 105365, 104975?\n\"Answer: -d**3 - 15*d**2 + 4*d + 106415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*z**2 + 4305*h**3 + 6*h**2*z + 29*h*z**2 - h - 24*z**2 - 4 wrt h?\nAnswer: 12*h*z**2 + 25830*h + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4418.5924 plus 0.02089164?\nAnswer: -4418.57150836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 38968775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3046791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w. Let m(c) = -73*c. What is m(a(z))?\nAnswer: -1095*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757431.8 days to minutes.\nAnswer: 1090701792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 11*q**2 + 10*q**2 - 9*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = 3*k. Let x(p) = 168*p + 2. Let n be x(k). What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0) + 1\/(-1). Let x(q) = q + 18 - 2*q**3 + 3*q**3 - 17 + 0*q**3. Let w be x(o). Sort 4, w, 0 in descending order.\nAnswer: 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 33. Let y(o) = 1 - g + 10 - 2*o**2. Let x(r) be the second derivative of r**4\/6 - 2*r. Give y(x(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eehhehheeeheeeee. Give prob of picking 2 e and 2 h.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 542 = -790. Suppose 0 = 4*f - n + 32. Solve f*s = 26*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 - (-16 - -9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = -19*w - 15*w. Let z = 10 - 4. Solve -z*i + 24 = -w*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(76)*1)*-6 + ((sqrt(228) - (-1*sqrt(228)*5 - sqrt(228) - sqrt(228)))\/((sqrt(24) - (-2*sqrt(24) + sqrt(24)))\/sqrt(2)))**2.\nAnswer: -12*sqrt(19) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/225)\/((-60)\/(-350)*-14). Let q = 2460 + -110717\/45. Let a = q - z. What is the nearest to -2\/7 in a, 0, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16\/42027 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-14 + (9 - 4))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 419284 and 209642.\nAnswer: 419284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3183369 divided by 37\nAnswer: 86037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 167454871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8290.58 decades in millennia?\nAnswer: 82.9058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7564 (base 9) to base 16.\nAnswer: 15be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 71 = 31. Suppose -14*z = -19*z + k. Solve -6*o + z*o + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039945457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/43784 and -53\/9262?\nAnswer: 481624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -4*v - 12 - 4, 3*v - 2*i + 294 - 282 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(0*z + 2*z + 0*z) + (132 - 132 + 5*z)*(-3 - 2 + 3) as a*z + l and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*s + 12 = 0, 4*s + 10 + 2 = 0. Suppose r*h = t + 2*h + 14, -5*h - 20 = 0. List the prime factors of ((-8)\/(-10))\/(t\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -702.21 to 0 dps.\nAnswer: -702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Suppose 1 = -4*j + 21, 3*b - 1 = j. Suppose 2*t - 4*d = 26, 2*t = -3*t - d + 76. Solve t = -3*y + b*o, -h*y - 18 = -o - 2*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 998424.6g?\nAnswer: 998424600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 2518*p**3\/3 + 117*p + 1311. What is the first derivative of g(w) wrt w?\nAnswer: 5036*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 + 4*l. Let r(b) = b**2 - b. Suppose -o = 2*i - 0*i + 3, -o + 5 = 0. Calculate i*r(a) - q(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43315 - -433589\/10. Let c = 213\/5 - s. Let u = 365\/22 + -672\/11. What is the common denominator of u and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 3 = 5*h. What is the least common multiple of (-9)\/(-2)*(17 - h) and 111?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201976 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-100) - 2\/(-15)*-6. What is the nearest to -0.1 in u, 3\/8, 11, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - 2*i**2 + 2*i**2 - 5*i**2 + i**2 + 3*i**2 + (-2 + 1 + 2)*(-2 + 2*i**2 + 2) + 4*i + 2*i**2 - 4*i - i**2 + 4*i**2 + 21*i**2.\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*d + 239*d + 183*d - 7056 = 0 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (34440\/(-40180))\/((-30)\/(-21))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-500*25)\/(7 + (-107522)\/15360). What is l rounded to the nearest 1000000?\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 113.022 and -2.\nAnswer: 111.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 3*v + 23, -3*n - 5*v - 101 + 120 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1964709357?\nAnswer: 3, 13, 233, 216211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/1491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -0.1. Let u = 0 + -0.4. Let d = -3081\/10 - -308. Which is the smallest value? (a) d (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1787, 1784, 1779, 1772, 1763, 1752, 1739?\n\"Answer: -r**2 + 1788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -215879*u - 32. Let d be p(-8). Round d to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47298.\nAnswer: 2, 3, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaffa. Give prob of picking 2 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 340239.8 decades?\nAnswer: 40828776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*w + 577 = 3*w, 4*d - 572 = -4*w. Suppose -18*f = -12*f - d. What is the smallest common multiple of 48 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.02000166 + -2.02. What is z rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954, -948, -938, -924?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -1 - 4\/7*s**7 + 0*s + 0*s**5 + 0*s**6 + 0*s**2 - s**3 + 0*s**4. Find the third derivative of i(d) wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 730\/(-28) - ((-1806)\/(-70) + -26 + (-52)\/140)?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24028737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 6554 + 11600 = 0. What is the remainder when 2\/(-6) + x\/6 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 64*k + 28. Let m(g) = 15*g + 7. Let s(n) = 4*j(n) - 17*m(n). Calculate s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 9. Let h(x) = -5*x**2 + 12*x + 0*x**2 - 4 - 6*x. Let p(y) = -6*y**2 + 7*y - 5. Determine q*h(b) - 4*p(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.81 + 0.8099703. Round r to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (-51 - -60)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (0 + 9\/(-2))\/(17\/(-340))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5028, -10558, -16572, -23070, -30052?\nAnswer: -37518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (46\/(-3))\/((-6)\/45). What is the highest common factor of t and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 627 and 891.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {t: 1, v: 4, n: 6, u: 2, g: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 160*z + 82*z + 81*z.\nAnswer: -z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 826, 830, 834, 838?\n\"Answer: 4*o + 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/20)\/(1\/(-5)). Suppose -q*l = -a - 70, 9 + 36 = 2*l + a. Calculate the remainder when l is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 856\/4280 - (-2 + 223528\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/(o*o\/(o**0*o)))\/(o**(-15)*o**(2\/11)*o*o) assuming o is positive.\nAnswer: o**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*k + 6. Let m be (-352)\/6*k\/(-4). What is the highest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27740 + -27157.9. What is s rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123 - 123 - 8*x**2)*(4*x - 17*x - 3*x)*(-1 + 2 - 3) to the form i*x**3 + m*x + r + l*x**2 and give i.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/594*21*(-3429)\/(-762).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 315 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1320)\/310*(-317)\/63. Let c = -20\/217 + x. Calculate the common denominator of -85\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 times 9.24?\nAnswer: -1607.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.48 + -0.67. Let j = y - -1.1500302. Round j to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 1\/3*g**5 + 20\/3 + 4\/3*g + 5\/3*g**4 - 5\/3*g**3 - 25\/3*g**2 = 0.\nAnswer: -5, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7 + 10 + 16*j**3.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 take away 2491673.94?\nAnswer: -2491632.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243, -5, 1, 4, 15, -4 in descending order.\nAnswer: 243, 15, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 24 = 50*s. Solve -h - 1 = 2*p, s = -4*h + 5*p - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424976, -850094, -1275210, -1700324, -2125436, -2550546?\nAnswer: -2975654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*2*sqrt(77))\/(-1*sqrt(2156)).\nAnswer: 10*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4730480?\nAnswer: 2, 5, 29, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 14. Let z(c) = -13. Let u(y) = -8. Let g(f) = -u(f) + z(f). Suppose -2*s + x = -2*x + 31, 4*x - 4 = -2*s. Calculate s*g(j) - 3*p(j).\nAnswer: -3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 698 divided by -349\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 370*i. Let d(j) = -2*j + 267. What is q(d(n))?\nAnswer: -740*n + 98790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117 or 0.17?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - k**3 + 0*k**3 + (0*k**2 + 0*k**2 - 5*k**2)*(0*k + k + 0*k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhfuyfjhf. What is prob of picking 2 h and 1 u?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64996 is divided by 2415?\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-11) - (-316)\/(-44). Let r be 200\/25 - 1*14. Is 21 a factor of r\/4*y*(5 + 23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010001 + 100?\nAnswer: 1101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002854474 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4839069 is divided by 50406?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6386 and 12710?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5165781 is divided by 224599?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -209389 = -209216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2860 and 6240.\nAnswer: 68640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*o + 6 = -16, 2*o + 8 = 0. Suppose 12 = -g*h - h. Do -0.2 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.15. Let s = -0.68 - -0.892. Let b = s + d. What is b rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -43. Let x be 2\/(-2) + o + 12. Solve -3*r - 2 = 4*h, 5*h = -x*r + 4*r - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 58930\nAnswer: 1\/29465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22646, 23487, 24328, 25169, 26010?\nAnswer: 26851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.050418 - 0.3.\nAnswer: -0.350418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 8. Let n = 0 - y. Let s be (-8)\/(-3)*(-4)\/16. Which is the nearest to s? (a) -4 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0)*175\/15. Find the second derivative of 0*p + g*p**5 - p + 35*p**5 + 17 + 27 - 61 wrt p.\nAnswer: 1400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -7*u**3\/6 - 19*u**2\/2 - 3*u. Differentiate d(k) with respect to k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1110 - 2202 = 69*k for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1771467?\nAnswer: 531440.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -4673?\nAnswer: 4678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**7\/147 + 3*h**5\/35 - 4*h**4\/21 + h**3\/7 - 127*h + 92. Let n(t) be the first derivative of k(t). Factor n(m).\nAnswer: -2*m*(m - 1)**3*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 341724 and -1.53.\nAnswer: -522837.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5607 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/5 + 457*(-32)\/(-40).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + p - 4*p - p**2)*(-2*p - 4*p + 3*p)*(1 + 5 - 5).\nAnswer: 3*p**3 + 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 210*u + 9035. What is f(-43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098888821?\nAnswer: 3, 31, 983, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -77*k + 8. Let j(x) = -26*x + 3. What is 8*j(u) - 3*m(u)?\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29844954 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:58 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l - 1. Let n(i) = -313 + 311 + 2*i**2 - 3*i**2 - 8*i + 2*i**2. Let k(p) = -5*d(p) + 3*n(p). Let g = -2 + 3. What is k(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3. Let j(s) = -6*s**2 + 1 + 7*s - 5*s + 0. Give j(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*g**2*h + 2*g**2 + 43*g*h - 2*h wrt g?\nAnswer: -78*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 15767524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 49860\/(-21) + (-8)\/(-28). Let w = z + 3345. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 d when four letters picked without replacement from {d: 2, y: 2, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + x = -3, 57 = -28*r + 31*r + 5*x. Let i = -20 - -44. Calculate the least common multiple of r and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 44, 28, -6, -64, -152?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20373, 0.03, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4274272806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9*(((-8)\/6)\/(-4) + 2))\/1. Let c = -0.03 - -0.03. What is the nearest to c in 0.1, f, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*o - 26*o + 64584. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41647348*o**2*t - 3*o**2 - 3*o + 163319 wrt t.\nAnswer: -41647348*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 430 + 3331521?\nAnswer: 3332251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 323*t + 5824. Calculate the remainder when 355 is divided by v(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/(h*h*h**(2\/41))))\/h)\/h)**(1\/11) assuming h is positive.\nAnswer: h**(43\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.937 and -8878?\nAnswer: -70464.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -756*i + 102. What are the prime factors of k(-1)?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1584218, 1584225, 1584236, 1584251, 1584270, 1584293?\n\"Answer: 2*y**2 + y + 1584215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6114653 + 0.24.\nAnswer: -6114652.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-4)*28\/(-48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 24 = 28*z. Sort -5, 4, z, 9, -30 in descending order.\nAnswer: 9, 4, z, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**6*n**(-2\/35)*((n*n*n\/(n\/n**(-4))*n)\/n*n)**14)**(6\/13) assuming n is positive.\nAnswer: n**(-4002\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2322 and 0.67.\nAnswer: -1555.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 599848189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14*(-5 - (-14)\/(-7)). Factor 4\/5*u**3 + 2\/15*u**4 + 8\/5*u + 26\/15*u**t + 8\/15.\nAnswer: 2*(u + 1)**2*(u + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + -0.078332148.\nAnswer: -12.078332148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(159*(-71)\/(-18815)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -4*i - 4*x - 6516, -2*x = -3*i + 4886. List the prime factors of i.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5495 = -2*w - 2583. Let i = w - -9300. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 902125161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 3*q**5 + 2*q + (4*q**4 + 3*q**4 - 5*q**4)*(0*q - q - 2*q) + (3*q**3 - 4*q**3 + 0*q**3)*(-2*q**2 + 2*q**2 + 2*q**2) - q**2 - q**5 + q**2.\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {t: 1, w: 1, l: 5, k: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*r - 43*r - 964319*r**2 - 48*r.\nAnswer: -964319*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwkw when four letters picked without replacement from wniwnwwntbwtinwtbwkn.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**2\/7 - 13264*q\/7 - 1003440\/7 = 0.\nAnswer: -74, 3390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(sqrt(4)*-2 + sqrt(4)) - sqrt(55))\/sqrt(5))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 182 + (-1 - 0)*1*-1. Suppose 4*j - 3*j = -3*m + 61, -b = -3*j - 2*m. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/6*30\/40?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10808, 0.4, 1\/4 in decreasing order.\nAnswer: 0.4, 1\/4, -10808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 72 (b) 2\/5 (c) 7\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/146480 and -59\/4357780.\nAnswer: 17431120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 16*y + 16 = 0. Let c = -20 - y. Let u(t) = -t**3 - 12*t**2 - 14*t + 12. Is u(c) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373286770.\nAnswer: 2, 5, 137328677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/16*(14 - 4). Suppose 0*m - 4*m + 28 = -4*f, 2*m - 19 = f. Solve -i - w + 6 = 0, -x*i + 0*i + m = -w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - (-158)\/8. Suppose -15*t + 19*t + 20 = 0. Is 8\/l + (-103)\/t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5088 and 21942?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212112102001210020 - -2?\nAnswer: -212112102001210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 5:10 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -518*h + 415 wrt h.\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22.7 (b) -4\/3 (c) 0.5 (d) -228 (e) -2 (f) 377 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86724 - 1360?\nAnswer: 85374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:08 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 7*r + 4. Suppose 2*b + 3*b = 4*m + 14, -30 = 4*m + 3*b. Let q be d(m). Calculate the highest common divisor of q and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-230)\/(-184))\/(165\/(-72)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.37 take away -216?\nAnswer: 474.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = f + 3*h, -f - 2*h + 8 = 2*f. Let i(k) = -k**2 - 5*k + 9. Let s be i(f). Solve -b - s = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -7*h**3\/2 - 204*h. Let c(b) = 4 + 4*b - 7 + 0. Let u(j) = -3*j + 2. Let k(w) = -2*c(w) - 3*u(w). What is n(k(d))?\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**3\/3 + 1. Let n(m) = -3*m**2 + 4*m**2 - 2*m**2 + 0*m**2. Let l(i) = -3*i**2. Let v(t) = l(t) - 6*n(t). What is x(v(c))?\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 19*i**2 - 256*i - 51. Let y be n(15). What is the highest common factor of 720 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x. Suppose -2*k + 2*b = -22, -k + 0 = -2*b - 6. Let d = 21 - k. Let u(i) = 6*i - 13*i + 4*i + d*i. What is v(u(t))?\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 245385.23?\nAnswer: 245380.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(sqrt(65) + (sqrt(65) - -1*sqrt(65))))\/(sqrt(5) - sqrt(55)\/(-3*sqrt(11))).\nAnswer: -27*sqrt(13)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-82)\/(-26) - 3) + 324\/(-78). What is the nearest to 1\/3 in m, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2 + 2*c - 6. Let s(a) = -a**2 - 1. Let i(p) = 3*p**2 - 17*p + 9. Let x be i(5). Give x*v(g) + 4*s(g).\nAnswer: g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100c (base 13) to base 14.\nAnswer: b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -2 - (-1 + 3). Let s = -229 + 231. Let n(b) = -3*b**s - 5 - 3*b**2 + 6*b**2 + b**2 + b. What is n(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*b*l**3 - 295*b*l**2 wrt l?\nAnswer: 876*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, -4, -1\/6, -3\/5, 26607, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4\/5 - 1823*p**3\/5 + 13995*p**2 - 712177*p\/5 + 644024\/5 = 0.\nAnswer: 1, 19, 1784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1895.\nAnswer: 1\/1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111166 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227 + -225. Suppose 7*u = 4*t + 2*u - 1, -17 = -j*t - 3*u. Calculate the lowest common multiple of 7 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99798308 is divided by 2281.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 5}. Give prob of picking 3 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -p + 175 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1550 - 9829 = -3*t + 2*d, 5*d + 13800 = 5*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1571713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.53393 + -0.46607. Let n = -2 - -11. Which is the smallest value? (a) v (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 9:41 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1785827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 4694480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 777533.8t in kilograms?\nAnswer: 777533800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/9 + 152*k\/9 + 710\/9 = 0.\nAnswer: -71, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128744 by 1694.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -3, 5 in decreasing order.\nAnswer: 5, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from uzyzzuz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 12*g + 12. Let d be l(11). Let f be (1 - -1)\/(1 + d). Let p be (f + -2)\/((-2)\/2). What is the closest to 2\/5 in 0, p, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**7*l)\/(l*l**(-2\/49)*l)*l\/(l\/(l**(-17)*l))*(l\/l**22)\/l assuming l is positive.\nAnswer: l**(-1468\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 70*a - 243. Let r be o(31). Solve 1 = 4*x - 3*g + r, 2*x - 52 = -12*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) - (-51)\/7. Suppose -p*w = -3*w - 32. Suppose 4*m = w*m + 32400. Round m to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37770266519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21748753783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*v - 2*v - 43, 85 = 5*f - 5*v. Is f - (1 + -2 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - z**3 + 0*z**2)*(25*z - 22*z + 14*z + 30*z).\nAnswer: -47*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13728 divided by 66.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoklxxkkobqx. What is prob of sequence bkq?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 115.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 + 6*o**2 - 1574*o - 7890. Give k(-5).\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -20831*l + 3273. Is t(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41414, -45252, -49090?\n\"Answer: -3838*b - 37576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 369, 794, 1391, 2160?\nAnswer: 3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**4\/12 - 2*n**3 - 33*n**2\/2 + 11*n. Find the first derivative of t(w) wrt w.\nAnswer: 2*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1539 and 224067?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 - 59. Let i = a - 45. Let x be ((-4)\/8)\/((-3)\/30*-5). What is the nearest to i in -2\/7, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -15. Suppose 0 = -3*v + m - 16, 3*v = 3*g - 60. Let h = g - -128. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + r = -8, -3*p + r - 6 = 4*r. Let q be (12\/162)\/((p\/(-6))\/1). Is -0.1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51424 divided by 100?\nAnswer: 12856\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1573) - (sqrt(1573)*-1 + 4)**2) + -4*((sqrt(13) - (sqrt(78)*3)\/sqrt(6)) + 5).\nAnswer: -1613 + 107*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**5\/9 + 8*d**4\/9 - 8*d**3\/9 - 4*d**2\/9 + 10*d\/9 - 4\/9 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4808789707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlqwwllulzllz. Give prob of sequence lz.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -15*g**3 - g**2 - g. What is s(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71604 and 432?\nAnswer: 286416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3625429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-18 - (-2 + -12) - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 23*h - 23. List the prime factors of b(21).\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and (-616)\/(-52) - 12\/(-78)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 364845 and 741195.\nAnswer: 1386775845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7602234 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4 - 1 - 5*n - 13. Let v be f(-3). Solve 3*j + 2 = v*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (594\/55)\/(((-364)\/(-70))\/13).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzx when three letters picked without replacement from {z: 4, j: 6, x: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 5*a + 9. Let p(z) = z**2 + 3*z + 5. Determine -3*f(d) + 5*p(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqgqqrqgrrrrqrrwrq. What is prob of sequence rwrg?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 + 19 = 0. Let u = y + -29. What is the units digit of 1*-4 - (0 - u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + (-1 + sqrt(1584))*4 + -5*sqrt(1584)*2*-1)**2.\nAnswer: -1008*sqrt(11) + 310471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45995479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 38*n**2 - 1824*n + 12664. Let w(g) = -g**2 - 4. Let x(i) = f(i) - 2*w(i). Determine t, given that x(t) = 0.\nAnswer: -44, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -33 + 5. Let i(o) = -5*o + 1. Let q be i(1). Let y = 3 - q. What is the least common multiple of u and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/69794770 and 70\/20938431?\nAnswer: 209384310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = p, 0 = 4*p - 6*p + 4*t + 32. Let m be ((-2)\/(-4))\/(1\/p). Suppose 0 = g + l + 1, 3*l = -m*g - 0 + 3. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-9)\/(1296\/(-40))).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 4) in base 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2438 is divided by 111.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1777 = -5*a + 2*i + 53718, -5*i + 51955 = 5*a. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24028*-4*(-2)\/16. Let k = l + -228194\/19. Let q = k + 933\/190. Find the common denominator of q and -39\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - 0) + (-7)\/(392\/63) and 51\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 3. Give z(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26380232 (base 9) to base 4.\nAnswer: 301202001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/24 and -41\/108050408?\nAnswer: 324151224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a = -k + 28, 5*k - 3*a = 154. Solve 5*w - 3*z + k = 0, z = 5*w + 5*z + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1274, 2570, 3894, 5258, 6674, 8154?\n\"Answer: 2*i**3 + 2*i**2 + 1276*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d - 225 + 31 = 265. Solve s - 11*u - d = -14*u, 5*u - 15 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246\/41*2*(-1)\/(4\/3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 102?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1395*w + 110596 - 110596 to i*w + l and give i.\nAnswer: -1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*i - 8, 7 = -i - 5*q - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 843 and -176.3.\nAnswer: 666.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113957 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6208 divide 269445824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 229 * 9244.5\nAnswer: 2116990.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6161250 and 2385.\nAnswer: 18483750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -442 * 5.\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 40. Let d(f) = -4*f + 7. Let g(t) = -t + 1. Let r(p) = -d(p) + 3*g(p). List the prime factors of r(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 222*w - 23*w - 775*w - w**2 as k*w + f*w**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*r - 399*r - 457198 = -4*k, 0 = -5*k + 3*r + 571493. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(612) + -3) + (-4*(sqrt(612) + -5))**2 + -4 + 0.\nAnswer: -930*sqrt(17) + 10173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483738237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 586392 (base 13) in base 11?\nAnswer: 1203915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5252*t**3 + 2*t**2 - 109*t + 4. Let w(p) = -110*p**3 - p**2 - p. Let d(h) = a(h) + 2*w(h). What is the second derivative of d(c) wrt c?\nAnswer: -32832*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/769, -4, 67.724?\nAnswer: 67.724","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*q + 39*q + 13 - 6)*(q - 3*q + 4*q) - 3*q**2 + 8 - 8 as c*q + y + v*q**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83287.55 litres in millilitres?\nAnswer: 83287550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(108))**2 - sqrt(432)*-2) + (sqrt(24)\/(sqrt(16)\/sqrt(4)))\/(2*sqrt(242)) + -5.\nAnswer: 529*sqrt(3)\/22 + 2695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/65 and 36\/5386667?\nAnswer: 26933335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -20, -46, -88, -152, -244?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130\/57 + -2077\/969. Find the common denominator of l and -8\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 144\/17, -2\/21, 0.02, 263 in decreasing order.\nAnswer: 263, 144\/17, 0.02, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l + 7*l - 12*l.\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16737, 33465, 50191, 66915?\n\"Answer: -x**2 + 16731*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 418*j**4*l - 517*j**3*l**2 + 16899*j**2*l**2 - 55*j**2*l wrt j?\nAnswer: 10032*j*l - 3102*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15155879?\nAnswer: 2027, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -752*n + 5. Let d(c) = -2246*c + 14. What is 6*d(l) - 17*f(l)?\nAnswer: -692*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 - 5441*p + 2723*p + 2715*p + 23 - p**2 to l*p + r + t*p**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 35*m - 13. Let k be x(17). Suppose 0 = -k*h - 0*z - 4*z - 96, -4*h - 72 = -2*z. List the prime factors of h\/30 + 700\/6.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2626364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8470*z**3 + 8571*z**3 - 17032*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52162, -104328, -156494?\nAnswer: -208660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 973159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0 + (-1 - 2 + 2)*(3 - 1 - 4))*(-148*u + 3081 - 3081) as o + g*u and give g.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 2:28 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/609 and 149\/6?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6806 + 22857. Is s a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a microgram in nanograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 11*p - 108. What is the remainder when 157 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*f = 5, 2*f = -2*h - 3 + 19. Calculate the least common multiple of 2 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 5*w = -7, -2*w + 4 = -24*a + 25*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214480 rounded to the nearest ten thousand?\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -132*c + 128*c, 9 = m - 4*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 29*u - 202. What is d(9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*-2*sqrt(117)*3)\/(-6*sqrt(81)*-5)*2.\nAnswer: -4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5717?\nAnswer: 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 3434 = 184. Calculate the remainder when z is divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i*i\/i**(-3\/7)))\/i))\/(i**2*i)*(((i**1\/i)\/i)\/i)**(-15\/8))\/((i*i**(2\/3))**5\/(i**6*(i*i**0)\/i)) assuming i is positive.\nAnswer: i**(155\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1389*n - 10475 + 9891 = 340*n + 87532 for n.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 110534.8923 milliseconds?\nAnswer: 0.00018276271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 99, 105, 105, 93, 63, 9, -75, -195?\n\"Answer: -d**3 + 3*d**2 + 4*d + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i + i + 2 + i in the form z + m*i and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z. Let a(x) be the third derivative of -x + 0 - 52*x**2 - 7\/12*x**4 + 0*x**3. What is a(s(g))?\nAnswer: 112*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7598 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114823529 and 0.4?\nAnswer: -45929411.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24625146 - -63?\nAnswer: -24625053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*q - 2*q - 22 = 0, -5*q - 20 = -5*z. Suppose 5*p - 25 = 0, -3*p + 0 = -2*v + 1. What is the remainder when v is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 59*r**2 - 338*r + 19948. Calculate d(59).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3981 - 2207. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21935 by -535.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 17*k - 270 = -6*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 21, 4, -53 in descending order.\nAnswer: 21, 4, 0, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxf when three letters picked without replacement from {o: 1, x: 2, r: 1, f: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 16. Let r = 13 + f. Sort r, -5, 0 in decreasing order.\nAnswer: r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*i - 29. Let y = -6 - i. Suppose -3*a = -10*a + 56. Solve -k = -b - a, -4*b - 30 = -b - y*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/6 + 17\/6. What is the smallest value in -4\/5, p, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6864 times -2\nAnswer: 13728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -2*s + 2*p - 5*p, -4*s + 120 = 3*p. What is the highest common divisor of s and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**2\/2 - 2*u + 71. Let a = 6 - 7. Let m(q) = -q**2 - 1. Give a*j(f) + 3*m(f).\nAnswer: -3*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + h)*(74*h + 12 + 141*h - 12).\nAnswer: 430*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 5*r - 2*r)*(-2 - 144*r + 80*r + 12*r + r**2).\nAnswer: r**3 - 52*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/34 (b) 0.8683 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 + 5. Let y be i(6). Suppose 4*q = y*s - 57, -2*s + 4*s - 2*q - 24 = 0. Let l be (-8)\/6*s\/(-6). Solve -r - l*r = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -871 - (12 + -15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + x, 29*p = 33*p + x. Let r(y) be the second derivative of 2\/33*y**4 + 1\/165*y**6 + 15*y + 0 + 2\/55*y**5 + 0*y**2 + p*y**3. Factor r(k).\nAnswer: 2*k**2*(k + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 g, and 1 d when three letters picked without replacement from {g: 3, d: 9, s: 4}?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 2, -39 in decreasing order.\nAnswer: 55, 2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*m**2 + 11 - 86 + 41 + 13 + 21.\nAnswer: -190*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 76, -105304, 4, 3.\nAnswer: -105304, 1, 3, 4, 6, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 44.8861?\nAnswer: -44.9361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 298\/4 + 6\/4. Let t be (-5)\/((-30)\/(-4))*-3. What is the remainder when o\/4 + t*-1 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*u - 17 = 0, 2*d + d - 13 = u. Which is the nearest to 1? (a) -1\/2 (b) d (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2 - 2. Let t be 15\/k*6\/5. Let c = t + -2. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o = -82*o + 1056. Suppose -3*k + 0*k = -24. Calculate the highest common divisor of o and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 13 = -2*z + 7*z, p + 5*z = -3. Let a be (-4 + 2)\/p*-3. Suppose 4*h + 0*m - 4*m - 56 = 0, 0 = -a*m + 6. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {f: 1, e: 4, c: 1, k: 4, u: 1, n: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248505*x**2 + x**3 + 248505*x**2 + 2*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/12 - (-6)\/8. Suppose 0*x = u*x + 12. Let g(d) = d**2 + d - 4. Calculate g(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 1. Suppose -2*a = 7 - 13. Calculate the remainder when z is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001101011100110001 (base 2) to base 13\nAnswer: -2c8474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 606959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20622784*w**3 - 77212998*w.\nAnswer: -123736704*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14153 - 103?\nAnswer: 14050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*g + 10, -4*a = -2*g - 0*a + 4. Let u(y) = -31 + 19 - 8*y - y**g + 18. Determine u(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927322211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 91, 90, 87, 82, 75, 66, 55?\n\"Answer: -u**2 + 2*u + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30085770361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2737 and 595.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 1639.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1251, 1315, 1421, 1569, 1759, 1991, 2265?\n\"Answer: 21*a**2 + a + 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 671*c**2 - 58196309*c + 58196309*c. Let f(g) = 2*g. Determine u(f(r)).\nAnswer: 2684*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16848 and 972.\nAnswer: 50544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -4 - (-11)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**3 - 29*g**2 + 33*g + 27. Let m(d) = -d**3 + 7*d**2 - 8*d - 7. Let p(r) = 9*m(r) + 2*t(r). Give p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/13 (b) -14.2 (c) 2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - 0) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.67 - 0.33. Let q = 28 + r. Which is the second biggest value? (a) -0.5 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 18 = -5*d, 2*t - 4*t + 18 = 2*d. Suppose 5*n = d*n - 28. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 105*n**3 - 15*n**2 + 21*n - 7. Determine q(3).\nAnswer: 2756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 5:47 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5808 - 5826. What is the nearest to w in -12, -1, 0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63951 by -4.\nAnswer: -63951\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35938)\/(-15855)*15\/2*1\/(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2\/9, -5, -0.18, 3 in descending order.\nAnswer: 3, 2\/9, -0.18, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242)*1 + sqrt(242))*3 - (sqrt(242) + (sqrt(242) - (sqrt(242) + 1 - sqrt(242))) + sqrt(242))*2) + 5 + -4)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -133226, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636530 >= 1636525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:48 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 10 = 4*s - 33 + 79, -3*s = -2*o + 57 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -248236284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7026*a - 493. Is w(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 30 = -4*x, -2*x - 3*x + 135 = -5*l. Let z = -10 - l. Suppose 2*f = p - 3*p + 20, 0 = p + 4*f - z. Solve -2*c + r + 5 = 2*c, -3*c + 5*r = p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17567 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 the third root of 60029 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045586 a multiple of 874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -1. Let a = -28 - -58. Calculate the lowest common multiple of 50*(d - (-154)\/(-35)) and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s = -4*f - 32*s + 4, -29 = -5*f + s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 2*m + 3. Let j(o) = -5*o**2 - 2*o + 4. Let q be -5 - ((-40)\/(-50))\/((-6)\/15). Give q*j(a) + 4*z(a).\nAnswer: -5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/2))\/(((v\/((v\/v**(-3\/7))\/v))\/v)\/v))\/(v**(-1\/3)\/(v*v*v**(1\/11))) assuming v is positive.\nAnswer: v**(2011\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 7 + -2 + 4. Suppose r*c = 10 + 65. Solve 0*a = -3*a + c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334255591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 24. Suppose 0 = x*s - 8 + 5. Let j(b) = 102*b - 1. What are the prime factors of j(s)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((33\/(-2))\/(-11))\/3)\/((-50)\/(-1900)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b + 9. Calculate w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - b - 21 = 315, -4*b = 2*g - 130. Let h = g - 34. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 7*q + 3*f + 255, 5*f = 2*q - 170. Suppose -8*u + q = -75. Let t be (-4)\/(-3)*3\/2. What is the highest common divisor of u and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 12 = 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.15 - 4.7. Let x = 0.15 - c. Let p = x + -7.999952. What is p rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 7470?\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 1 = -17*u. Let y(x) = -34*x**3 + 8*x**2 + 5*x. Let k(r) = -11*r**3 + 3*r**2 + 2*r. Let a(m) = -8*k(m) + 3*y(m). What is the units digit of a(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 83*t - 1499. Determine w(-54).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 11943280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let m be (-4 + (-1251)\/(-6))*2. Let w(d) = -7*d**2 + 409 - 2*d - m. Determine w(i(p)).\nAnswer: -7*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 8:47 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -19\/5771596 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**3\/3 + 3*n**2\/2 + 7*n - 2. Let h(g) = 1 + 1490*g - 1 - 1487*g. Calculate k(h(p)).\nAnswer: -6*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*a - 2*a + 9, -4*o + 31 = 5*a. Let m(k) = a*k**2 - k**2 + 4 - 4. Let z(v) = -3*v. What is m(z(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 times -1.5?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z + 688. Let p(h) = -8*h + 694. What is -3*m(c) + 4*p(c)?\nAnswer: -2*c + 712","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-208))\/((-3)\/12).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 7. Determine u(13).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*sqrt(5)*-6)**2 + -3 + -2 + (-5 + sqrt(605) + 0)**2.\nAnswer: -146*sqrt(5) + 2246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3764045006 - 3764045006 + 2*p + 3*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47\/29, 4, -2\/3, -1\/3, 1 in ascending order.\nAnswer: -2\/3, -1\/3, 1, 47\/29, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -485 - 481 - i**2 + 9*i**2 + 2*i**2 + 919 in the form r*i**2 + d*i + q and give q.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*k + 4*k - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.38 - 3.82. Let t = d + 29. Let q = t - -2. What is the third smallest value in 0.3, q, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18100.98 to the nearest 100.\nAnswer: 18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3, 37, -5 in descending order.\nAnswer: 37, 3, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2986210.29891 - 2986473.3. Let t = k - -263. What is t rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 17*q**2 - 18*q - 1. Let f be g(18). Let r = 0.02 + -5.02. Let m = 7 + r. Which is the closest to 2\/3? (a) f (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-50)\/(-70))\/(2\/(-14)). Is -63 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 19*s**2 - 6*s - 103. Let n(c) = -9*c**2 + 3*c + 52. Let a(v) = 9*n(v) + 4*p(v). What is the derivative of a(z) wrt z?\nAnswer: -10*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/9)\/1*(-33)\/(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 5*g + 3*g - 3*g + 10, -3*g = 3*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76902 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) -620 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 22*m - 16 = -23*m, 0 = -4*m + 28 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6)**23 assuming a is positive.\nAnswer: a**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-2)*(-9)\/12.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-22\/3)\/((i*(i*i\/(i\/((i*i**(2\/17))\/i))*i*i)\/i)\/(i**(2\/19)*i*i*i)))**27 assuming i is positive.\nAnswer: i**(-108\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*s**2 - 39*d - 16981*s**3 - 351*s wrt s.\nAnswer: 4*d - 101886*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-12)\/(-90))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*l + 11*l**2 + 79*l + 6 - 135687*l**3 + 135678*l**3 as a + z*l**2 + u*l + c*l**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 735*t**3*v**2*w + t**2*v**2 - 2*t + 383*v**2*w wrt t?\nAnswer: 4410*v**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -540*l + 1750. Does 7 divide x(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and -1560.\nAnswer: 43680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8004 divided by -1334.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2828928575*q - 120*q**2 - 2828928575*q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57401\/16 - 3585. Let g be (-2)\/(-4) + (-15)\/(-6). What is the common denominator of 6\/(-100)*(-59)\/g and c?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -13. Suppose 4*d + 1712 = 2*y, 5*y - a*d - 3329 = 951. Is (-4)\/(-18) + y\/36 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 3 = -3*p, -2*p - 4 = 2*p - 5*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 174 - 10. Suppose -5*j + 16 = -c. Suppose 0*r = -3*r + j. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 2*r**2 + 2*r + (6 + 0 - 3)*(-r**2 - 10*r**2 + 5*r + 12*r**2).\nAnswer: r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 124974 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6.4. Suppose -2*r = 4 - 2, -4*x = -5*r - 65. Suppose -16*w + q - 6 = -x*w, 0 = 3*w + q + 10. Which is the biggest value? (a) w (b) o (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0078462 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/((-10)\/(-45)*3*234\/52)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:13 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:03 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c**2)\/c*c)**27)**44 assuming c is positive.\nAnswer: c**5940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*v + 27 = 0, 29 = -l + 4*l - 5*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39292290 divided by -485090.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 152879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23616 + 39057. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*s**5\/4 - 27*s**4 + 343*s**3\/4 - 209*s**2\/2 + 33*s + 10 = 0. Calculate s.\nAnswer: -2\/11, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 10*u**2 + 3*u - 1. Suppose -125 - 135 = -26*r. Determine o(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -30*s**3 - 2*s**2 + 2*s + 2. Let l(o) = -390*o**3 - 27*o**2 + 27*o + 27. Calculate 27*c(g) - 2*l(g).\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(12 + (-470)\/40). Solve 0*f = 5*f + h - 6, m = -3*f + 2*h + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18865450 and 107202?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from ipi?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-37)*k)**37 assuming k is positive.\nAnswer: k**(-1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*c + 10 + 74*c - 152*c + (5 - 3 - 4)*(-3*c + 3*c + c) in the form t*c + z and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzfraqrq. What is prob of picking 1 z, 1 r, 1 a, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*v + 15093015 = 133011115. Round v to the nearest ten thousand.\nAnswer: 1420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118489?\nAnswer: 7, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*m**4 - m**3 - 5*m + 11 wrt m?\nAnswer: -300*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 13 = 12. Suppose 3*n + 736 = 3*h - n, -2*h = l*n - 483. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 143*h + 2*q + 2999, -21*q - 107 = 5*h - 21*q - q for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:38 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-3463.\nAnswer: 1038.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(80)*-2*-2 + sqrt(80))**2 - sqrt(80)) + 1 - ((sqrt(80) + 0 + sqrt(80))**2*3 - (2 + -2 + sqrt(80))**2))*6.\nAnswer: -24*sqrt(5) + 6744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -10921465.\nAnswer: 10921465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -12.19798.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1351502 (base 6) to base 14.\nAnswer: 20022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -7, 9, 41, 95, 177, 293?\n\"Answer: x**3 - x**2 + 2*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/16 and -29\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 12*t + 277. Let k be s(-12). Is k != 1113\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**5 - 20*o**4 - 15*o**3 + 2*o**2 + 13*o + 38 wrt o.\nAnswer: 60*o**2 - 480*o - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + u**4 + 2 - 1 + 3*u**3 + 4*u**2 to y*u**2 + x*u**3 + a + s*u**4 + g*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) 0.1 (c) 119 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*y + 106. Let i = 575 + -332. Suppose -3*b - 135 = -2*a, -i = -4*a - 5*b + 2*b. Calculate the greatest common factor of a and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d - 4. Let c be -13 - 0 - (-5 - 10). Let v(q) = -16*q + 13. Determine c*v(n) + 7*m(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/3 + 1874*d**2\/3 - 3742*d\/3 + 1870\/3 = 0.\nAnswer: 1, 935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 7370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 316295, 632672, 949049, 1265426, 1581803, 1898180?\n\"Answer: 316377*q - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 28*b - 7. Let m = -4363 + 4370. Let f(a) = -29*a + 8. Calculate m*g(r) + 6*f(r).\nAnswer: 22*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**3\/3 + 3*n**2\/5 - 4*n\/5 - 20. Factor c(y).\nAnswer: 2*(y + 1)*(5*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 19*y**2 - 10*y - 17. Let h be f(20). Suppose -h + 7 = -8*l. Is 152\/7 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8486, -16693, -24910, -33143, -41398, -49681?\n\"Answer: -m**3 + m**2 - 8203*m - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 34*x**2 - 867*x - 256266. Calculate a(-75).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*a, 260*a = 2*p + 265*a + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 17*n - 12*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (3 - -3) + (-2)\/1. Differentiate 36*l**3 - a*l + 2*l - 10 + 45 with respect to l.\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.5831 millilitres in litres?\nAnswer: 0.8615831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 2\/14*(-5124)\/(-122)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0, 7, -1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.021 and -0.49.\nAnswer: -0.01029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 11. Suppose 3*z = 4*n + 18, 3*n = -5*z - 0 + l. Find the second derivative of 21*q**2 - 7*q + 11*q - 7*q**z + 8*q wrt q.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 12\/5*q + 8\/5*q**3 + 18\/5*q**2 + 2\/5 = 0?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 + 24*a**2 + 33*a**2)*(0*a + 6*a + a - a + 0*a + 3*a + 0*a + 3*a - 2*a + (-1 + 1 - 1)*(2*a - a - 2*a)).\nAnswer: 539*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2502 + -2510. Sort -1, 3, a, -11 in decreasing order.\nAnswer: 3, -1, a, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 1, 14, 2 in descending order.\nAnswer: 14, 13, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46759297.\nAnswer: 13, 3596869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*g, 2*o + 0*o + g - 60 = 0. Suppose 0 = 2*y + 26 - o. Let w be (y - -23247)\/((-15)\/(-1000)). What is w rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**27\/j*j*j\/((j\/(j*j**(-26)*j))\/j*j))\/(j**(-2)*j*j**(2\/15)*j))**(3\/25) assuming j is positive.\nAnswer: j**(43\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 4540 = -3*i - 17*f, -4*i + 6050 = -f. Let w = i + -783. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2948, -2867, -2724, -2513, -2228, -1863, -1412, -869?\n\"Answer: p**3 + 25*p**2 - p - 2973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:20 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**5 + 4*i**5 - 4*i**5 + (24*i - 14*i - 135*i)*(-3*i**4 + 2*i**4 + 3*i**4).\nAnswer: -244*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/15 - 22*a**2\/5 - 114*a\/5 - 162\/5 = 0 for a.\nAnswer: -27, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 393398.4 litres in millilitres?\nAnswer: 393398400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.44357 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 446 = 4*a + 3*t - 412, a = -t + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -1789713\nAnswer: 26\/1789713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.016 - -0.006. What is the third biggest value in 2\/3, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2883549, 2883548, 2883547, 2883546, 2883545?\nAnswer: 2883544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 - -2. Let z = -646.7 + 646.3. Put b, z, -2, -0.1 in ascending order.\nAnswer: -2, z, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 1231*l - 543715. Give k(345).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/720 + 3*w**5\/40 - w**4\/12 - 15*w**2. Let u(b) be the second derivative of y(b). Determine u(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94207942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w + 28*w + 2*u = 6, -2*u = 5*w - 30. Let 0*l + 0*l**3 - 3\/4*l**2 + 0 + 3\/4*l**w = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 58*h - 1. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7 + 3 + 0*r - 3*r**2 - 1 - 3*r. Let h(u) = u**2 + 2*u + 2. Let z = 1674 + -1669. What is z*h(a) + 2*j(a)?\nAnswer: -a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20 - -19)*(1 - 0). What is the closest to -1\/3 in r, -0.1, -0.2, -0.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 12*c + 10. Let w be y(-11). Let g = w - -4. Solve 5*s - 2*t = 4 + 3, g*s = -3*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1455869 and 21838049\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c + 1. Suppose 0 = 4*q + 4*u - 20, -4*u = -2107*q + 2103*q + 60. Calculate the remainder when m(-2) is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90 + -4?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 9. Let d = 0.17 - 0.57. Let a = 1.6 - d. What is the nearest to r in 0, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*n**2*o**3 + 27*n**2 - n*o**2 - n*o - 4*o**4 wrt o?\nAnswer: 60*n**2 - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**(-1\/7)\/(v*v**2)**26)\/(((v*v**(-2\/23)\/v*v*v)\/v)\/v**(4\/13))**(-3\/14) assuming v is positive.\nAnswer: v**(-652229\/8372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4437*u + 612308. Calculate b(138).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10136 - 46848 = -242*k - 9068. Calculate the smallest common multiple of k and 234.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) -0.4 (c) 198\/13 (d) 0.6 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = -0. Suppose q + 11*q = 168. Let a = q + d. Calculate the lowest common multiple of 9 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3630 = 2*r, 5*r = 2*r + a + 5441. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -430\/6543 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Let r(d) be the second derivative of 1\/20*d**5 + 0*d**j - 2*d + 0*d**3 + 1\/12*d**4 + 0. Find the third derivative of r(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9022 + 9022 + 24*w**3.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 97*g**2 - 36*g + 561. What is w(-49)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 847, 1690, 2535, 3382, 4231, 5082, 5935?\n\"Answer: d**2 + 840*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31414 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257095?\nAnswer: 5, 51419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224052128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwrr. What is prob of sequence ww?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 2. Calculate the remainder when 12 is divided by c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-259)\/148*(-1)\/7*3 and -49\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1339, 1347, 1367, 1405, 1467, 1559?\n\"Answer: l**3 + l + 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 435470755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 180?\nAnswer: -13\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1573) - (3 + sqrt(1573) + -2))**2 - ((sqrt(1573)*3)**2 - sqrt(1573))*-4) + (sqrt(1573) + 0 + sqrt(1573) + sqrt(1573) + -3)**2*4*4).\nAnswer: -16060*sqrt(13) + 1416425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2. Let j be b(1). Let z(c) = c**3 + c**2 + c - 2. Calculate z(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 6*m**2 - 3*m**2)*(-1254 + 626 + 630 - 217*m + (3 - 3 - 2*m)*(-1 + 1 + 1)).\nAnswer: -657*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 214864\/2066*2\/32*12\/2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -135, -376, -723, -1176, -1735, -2400, -3171?\n\"Answer: -53*r**2 - 82*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1573)*1.\nAnswer: -44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206 - -120. Let p = 443365\/5196 - -9\/1732. Let d = u + p. What is the nearest to 2\/7 in d, 4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*l + 5810 = 1682 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 7*u**2 + 5*u + 1. Let k = -11 + 16. Suppose 3*w - 12 = 15*w. Let x = w - k. Give c(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 2*v**3 - 69*v**2 + 92*v + 67. Let b(s) = -s**2 + 3*s + 2. Let m(n) = -10*b(n) - d(n). Let m(r) = 0. What is r?\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 0*u**2 - u**2 + (0*u + 26*u + 8*u)*(-u + 3*u - u)*(-1 - 2 + 1).\nAnswer: -70*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34104013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -109 (b) 61 (c) -1\/17 (d) 216\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3728*b + 113*b**3 - 2*b**2 - 3743*b + 13*b**3.\nAnswer: 126*b**3 - 2*b**2 - 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 269, 1 in descending order.\nAnswer: 269, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Does 7 divide (3 - b\/1)*21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1756, -3511, -5266, -7021, -8776, -10531?\nAnswer: -12286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**2 - 5*b - 2. Let q(i) = -i - 3. Suppose -4*d + 3*d - 3 = 0, 5*d + 19 = -r. Let t = 7 + r. What is t*z(v) - 5*q(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osoooooooosoooooos. What is prob of picking 2 o and 2 s?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-1\/3))**(-10\/3))**(-31))**(1\/9))**26 assuming c is positive.\nAnswer: c**(32240\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13492 divided by 6746?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 170160 rounded to the nearest 1000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 350 (b) -4\/9 (c) 2\/9 (d) 0.1 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142937 is divided by 63?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 52*i - 1438. Calculate q(28).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c - 12. Let r(a) = -a**3 + 8*a**2 + 8*a + 4. Let f be (-2 + (0 - -3))*45\/5. Let h be r(f). Sort h, -2, c in descending order.\nAnswer: -2, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (8 - 2) - (10 + -6). What is the third derivative of -2*g**4 + 7 + 12*g**3 - 2 + j + 3*g**2 - 4*g**2 wrt g?\nAnswer: -48*g + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 23. Suppose -u - 3*x = -h, 3*x + 20 = 8*x. Suppose 3*a - y = 8, -4*a + 1 + 3 = 2*y. Put u, a, 3 in decreasing order.\nAnswer: 3, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Let m(c) = -c + 7. Let v be m(4). Let r(s) = -3*s + s - 2*s - 2*s**2 + v*s**2 - 2. Give r(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) + -3 + sqrt(363))*1.\nAnswer: -9 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:55 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6724 and 28558960?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0*u**3 + 2199 + u - 4321 - u**3 - 29*u**2 + 2140. What is z(-29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 4}. Give prob of sequence zz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 269, -0.5?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 8 = -2*m, 13*m - 12*m = -2*k + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -38 + 40, 3*g = s - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146.845 - 147. Let b = z - -0.405. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184729?\nAnswer: 31, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (26 + 3)) + -15 + 32 + (15 - 36)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*n = -130*n + 11330 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3912 or -8\/839?\nAnswer: -8\/839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744 divided by 67.\nAnswer: 744\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 165*s**2 + 186*s + 45. Let l(n) = -164*n**2 - 186*n - 44. Let r(y) = -12*l(y) - 11*m(y). Factor r(g).\nAnswer: 3*(g + 1)*(51*g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1101 - 1098. What is the closest to -1 in -0.01, 1\/3, r?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36389 + -36393. What is the fourth smallest value in 0, t, -27, -1\/4, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239207907.\nAnswer: 3, 79735969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4713 + -25053?\nAnswer: -30766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9579 + -6285. Let k = -1942 + t. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-3))\/(12\/(-18)). Which is the closest to 0.1? (a) 0.3 (b) y (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - 19*h + 107*h**2.\nAnswer: 107*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.3, 425511?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/10 - (-2)\/(-5). Let k = -3.28 + 0.08. Let z = k - -3. Which is the third biggest value? (a) z (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/(-2) - (-5)\/((-10)\/3). Suppose -a - 36 = -u. Calculate the greatest common factor of 352 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -11 - (3 - 1 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, 2, -52 in decreasing order.\nAnswer: 4, 2, 1, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374 = 62*k - 4*o, 4*k - 19*o + 21*o = 6*k - 42 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 - -7)\/(-7))\/(4\/(-20)). Solve 3\/5*q**2 - 3\/5*q**4 + 9\/5*q**3 - 9\/5*q**j + 0 + 0*q = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(14)*2)\/(sqrt(7) + sqrt(28)*5).\nAnswer: 10*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(833)*-2 + 1 + sqrt(833) + 1*sqrt(833) + -5)**2*-1.\nAnswer: -563124 + 1456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + 76\/(-10). What is the remainder when 95\/4 - 2\/h is divided by (-4)\/(-10) - (-441)\/35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 7*w**3\/6 + 5*w. Let i(b) = 7*b + 6. Let s(p) = 10 - 10 - 32 - 36*p. Let a(y) = -16*i(y) - 3*s(y). What is a(q(g))?\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8269580 to the nearest integer?\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s - 1306*s**3 - 4 + 1305*s**3 + 2 + 0 - 5*s**2. Let i be k(-2). Suppose -i*d = -5 + 1. Solve -d = -3*t + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136 - -9. Let w = m - -128. Let a = -0.004 - 3.996. What is the smallest value in w, a, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 4. Let v(l) = l**3 - 6*l**2 + 4*l + 2. Let d be v(5). Let p be n(d). Let y = -10 + p. Solve 0 = -3*g + 2*g + 5*b - 9, -b = 2*g - y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose v = z - 2*z - 5*x + 38, -4*z + x + 110 = 0. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78257 is divided by 13027.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-102))\/(6\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44565 by 8913.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/60 - 5*d**4\/24 + d**3\/6 + 6*d**2. What is p(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/(-16)*56\/(-126).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*-142.09.\nAnswer: -5541.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b - 12 = 0. Let l(g) = 985*g**3 + 4*g**2 + 6*g + 2. Let z be l(b). Let p be (-6)\/(-9)*3 - z. What is p rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-2*(58\/(-84))\/(-29)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 871086*q. Let t(b) = -308*b**2. Determine u(t(z)).\nAnswer: -268294488*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -6, -5, 1\/7 in descending order.\nAnswer: 1\/4, 1\/7, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 338530\/3 or 112842?\nAnswer: 338530\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a + m - 10, 5*m - 12 = -3*a. Let h(p) be the second derivative of 0*p**3 - 2*p + 0*p**2 - 1\/12*p**a + 0. Let v(l) = 10*l. Determine h(v(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Solve f*b + 4 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2749032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let d = -2885.14 + 2885.1. Let t be -2*(14\/(-6) - -2). Sort t, d, -5, l.\nAnswer: -5, d, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3511441357\/3818 + -919707. Calculate the common denominator of n and -32\/207.\nAnswer: 34362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/5982495 or -1?\nAnswer: 7\/5982495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -17. Suppose -4*t + b = -15. Let m = 11 - -99. Calculate the greatest common factor of m and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (12 - 6) - (-58 + 36)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 + 0*l**2 + l**2 + (-2*l - 4*l + 4*l)*(1 + 2*l - 1) - 36*l**2 + 72*l**2 + 6 - 47*l**2 to j*l**2 + w*l + f and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -618954 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 0 in decreasing order.\nAnswer: 5, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -122011?\nAnswer: -122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73404, -73433, -73472, -73521, -73580, -73649, -73728?\n\"Answer: -5*d**2 - 14*d - 73385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -30.99\nAnswer: -31.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 + 44. Let i = r + 31. Let b = -19.99999978 - i. Round b to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -146.15 and 6.\nAnswer: -876.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oors when four letters picked without replacement from eorrbrnoebseo.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/23? (a) -1\/2 (b) 1\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 5*w**2 + 0*w**2 - w**3 + 0*w**2.\nAnswer: -w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-47)\/846)\/(2\/(-18)))\/((-8)\/48).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3365\/13 - -259. Let r = 44\/39 - -8\/39. What is the fourth biggest value in 0, p, r, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*2 - sqrt(11) - ((sqrt(44)\/sqrt(4))**2 + 3) - 3*(-4 + sqrt(396))**2.\nAnswer: -1250 + 155*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2330 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322945946 to the nearest integer?\nAnswer: 17971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u + u - u - 1 - 2*u + 4*u + u - 1 + 1 - 2*u + (2 - 2*u - 2)*(6 - 3 - 1).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f. Let g(c) = 33*c - 2. Let d(q) = -2*q. Let z(h) = 2*d(h) - g(h). Calculate z(m(l)).\nAnswer: 259*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or 78554?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 120\/83 (b) -0.08 (c) 274\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329927 is divided by 6177.\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.095 - 0.095. Which is the second smallest value? (a) o (b) 1\/3 (c) -3\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 103, -3, 1090, 0?\nAnswer: 1090","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*b - 15 - 153*b - 146*b.\nAnswer: -411*b - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 16 + -27 + 1 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 i when three letters picked without replacement from jjiejjijejjjjjejijj?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-184 + 184 + 101*r**2)*(-1 - 2*r + 1) - 3*r + 3*r + 11*r**3)*(-3 + 2 + 3).\nAnswer: -382*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -2, 219, 5, -3, 3.\nAnswer: -8, -3, -2, 2, 3, 5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 258 + -257.777. Let n = -60.123 + s. Round n to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 1. Let v be (-6)\/27 - 25\/27*3. Let l(x) = 5*x - 2. Give v*l(f) + 4*p(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 5*l + 5, 1 - 2 = r - 3*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:18 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + i - 15. Let o be z(-5). Let r = 0.01 - -0.02. Let k = 0.27 + r. What is the second biggest value in 1\/12, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(-13\/3))**(-18)*(h\/(h**(-4\/11)\/h)*h*h)**(-44) assuming h is positive.\nAnswer: h**(-324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/672*7\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4786910111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**0*k)**(-30))**(-15)\/((k\/k**(3\/2))\/(k\/(k**(-9\/4)\/k)*k))**(-4\/35) assuming k is positive.\nAnswer: k**(62977\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82007929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 745085699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/180 and -99\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**4 + 265*x**3 + 505*x**2 - 265*x - 510 = 0.\nAnswer: -51, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5 - 79*r**4 + 77*r**3 + 79*r**2 - 78*r = 0.\nAnswer: -1, 0, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 940 = 4*d, -4*d + 727 = -t - 233. Let x = d - 131. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -41*t**2 + 5. Let g(x) be the first derivative of -184*x**3\/3 + 23*x + 2. Let k(n) = 5*g(n) - 23*s(n). Let r(b) = 2*b. Calculate k(r(u)).\nAnswer: 92*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29081 and -116.\nAnswer: -29197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-2 + -8 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3976 or -3979?\nAnswer: -3979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 39*m - 335. What is u(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + 0 + (-19 - -12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 7.5. Let j = -0.2 - d. Let i = -1338 + 1338. What is the third smallest value in j, -3\/5, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31602.9608 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220100210 + 1220002?\nAnswer: -2211110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*w - 20, -4 = -5*w + 2*z + 23. Suppose -3*o - 5*x + 1192 = 0, -w*o = x + 4*x - 1970. List the prime factors of o.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89 (base 14) to base 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + 29 + -79 + 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1) + 9 - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005334 to six decimal places.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 17 - (13 + -10 + -2 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let l = 6 + -7. Sort 2, t, l in descending order.\nAnswer: 2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - 5328\/(-54). Let n = 26 - 17. What is the highest common factor of x and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146\/(-3)*2*(-6)\/8.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*s - 55*s - 640. Suppose 2*q + 3*k = k + s, -4*q + 249 = -3*k. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1710 divided by -171.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**7\/840 - 11*z**6\/360 - z**5\/15 + z**4\/2 + 10*z**3\/3 - 17. Let x(s) be the third derivative of n(s). Calculate x(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7600 is divided by 495.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, 0.1, -182?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 316\/9 - 35. Let l = -4.8 - -5. Which is the closest to l? (a) h (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1264 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2629.\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1512 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 9. Let y be m(6). Suppose 4*q = -y*b + 39, -2*q - 4*b = -8 - 14. Calculate the remainder when 10 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 20*r**2 - r + 2. Is v(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 + 3*u + 4. Let i(v) = v**2 - v + 1. Let x be i(2). Let h be c(x). Solve -3 = 2*w - h*s - 1, -4*w + 5*s = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276949 to the power of 1\/2, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5317, -36886 in descending order.\nAnswer: 5317, -5, -36886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 4*z**3 - 94*z + 400*z.\nAnswer: 2*z**3 + 306*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 3*v**2 - 2*v - 2. Let n be s(-3). Suppose 5*q - 90 = -2*o, -n*q - 28 - 4 = -o. Suppose o = 2*u + 2*u. Solve 4*d + u = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/10, 0.2, -3\/2, 3\/2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.05021345 to 0 dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 9. Let f(a) = -a - 11. Let y be f(-6). Let m be l(y). Suppose -m*s = -4*s - 252. Solve 4*v - s = -1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = d + 1, -1 = -5*d + 2*k. Let j be 5*(-1 - 0)*d. Let b(n) = n**2 - 10*n - 504. Let i be b(28). Sort i, j, 4 in descending order.\nAnswer: 4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/153 and 45\/1292.\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-9)*(m\/(m\/(m*m*m**7)))\/m*m**9*(m\/m**(-3\/4))\/m)**(-4\/23) assuming m is positive.\nAnswer: m**(-111\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = -39*c + 67 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -372.5669*0.3\nAnswer: -111.77007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 - 2*h**2 + 2*h + 1. Let j(k) = 10*k**3 + 7*k**2 - 7*k - 3. Let v = -29 + 27. Let a = 0 - -7. Let r = -14 + a. Determine r*p(t) + v*j(t).\nAnswer: t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -128, -241, -332, -389, -400, -353?\n\"Answer: 2*c**3 - c**2 - 124*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269685625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385 = 172*v + 368 - 4021 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 26. Suppose g = -3*j - 5, -j + q*g - 35 = 4*j. Let x = -2 - 2. Which is the nearest to j? (a) 3 (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 39*p**5\/5 + 5*p**2 + 19. Find the second derivative of u(o) wrt o.\nAnswer: 468*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*p**4 - p**3 - 646*p wrt p.\nAnswer: -168*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53b17 (base 14) to base 6.\nAnswer: 4201241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.5. Which is the second smallest value? (a) h (b) -8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -127*x + 1148. Let y be z(9). Solve 7 = -2*a + y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3\/3 + 244*i**2 - 1272*i - 10528\/3 = 0. What is i?\nAnswer: -188, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -239*o**5\/20 + 359*o**3 + 81*o + 3. Find the second derivative of r(u) wrt u.\nAnswer: -1434*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -1194824.\nAnswer: -1194820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22add3 (base 14) to base 9.\nAnswer: -2202258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 3, 66*a + 2 = g + 63*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/15 - 11*o**4\/24 - 14*o**2. What is the second derivative of f(b) wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 8 - 49*u**2 + 14 + 12 + 8 + 2*u + 14.\nAnswer: -49*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3.5. Let k = g - 0. Let n = 1 + -0.5. What is the closest to -1 in n, k, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13115111 and 0.3?\nAnswer: 3934533.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-2\/5))**28*(n*n**(1\/30))\/(((n*n*n\/(n*n**(-1\/10)*n)*n)\/n*n*n)\/n))**(-5\/4) assuming n is positive.\nAnswer: n**(-248\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15)*-10*(-5)\/110?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5956406 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g. Let i be t(1). Suppose i*k = 902 + 21773. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -108, -9, 178, 483, 936, 1567?\nAnswer: 2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4988280 and 113370?\nAnswer: 4988280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.7 + -0.7. What is the second biggest value in 4\/5, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11279*a**3*i - 2*a**3 + 216105*a*i wrt a.\nAnswer: 67674*a*i - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/7, 2, 2.24, 1\/4 in ascending order.\nAnswer: -2\/7, 1\/4, 1, 2, 2.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 - 4*o + 2023. What are the prime factors of r(0)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12128 and 6064?\nAnswer: 12128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -0.5, 0.038, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 509790*q**5 - 555*q**2 - 163*q wrt q.\nAnswer: 30587400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 + 69.76. Let x = -69.914 + q. What is x rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7241 and 1146373397?\nAnswer: 7241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177703 and 4579599?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38794.4 + 38852. What is a rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108910.6 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 c when three letters picked without replacement from dsdchsddfsd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.00286 + -1.00286. What is the nearest to d in 3, 1.1, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3103860593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 > -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 1628\/355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -10169059.93.\nAnswer: -10169053.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let c(d) = 100*d + 304. Let o be c(-3). Solve -4*p - o = -w*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = c - 226 - 202, 4*a = c + 566. Does 71 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3237 - 370?\nAnswer: -35a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 83\/(664\/44)*(-2)\/(-1)*-1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 8*t - 2. Let o be (-2 - t)\/(1 - -1). Factor o + 0*u**2 + 0*u + 0*u**3 + 2\/9*u**4 - 2\/9*u**5.\nAnswer: -2*u**4*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d = 37*d + 3*g + 1081, 2*d - 3*g = 533. Solve d*q + 66 = 263*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167236 (base 15) to base 12\nAnswer: 445243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -441747 rounded to the nearest 1000?\nAnswer: -442000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/12752 and -17\/64?\nAnswer: 51008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4697 and 2135?\nAnswer: 23485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2126, 4, -1787 in ascending order.\nAnswer: -1787, 4, 2126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 58646910*x - 171973002627405.\nAnswer: -5*(x - 5864691)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -4. Let o = a - -1.9985. Let y = o - 0. What is y rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 31*i + 15. Let w(d) = -3*d**3 + 2*d**2 + 6*d - 15. Let x be w(2). What is the hundreds digit of b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 27*w**2 + 31*w + 42. What is the units digit of u(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1819893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -404.268 - -291.08. Let u = p + 0.188. Let l = -112.9999951 - u. What is l rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 + 2. Let b(d) = -d - 10. Let x be b(-10). Which is greater: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*5222\nAnswer: 365.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1400830193?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*((sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 1)) - sqrt(1088)) + sqrt(1088) + 4).\nAnswer: -48*sqrt(17) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -313.9860001 to two dps.\nAnswer: -313.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80671*n - 1243 = 80558*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048558701 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -358, -2908, -9836, -23332, -45586?\n\"Answer: -365*z**3 + z**2 + 2*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*8.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*k**5 + k**4 + 209*k**2?\nAnswer: -1980*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 125\nAnswer: -4\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31765 and 845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**3 + 95694099979*p - 95694099979*p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304806 is divided by 436?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 32*l**3 + 7*l**2 - 13*l - 16. Is c(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (160\/25 + -2)*5. Suppose 4*n - g + v = 8*n, 4*g = -n - 2. Calculate the least common multiple of n and 58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3455968?\nAnswer: 2, 107999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -73, -112, -151, -190, -229?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6*18)\/2. Let x(z) = 79*z - 2. What are the prime factors of x(l)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 515080 from -8.\nAnswer: -515088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 6 = -3*s, 4*k + 5 = -3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + (-4 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 2 in decreasing order.\nAnswer: 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -616, 1\/3, 29\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2443.28503 and -5?\nAnswer: 2448.28503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*z - 64 = -32*z - 44*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-59285)\/(-55) + 2 + 210\/(-110)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(2*sqrt(12)) - (sqrt(726)*-2 + sqrt(6)))\/((sqrt(72) + sqrt(72) + sqrt(72)*-1)\/sqrt(6)).\nAnswer: 43*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15*(-3 + 8\/3)*1. Suppose 2*y = 10 - 4, 0 = -3*b - 4*y + 69. Let l(m) = 4*m - 3. Let o be l(2). Solve -h - o*f + 1 = b, -f = -k*h + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 5. Let d(k) = 2*k - 5. Suppose 0 = 143*g + 10*g + 67*g - 660. Give g*r(i) + 2*d(i).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, -1\/5, 122794 in descending order.\nAnswer: 122794, 255, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 + 140480*s**2 - 7*s**3 - 145141*s**2 + 6*s**5 - 17*s**3 wrt s?\nAnswer: 420*s**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(32) - (5 + (sqrt(2) - sqrt(2)*-3) + sqrt(2))**2 - 5*-5*sqrt(6)\/sqrt(3)*5.\nAnswer: -75 + 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4\/5, 8.2, -1.1 in decreasing order.\nAnswer: 8.2, 2, 4\/5, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*((3*sqrt(156) + sqrt(156))*-1 + sqrt(156)))\/(((2*sqrt(120) + sqrt(120))*-4)\/(-1*sqrt(10)*-1)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*i - 2\/3*i**2 + 4\/9 + 2\/9*i**4 - 2\/9*i**3.\nAnswer: 2*(i - 2)*(i - 1)*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14327, -57300, -128917, -229178, -358083?\nAnswer: -515632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 14.55. Let i = 0.05 + v. What is the smallest value in -0.3, -3\/4, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 526659378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*p + 3)*(3*p**3 + 0*p**3 - p**3) + 106*p - 54*p - 51*p - 10*p**4.\nAnswer: -16*p**4 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(1\/5))\/(x*x\/x**(5\/4)))\/(x**(-2\/13)\/(x\/((x**(-2\/7)*x)\/x))))\/(x**(-5\/6)*x**(-11))**(2\/47) assuming x is positive.\nAnswer: x**(511471\/256620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 10 = n, 0*n = -n - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 352 = 11*c. Let z = 4 - 16. Let q be (-2)\/(c\/z + 2). Solve 0 = 5*a - 25, i + 2*a - 18 = -q*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05035 and -106?\nAnswer: 105.94965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -21*h**2 - 20*h**2 + 72*h**2 - 70*h - 26*h**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(200) + 0 - (-4 + (sqrt(200) - (-2 + sqrt(200))) + sqrt(200) + sqrt(200)))**2.\nAnswer: -40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.8 + -59.9. Let j = 13.04 + f. What is j rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 32. Let h be ((-3 + 3)\/j)\/3. Solve h = 4*u - 7*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 24*f**2 - 23*f**2 - 30 + f**3 + 2*f - 23*f**2. Calculate the lowest common multiple of 21 and z(22).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 4*n**3 - n**3 + (1041*n**2 + 449*n**2 - 226*n**2)*(0*n - n + 3*n) as z*n + j*n**2 + y*n**3 + f and give y.\nAnswer: 2532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 521260.2 seconds in minutes?\nAnswer: 8687.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2912\/490)\/26*((-35)\/(-2))\/(-7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u = 41*u + r + 1, -3 + 7 = -17*u - 3*r - r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = 2*a. Let x = a + 42. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/186359777 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 62449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 times -0.5?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, i: 2, h: 4, r: 2}. Give prob of sequence ah.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*k + 18 + 24 - 47)*(-k + 3*k + 3*k) as p*k**2 + v*k + b and give p.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130 - ((-3)\/(-1) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153795 and 41925.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023391?\nAnswer: 1023391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g + 487*g + 349*g = 24780 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v - 70 = -52*v. Let k(n) be the first derivative of n**2\/2 - 7*n - 1. What is k(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2926*o + 29260. What is z(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 71309.\nAnswer: 1782725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 5*m + 5. What is r(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 22*a**2 + 3*a. Let s be k(-3). Let y(f) = 31*f - 13. Let j be y(2). Let o = j - 22. Calculate the highest common divisor of o and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5487604787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnlpn. Give prob of sequence np.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 33262*x + 1097652. Give t(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/25*(-15)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**2 + 5*i + 48 + 442 - 175.\nAnswer: -19*i**2 + 5*i + 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2. Let k(o) = -96709917*o**2. What is w(k(h))?\nAnswer: 9352808046146889*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1103*a - 5*x = -1105*a + 48350, 3*a - 5*x = 72510. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1196*a**3 + 2 - 1205*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, m: 9, n: 4}. What is prob of sequence nnlm?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/12*28\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 54*j + 10043 = 3947. Calculate the remainder when j is divided by 78.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 7\/3, -58\/5, 2, -233?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 431314024 - -14?\nAnswer: 431314043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88853*k*m**3 - 2*k*m**2 - k*m - 4*m**3 + m**2 + 284*m - 2 wrt m.\nAnswer: 533118*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 386.9233 - -0.0767. Let l = -235 + p. Let j = -151.999937 + l. What is j rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6559, 11, -2\/31 in decreasing order.\nAnswer: 6559, 11, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*s + 32, 3 = 2*s - 5*x - 11. Let p = s + -18. Calculate the common denominator of ((-16)\/24)\/((-2)\/p) and 38\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59050396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47 - 6*(-2)\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*h - 0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 50610*l**2 - 50610*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*b = -265, 3*b - 67 = -2*y + 39. Let u(h) = -y*h + 96 - 52*h + 104*h. What are the prime factors of u(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 12*l**2 - 14*l + 15. Let m be q(13). Let u = 1 - -3. What is the third derivative of -3*t**5 - t**m + u*t**5 - 3*t**2 wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f. Let m(k) = -80*k. Determine m(g(z)).\nAnswer: -240*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -289, -192, -6, 4.\nAnswer: -289, -192, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4652*p - 3923*p - 58320 = 0 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 4*w**2 - 4*w - 10. Let x be u(-4). Let z = -6 + x. Suppose 3*c - s = 38, 0 = 5*c - z*c - 2*s - 64. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2613, 1, 9 in ascending order.\nAnswer: -1\/3, 1, 9, 2613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*((-7740)\/486)\/(-43).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d - d - 4*d - d + 4*d - d + (-6 + 2 + 2)*(d - 4 + 4) - 4*d - d + 4*d + 4119 - 4119 - 419*d + 5 + 6*d - 5 as p + c*d and give c.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46241?\nAnswer: 13, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21040430 (base 5) to base 2.\nAnswer: -101010100110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76819 + -25076. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*v*x**2 - v*x - 5*v - 2*x**2 + 42 wrt x.\nAnswer: -48*v*x - v - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15513569.6 rounded to the nearest 1000?\nAnswer: -15514000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16783 is divided by 3344?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose m = 2*r - 4*r - 4. What is the units digit of (0 - r) + (-7 - -2) + 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/944 and 41\/21275754.\nAnswer: 170206032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + 145. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 447449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c - 8. Calculate v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-100)\/30*6\/5. Let g(s) = -s**3 - 3*s**2 + 3*s - 3. What is the units digit of g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10433*b**3*y**2 + 10*b**2*y**2 + 5*b**2 - 2*b*y**2 - 7*y wrt b?\nAnswer: -62598*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iltkiuu. What is prob of sequence kui?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*a + 187048, a - 312632 = -3*g + 248498. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 6*d + 4 - 4*d**2 + 10*d**3 - 2*d. Let f(s) = -s**2 + 14399 - s - 14398 - 2*s**3 + 3*s**3. Let r(q) = 6*f(q) - p(q). Factor r(i).\nAnswer: -2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 99.28. What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 44*k**2 - 105*k - 509. What is y(-46)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/6*(0 - -12). Suppose 5*u - u = i. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -27. Sort 3, -2, u.\nAnswer: -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 2*l**2 + 4*l + 1. Let u be m(-2). Let h be (-6 - -4) + u\/(-7). Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2645 times 164784?\nAnswer: -435853680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -15, -18, -5, 30, 93, 190?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5 - 8*n**4 + 4*n**3 + 22*n**2 - 5*n - 14 = 0. What is n?\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 - 341361*y**2 - 23539830*y - 23198472 = 0. Calculate y.\nAnswer: -113718, -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 226, 2\/3, -14606?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012252079 rounded to six decimal places?\nAnswer: -0.001225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64, -264, -598, -1066, -1668?\n\"Answer: -67*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/12 + u**4\/24 - 2*u**3\/3 - 5*u**2 - 11. Let n(w) = 9*w**2 + 3*w - 7. Calculate -3*n(o) + 5*x(o).\nAnswer: -2*o**2 - 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 408*f*m**3*y + f*m*y - 66*f wrt m?\nAnswer: 2448*f*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c**2 - c + 1. Let q(y) = -5*y**2 - 3*y - 1. Determine b(v) + q(v).\nAnswer: -v**3 - 6*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -35. Let w = z - 11. Let k = w + -17.99999888. What is k rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 320 = 4*b. Let j be (-10)\/(-15) + ((-136)\/(-3) - 2). Let r = j - b. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 2, p: 2, z: 6, l: 3, w: 2}. Give prob of sequence app.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -2) + 21 + -13. Let p(h) = -8*h - 11*h + d*h. Let g(u) be the third derivative of -u**5\/30 - 2*u**2 + 4*u. Give p(g(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 3*a + (-1 + 4 - 1)*(a + 3*a - 2*a) + 0*a - 2*a + a + a + 0*a + a - 2 + a + 2 + 0*a + 5*a - 4*a - 2*a - 1 + 1)*(49 + 11 - 23 + 32).\nAnswer: 276*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -4.705\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15 = y, 5*d - 4*y - 49 = -4. Suppose d*j - 4 = 6. Find the third derivative of 85*l**3 - 85*l**3 + 8*l**2 - j*l**4 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6745196 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10)*(11 + -6). Let p be (4 + (-1 - m))*29. What is the highest common factor of 87 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 2. Let l be (-5*2)\/(-2) + 0. What is h(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49978*n = -49964*n + 126 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054071563 to 5 dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-18*15)*(-41 + 21 + 26).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 3. Let n(r) be the second derivative of -r**3\/6 + 5*r**2\/2 - 162*r. Let i(y) = 6*n(y) + 7*v(y). What is i(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuauuu. What is prob of sequence auuu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 8*r - 339. Let c be w(-23). Solve u - 10 = 5*d, 2*d + 3*u = 7 + c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26267 - 25426. Which is smaller: 843 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i + 130860 - 131010 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505 or -511?\nAnswer: -511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 60 = -11*g. Let t = g + -7. Suppose t*l - 7 = -5*v, -4*l + 2*v + 48 = -v. What is the lowest common multiple of l and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26104 + 6*n - 13049 - 13055.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*f + 35. Let c = 29 - 27. Suppose j - 4*j - 16 = -5*v, c*j = 5*v - 19. What is the lowest common multiple of f and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 + 60*m**4 - 4032*m**3 - 134946*m**2 - 1027971*m + 1166886.\nAnswer: 3*(m - 42)*(m - 1)*(m + 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 - 616*y**2 = 0 for y.\nAnswer: -154, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 + 271*l**2 + 181*l - 2. Calculate n(91).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.032 - -0.081. Let j = -0.193 + i. Which is smaller: -2\/9 or j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/16 - -9)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 1, u: 4, n: 3, y: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 9:56 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 179*k + 6*k**2 - 10 - 335*k + 168*k. Let d be h(1). Solve -3*z + d*z + 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 36*d + 47. Give c(-36).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 424008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 + 22. Let f be p(0). Let a = -19 + f. Solve -l + 0 + a = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*-9.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*m**2 - 27806*g**2*m + 2*g**2 + 27*g*m + 38*g + 4*m**2 wrt g?\nAnswer: 4*m**2 - 55612*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 3*u**2 + 5*u + 3. Let g(j) = -4*j**3 + 7*j**2 + 9*j + 7. Determine -3*g(l) + 7*p(l).\nAnswer: -2*l**3 + 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*w**2 - 41 - 463 + 186*w**2 + 56 - 376*w**2.\nAnswer: -3*w**2 - 448","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + g + 25 = 0, -2*i - 227*g = -228*g - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 - 158. Which is bigger: m or -25?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*x - 70 + 482 = 0, -2*h - 2*x + 176 = 0. Let k = 418\/5 - h. Let g(p) = -p**3 - 2*p**2 - p - 2. Let r be g(-2). Which is greater: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*u + 182*u + 4*k - 574 = 0, 96*u - 1044 = -4*k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -686 - -923. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/30 - i**5\/20 + i**4\/12 + i**3\/3 + 28*i**2. Let h(z) = z**3 - z**2 + z + 1. Give -c(n) + 2*h(n).\nAnswer: -2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 2*y - 4 + 2, -5*z - y = 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -56 (c) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22.5 - -8283256233\nAnswer: 8283256210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 95*v**2 - 39*v + 31. Let r(m) = -47*m**2 + 21*m - 17. Give -11*r(g) - 6*u(g).\nAnswer: -53*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/4 in 0.5, -0.05, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9880139cm in millimeters?\nAnswer: 9.880139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 397*j**2 + 1065*j + 53970. What is z(400)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2809149 to the nearest ten thousand.\nAnswer: 2810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 0 + (69 - 60). Let x be f + 145\/(-10) + 8. What is the third smallest value in 3, -0.84, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 280 = 3*w + 3*j, -4*w + 224 = -j. Calculate the lowest common multiple of 7 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or -10525\/78?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -297*c + 22462. What is t(82)?\nAnswer: -1892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30914 and 117260?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4\/4 - 1359*d**3\/4 + 6927*d**2\/2 - 4221*d - 25002 = 0.\nAnswer: -463, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**5\/60 + 5*m**3\/2 - 8*m. Let w(n) be the second derivative of b(n). Let s(z) = -5 - 5*z + 5. Give s(w(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20463, 20465, 20469, 20475, 20483, 20493, 20505?\n\"Answer: b**2 - b + 20463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1190, -2392, -3594, -4796, -5998?\n\"Answer: -1202*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3806, -8275, -12744?\nAnswer: -17213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2133*i + 2121*i = -96 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.72*0.5.\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/45 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53208 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -12, 2, 2\/99, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(48)\/sqrt(16) + -1).\nAnswer: -3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 50 + 5*l**2)*(-2*l - l + 2*l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1325922 - 21815.3574078. Let h = -21972 - i. Let c = h + 154. What is c rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-80) - (5\/3 + 3025\/264). Let t(c) = 14*c + 178. Give t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 6*f + 4. Give x(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/3 - 14*a\/3 - 8 = 0. Calculate a.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*s - 337*s - 11 - 1 - 417*s**2 + 170*s.\nAnswer: -417*s**2 + 3*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -35. Let w(m) = -m**2 + 12*m - 7. Suppose r - 20 = -0*r. Calculate the lowest common multiple of r and w(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 52. Give h(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2831 = 451. Calculate the highest common divisor of 833 and y.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3463*p = 1657 + 1806 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 0 - (1808 - 1835)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.485 or -4220?\nAnswer: -4220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 4. Let z be y(6). Let h be z\/9*93\/(-36). Let a = -2\/27 + h. Sort a, 2\/9, -1 in decreasing order.\nAnswer: a, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222252105 to the nearest integer?\nAnswer: 14908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:49 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {x: 5, g: 1, w: 3, z: 11}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/12 - q**3 - 2*q**2 + 7*q. Let s = -20 - -11. Let a(t) = t**3 + 10*t**2 + 9*t + 3. Let i be a(s). Determine k(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.45 + 0.5. Which is greater: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + 6 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2 - 10933*v - 10934 = 0.\nAnswer: -1, 10934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -561.6 - -561.3. Which is the third biggest value? (a) -3\/2 (b) -3 (c) 5\/7 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - 8\/6. Let u = -169 - -1523\/9. Suppose -5*z + 108 - 83 = 0. Which is the nearest to -1\/2? (a) u (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8 - -4) + 1*14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - 4. What is the smallest common multiple of 10 and -2 + s\/(-9) - (-402)\/18?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -610*w**4 - 1253*w**2 + 701*w**4 + 482*w**4 wrt w.\nAnswer: 13752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3 - -4) - 255\/(-289). What is the second smallest value in -1, k, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278799334?\nAnswer: 2, 1321, 484027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 80 = 3*v, -2*v + v + 29*n + 57 = 9*v - 9*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -958, -3973, -9040, -16159, -25330, -36553?\n\"Answer: -1026*c**2 + 63*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12842, 17669, 22496, 27323?\nAnswer: 32150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000000 (base 2) to base 14.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 9, -2.\nAnswer: -2, 4, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 47?\nAnswer: 12\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1932 and 552.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {k: 5, n: 3, d: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 10. Let l be a(-6). Let j(x) = -x**3 - x**2 + 4*x + 4. Let v be j(l). Suppose -5*i = -v - 4. Calculate the greatest common factor of 56 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 * 106054\nAnswer: -5090592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2976 divide 791165548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44540153 + 520?\nAnswer: 44541113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**4\/12 - 21*q**2. Let u(p) = 9*p. What is v(u(m))?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73 and -23682.9.\nAnswer: 1728851.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 7*s - 525 = 0. Let v(d) = -d**2 - 4*d. What is the remainder when s is divided by v(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -1022*k + 1020*k. Solve -m + 59 = -h + k, -2*m = 2*h - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*t = -14, -y + 26 = -2*t + 7*t. Let f be -9*(4 + (3 - y)). Is -2 + (-10)\/(-6) - 3666\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/4 + 4*a**3 - 21*a**2\/2 + 16*a - 491. Calculate q(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:42 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 0.04 (c) -0.134 (d) 264 (e) 30 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 300 = -5*w, -5*y + 3*w + 55 + 237 = 0. Calculate the remainder when 143 is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3913 or -133053\/34?\nAnswer: -133053\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 7 + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2804006*t - 2804011*t = 5*u + 95, -3*u - 4*t = 55 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13254789.51 rounded to the nearest 1000?\nAnswer: 13255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**3 + 3*f**2 + 2*f + 13. Let m be v(5). Let c = m + 1585\/3. What is the closest to c in 4, -3\/7, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/17 + (-7056)\/(-136) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 57992 = t - 3*s, -5*s = 0. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -195\/31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2728 and 8860?\nAnswer: 6042520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11457\/(-15276))\/(2\/(-88) + 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 5. Let p be x(-2). What is the closest to p in -4, 0.09, 5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2453279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35198 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12609 + 29500. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -9279 and -9281 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2271980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 14*t - 15. Let h be o(8). Let a(q) = 20*q**2 + 2*q - 1. Let c be a(h). Find the second derivative of -19*j + 6*j**4 + 0*j**4 - c*j**4 wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/14)\/(29\/58).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 7 = -6*o + 2*g, -o + 5*g = 2. Let c be 6 - ((1 - o) + 4). What is the second derivative of c*t - 42*t + 10*t**3 - 5*t wrt t?\nAnswer: 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49422*6\/4176 - -71?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/6, -1, 76, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) - 39\/6. Let z be (4\/c)\/((-30)\/105). Suppose -60 = -z*i - 3*i. Solve 2*f - 1 = -v - 7, -4*f - 4*v - i = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*g**3*r*y**2 + 7*g**3*r*y - g**3*r - 8*g**2*r*y + 2*g**2*r + 7*g*r*y**2 wrt g?\nAnswer: -66*r*y**2 + 42*r*y - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -384 + 386. Find the third derivative of -9*s**2 + 12*s**2 - 34*s**3 - 5*s**d - 2*s**2 + 4*s wrt s.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14737045\/63 less than -233921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150490 is divided by 75234?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -97 + -a1?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 10:21 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204 - 188 + 89)*(b**2 + 2*b**2 - 2*b**2).\nAnswer: 105*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/u*u*u)**(-9\/7)*((u**(2\/5)*u)\/u*u)\/u*u\/((u**(1\/13)\/u)\/u*u) assuming u is positive.\nAnswer: u**(2812\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:26 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/((-162)\/(-4)))\/((-10475)\/12570))\/(2\/(-12))?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 2*t - 2*t + (-14 - 42 + 13)*(-5*t + 0*t + 2*t).\nAnswer: 123*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -35 - -14 - (102 - (-2 - (-5 + -1)))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 268, 362, 494, 664?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1124401 (base 6) to base 11.\nAnswer: 3a668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 142*n**2 + 570*n - 2480. Give r(138).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3842709 is divided by 3842666?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2614 is divided by 869.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/17 - 236216*l**2\/17 + 5432030*l\/17 - 14170200\/17 = 0.\nAnswer: 3, 20, 118085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j + 108*j - 34*j - 45*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/2 and 16077105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -3*b + 11*k - 381, 10 = 3*b + k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11030021300 - -22?\nAnswer: 11030021322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 2*a**2. Let j(k) = k**2. What is -2*j(b) + x(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -79. Let i be (x\/(-2304))\/(3\/12). Let f = -9\/32 - i. What is the third biggest value in f, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/2 - s**3\/3 + 2*s - 15. Let v = -1 - -4. Calculate the remainder when n(v) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 268 = 12. Suppose 146 + 22 = l*h. Factor h + 1\/3*p**2 + 10\/3*p.\nAnswer: (p + 1)*(p + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 - -76.3. Let n = g + 3.9. What is the second biggest value in 0.5, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -21332?\nAnswer: 21333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Suppose 3*c = -f + 8, 0*f = -5*f + h*c + 6. Let z(r) = r**3 - 6*r**2 + 5*r + 2. Let q be z(5). Solve q*d + f = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - c - 604 = 143, -2*c = 4*d - 592. Suppose 152*w = d*w + 198. Calculate the greatest common divisor of 198 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.956 + -0.044. Suppose -3*y - 5*x = -7*y - 29, 11 = 4*y + 3*x. Let d = 0.3 - 0.5. Which is the nearest to -0.1? (a) y (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suus. Give prob of sequence uu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 11:49 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-60))\/((-12)\/(-130)*-5*12\/80).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39253 or -39255?\nAnswer: -39253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37596 and 18798?\nAnswer: 37596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + sqrt(500) + -1 + 1)**2 + (sqrt(500) - (5 + sqrt(500)*1)**2).\nAnswer: -90*sqrt(5) + 1475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 14*i**3 + i**3)*(2056 - 995 - 898)*(0*i - i + 0*i).\nAnswer: 2445*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 592 and 70818.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -42*a**3 + 13*a**2 - 29*a - 13. Let z(d) = 7*d**3 - 2*d**2 + 5*d + 2. Let r(p) = 6*t(p) + 39*z(p). What is the second derivative of r(u) wrt u?\nAnswer: 126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -159*110\/2700*2)\/(16\/12)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2169 and 765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 - -143. Solve i = 5*z + 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-9 - (-5 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1740691 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-9\/2)*w*w)\/w*w**(-3))\/(w**(1\/4))**(2\/11) assuming w is positive.\nAnswer: w**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and -0.15513?\nAnswer: -0.263721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.076 to the nearest integer.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 24\/7 (c) 0.5 (d) -1\/3 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - v**2 + 2*v. Let g(y) = 5*y**4 - 7*y**2 - 16*y. Let q(u) = -g(u) + 6*k(u). Find the third derivative of q(x) wrt x.\nAnswer: -120*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/489310 and -109\/5137755.\nAnswer: 10275510","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 0.11, 12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 + -51. Suppose -q - 194 = -2*t, -t - q = q - s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 33 = -2*z + z, -u - 60 = -6*z - 79 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 4. Let o = -14.79 - 0.21. Let s = o - -15.4. What is the third biggest value in s, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:02 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 0.3 (b) 719 (c) -4\/9 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40551261 divided by 3.\nAnswer: -13517087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*l = -2*l - 11, n + 3 = -5*l. Suppose 0 + 2 = n*c. Suppose -c = k - 3, 4*f - 70 = -k. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - -2. Let m(a) = 20*a - 48. Let n be m(3). What is the greatest common divisor of x and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233 - 139. Let s be ((-9)\/(-3))\/((-12)\/4204). Let k = 1070 + s. Calculate the remainder when d is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6649 and 244.\nAnswer: 26596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 3*z + 0*z - 2 - 3*z + 2 + (-2 - 32*z + 2)*(-4 - 7 + 3) as m + x*z and give x.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1490, 1493, 1506, 1535, 1586, 1665?\n\"Answer: i**3 - i**2 - i + 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10933 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*x - 5. Determine r, given that 8*r**4 - 43*r**4 + 3*r**x - 10*r**3 + 17*r**5 = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21394610851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -668, -2306, -5530, -10880, -18896?\n\"Answer: -90*y**3 + 17*y**2 - 13*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2159, 4247, 6277, 8255, 10187, 12079, 13937, 15767?\nAnswer: 17575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1700*x + 2099*x - 12369 = 0 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4794 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 2383 and 23829\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u + 10 = -43*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-14)*(-1 + 3). Let k(v) = 3*v + 6. Let s(m) = -m - 2. Let q(w) = 6*k(w) + 17*s(w). Let o be q(-2). Are o and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29, -48, -67, -86, -105, -124?\n\"Answer: -19*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 81 = 15. Let j = m - 15. Let d be 98399997\/j + (-3)\/4. What is d rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 99, 141, 125, 51?\n\"Answer: -29*z**2 + 129*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2 - (-1 + 1). Suppose q + t = -4. Let a = q + -3. Is -7 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487194961 to the power of 1\/2, to the nearest integer?\nAnswer: 38564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (3 + 6246)*-4. What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197003 minus -0.0418447?\nAnswer: -197002.9581553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 30 = -4*n, -x - 7*n = -4*n + 17 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -3, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 40.37198 nanometers?\nAnswer: 0.00004037198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/13*c**2 + 4\/13*c - 2\/13*c**3.\nAnswer: -2*c*(c - 2)*(c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42386 divided by 5\nAnswer: 42386\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 2 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 11\/6*c**3 + 0 - c - 5\/2*c**2. Let g(y) = -5*y + 2. Determine 7*g(t) + 3*s(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 40*n**3 + n**3 - 19*n**2 - 1 - 2.\nAnswer: -39*n**3 - 18*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3363.77, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/14*(-103)\/38934*54*14\/(-4)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - ((-6)\/(-8))\/((-74)\/(-296)). What is the greatest common factor of y and 8704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 25*z**2 - 366005440*z - 146402180 = 0?\nAnswer: -2\/5, 14640218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by -4?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 8:40 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, 13.\nAnswer: 0, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 115*n**2 + 166*n + 75. What is the tens digit of r(117)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10*j**2 + 6*j + 46. Let t(w) = 2*w**2 - w - 9. Calculate 3*h(x) + 16*t(x).\nAnswer: 2*x**2 + 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -892*p + 887*p + 45. Suppose 3*d - 3 = -3*m - 0*d, 5*m + 3*d = 3. Put p, -3, m in descending order.\nAnswer: p, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 13 = -4*l, -x - 12 = -13. Factor 12*s + 4*s + 11788*s**2 - s**3 - 11773*s**l.\nAnswer: -s*(s - 16)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1927*c - 57816. Calculate t(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -21 - (-59 + 50)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(-5))))**(-23)\/(y**(4\/11)*(((y\/(y\/(y**(18\/11)*y)))\/y*y)\/y)\/y) assuming y is positive.\nAnswer: y**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226072*v**3 - 431042*v?\nAnswer: -1356432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -3\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohj when three letters picked without replacement from jojhjhoojojololooooo.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12152 + -72719\/6. Let u = 32 - x. What is the third biggest value in -4, 0.3, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 9. Let s(o) be the second derivative of 29*o**3\/3 - 249*o - 4. Give w(s(p)).\nAnswer: -174*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. Let x(g) = 4*g - 7 - 2*g + 4. List the prime factors of x(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*p - 59 = 0, 5*p - 1 = l - 6. Suppose -l*j = -29*j + 1036. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = -50. Let j = n - -16. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 126. Which is the biggest value? (a) 1\/4 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51697\/77 - -3175\/7. Let d = 218 + w. Let j be 20\/(-72) + 4\/(-18) + 0. Which is the closest to 1\/3? (a) d (b) -3\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.71 - -1.7. Let m = -0.11 - q. Let r = 0.54 - 0.04. Which is the closest to m? (a) 1\/5 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*m - 5*m - q + 66, -5*q + 8 = 2*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 10*t + 4. Let r be x(-10). Suppose z**4 + 102*z**3 - 105*z**3 - 4*z**r = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3401*c*x**3 - 621*x**3 - 5*x wrt c?\nAnswer: 3401*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 287731185 a multiple of 1421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62234750 (base 8) to base 15.\nAnswer: 125765a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-396)*-9*8\/(-6)*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14840 divided by 40?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(1\/6)*r)*r*r\/(r\/r**(-5))*r*r assuming r is positive.\nAnswer: r**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281120021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 18 = -2*p, 36 = 4*p + 4*u - 2*u. Let w = -5 + p. Suppose -5*j + w = -a - 8*j, -12 = -3*a - 3*j. Solve -4*s + 2*q - a = 6, -3*q = 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 2 + 2)*(-b + 2*b - 23*b)*(2 - 2 - 1) in the form t*b + k*b**2 + j and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11 - 7*i**3 + 8 + 7*i**3 + 32*i**4 with respect to i.\nAnswer: 128*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.409 - 0.009. Which is the nearest to -79? (a) 4 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q**2 - 4*q + 7*q - 4*q**2 - q**3 - 3. Calculate the remainder when i(12) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -8 - -1 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -21*s + 18. Suppose 236 = 3*k + 9*x - 10*x, -s*k - 3*x + 240 = 0. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 5*s**2 - s + 2. Let c be t(-5). Let d be 21\/(-6)*1*(-16 + 2). Calculate the highest common factor of c and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 24, 27, 30, 33?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(9\/6 + -1). Let p(a) = 41*a**2 - 4*a + 2. Let j be p(s). Find the common denominator of (-154)\/(-12)*j\/(-26) and 87\/62.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4358*b**2 - 11*b**2 + 9467*b + 7571*b**2 wrt b.\nAnswer: 23836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4949245 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 2*s**2 - s + (2*s + 4*s - s)*(-s + s - 2*s) + 4*s**2 + 0*s**2 + 0*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 39*f**3 + f**2 + f - 2. Let k be w(1). Let g = k - 36. List the prime factors of (-2 - 213\/g)*-1.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 0, 0 = -k - 5*a + 653 + 3616. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = -j. Sort j, -5, -3 in increasing order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 6*p**2 + p. Let h be 2*(3\/6 - 1). Let m be 7 + h + 2 + -2. Give q(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*-3*(sqrt(847) + (sqrt(847) - (sqrt(847) + 4))*4 + -5))**2*6.\nAnswer: -24948*sqrt(7) + 69548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, r: 2}. Give prob of picking 1 r and 1 c.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 6)*(10*y - 2 + 2 - 4)*(-y - 1 + 1) to j*y + s + v*y**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69e890 - -3?\nAnswer: -69e88d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(5\/4 - 2). Let x be (-4 + 7)*g\/(-6). What is the remainder when (1\/x - -1)*16 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -371 - -410. Suppose w*t - 31*t = 1808. What are the prime factors of t?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*c + 15, -2*l - 5 - 5 = 0. Suppose 2*d - d = c. Suppose d = -h + 5*h. Solve -2*z - 3*z + 25 = h, -3*z + 40 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 8*x + 6. Let v be o(7). Let s(r) be the first derivative of -1\/2*r**2 + 0*r - 2\/3*r**3 - 3\/4*r**4 + 78. Give s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5712, 23223, 52412, 93279, 145824, 210047, 285948?\n\"Answer: 5839*z**2 - 6*z - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.7207 hours in microseconds?\nAnswer: 178994520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -8 (c) 5 (d) 2\/15 (e) -66 (f) 74 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5636, -11267, -16898, -22529, -28160?\n\"Answer: -5631*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34795234*a**3 - 9115470 wrt a?\nAnswer: -104385702*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(18)*4)\/(-1*sqrt(864)*2).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0767839 from -0.1.\nAnswer: -0.1767839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, 58, 160, 294, 454, 634, 828, 1030?\n\"Answer: -f**3 + 25*f**2 - 4*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -81*g**2 + 301*g + 1221. Determine h(-4).\nAnswer: -1279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -86184, -86053, -85826, -85497, -85060, -84509?\n\"Answer: i**3 + 42*i**2 - 2*i - 86225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110017293.\nAnswer: 3, 107, 342733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -90. Suppose -8*u - 7 = -j*u. Suppose -8 = -2*r - h, r - 8 = 5*r - 4*h. Solve 4 = -f + k, -3*f - 20 = r*k - u*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 98928567.\nAnswer: 494642835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 368 and -1426831?\nAnswer: 1427199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 355637 - 2*b + 348128)*(4*b**3 + b**3 - 3*b**3).\nAnswer: 2*b**4 - 15018*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -383294.518 rounded to the nearest one thousand?\nAnswer: -383000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878*v**2 - 8 + 464*v**2 - 2119*v**2 - 3586*v**2.\nAnswer: -4363*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4 - 40. Let h(i) = i**3 - 3*i**2 - 2*i - 3. Let d be h(4). Suppose 5*v = 3*u + g + d, 5*u + 15 = 0. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 31. Solve -5*x + j = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -65*t - 10. Let i(v) = 22*v + 3. Let s(a) = 3*d(a) + 8*i(a). Let z be s(-6). What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*f**4 - 2*f**5 - 13*f**4 + (2 - 4 - 3)*(-4*f**5 - 4*f**5 - 2*f**5).\nAnswer: 48*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let v(r) = -56*r**2 - 28. Let o(g) = -g**2 - 1. Let d(y) = -28*o(y) + v(y). Calculate d(t(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in minutes?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2011230 is divided by 263.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -2\/27 (c) -4 (d) -0.3 (e) -20 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-48)\/(-56))\/((-54)\/(-13228299)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-2)\/s*s))**(8\/17))**(-15\/7) assuming s is positive.\nAnswer: s**(-240\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d - 2)*(-1 - 1 + 1) + (-5*d + 5*d - d)*(2 + 4 - 4) - 7*d + 24*d + 2*d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j + 4. Let n(p) = 7*p + 2. Calculate -5*n(m) + 2*s(m).\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/5 (b) 6\/13 (c) 4 (d) 7 (e) 460 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 11*d**2 - 29*d + 2. Let o be f(5). Suppose -3*w = 2*b - o*b - 126, -4*w - b = -145. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186111 (base 13) in base 10?\nAnswer: 613146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7260257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 206 = -371 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 234881\/69 - 3405. What is the common denominator of -43\/42 and r?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2703287 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -119693 divided by 17099?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(196)*1)*4.\nAnswer: 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c*((c\/(c\/(c*c**(2\/43)))*c)\/c)\/c)*c**29*c assuming c is positive.\nAnswer: c**(1331\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 6*y**2 - 14*y - 2. Let w be q(3). Put 5, w, -5 in decreasing order.\nAnswer: w, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + -90. Is ((-100040)\/60)\/(p\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, z: 10, q: 4}. Give prob of picking 1 q and 3 z.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/44520 and 11\/105?\nAnswer: 44520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050674 to 5 dps.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 240662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 345*g - 177*g + 228*g to u + v*g and give v.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(sqrt(8)\/sqrt(4)) - sqrt(38)) + -2*sqrt(152))\/((sqrt(64)*-1)\/sqrt(8)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2359\/4 + -1149\/2. Calculate the common denominator of 37\/64 and s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*u + 33, -5*u + 0*u + 3*z + 92 = 0. Suppose -2*a = -a + 3*v - 136, a - 5*v = 128. What is the greatest common divisor of u and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:04 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285059 and 555146?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, -2\/3, -4, -46, 3\/17?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vndvjjvnv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 69895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -1\/2 (c) -0.2 (d) -2\/289\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1513*j**3 - 1 - 1 + 189*j**3.\nAnswer: 1702*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-10)\/20*(-12)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2945018 is divided by 188?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*t - 142, 0 = -5*t - 5*b + 184 - 29. Let j = t - 30. Suppose 0 = u + j*p - 192, -5*u - 2*p + 254 = -641. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4033 and 3155659.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -7. Is 47\/4*(3 + b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lim when three letters picked without replacement from {i: 2, t: 3, w: 4, l: 4, m: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**7\/840 + o**6\/60 + o**5\/120 + 13*o**4\/24 - 73*o**3\/2 + 283*o**2. Let v(c) be the first derivative of w(c). Give v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 121224\/32. Let u(p) = -6*p**3 - 10*p**2 - 6*p - 5. Let v be u(8). Let i = v - z. What is the common denominator of i and 71\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y + 19*y + 100390 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Let h(w) = -6*w**2 - 3*w + 3. Let a(g) = -858*g - 7*g**2 - 3 + 7 + 854*g. Give r*a(t) - 4*h(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u. Let c(y) = -y**2 + 10*y + 13. Let n be c(11). Does 12 divide p(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 8:02 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**3 - 5*x**2 - 5*x. Let k(l) = 1426*l**3 + 0*l - 2851*l**3 - 3*l**2 + 1430*l**3 - 3*l. Suppose 0 = 3*y - 6*y + 15. Determine y*k(r) - 3*j(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 20*f + 4*i = -7, 4*f - 3*i - 10 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 55327\nAnswer: 221308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4457*k + 665 = -4461*k + 8953*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 - 5*s - 7. Let g(a) = 5*a**2 + 4*a + 8. Let v(u) = 2*g(u) + 3*k(u). Suppose r - x = 3*r + 3, 3*r + 37 = 5*x. Give v(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + h. Let u(c) = 2*c**3 - 139*c**2 + 418*c. Let v(w) = p(w) - u(w). What is the second derivative of v(q) wrt q?\nAnswer: -6*q + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 2*r**2 + 3*r. Let d be n(2). Solve -2*o + d + 4 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1697150*k - 2062481?\nAnswer: 1697150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 11:12 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**4 - i**4 + 6*i**4)*(4*i + 15*i + 43*i).\nAnswer: 558*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4544 - 0.1544. Let z = -3 + 2.96. What is the biggest value in 3\/2, b, z, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*x - 53*n + 52*n, 0 = -5*x - 2*n - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4150511326+-3.9\nAnswer: 4150511322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 32 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*g**3 - 7*g**4 - 19 + 49*g**3 - 20*g**3 + 2*g**2 to the form l + h*g + c*g**3 + d*g**2 + z*g**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-25))\/g*g**(2\/5)*g assuming g is positive.\nAnswer: g**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-242)\/32 - (-14)\/4) + 3\/(3\/4).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 135, -332 in increasing order.\nAnswer: -332, -3, -2, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2990, -1859, -6708, -11557, -16406?\n\"Answer: -4849*d + 7839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j - 2*p = -39*j + 2994, 0 = j - 4*p - 2984. List the prime factors of j.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/65 - (-2)\/13. Solve 5*a = -4*v, k = -4*a + 5*v - 41 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -11. Suppose 13 = 4*l - a. Solve -d - 5 = 3*d - 3*t, -l*t = -2*d + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3840 divided by 192\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8059\/7 + -1154. Is g equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2848\/19 or 151?\nAnswer: 2848\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 288*p\/5.\nAnswer: 2*p*(p + 144)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.46 + -60.46. Let u = y + 58. Which is the closest to u? (a) 2 (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 8834 = -5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -i - 5, -7 = 4*h + 5*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*k + 12, 16 = -k - x - 3*x. Suppose 6 = -k*v - 3*v. Let h be 0 + -2*9\/42. Which is the smallest value? (a) v (b) 6\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -86*m**2 - 183*m - 19. Let k(t) = -3*t**2. Calculate j(k(h)).\nAnswer: -774*h**4 + 549*h**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49*22 - (2 - 28\/7). Suppose 412 = 2*d - 2*x, -5*d = -x + 6*x - f. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5fac (base 16) in base 13?\nAnswer: -b1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -r + 27, -30 = 6*o - 3*o - 5*r. Let m be (o\/40)\/((-6)\/2). Let l = -2 + 1. Which is the closest to -1? (a) l (b) m (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -402 + 407. Solve 0 = n*r + 2*y + 20, r - 8*y + 3*y = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q - 5*v + 20 = -28*q, v - 1 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f + 12 = 0. Let n(x) = x**3 + 8*x**2 - x - 5. Let a be n(f). Let p = -73 + a. Sort -1, p, -5, 4.\nAnswer: -5, -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/3 - 1231*m**2\/3 - 19504*m\/3 - 25920 = 0.\nAnswer: -1215, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 7. Let o(j) be the third derivative of 17*j**5\/20 + j**4\/12 + j**3\/6 + j**2. Is 25 a factor of o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 47 - 103 + 67 + 2*i. Let j be b(-3). Solve 0 = j*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42553?\nAnswer: 7, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (166 - 145).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 + -210 - (-2 + -4) - 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55.9 - -56. Let u = 0 - 0. Let q = -73\/2 + 36. Which is the closest to u? (a) x (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*o**2\/2 + 4920924*o - 3280614 = 0. What is o?\nAnswer: 2\/3, 1093538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 425157749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 987*s - 62*s + 987*s - 334*s - 2.\nAnswer: 1578*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.53405 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tubou. What is prob of picking 1 b and 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1023, -1715, -3601, -7281, -13355, -22423, -35085, -51941?\nAnswer: -73591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-43782)\/189 + (-2)\/(-9). Let q = y + 232. Suppose -q - 2\/7*l + 2\/7*l**2 = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4449110 and 445?\nAnswer: 4449110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002231 (base 7) in base 6?\nAnswer: -5021024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -1404?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 59. Solve 0 = 4*m - r*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c + 101. Let l(z) = 11*z - 99. Give -7*b(f) - 6*l(f).\nAnswer: 4*f - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 25*l**3 - 3*l**2 + 7*l - 14. Let a = 114 - 112. What is the units digit of h(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 26*i**2. Let h(p) be the third derivative of -p**4\/3 - 111*p**2. Calculate h(t(k)).\nAnswer: -208*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 - 5*w + 1. Let l be o(-4). Suppose -5*u + l + 11 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116358 (base 9) to base 12.\nAnswer: 34808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 250*l + 3125.\nAnswer: 5*(l - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 37.\nAnswer: -24\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*d - 9, 4*f - 4*d + 7 = -d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1757940 divided by 20.\nAnswer: 87897","meta":{"dup_signals":{},"source":"arithmetic__div_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 the greatest common divisor of 47450 and 477566?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37239590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-7 - (-23 + -1)) + -9 - (24 + 3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 3*g**2 - 1. Let n(d) = 2*d**3 + 28*d**2 + d + 18. Let s be n(-14). What is the remainder when 70 is divided by z(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 9*f + 567. Let k = f + -565\/9. Let p = 0 - 0. Which is the nearest to p? (a) k (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 244466720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.04 - 8. Let r = l - -0.01. Let j = r + -1.05. Which is smaller: -3\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -17. Let x be (-1)\/(h + 0 + 1). Let s be (-6)\/(-4) - (-2)\/(-2). Which is the smallest value? (a) s (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 4*i**2 + 3*i + 4. Let j(g) = -8*g + 5 + 2 - 2 + 27*g. Let o be j(0). Determine d(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 824 + 2?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {v: 3, i: 4, s: 2, d: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2550840 and 255084?\nAnswer: 2550840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppjltrtbptttpl. What is prob of picking 1 l, 2 p, and 1 r?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5*f - 17458 + 17403, -38 = -2*l - 4*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*q + 0*q + 1599 = 13299. Calculate the remainder when 301 is divided by q.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 30 = -3*j + 6, 2*l - 19 = -j. Let p(o) = -37 + 37 + l*o. Let f(u) = u. Determine f(p(b)).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/9)\/((-56)\/672)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-11 + 6 - -4) - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337970802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(152) - sqrt(152)*1*-6) + sqrt(152))\/sqrt(8) + -3 + sqrt(171) + sqrt(19) + 4)**2.\nAnswer: 24*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*r**3\/9 - 38*r**2\/3 + 548*r\/9 + 16 = 0. Calculate r.\nAnswer: -18, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 77*t**2 - 93*t**2 - t to the form v*t**2 + j*t + p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let j = 111 - -44. Let i = 778\/5 - j. What is the closest to l in -1\/5, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from mmmmmmvvvmvmv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((3\/419)\/(-3)). Suppose -4*z + 5*h + 327 = 0, -5*z + 0*z + s = 4*h. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 55, 199, 343, 487, 631, 775?\n\"Answer: 144*g - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/3)*d*d)**(-25)*((d*d**(-1\/17))\/d)\/d*d**(-40) assuming d is positive.\nAnswer: d**(-5069\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63a (base 11) to base 15.\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.1. Let r = -92 + -2. Let i = 94.1 + r. What is the third biggest value in u, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.798808cm to micrometers.\nAnswer: 77988.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4544\/(-10224)*2\/(-40)*3?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2913 and 57289.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 100?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s - 16 = 53*s - 5*d, 0 = -2*d + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-324352)\/880)\/(-8) + (-312)\/(-429). Let -2\/5*i**3 - s*i**2 - 9126\/5*i - 118638\/5 = 0. What is i?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 1 = l - 3*x, -2*l + 5*x - 1 = 0. Suppose -2*q = l*q. Suppose -2*v = -4*d - 52, -v = -3*d - q*d - 31. Solve 1 = 5*w + v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v + 3*v)*(3*v - 2*v + v) - 3*v**2 - 2*v**2 + 2*v**2 + (2 + 5*v - 2)*(-41*v - 44*v + 71*v)*(4 + 5 - 5).\nAnswer: -281*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2027312 to four decimal places.\nAnswer: 0.2027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.4 - -2.91. Let j = k - -2.69. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2\/7, -0.5, -6, -0.2 in increasing order.\nAnswer: -6, -0.5, -2\/7, -0.2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 61384 times 17\nAnswer: 1043528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*f + 20, 45 = -0*d + 5*d + 4*f. Let j be -3 - (3\/(-5) - 54\/10). Put 1, d, j in descending order.\nAnswer: d, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/36 + -4*1\/(-18). Which is the nearest to -0.1? (a) -1\/4 (b) r (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (1 + -6) - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2846, -2851, -2866, -2897, -2950, -3031, -3146, -3301?\nAnswer: -3502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30100 and 1100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3514078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273 - 260. Solve 0 = -16*f + v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29843 = -1187*u + 1040 - 21904 + 3227 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*r + 28*r - 3.\nAnswer: 25*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 + 130*d**3 + 92*d**3.\nAnswer: 231*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*n - 1)*(18*n + 39*n - 2*n) to t + s*n + q*n**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/u**(-2\/9))\/((u*u**(-1\/4)*u)\/u)**(-1\/9) assuming u is positive.\nAnswer: u**(-205\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 2:05 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871465.\nAnswer: 5, 7, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 190921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*b - 24*b + 1575 + 1233 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 23 = -5*l + 12*j - 40, 4*j - 28 = 2*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 26 - 4 = 0. Let t = k - 4. Does t = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 1. Let y(r) = 8. Let v(s) = 2*s**2 + 5*s + 13. Let z(j) = v(j) - 2*y(j). Give -4*k(t) - z(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l**3 - 2*l + 40*l**3 - 132*l**3 - 196*l**3.\nAnswer: -255*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 13\/12 (c) -2\/7 (d) -5 (e) 5 (f) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000204508 to six dps.\nAnswer: -0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1172 + 1467. Is 294 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**4 - 6*y**3 - 105*y**2 = 0.\nAnswer: -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -358\/3, 5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.550495 - -1.3.\nAnswer: 2.850495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 189, 279, 357, 417, 453?\n\"Answer: -v**3 + 97*v + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -225936, -2 in ascending order.\nAnswer: -225936, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 0*g**3 + 0*g**4 - 26 + 0*g**2 + 7\/5*g**5 + 35*g. What is the first derivative of l(t) wrt t?\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -216*n**5 - 303*n**4 + 1752*n**3 - 1803*n**2 + 642*n - 72 = 0. Calculate n.\nAnswer: -4, 2\/9, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 + -1)*(-4)\/(-6). Suppose -q + 25 = t*q. Suppose -4*a + 5 = -a + u, 0 = -a - 5*u + 25. Solve a*x + q = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10644 divided by -2661?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 29 - 23*f - 1 + 14)*(-5*f + 5*f - 2*f) to the form n*f + o*f**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l**5 + 260557*l**3 + 3249576*l**2?\nAnswer: -420*l**2 + 1563342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2271042*d**2 + 52331*d**2 + 226443*d**2.\nAnswer: -1992268*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4944*n + 19741*n - 4932*n - 4935*n - 4933*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 14343?\nAnswer: 14343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596669 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 75, 199, 549, 1239, 2383, 4095?\n\"Answer: 19*x**3 - x**2 - 6*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3613.6153484 to two decimal places.\nAnswer: -3613.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -p - 0*p - 60, 5*p + 80 = 5*g. Let j(d) = 2 - 4 - d - 5 + g. Determine j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/5 (b) 2 (c) -0.6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 + 8*y + 1. Suppose 5*q + 5*d + 16 = 9*d, 0 = -2*d - 2. Let a be b(q). Let i = -17 + a. What is the greatest common factor of i and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 91*w**2 + 62*w - 66. Calculate l(3).\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -167 + 179. Let f be ((-6)\/(-6))\/(12\/i). Let s be -2 + 2\/2 - -2. Which is the closest to s? (a) -5 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332465 and 1121?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84105903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*g + 4*d, 98*g + d - 1940 = 995 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.4, 3\/2, 16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3539.1 - 452.9. Let v = h + 3995.019. Round v to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 - -4. Let k = 155 - u. Let p = 78.9765 + k. What is p rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 61. Is (38\/10)\/(p\/8235) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + v + 30*v + v - 2*v + 0*v + 2*v + 4*v - 4*v + (2 - 2 + 2)*(0*v + 0*v - 2*v) - 1 + 2*v + 1 - 3*v - v + 6*v as q*v + a and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -491 - 493 + 1008 - 4*s - 88*s to q + z*s and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 2. Let f(u) = -u + 2. Let c(x) = -3*f(x) - 2*v(x). Let j(k) = k**2 - 2*k + 89. Let a be j(0). Let w = -94 + a. Determine c(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 36*y**2 - 10*y + 57. Let l(b) = -34*b**2 + 8*b - 45. Let k(p) = 5*l(p) + 4*n(p). Let v(c) = 9*c. Determine k(v(o)).\nAnswer: -2106*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x. Let v be d(1). Let m(i) = -8 + 984*i - 982*i + 3. Determine m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = -1, 0 = -3*z - 5*i - 19. What are the prime factors of 37 - -2*(-12)\/z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 9:20 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669426.9ml to litres.\nAnswer: 669.4269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2846883, -2846877, -2846859, -2846823, -2846763, -2846673, -2846547, -2846379?\nAnswer: -2846163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {r: 1, w: 2, x: 1, n: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 22 - 20 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 6, q: 1, g: 1, l: 3}. Give prob of picking 1 n and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 200, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 146 = 5*s. Let o = s - -245. 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: Calculate prob of picking 2 j and 1 r when three letters picked without replacement from {j: 9, r: 7}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 + 186 - 218*n + 163*n + 44*n in the form y + j*n**3 + t*n**2 + d*n and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3513 - 1859. Suppose 3*g - 1839 = -3*f, -1399 - x = -5*g + f. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2 = 3*t, -8*z + 9*z + 14 = 3*t. Let r(u) = -11*u**2 + u + 106. Let x(o) = 12*o**2 - 2*o - 107. Let a(d) = t*x(d) + 7*r(d). Solve a(c) = 0 for c.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 378*q**2\/5 + 20064*q\/5 - 201344\/5.\nAnswer: 2*(q - 88)**2*(q - 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -9565 and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v)\/(v*v*v**2*v*v))**(-1\/4)\/((v*v**(-3)*v*v)\/v**(-3\/2))**27 assuming v is positive.\nAnswer: v**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 6:07 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.46 - 7.7. Let t = -0.24 - z. What is the nearest to 2 in 0, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3704 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 14. What is b(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -417747 - -417751. Factor -14\/3*u**b + 0 + 0*u + 74\/3*u**3 - 20\/3*u**2.\nAnswer: -2*u**2*(u - 5)*(7*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1761731 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**3 - 58*p**2 - 151. What is x(-14)?\nAnswer: 2201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9842 is divided by 702.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2544\/(-2120))\/(2\/(-30)))\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 3*b**2 + 10*b + 2. Let d be q(5). Solve d*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*c + 5, 4*n + 2*c = 4*c + 10. Sort 148, -4, n in decreasing order.\nAnswer: 148, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + 35806505.\nAnswer: 35806505.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**2 + 9*v**2 + 33*v**2 + 200499*v + 16*v**2.\nAnswer: 37*v**2 + 200499*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -75 - (-204 - -44) - 42\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-1050)\/120) + -4*22\/20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8064293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, -1\/10, -3\/7, 1\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2164*q**2 + 4332*q**2 - 2165*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6*o*o*o**(-3\/7))\/(o**(-1\/2))**(-23))\/(o**(3\/2)\/o**(-5)*(o*o*o**(1\/2)*o*o*o)**45) assuming o is positive.\nAnswer: o**(-3611\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-6*(-1*sqrt(91) + sqrt(91) - sqrt(91)) - sqrt(91)) + sqrt(91))*2)\/(sqrt(7) + sqrt(35)\/(sqrt(20)\/sqrt(4)) - (sqrt(7) - sqrt(14)\/sqrt(2))*6))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 9*w + 4. Let n be g(9). Suppose -2*s + 18 = o, -2 = -o + n*s - 2*s. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 10, 5*a + 3*u = 8*u + 850. Does 43 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/4, -1, -1\/3, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -24 (b) 0.2 (c) -3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27431 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -947a0 - 1?\nAnswer: -947a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9430 + 790 = 511*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313 + -11?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4014702.74 - 4014698.13999962. Let d = 228.6 + -224. Let i = n - d. What is i rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*o**4\/3 - 64*o**3\/3 - 248*o**2 + 1344*o - 1764 = 0. Calculate o.\nAnswer: -7, 3, 21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212356 (base 9) to base 7.\nAnswer: 1034355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s. Let l(b) be the first derivative of 1\/3*b**3 - 3 + 0*b**2 + 0*b. What is p(l(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1015, -1016, -1017, -1018, -1019?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902\/4 - (-1)\/2.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 98 = -4090. Let s = v + -4539\/13. What is the nearest to s in -0.5, -1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213*f**2 - 110*f**2 + 77 - 111*f**2 wrt f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*r - 298*r = -43 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 13*s**8\/8 + s**4\/2 - 29*s**2\/2 - 12*s. Find the third derivative of v(c) wrt c.\nAnswer: 10920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-20))\/((-1)\/(-4)). Factor -2\/5*j**2 - z*j**3 - 2\/5*j**4 + 0 + 0*j.\nAnswer: -2*j**2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 f when four letters picked without replacement from fpfnxbbpfxnbpxfx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 124, 216, 308, 388, 444, 464?\n\"Answer: -2*p**3 + 18*p**2 + 40*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 49728 (base 10) to base 3\nAnswer: 2112012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**6\/120 + b**5\/12 + b**4\/12 + b**3\/6 - 22*b**2. Suppose -4*w - 2*m = 10, 2*w + 3*w + m = -17. Determine c(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = -3*f, 5*h - 3*h + 4 = 0. Suppose -2*w + 20 + 46 = f. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 30. Let u be a(-9). Let y be 50\/u*(-3)\/2. Suppose 621 = f - y*g, 5*g = -3 - 7. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1494 and ((-72)\/29880)\/(3\/(-6)).\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1772065?\nAnswer: 5, 59, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b**2 - b + 1. Let k(r) = 37*r**3 + 8*r**2 + 4*r - 524. Let z(d) = k(d) + 4*p(d). What is the derivative of z(c) wrt c?\nAnswer: 123*c**2 + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -26*g**3 + 68*g**2 + 12*g + 58. Let d(i) = 6*i**3 - 17*i**2 - 3*i - 15. Let z(k) = 9*d(k) + 2*n(k). What are the prime factors of z(12)?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/(-12) + 2)\/((-2)\/6). Suppose s = 5*s - 5*n - 41, -s = -2*n - 14. Suppose h + r = c, 0 = -s*c + c - 4*h - 13. Which is greater: -2\/71 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((146*(-1)\/5)\/1)\/((-8)\/120) and 1095?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63835\/8 + 7969. Let a = 25\/8 - y. Calculate the common denominator of a and -47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, i: 2, p: 7, y: 3, a: 5}. Give prob of picking 1 i, 1 a, 1 p, and 1 y.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18794 is divided by 9287?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55\/(-10)*-2 + (270\/6)\/(-9). Solve y*f = 15*f - 45 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -104089 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 1 + (-184 - (-170 - 46))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*f + 29*f + 57*f = -416 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -25 + -25 + 10 - -75\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l + 3*v + 9 = 0, -l = -5*v + 17. Suppose 4*a + 12 = 3*x - a, -2*x + a + l = 0. Let b(q) = x*q - 2*q + 1 + q - q. What is b(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (-36 - 3) + -6 + 5?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 100\/63?\nAnswer: 100\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 44.1. Let y = 44.4 - u. Which is the nearest to 1\/7? (a) y (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/2074 greater than -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjoccmojjjyocjcj. What is prob of picking 1 y, 1 o, and 2 c?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.4. Suppose 0 = -5*o + 2*o - 4*i + 7, 26 = 4*o - 3*i. Let p = 6\/5 + 3\/10. Which is the third biggest value? (a) o (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273264?\nAnswer: 2, 3, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/21*(-6)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6.3 times 0.4\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 2:59 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 5:06 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -c06 (base 14) to base 13\nAnswer: -10c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 65 = -65*p + 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926148\/11 != 175105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 12*a - 19. Let q be m(-10). Let u(o) = 259*o**3 + o**2 - 2*o + 1. Is u(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9288236 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12))\/((-4)\/(-32)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2. Let m(c) = 1283*c**2 - 1298*c**2 - 11*c - c - 12*c. Determine m(b(u)).\nAnswer: -60*u**4 - 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2407980 and 9112.\nAnswer: 81871320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-35))\/((-56)\/(-280))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24)\/(6\/(-72)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p - 1. Let r = 0 + -1. Let j be x(r). Factor 19\/4*w**4 - 15\/4*w**3 + 1\/2*w - 7\/4*w**j + 0 + 1\/4*w**2.\nAnswer: -w*(w - 1)**3*(7*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d7 - 9?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.3 (b) -0.03 (c) -0.2 (d) 1 (e) -2951 (f) 77 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 3*j**2 - 2*j - 12. Give r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m - 91. Suppose 32*g + 6406 = 6054. Calculate y(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:57 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -19*w - 2990. Let q = w - -148. What is the smallest common multiple of 72 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 716326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18579532.\nAnswer: 2, 4644883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.586 (c) 4697\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3933)\/45 + ((-132)\/2310)\/(1\/(-7)) + 12?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 - -4)*(-1379)\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -76. Let o = 22 - 35. Let p = o - r. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 13*k + 1. Let s(d) = -d**2 - 16*d - 16. Let i = 25 + -39. Let v be s(i). List the prime factors of y(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6 - 15. Suppose p*u + 128 = 11*u. Calculate the greatest common factor of 48 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 726 and 217437?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 15. Let t(d) = -5*d**2. Determine t(b(q)).\nAnswer: -20*q**2 + 300*q - 1125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 19*y - 4*y + 0*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 4*c + 5*c**2 + (-8*c - 16*c + 3*c)*(2 + 2*c - 2))*(3 - 7 - 7)*(-4 - 1 + 3) to the form d + k*c**2 + n*c and give k.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n. Let y(m) = -2*m + 5. Let f = -86 + 81. Let a = -2 + 5. Let q(v) = -v + 3. Let p(c) = a*y(c) + f*q(c). Give p(r(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - 16*h**2 - 8*h**2 + 15*h**2 - h**4 as v*h**4 + x*h + f*h**2 + j*h**3 + p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83 - 11525?\nAnswer: -11442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, a: 7}. Give prob of sequence aaaa.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*4 + sqrt(85)\/(-2*sqrt(5)))**2.\nAnswer: 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(176).\nAnswer: -2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, r: 1, j: 8}. What is prob of picking 1 r, 1 h, and 1 j?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9167.171 to the nearest ten.\nAnswer: -9170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 1\/10, 2950 in decreasing order.\nAnswer: 2950, 5, 1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 5. Let s be j(5). Suppose -2 = s*f - 12. What is the third derivative of q**2 + f*q + 2*q**5 - 2*q wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*a - 13 = 0, 0 = -3*l + 2*a - 25 + 104. Solve -3 = -4*p - l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 865090.1g?\nAnswer: 865090100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 65 + 0 + (6 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 13 - (-1 + 0). Suppose b = 3*x - 24, 3*b + o + 8 = 2*x. Suppose -8*g = -6*g - x. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86265 and 1775?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 95.8. Let s = -2 + 4. Let t = -7 + s. Which is the second biggest value? (a) 5 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1180582 - -638982. Round c to the nearest ten thousand.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2 = 3*r, -l = 4*l + 2*r - 23 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 784 = -7*k - 40*k - 12*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + 3\/9. Let u(k) be the first derivative of k**3\/3 - k**2 + 15*k - 41. Does 5 divide u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 27*v - 836. Let f be q(31). What is the closest to 2\/7 in f, 22, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppmppppppmppmp?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 10:55 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:20 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - 6*d**2 - 355*d - 2113. Calculate b(-6).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by -5\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1460.9 times -0.9\nAnswer: 1314.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-198)\/77)\/(-9))\/(6\/(-14))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y - 10. Let n = -74883 + 74882.9. Let o = 0 + 0.2. Which is the smallest value? (a) y (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1733*a + 1315*a - 6688 = 0 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l. Let u(d) be the third derivative of -d**5\/10 - 4*d**2. What is v(u(h))?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -22*d. Let l(u) = -u - 6267. What is l(g(k))?\nAnswer: 22*k - 6267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 49. Let z(u) be the third derivative of -u**4\/24 + 4*u**3\/3 + 44*u**2. Determine z(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q - 3 = -54*q + 21. Sort 3, -1, q, -4, 18.\nAnswer: -4, -1, 3, q, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - -1 - (17 - ((19 - (-19 + 12)) + -12))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1178, 4636, 10358, 18344?\n\"Answer: 1132*d**2 + 62*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(6188\/390)*7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139320 and 5015520?\nAnswer: 5015520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:29 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 5:55 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2444345 (base 6) to base 14.\nAnswer: 35849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = t - 1, 0 = 5*q - 3*t + 12. Let s(d) be the third derivative of 0*d**4 + d**2 - 1\/300*d**6 + 0*d**3 + 0*d + q + 1\/150*d**5. Solve s(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**16*j**(-6)*(j**(-4))**12 assuming j is positive.\nAnswer: j**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqddv. What is prob of sequence dqvq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6458 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 3)*(-11)\/(-550)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 2. Let o be w(3). Let r be -43*(o\/(-1) + 0). Let l = -31 - r. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 1122113213310?\nAnswer: 1122113213232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7091920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 12. Suppose -v*n + 160 = n. List the prime factors of 952\/9 + n\/90.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 48. Let q = -97 - -106. What is the remainder when r is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) + 2 + sqrt(2736))*5)**2 - sqrt(2736) - (5 + -1*sqrt(2736) + sqrt(2736))) + -4*(4 + sqrt(2736)*3*-1)**2.\nAnswer: 3540*sqrt(19) + 175135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 2, i: 1, x: 1}. What is prob of sequence xigy?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -32. Let a = 7 - x. What is the nearest to a in -1\/4, -0.1, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9502 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 + 46186*u - 46184*u - 2.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.222 - -4111.222. Let j = -3562.4 + f. Let o = -637 + j. What is o rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1640 - -4919\/3. What is the smallest value in l, 5, -2\/95, -1\/5, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z + 45. Let a(i) = -2*i - 7. Let k be a(-5). What is the greatest common divisor of z and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/22)\/((-1)\/(-10)). Which is the second biggest value? (a) m (b) 0.1 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*i + 2*a**3 + 38*a*i - 5*i with respect to a.\nAnswer: -6*a**2*i + 6*a**2 + 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**7\/280 + o**5\/60 + o**3\/6 - 2*o. Let w(a) be the second derivative of x(a). What is the second derivative of w(v) wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1423991016515.29000015 + -1423991123728. Let g = o - -107211.61. Let q = g + 1.1. Round q to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 15204.\nAnswer: 45612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.037 + 2.037. Let f = i - 1. Let j be 0 + -2 + (-17)\/(-8). What is the closest to -1 in 2, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhnhinnnin. Give prob of picking 2 i and 1 n.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14196 divided by 679\nAnswer: 2028\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 3*f - 7, -5*q + 25 + 10 = 3*f for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 23*a + 7. Let b be ((-12)\/14)\/((-5)\/35). Is i(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.9 - -6. Let o = 0 - 4. Let t = o + 4. What is the biggest value in 4, y, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 - 1. Let b(v) = -179*v**3 + 23*v**2 + 3*v - 1. Let q(g) = -b(g) + c(g). Find the third derivative of q(i) wrt i.\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -54. Let x(k) = 6*k + 4 + 5*k**a - k**3 - 4*k**2 + 3*k**3 - k**3. Let c(u) = u**3 - u**2 + u + 1. Calculate 4*c(f) - x(f).\nAnswer: -2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqeeeqqqqhqqlllqleqq. Give prob of sequence lqe.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*v + 0*v - 125 = 0, 25 = -f - 2*v. Let m be 5\/(-10) + 250\/4. Let n = m + f. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13596*s**2 + 0 + 13598*s**2 + 3 - 3.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqoqqoqqoqqq. Give prob of picking 3 q and 1 o.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1226, -1183, -1126, -1049, -946?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + z**3 - 1760265*z**2 + 1760263*z**2 - 2 + 2*z**4 + 14*z in the form l + i*z**2 + s*z + v*z**3 + k*z**4 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w + 3*w. Solve 4*m + 2*z + 0 = -2, w*m - 4*z - 14 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*w = -346*w - 427. What is the remainder when w is divided by 37?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.2 to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + (-3 - -2))*-1. What is the closest to m in -5, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5\/7 + 753*x**4\/7 - 1497*x**3\/7 + 747*x**2\/7.\nAnswer: -3*x**2*(x - 249)*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141400230 - -4?\nAnswer: -141400222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -111 in -5651, -0.6, -4, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 11*q - 4. Let y be o(11). Let a be -2*1*2\/y. Solve -2*r + a = -3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-11 - (-4 + -4)) + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 + 313 - (-78 + -7)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24943 + -15416. Suppose j = y - n, -3*y = j - 6*y + 9521. Round j to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 49 (b) -107 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j + 4*j)*(-5*j + 0*j + 3*j) + 4 + 3*j**2 - 4 + j**2 + 0*j**2 - 4*j**2 + 56*j**2 - 93*j**2 + 2 - 1.\nAnswer: -41*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112645 is divided by 37391?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let m(i) be the second derivative of c*i - 1\/12*i**4 - 1\/2*i**2 + 0 + 1\/3*i**3. Determine w, given that m(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/50*(-105)\/(-42)?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 30.9. Let t be 6\/3*1*(-2)\/50. Which is the closest to k? (a) t (b) -2\/13 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-464)\/105792*(-7 - -1)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-576)*8 + (-121)\/(-12). Solve w*q - 59 = -69 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 316, 766, 1280, 1900, 2668?\n\"Answer: 7*s**3 - 10*s**2 + 431*s - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 12, z + 2*z + 2*b = 5. Suppose 5*q + 21 = 2*q. Sort -1\/4, z, -3, q in increasing order.\nAnswer: q, -3, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*w**2 - 29 - 305*w**2 + 99*w**2 + 103*w**2 - 41.\nAnswer: -w**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6) - 365\/(-30). Suppose 4*z - y = -0*z - t, 5*z + 4*t = 4. Let v(m) = 3*m + 5*m + 2 - 5*m - z*m. Calculate v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 5*g**3 - 118*g + 118*g + 14.\nAnswer: -6*g**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Suppose 0 = 3*i - 6 + 3. Let p be (160\/28)\/((-1)\/(-7)). Let m(s) = 72 - 2*s - 32 - p. Calculate i*m(x) + 4*y(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(0 + -4) - 0. Let s = i - 8. Calculate the common denominator of -2 - s - (-78)\/(-33) and 26\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00043970921 rounded to six decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 654 - 662. Which is the nearest to -0.1? (a) t (b) -0.2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**2 + 2*v. Let p(c) = 19931*c. What is u(p(n))?\nAnswer: -2780713327*n**2 + 39862*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1482 and -46\/2223?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 86\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14512 + -14503. Solve -3*k = -2*q - 2*k - z, 9 = 3*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40170\/1236)\/(-3*2\/(-9)*9\/(-12))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**2 - 789*r + 15. Let w(g) = -4*g**2 + 394*g - 6. Let o(z) = 2*k(z) + 5*w(z). Factor o(v).\nAnswer: -2*v*(v - 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - w - 4*w)*(2*w**3 + w**3 - w**3) + 2*w + w**4 - 2*w + 4 - 4 + 2*w**4 + (-3*w**3 + w**3 + 4*w**3)*(w - 5*w + 5*w).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w - 54. Give i(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*k**2*m**3*o - k**2*m*s**2 - 14*k*m*o + 12*k*m*s**2 - 1449589*m**3*o*s**2 - 34543*m**2*o*s**2 wrt m.\nAnswer: 600*k**2*o - 8697534*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31 (b) 3\/19 (c) 8.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - u + 5. Let p = -3 + -3. Let c be g(p). Suppose -10 = -3*f + c. Solve 3*r - 30 = 5*b, 2*r - 4*r = -3*b - f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*z + 41*z = 466*z + 18550 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 343. Suppose -35*b - o = -44*b. What is the remainder when b is divided by (-124)\/(-10) - 8\/20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185523 and 603?\nAnswer: 556569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365114 is divided by 62042?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*k**3 - 72*k**2 - k + 67*k**2 + 4 + 6*k**2 to q*k**3 + z*k**2 + w*k + f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1)*o**(2\/7)*o)\/(o\/((o*o*o**(5\/3)*o*o)\/o)*((o*(o\/(o*o**(-1\/2)))\/o*o*o)\/o)\/o*o))\/((o\/(o*(o*o**0)\/o))**(-6\/7))**48 assuming o is positive.\nAnswer: o**(145\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7620 + -7620. Let j be (2\/5 - 12\/(-70))\/(-2). What is the nearest to -3 in 1, l, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - g + 7 = 0, 3*g + 3 - 15 = -3*y. Suppose -4 = h - 0. Sort y, 3, h.\nAnswer: h, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.092 - -577.\nAnswer: 576.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*g - 6 = 0, m - 3*m = 5*g + 11. Suppose 2*x + 1 - 5 = 0. List the prime factors of (-64)\/(-28) - x\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/5 + 1763*f**2\/5 - 92286*f\/5.\nAnswer: -f*(f - 1709)*(f - 54)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**4 - q**4 + 29*q**2 - 34*q**2 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y**2 - 29*y - 4*y**2 - 8*y.\nAnswer: 16*y**2 - 37*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23045 + -5?\nAnswer: -2304a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + p. Let t be v(-1). What are the prime factors of 21\/t*154\/(-49)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31532240 (base 6) to base 3\nAnswer: 1202020101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {m: 1, p: 8, f: 7, y: 4}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 4607727117.3969.\nAnswer: 4607727117.6969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**2 - 3*x**2 + 3*x**2 + (x + 2*x - 2*x)*(2*x - 4*x + 3*x) + 3 - x**2 - 3.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. Let c(g) = -4*g**v - g**2 - g**2. Let p(w) = 2*w**2. Give p(c(o)).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 26 + 37 + 88*w**4 + (-w + 2*w**2 + w)*(-w**2 - w**2 + w**2) as k + m*w**4 + c*w + n*w**3 + l*w**2 and give m.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -36*l. Let q(g) = -10*g**2 - 884 + 884. What is f(q(u))?\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 333 + -1161?\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0*p**3 - 1\/30*p**5 + 0 + 0*p + 11\/12*p**4 + 5\/8*p**6 - 238*p**2. What is the third derivative of a(z) wrt z?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109216 or -764508\/7?\nAnswer: -764508\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120206968 is divided by 2070.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*a - 105. Suppose -9 = 4*x - a. Suppose i - 3 - 1 = 0. What is the greatest common factor of i and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(117))**2 - sqrt(156)\/(sqrt(1200) + sqrt(1200) + sqrt(1200)*-2 + sqrt(1200))) + -3.\nAnswer: -sqrt(13)\/10 + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.0718 (b) 1\/2 (c) 15\/46 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 7916*g**3 - 2739648*g**2 + 11053456*g - 11085056 = 0. What is g?\nAnswer: -304, 2, 2279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v = -26*v - 4*u + 8, 4*v = -3*u + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oykooooo. What is prob of picking 1 y and 3 o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -4928?\nAnswer: 4927.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10116, -4, 1, 3, 59, 4 in descending order.\nAnswer: 10116, 59, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**2 + 8*n - 6. Let g be c(6). Let w be ((-1570)\/(-20))\/((-74)\/164). Let o = g - w. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*k**3*t**4 - 4*k**3*t**3 - 3*k**3*t**2 + 9*k**3 wrt t.\nAnswer: 3288*k**3*t - 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 340, 309, 256, 175, 60, -95, -296?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5078*r - 5072*r + 10150*r + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19807606 - -0.19783. Round z to 6 dps.\nAnswer: -0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 10) + (-34604)\/(-1). Round b to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c + 92. Suppose -3*q + 7 - 22 = 3*s, 0 = -5*q - 3*s - c. Put 0, -5, q in decreasing order.\nAnswer: 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -205 + 205. Suppose v - 2*v = -b - 28, v - 5*b - 40 = h. What is the highest common divisor of 250 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2 + 64725*o - 1067501 wrt o.\nAnswer: 2*o + 64725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 129875.29413 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(8)\/sqrt(4)) + sqrt(96)\/sqrt(4) + sqrt(6))\/(sqrt(16)\/(sqrt(8)*-3) + (-2*sqrt(72) - sqrt(72) - sqrt(72)) + sqrt(2)).\nAnswer: -6*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/f**4)\/(f**3*f**4) assuming f is positive.\nAnswer: f**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 - 661 = 58*h + 108 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1468 and 4.3.\nAnswer: -6312.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 858 and -784.\nAnswer: -672672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-4))\/u**(-1\/24))**(-5\/8))**38 assuming u is positive.\nAnswer: u**(-11495\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16*q + 20. Let a(s) be the second derivative of 65*s**3\/6 - 75*s**2\/2 - 7*s. Let c(w) = -4*a(w) - 15*f(w). Let v(j) = j. Give c(v(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 2*c - 1. Let p = -9 - -7. Let s be 3\/(-1 + p)*-1. Calculate x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) -92\/5 (b) -272 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -15, -17, -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -3 + (-3 - -1). Let t = 2 - n. Suppose -3*j + t - 3 = 0. Solve -r + j = 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 45*s**3 - 335*s**2 + 610*s - 330. Let b(h) = 2*h**3 - 5*h**2 + h - 1. Let d(p) = 30*b(p) - l(p). Factor d(o).\nAnswer: 5*(o - 2)*(o + 15)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08395 rounded to 3 decimal places?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -828 + 824. Put -5, u, 102 in decreasing order.\nAnswer: 102, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 2119176?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s**2 + 240*s + 69. What are the prime factors of y(30)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 894 + 818. Suppose 4*d = 1468 + j. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 70419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 13. Which is smaller: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -2 - sqrt(1053))**2*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 5*m - 6. Let v = 12 + -10. Suppose -q = -v*r - 4*q - 22, 4 = -q. Determine c(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -260 - -690. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v*v*(v*v**(-2\/11))\/v)\/v)*v)\/v**(-5))\/(v*v**(-5))**(1\/58) assuming v is positive.\nAnswer: v**(2313\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-4\/13)*k*k\/(k*(k\/(k\/(k**(1\/5)*k)))\/k*k*k*k*k*k))\/(k\/k**(-9)*k\/k**(-12)) assuming k is positive.\nAnswer: k**(-1683\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2\/7, 2\/89, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, 2, 3\/13, 1.2, -3, -0.01 in ascending order.\nAnswer: -206, -3, -0.01, 3\/13, 1.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.145 and -320.313.\nAnswer: -687.071385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(190)\/(sqrt(20)\/sqrt(2)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 878422 - 463815. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 3*o**2 - 5*o**2 + 1211*o**2 + 10143*o**2 - 2321*o**2 + (3 - 2 + 1)*(-o**2 - o + o) - o**2 + 0*o**2 + 2*o**2 as t*o**2 + l + r*o and give t.\nAnswer: 9030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/65*(-6062 - -6067).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*m**5\/13 - 2812*m**4\/13 - 9866*m**3 - 1797364*m**2\/13 - 2879744*m\/13 + 34496 = 0. What is m?\nAnswer: -143, -28, -2, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**26*(z\/z**4)\/(z*z**(-2\/7))*(z*z\/((z**(-2)\/z)\/z))**(2\/37)\/((z\/(z**(1\/4)\/z))\/z)**(-1\/37) assuming z is positive.\nAnswer: z**(16463\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 - 3*k**3 + 12050*k**2 + 837*k**2 - 2*k**3.\nAnswer: k**3 + 12887*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234920828?\nAnswer: 2, 58730207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 23*h**3 - 4*h - 23. Let u(p) = 23*p**3 - 3*p - 23. Let g(k) = -3*m(k) + 4*u(k). Find the first derivative of g(x) wrt x.\nAnswer: 69*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62285520 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4 = j, 151 = 3*j - 4*m + 165 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 + -149. Let n = 31 + i. Let u(l) = 4*l**2 + 4*l - 5. Let m be u(n). Solve 4 = m*r - 2*q, -3*r + 6 = -r - 3*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7673 + -7662. Calculate the greatest common factor of 47 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -7*w**3\/3 - 6*w. Let r(d) be the second derivative of 21*d - 1\/3*d**3 + 0*d**2 + 0. Determine r(a(c)).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, k: 3}. Give prob of sequence kc.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 19*i - 48. What is the highest common divisor of 144 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*x**3 + 58*x?\nAnswer: 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0240175174 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 2}. What is prob of sequence zzv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4811 - 3.72.\nAnswer: 4807.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*a + 14. What is the hundreds digit of 183 - (-3)\/(-1)*(-5)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 11497 (b) 1 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68641096 + -68641096.59603982. Let f = q + 25.59607882. Let v = -25 + f. Round v to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 335*o + 12. Let y(k) = 29481*k + 1054. Calculate 527*q(b) - 6*y(b).\nAnswer: -341*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + (3129\/18)\/(-7) and (-65)\/156*88\/(-240).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382704 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 23 = 8. Let t be (-4)\/c*5\/2. Suppose 0 = -t*r - r + 9. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -48*s + 2. Let u be t(-1). Let f be (-80)\/u + 2\/(-5). Let i be (f - -1)\/(13\/13). Is i greater than or equal to -2\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138747 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.14 (b) -2 (c) -1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 1. Let a be g(-3). Find the first derivative of 1 - 214*b**3 + 214*b**3 + 2*b**a wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/60 + h**4\/24 - 5*h**3\/2 + 8*h. Let b(m) be the second derivative of s(m). What is the tens digit of b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-6) - (4 + -11))\/(167\/31062).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 3*sqrt(175)*4 + 3 + sqrt(42)\/(-1*sqrt(726)) + 0.\nAnswer: 3 + 714*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g + 34*g - 102 = 14*z - 19*z, 0 = -5*g + 3*z - 46 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*g - 9, -5*k - 2*g = -0*g - 6. Suppose -15*n + 9*n + 408 = k. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 + 7*v + 12. Let n be t(-5). Let a be n + 24 - 3\/3. Solve a = -34*p + 36*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = 4*x. Let q be ((6 + -6)*1)\/(-1). Solve 2*s = -q + x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = 0. Suppose i = 3*r - 4*d - 80, -d + 5*d + 20 = 0. Let v = 18 + -10. What is the remainder when r is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o)**(-41) assuming o is positive.\nAnswer: o**(-369\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2977296 divided by 112.\nAnswer: 26583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -7. Let c be f\/(-4)*4\/(-3). Suppose -2*y + 8*o - 13*o + 47 = 0, -5*o + 69 = 4*y. Solve -5*w + y = -c*w - g, 0 = 4*w - 5*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -908833 and -908834 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.264 - 23.464. Let n = 23 + f. Which is the nearest to 1? (a) n (b) 1 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2015 and 678.\nAnswer: 678.2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*l - 30 = 0, -4*k + 2*l + 892 = 760. What is the least common multiple of k and 501?\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345898 * 1.3\nAnswer: 449667.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 + 194*i - 128. What is g(-50)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - a - 17 = 2*a, 6 = -2*a. Let i(r) be the third derivative of -1\/15*r**5 + 0 + 4*r**2 - 1\/24*r**4 - 1\/120*r**6 + 1\/3*r**3 + 0*r. What is i(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25059 - 25061. Let t = -2 - -4. What is the second smallest value in -3\/2, 0.1, h, t?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(288)*3 + (sqrt(288) - (sqrt(288) + 1)*-6)**2 + (sqrt(200) + (sqrt(200) + (0 + 2 + sqrt(200) - sqrt(200)) + sqrt(200))**2)*5)*-5.\nAnswer: -90840 - 7650*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 276*n + 587. Let s(x) = -17*x**2. What is r(s(l))?\nAnswer: -4692*l**2 + 587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c + 6. Let x be (-3 - -2)\/(2\/(-10)). Let m(v) = -2 - 3 + 4*v + 0*v - 2*v. Calculate x*m(u) + 4*n(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/7 + 8*d**4\/7 - 9*d**3\/7 - 18*d**2\/7 = 0. What is d?\nAnswer: -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 8:10 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let n = -2 - -3. Let t be x(n). Let s(w) = w**3 + 5*w**2 - 8*w - 4. Let i be s(-6). Calculate the highest common divisor of t and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (248472\/182700)\/(1\/(-5))?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (106 - -1) - 39\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5 + 2*f**4 + f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -6. Let m be ((-1)\/k)\/(4\/12). Let s(o) = o**3 - 2*o**2 - 3*o + 2. What is the units digit of s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 16*w + 4*b, 371*w + 4*b - 26 = 366*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -46\/3*f - 44 - 2\/9*f**2 = 0.\nAnswer: -66, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 + 152*w**2 - 3138*w + 17388 = 0. What is w?\nAnswer: 9, 21, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-25))\/((-2892)\/120 - 1475\/(-59))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1. Suppose 2*c - y + 3 = 0, -5*y + 26 = 2*c - 1. Let a(b) = -b**2 + 8*b + 2. Let d(v) = c*a(v) + 4*k(v). What is d(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7613 - -22677411?\nAnswer: 22669798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1447 is divided by 715.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2856 and 58128?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u**2. Let m = -178 - -357\/2. Let q(n) be the first derivative of -4 - m*n**2 + 0*n. Give w(q(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*m - 90*m + 185*m + 151 + 77*m - 153.\nAnswer: 217*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(36\/(-3))*-8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4) - 45\/(-30). Suppose 0*f - v*f + 5*q - 9 = 0, q = 3*f - 3. Differentiate 3*j**2 + 6*j**3 - 9 - 2 - 3*j**f wrt j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(3 + 2*sqrt(1700) + sqrt(1700) + sqrt(1700) + sqrt(1700) + 0 - -6*sqrt(1700)*-2*-3) + 2)**2.\nAnswer: 373920*sqrt(17) + 411510244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 622351368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3078))\/sqrt(2) + 0 - (sqrt(931)*-4 + sqrt(19) + 3 + -5*sqrt(19))**2.\nAnswer: -19465 + 174*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*x - 2 = 0, -4*x + 3*x = -3. Let s be z\/16 - 14\/(-8). Let b(n) = -2*n**2 - 2. Calculate b(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*((-10234)\/(-172) + -72)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*a**2 - 26*a**2 + 27*a**2)*(0 - 3 + 1 + a**2).\nAnswer: 21*a**4 - 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((w\/w**(-5\/4)*w*w)\/w*w))\/w*w)\/w)**(-15))**(-16) assuming w is positive.\nAnswer: w**(-1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + (-24294056)\/(-14). Suppose -3*n + j = 2*n. Suppose -212942 = -2*g + n. What is g rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -3)*(-4)\/(-36). What is the closest to j in -2\/3, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 14 + (0 - -5) + -3 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 479. Let a(g) = 18*g**2 - 1. What is a(z(p))?\nAnswer: 18*p**4 + 17244*p**2 + 4129937","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-12)*(-2 + 5*-2). Let u = -24 - p. Solve u*k - 2 = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x + 26*x = -24*x + 2*g + 228, 4*g - 114 = 2*x for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 - (466 + -461)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 154?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucinooiuobncnun. Give prob of sequence ic.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2313 - 0.7593. Round j to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -0.5. Let a(n) = -n**2 - 7*n - 10. Suppose -2*k + 12 = 20. Let y be a(k). What is the smallest value in -2\/3, s, y, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11100308 and -30.82.\nAnswer: -30.70899692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:19 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -37, 1\/10, 7.1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -515a0?\nAnswer: -5159a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - 2021?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**6)*b*b**7*(b**(1\/4)\/b*b)**49)\/((b**(4\/5))**(-36))**38 assuming b is positive.\nAnswer: b**(22173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*y + 2*y - 67, z = -1. Is 2 a factor of 6\/(-15) - y\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36087 - 36100. Let z(g) = -4*g - 8. Let v(w) = 9*w + 17. Determine c*z(a) - 6*v(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67468 - 67468 + 1235*j.\nAnswer: 1235*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i**2 + 1\/6*i**3 + 1\/4*i**6 - 1 + 1\/8*i**4 + 0*i - 1\/2*i**5. Let q(x) = 0. What is x?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -902 + 898. What is the second smallest value in -0.04, p, 15\/2, 2\/11?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -449, -693, -953, -1235, -1545, -1889, -2273?\nAnswer: -2703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * 1.96\nAnswer: 3.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -3 + -12 + 6 - -5) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 14*w + 30*w - 10*w + 10*w**2 in the form c*w**2 + n*w + h and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 22. Suppose 4*o = u - 3*u + 848, 0 = d*o + u - 1066. What are the prime factors of o?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {y: 3, w: 12}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 + -36)\/(4\/(20\/9))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4 + 21382*j**3 + 114276097*j**2 - 228616344*j + 114318864 = 0.\nAnswer: -10692, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383608 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Suppose g*m + 12 = 9*m. What is the common denominator of m\/(-7) + (-754)\/(-1365) and -139\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503243 (base 6) to base 13\nAnswer: -15063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.57 and 61?\nAnswer: -339.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8227?\nAnswer: 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 6:59 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 87*b**3 + 2*b**2 + 2*b. Let x(n) = -88*n**3 - 3*n**2 - 3*n + 1. Determine 3*i(y) + 2*x(y).\nAnswer: 85*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 45, 55, 65, 75?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 2d116db?\nAnswer: 2d116db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 2. Let p be i(-2). Let g = 76 + p. Calculate the greatest common factor of 41 and g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 0.571307?\nAnswer: 0.571307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-4)\/(-2) - (-4 - -2). Let z be (-6)\/(18\/16 + -1). Let r be 7\/(28\/w) - z. Calculate the greatest common divisor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374875, -749963, -1125051, -1500139?\nAnswer: -1875227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4963 + 4963.3. Which is the closest to -1? (a) -66 (b) y (c) 3\/2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00085546 rounded to six decimal places?\nAnswer: -0.000855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 4 - (21 + -17)) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (156\/(-10))\/((-10)\/375*3). Solve -50*l**4 + n*l**3 - 17*l**4 - 20*l**5 - 120*l**2 + 25*l + 7*l**4 - 20*l**3 = 0 for l.\nAnswer: -5, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10110?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8*v. Let k = -1 - v. Are k and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27773 - -26214?\nAnswer: -1557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 4, -5, 21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -32 (c) 1 (d) 29\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*s**2 - 2 + 137*s + 2*s**3 - 91*s**2 in the form p + z*s + k*s**3 + o*s**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-7 + 1 - (5 - 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 749 and 231.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**4\/2 - s**3 - 3*s**2\/2 + 3*s - 6. Let w(b) = 8 - 8*b**2 - 9*b + b + 3*b**3 + 3*b**3. Calculate -8*h(q) + 3*w(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 85 = 6*i - i, 0 = -j + 5*i + 5. Suppose 9 = 3*t - 4*w, -7*t + 3*w = -2*t - j. What is the derivative of f**t - 2 + 1 + 2 wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(-2*sqrt(4)) + sqrt(36) + sqrt(216)\/(sqrt(6)*1))\/(((2*sqrt(108))\/sqrt(9) + (sqrt(132)*1)\/sqrt(11))*4).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a - 23. Let q(p) = -4*p + 12. Let h(n) = -5*q(n) - 2*u(n). Let i be h(12). Sort 3, i, 4 in increasing order.\nAnswer: 3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17416900 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (9 - (1 + -20 + 87 + -86))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 390293702 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 2. Let v(y) = -y**2 - 4*y**2 - y**2 + 8 - y**3 + 7*y. Is v(s) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/40 - (-2)\/5. Which is greater: 1.4 or f?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -377*g + 8782*g**3 + g**2 + 421*g + 904*g + 2 + 687*g wrt g?\nAnswer: 52692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1720 + -2577. Let p = -552 - f. List the prime factors of p.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(3*1 - 0). Let p(f) = 126*f**2 + 14*f + 2 - 14*f - 64*f**2 - 61*f**2 + 0. What is p(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 116. Let w(u) = -u - 13. Give d(w(k)).\nAnswer: 3*k + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -258 (base 13) to base 3\nAnswer: -120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 8 (b) 5\/8 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or 12444\/349?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15726.3 - 15726. Which is the biggest value? (a) -2\/13 (b) g (c) 4.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 4 (b) -2 (c) -1 (d) -9 (e) 5.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(119)*3 - -1*2*sqrt(119))\/(3*-2*sqrt(175) - 6*(sqrt(175) + (sqrt(175) - (sqrt(175) - -2*sqrt(175)) - sqrt(175)))).\nAnswer: 17*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2109\/8 less than -265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -189, -942, -2169, -3870, -6045?\n\"Answer: -237*y**2 - 42*y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6165*d + 13076*d - 6917*d - 1 + 1.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17497 + -17359. Calculate the highest common factor of h and 16077.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -17, -5, 208, 4 in ascending order.\nAnswer: -17, -5, -1, 0, 4, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z + 9163 = 33691. Calculate the remainder when z is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 4*q + 14. Let f be w(6). Let r = 68 - f. Calculate the lowest common multiple of r and 62.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/6 and ((-84)\/(-330))\/((-8)\/10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072853374 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, x: 2, c: 2, f: 1, i: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*k - 660*k = 228 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9 + 19009*r + 1 + 17. Let o be i(-3). What is o rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 541 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -35127, -251 in descending order.\nAnswer: 2, -251, -35127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1756 (b) -9.3 (c) 2 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444921862 take away -0.011?\nAnswer: 2444921862.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1)\/((-1)\/(-3)). Let v = 0.914 + -0.514. Which is the nearest to 1? (a) v (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.16 + -2.2456. Let o = i - -0.09. What is o rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -11*x**4\/7 + 268*x**3\/21 - 188*x**2\/7 + 32*x\/7 - 6960. Solve i(b) = 0 for b.\nAnswer: 1\/11, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2288943*u**4 + 113*u + 13173 wrt u?\nAnswer: 27467316*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 87*s**3 - 2*s + 1. Suppose -6*b + 2*b = -16. Suppose -4*c = -4*o + b, 7 = -c + 5*o - 2. What is the units digit of q(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55505 + 97668. What are the prime factors of o?\nAnswer: 11, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + k**3 - 1 + 3 - 4.\nAnswer: k**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -2*i + 53 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -45*12\/((-4)\/1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {t: 4, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 54)*(-1)\/2. Suppose 81 + y = 5*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1801, 1803, 1805, 1807?\nAnswer: 1809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182980 is divided by 182276.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 - 6*z - 2. Let m be s(4). Suppose m*i = 34*i + 360. What is the highest common divisor of 36 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. What is the remainder when (j - 2) + 55\/5 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 5*d = -21*s - 15, -23 = -5*s + d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**4 - 31195*g**3 - 281265*g**2 + 654815*g + 7653800 = 0. What is g?\nAnswer: -7, 5, 6248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17\/165 - 2\/165. Suppose -4*o - 5 - 3 = 0. Let n be (-1)\/(-3) - o\/3. Put 0, n, h in descending order.\nAnswer: n, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 + (107 - 7) + -36.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + -5 - (1018 - 1012)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546508370?\nAnswer: 2, 5, 54650837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, t: 1, e: 7, o: 4}. What is prob of sequence ttde?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000264877846 to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -454 + 466. Suppose 5*t - 17*u - 2570 = -b*u, 2*u = -t + 514. Does 50 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2576*j + 2590*j + 70 = 0. Sort -2, -13, 3, -1, j.\nAnswer: -13, j, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (-6*(sqrt(931) - sqrt(931)*4) - sqrt(931)) - (sqrt(2736) + sqrt(2736)*3 + sqrt(2736) - (sqrt(684) + 2)))**2.\nAnswer: 288*sqrt(19) + 98500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 42423.9 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 77*y**3 + y**2 + y - 1. Let j be c(1). Suppose 2*k = 8*k - j. Calculate the smallest common multiple of 2 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224)*-1 + sqrt(224))*-5)\/(-6*sqrt(64)))\/((sqrt(3872) + sqrt(3872)*2)\/(sqrt(4)*-2*2 + sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5167, 8101, 11035?\nAnswer: 13969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -226147182.8 to the nearest one hundred thousand.\nAnswer: -226100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16683?\nAnswer: 3, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3181.\nAnswer: -2\/3181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4006334 (base 7) to base 15\nAnswer: 9516b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 532861 - 768945. Let n = u - -709884. Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a**3 - 3*a**2 + 2*a - 3. Let q be m(-3). Let s(w) = w**3 + 10*w**2 - 79*w - 45. Let j be s(-15). Calculate the greatest common factor of j and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 7*d**6\/15 + 8*d**5\/5 + 11*d**4\/6 + 2*d**3\/3 + 11*d + 4. Let a(y) be the first derivative of v(y). Factor a(g).\nAnswer: 2*g*(g + 1)**2*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(13)*2 - (-2 + sqrt(13)*2 + -3*sqrt(52)\/sqrt(4)).\nAnswer: -sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 13*h + h**2 - 6*h + h**3 - 8*h + 7088 as j*h**2 + z + n*h + i*h**3 and give z.\nAnswer: 7088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34*-4)\/(1\/(-2)). Let z(x) = 29*x**2 + 3*x + 1. Let v be z(4). Let g = v - k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = 14*n - 57*y - 149 + 11, n + 4*y + 14 = -9 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 14*j**2 + 5. Give d(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 285.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 379\/7 + -54. Let v = -7.2 + 7. What is the nearest to 0.1 in h, -0.1, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:32 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11807*k**6 + 63822*k**2?\nAnswer: 1416840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(8\/11))**29)**(-44))**(-14) assuming o is positive.\nAnswer: o**12992","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 42*v**2 - 80*v - 3. Let o be w(-40). Let j(p) = -23*p**3 + 35*p**2 + 7*p - 3. Let t(i) = i**3 + i + 1. Let q(y) = o*t(y) - j(y). Factor q(n).\nAnswer: 5*n*(n - 2)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/84 and 59\/36126?\nAnswer: 505764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 425246 + 0.4.\nAnswer: 425246.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f. Let c(t) = 14*t. Determine -2*c(b) - 3*x(b).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 2:07 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 334373561*z - 132486364 wrt z?\nAnswer: 334373561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m + 4*z - 20, 0 = -807*m + 805*m - 4*z + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202980873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68495*f**4 - 51080*f**2?\nAnswer: 1643880*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*x + 11*j**3 - 3970*j**2*x + 3*j**2 - 5*j*x + 3*j + 46671 wrt j?\nAnswer: -6*j*x + 66*j - 7940*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*b = -41*b + 1256 + 379 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0*f**5 - 1 + 0*f**3 - 36*f**2 + 0*f**4 - 4*f + 1\/10*f**6. What is the derivative of q(u) wrt u?\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -14*f + 3. Suppose 5*v - 117 = 7*v - 5*i, 0 = 5*v - 4*i + 284. Let s(d) = -266*d + 56. Determine v*k(u) + 3*s(u).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*m + 5*g, 0 = -2*m + g - 5*g + 10. Suppose m*c = -4*c + 931. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33106, -33110, -33114, -33118, -33122, -33126?\n\"Answer: -4*i - 33102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 3:01 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -39. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/6 + 3873359*g\/3 + 15002909942881\/6 = 0.\nAnswer: -3873359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**5\/60 - k**4\/12 - k**3\/6 + k**2. Calculate the remainder when -5 + 9 - (-49)\/(-14)*-2 is divided by s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123605 times 2?\nAnswer: 0.24721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 11*v**2 + 2*v - 15. Let h be n(11). Let l = 506 + -507. Let x = h + l. Calculate the least common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + 10 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*v - c + 4, -4*v - 5*c - 11 = 0. Suppose v = -14*j + 13*j, 105 = 2*o - 5*j. What is the remainder when o is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2. Let r(p) = 23*p**2 - 16*p**2 + 9*p**2. What is l(r(i))?\nAnswer: 768*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 - 163 - (0 - -37).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s - 1. Let p = 7 + -7. Suppose p = l - 1. Determine w(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14907559 to the power of 1\/2, to the nearest integer?\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**6 + 82 + 4*i**2 - 82 wrt i.\nAnswer: 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 + 3) - 3) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 5*f - 2. Let s be k(-1). Solve -s*t = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h**2\/7 + 2209308*h\/7 = 0.\nAnswer: 0, 368218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -234 - -411. Calculate the remainder when v is divided by -7 + 5*259\/35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*i**6 + 2*i**3 - 288*i**2 wrt i?\nAnswer: -5640*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4585551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 8*g + 4. Let x be o(-5). Let h = -2395 - -2439. Is 17\/(-4)*h\/x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 22*g + 138362 - 138828, 0 = -2*g - 2*h + 34 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:14 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1197*y**4 + 14*y**5 + 1197*y**4 + (2*y - y - 3*y)*(-2*y**4 - 5*y**4 + 5*y**4) + (-2*y + 2*y**2 + 2*y)*(-4*y**3 + 3*y**3 + 4*y**3).\nAnswer: 24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*o = 31, -2*o - 4 = -4*l - 2. Let a(q) = 2*q - 12. Let i be a(6). Let z be 1*(-3)\/2*2. Sort z, i, l in ascending order.\nAnswer: z, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4235.172ng?\nAnswer: 4.235172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8203 + -5.01. Round p to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -20. Let q = 50 - -14. What is the remainder when q is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 186 - (-1 - 0) - -2. Suppose -t = x - 193. Which is the closest to -1? (a) x (b) 3\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*g - 95906 - 114639. What are the prime factors of g?\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 21. Let g be b(21). Let y = -257 + 419. Suppose g*u = -u + y. Calculate the greatest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 9*c**2 + 8*c + 17. Let u = 21 - 11. Let k be v(u). Let t(m) = -56*m - 11. List the prime factors of t(k).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -62. Let b be -1*(4 + 177 - j\/2). Calculate the common denominator of -1 + (-6)\/15 + b\/(-45) and 37\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.44 - 10.44. What is the nearest to 1 in -5, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (93\/(-12))\/((-52)\/1456). Calculate the highest common factor of 35 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186*g - 2 + 52 - 187*g)*(-1 - 3*g**2 - 3*g**2 + 4*g**2 + g).\nAnswer: 2*g**3 - 101*g**2 + 51*g - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2376 - -15548. Suppose a = -5*i - 7076. What is i rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 5*a = 17*j + 1001, -2*a = 2*j - 514. Let x(r) = 2 - 129*r + j*r - 126*r. Calculate x(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 7:03 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2. Let h(m) = 2*m**2. Suppose -d + 3*f + 5 = 0, 0 = -5*d + 2*f - 7 + 32. Let r be (0 - -2)\/(5\/(-10)). Calculate d*q(s) + r*h(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0387724 + -3870.33\nAnswer: -3870.3687724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(112\/(-2)))\/(1\/2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -34.01. Put -4, z, 2, 1\/6 in ascending order.\nAnswer: -4, z, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/51 + 219651\/796314.\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctcctffccccctt. Give prob of sequence fccf.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*n - 344. Suppose 4*s - 71*s + 1144 = 21*s. Calculate the remainder when n is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -29*h**3 - 6*h**2 - 20*h + 38. Give c(2).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, g: 1}. What is prob of sequence mm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -5*n**3\/6 - 3*n + 5. Let d(i) be the first derivative of q(i). Let o(c) = c. Calculate d(o(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 16712184?\nAnswer: 1671218b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/3, -16\/7, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1 - sqrt(117)) + -1 + (-2 + sqrt(117))*-6)**2 - (6*(-3 + -1 + sqrt(117))**2 + 4).\nAnswer: -384*sqrt(13) + 6807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d468a (base 16) in base 15?\nAnswer: 122bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 2. Let j be o(-1). Suppose -j*x = -3*x - 298. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15 + 1 - 13*g - 3. Let s(t) = -3*t + 3. Let l(k) = -2*k + 10. Let z be l(14). What is z*s(q) + 4*c(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3179856 and 1488.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -21*s + 106 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0326 + 0.9474. Let j = 0.68 - r. Let q = -9 + 12. What is the fourth smallest value in 2\/15, -2\/3, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10881312*u**5 - u**4 + 39376370*u.\nAnswer: -217626240*u**3 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 2*g**3 - g**3)*(-8*g + 66 - 66) + 2*g**4 - 6*g**4 + 3*g**4.\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - p + 3*p - p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 12:45 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2414 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.706 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -24, 1.\nAnswer: -53, -24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.0017, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 371166 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/24 - h**3\/3 + 6*h**2. Let q be v(-6). Suppose -1 = -k - 6, -q*f = 5*k - 223. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 123\/(-21) + (-3)\/21. Let k(r) = -r + 2. Calculate the remainder when 21 is divided by k(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -n - 9*n. What is the remainder when 108 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 - 46. Let q = -3 + y. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/5 in 1.4, 0.01, -1\/4, 0.04, 24, 2\/3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-7 + (4 + -2 - 0) - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-496)\/93*(-228)\/16*5\/10?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 582120223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644.359 rounded to 0 dps?\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/24 + q**3\/6 - 29*q**2. Let u(k) = 2*k**2. What is w(u(t))?\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 180*p**2*t**2 - 115*p**2*t - 31413446*p**2 + 478*t with respect to t.\nAnswer: 360*p**2*t - 115*p**2 + 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219.99556 - -220. Round r to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9920 + 9*l + 13*l**2 - 9920 as q + d*l**2 + p*l and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1422 + -720. Let h = p - -433. Let v = 1135.00000553 - h. Round v to 7 decimal places.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000222 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than 37.984749?\nAnswer: 37.904749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1796 and 5.\nAnswer: 8980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 8*p - 2. Let m be y(-4). Suppose 29*b = m*b - 891. Suppose -b = -5*l + 1064. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 2*h**3 + 0*h**2 - 7 + 0*h - 1\/4*h**4. What is the third derivative of t(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.32826 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2430 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 15 = -4*n. Let c be 76\/16 + (-16)\/(-64). What is the nearest to 2\/7 in -0.1, n, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 at most 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z + 31*z = 58*z - 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58071666?\nAnswer: 2, 3, 9678611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 4*o**2 + 2*o**2)*(o - 40 + 40)*(-3*o + 2*o + 2*o + (-2 + 0 + 0)*(3*o + 0*o - 5*o) - 2 + 2 + o).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 848cc8 + 0?\nAnswer: 848cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6730380 by -5.\nAnswer: -1346076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(50)\/sqrt(10) + (sqrt(360)\/sqrt(9))\/sqrt(8))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*p**3*v**3 - 2239*p**3 + 103*v**3 wrt v?\nAnswer: -21*p**3*v**2 + 309*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7*24\/(-462)*-1\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 85 - 85 + 17*l**2 + 2*l. Let p be t(2). What is the highest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkgghgtkktk. Give prob of sequence hkth.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from {n: 3, e: 5, r: 2, o: 4, f: 5, s: 1}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 21*n. Suppose 0 = 11*k + 13 + 42. Let t = 12 + k. Let i(b) = -11*b + 5*b + t*b. Give i(p(d)).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20846 greater than -698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 11 + 28 = 0. Calculate the highest common factor of 27 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5, 1.4, 0.5, -1\/5 in decreasing order.\nAnswer: 28, 5, 1.4, 0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = 73*n + 199 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpppdpfd. What is prob of sequence fk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 - 154. Suppose -8*c - 52 = -6*c. Is c at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63454 is divided by 110?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-4))\/(6\/3448)?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t + 1. Let z = 128777 - 128661. What is the remainder when z is divided by m(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2. Let z(g) = -g + 3. Let h(r) = -3*m(r) - 2*z(r). Let a(i) = 11*i. Give a(h(b)).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 452\/69 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o - 5*m + 162, 0 = 3*o - 4*m - 162. What is the third derivative of 2*r**2 + o*r**5 - 17*r**2 + 2180*r - 2180*r wrt r?\nAnswer: 3240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19614*g**4 + 125525?\nAnswer: -78456*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -253309056?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 2*z**2 - 23 - 20*z - 27 + 64. Let h be b(10). Solve 4*q + 12 = m, h*q = 5*m + 8*q + 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*z = -382*z + 462 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -6\/5, -0.2, -47524?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -157371, -314856, -472341, -629826, -787311, -944796?\n\"Answer: -157485*i + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137863?\nAnswer: 11, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.369.\nAnswer: 0.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21864037 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 + -108.999947. What is o rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1231, 1244, 1257, 1270?\n\"Answer: 13*d + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73176619 is divided by 24890.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (226 - 229)*4\/66\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451407 is divided by 16120.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 982426493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -1.8. Let f = 3 + u. Let w = -68 + 67. Which is the second smallest value? (a) w (b) -5\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32413 - -433?\nAnswer: -31430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1100) + (sqrt(1100) - -2*sqrt(1100) - sqrt(1100)))**2 - (3 + sqrt(11) + -1)*-2.\nAnswer: -39596 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:41 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8473 + -0.0227. Let x = 186 - 177.73. Let k = x + p. What is k rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/97064512 and -13\/133463704.\nAnswer: 1067709632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*d + 5*x, d + 3*d + 3*x - 79 = 0. Find the first derivative of 30*z**4 - 8 + 31 - 113*z**4 + d - 13 wrt z.\nAnswer: -332*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 - -301 - -13 - -1 and 1177?\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y. Let d(g) be the second derivative of 352*g**3\/3 - 75*g + 15. What is d(s(u))?\nAnswer: -2816*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 398 - 12. What are the prime factors of b?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2022 - -201010?\nAnswer: 203032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z + 1 - 3 - 25*z + 27*z as h + b*z and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12524 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*a**5 - 3*a**4 - 287*a**2.\nAnswer: 1380*a**2 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 46 = 3*q, s + q + 2*q = 5. Suppose -22 = -n - s. Solve -6*h + h + 5 = -d, -h - 25 = n*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g + 6. Let z(r) = 12*r + 19*r + 9*r + 7*r - 41*r - 7. Determine -6*y(s) - 5*z(s).\nAnswer: 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**0)\/y)**(2\/105)\/((y*y\/(y\/((y\/y**(-4))\/y)))\/y**(2\/7)) assuming y is positive.\nAnswer: y**(-493\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-124)\/2*(359\/(-180) - -2). Let y = o + -1\/18. Let m = -32 - -32.1. Which is the smallest value? (a) m (b) -1\/11 (c) y (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 33 = 22. Solve 0 = -p*t + 26 - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 1244*y**2 - 2103881*y - 8435364.\nAnswer: (y - 959)*(y + 4)*(y + 2199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -148, -308, -526?\n\"Answer: -29*l**2 - 15*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, d: 4, t: 10, q: 1}. What is prob of sequence dtzz?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c\/(c*c\/(c\/(c*c**(1\/4)*c)))*c)\/c*c)\/c))\/(c**(2\/7)*c))**(1\/72)*((c\/(c*c\/c**(-1)*c))**0)**(3\/26) assuming c is positive.\nAnswer: c**(55\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-4) + (-1 - (-6)\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6747 + 4.48. Round z to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-525)\/35.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -9 - (1 - -3) - (94 + -59).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121357139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 91 + (12*6\/408 - (-82733)\/3791)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-301)\/42 + 7)\/((-2)\/24). Solve -o*i = -4*h + 14, -5*i - 3*h - 22 = -0*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22185 is divided by 3155?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + 6*(sqrt(3) + (sqrt(3) + 3 - sqrt(3))**2 + 5) + ((sqrt(18) + sqrt(162))*-3)\/(1*(sqrt(18)\/sqrt(3) + sqrt(6))).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**42)**(-45) assuming n is positive.\nAnswer: n**(-1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6*v = -10*v + 5, 0 = -3*i + 3*v - 6. Solve 0 = 2*b + 4*a + 2 + 10, 5*b = -i*a - 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 23. Let g be u(-9). Solve g*o - 4*n = 2*o + 15, -2*n = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**2*t - 3*f**2 - 54*f*t - 50*f wrt t?\nAnswer: 3*f**2 - 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2\/(-4))\/((-11)\/44))\/1*-32590. What is z rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426\/(-4)*(640 + -16)\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16403211 + -140?\nAnswer: 16403051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1174 divided by -225.\nAnswer: -1174\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 4*p**2 + 15*p - 7*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4264\/915 - -2\/305. Put w, -0.5, 1 in descending order.\nAnswer: w, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147861259 times 0.4\nAnswer: 59144503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 276 = -2*h + h, 1 = -h. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3038554 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 429.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 3*l**4 - 3*l**4 + (3*l**3 - 3*l**3 + l**3)*(-23*l - 19*l + 23*l) - 1 - l**4 + 1.\nAnswer: -22*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18\/168*70\/21*24\/(-30)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118902858?\nAnswer: 2, 3, 19817143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.317 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -130*(9\/(-8))\/((-405)\/108)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 - 44*n**2 + 20*n**2 + 13*n**2 + 3*n**3 - 2*n.\nAnswer: 3*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/43)\/(q*q**2) assuming q is positive.\nAnswer: q**(-131\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -507.2.\nAnswer: 1014.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 29 = -3*i, -i + 13 = -3*k + 7*k. Suppose 4*p - 4 = k. Differentiate 2*t + 2 - 3*t + p*t**4 + t wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*g*j*w**2 + 2*g*j - g*w**3 - g*w + 2*g + 120987*j*w**3 + 523*w**2 - 2 wrt w.\nAnswer: -6*g + 725922*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 79366\nAnswer: -31746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 140931646 to the nearest one hundred thousand.\nAnswer: 140900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 less than 57217129?\nAnswer: 57217093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x\/(x\/(x\/x**17*x)))*x*x)\/x*x))\/(x\/(x\/x**(12\/11))))\/((x**10\/x)\/x**(-4\/9)) assuming x is positive.\nAnswer: x**(-2627\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5025 and 66975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49098 divided by -10.\nAnswer: 24549\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*d + 499 = -0*u, 0 = 5*u - 3*d - 2495. List the prime factors of u.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23503 - -114?\nAnswer: 23620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, g: 4}. What is prob of picking 1 g and 1 z?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 126*n - 51. Let m(r) = 5*r - 2. Let y(z) = -153*m(z) + 6*w(z). Suppose 5*h - 32 = -7. Let a(d) = -h*d + 17*d - 13*d. Determine a(y(j)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 847 or -236884?\nAnswer: -236884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, -5, -37, 84, 12 in decreasing order.\nAnswer: 84, 12, -5, -37, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*(-9)\/27\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**4*r)\/r))\/r**1)**8 assuming r is positive.\nAnswer: r**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7)*(15 + 2\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4707 = 28*g + 2517. List the prime factors of -8*g\/(-15)*(10 - 15).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 13892*f\/3 - 27776\/3.\nAnswer: -2*(f + 2)*(f + 6944)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27426199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gigi when four letters picked without replacement from {i: 2, g: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -94, -166, -222, -256, -262, -234?\n\"Answer: s**3 + 2*s**2 - 85*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -50.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**0\/f))**(1\/52) assuming f is positive.\nAnswer: f**(3\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1. Suppose -2*v + 5*x + 19 = 0, 4*v - 3*x + 2*x - 11 = 0. Suppose -v*k - 160 = -7*k. Let d(o) = k - 17 - 3*o**2 - 20. Determine d(y) + 5*q(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 203 = -11*c. Solve 0 = x - 3*y + 5, 4*y = -3*x - y - c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 5 - -2) + 10\/1. Let r be -60*o\/((-54)\/4). Calculate the highest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90.854 - -91. Let r = -13.146 + o. Let g = 29\/5 + -256\/45. Which is the third biggest value? (a) g (b) -1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 34 + 10 = 0. Calculate the lowest common multiple of 13 and t.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**3\/3 + 7*s**2 - 5*s + 2. Let u be i(10). Suppose -2*w + 53 = -u. Is 22 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153510404 (base 6) in base 3?\nAnswer: -20010121022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 5*h + 5. Let m(v) = v + 8. Let j be m(-6). Let l(a) = 2*a - 3 - a**j + 1 - a + a. Suppose -5*z = -3*z - 20. Determine z*l(u) + 4*b(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 8*(-2)\/8)\/(2\/(-76)). Solve 7*p = w - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -39*w - 767 + 24*w + 604. Determine a(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70989, -283623, -638013, -1134159, -1772061?\n\"Answer: -70878*f**2 - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 80*j + 454. Let r be k(6). Solve -r*m = -7*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, -0.3, -1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Solve r = -4*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*o**2 + 82*o**2 - 24*o**2)*(-3*o + 7*o + 8*o + (-2*o - 4*o + 5*o)*(-1 + 0 + 2)) + (-7*o + 2*o + 4*o)*(-5*o**2 + 2*o**2 + o**2).\nAnswer: 838*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 132.9.\nAnswer: -66.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 5:45 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 + 4943005*z**2 - 21*z - 43683 wrt z?\nAnswer: 20*z**3 + 9886010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 6*a**2 + 6*a + 1. Let g be k(-7). Suppose t = -3*t + 140. Suppose q + 2*l + 7 = 0, -5*q + 3*l = -l - t. Solve 0 = q*b - b - g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21110211100212 (base 3) to base 9\nAnswer: -7424325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 28 + 2*v - 20*v**2 - 295.\nAnswer: -20*v**2 + v - 323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20776080 and 9189420.\nAnswer: 477849840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:51 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666 and 666?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2254153?\nAnswer: 11, 204923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 5*d + 1, 4*m = -2*d - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:52 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122\/(-10) + ((-224)\/8)\/(-140)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 10.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n = -1192. Let v be 6 + -4 - 1 - n. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/256 and -25\/36557632?\nAnswer: 146230528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2. Let z(s) = 0*s**2 + 3 - 3 - s**2. What is z(u(h))?\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 7*q**2\/2 + 14. Let f(k) = 3*k. Determine h(f(z)).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 45 + 73. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjbrrruggbbgjrrrbrb. Give prob of picking 1 b, 1 u, and 2 j.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/20 - 100\/(-80)*(-34)\/(-175). Put 0.01, 1, s, -12\/19 in decreasing order.\nAnswer: 1, s, 0.01, -12\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8, -3\/2, -14245, -0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzhuiuuhuuhhu. Give prob of sequence uih.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + 0 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 2 - 3*a + 0*a**3 - 1\/2*a**4 + 0*a**2. What is the first derivative of g(f) wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642764066 a multiple of 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 131 + 43 = -4*d, -2*d = -2*r + 54. What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/v)\/v**(-6)*(v**(-3\/8)\/v)\/v**(-3) assuming v is positive.\nAnswer: v**(85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x. Let r(g) = 23*g + 94. Let o(d) = -2*l(d) + r(d). Let y be o(-6). Which is the third smallest value? (a) y (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3131 + 3172. Suppose -2*q = -111 - 35. What is the remainder when q is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(684) + 2)*-1)**2 - (-5 + 0 + sqrt(684) + sqrt(684) - (1 + sqrt(684))*-6)**2)*6.\nAnswer: -225702 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 5*g. Suppose -2*a + g*a = 100000. What is a rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 = 3*k - 18, -3*u = -2*k + 14. Suppose 3*f + 6 - 21 = 0, 0 = 5*t - k*f - 995. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.63 (b) 72 (c) -2\/503\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -739, -6, 2, 3, -3 in ascending order.\nAnswer: -739, -6, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 2*x + 12, 5*p + 25 = -6*x + 3*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*h - 2, 5*h - 8*a + 3*a = -30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 0*k - 8 - 2. Suppose -2*q - 2 = -q. Let u(i) = 0 - 2 + 0. Determine q*w(t) + 9*u(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 2*i**7\/21 - 2*i**6\/15 - 6*i**5\/5 - 2*i**4\/3 + 10*i**3\/3 + 6*i**2 + 3*i. What is x in d(x) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -965*m**2*n**3 + m**2*n**2*q - 2087*m**2*q + 4*m*n**3*q + m*n**2 - 8*n**3*q + 46*n**3 + 2*n**2*q - 2 wrt m.\nAnswer: -1930*n**3 + 2*n**2*q - 4174*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4613\/34485 + 1\/2299. Do -0.05 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.6 + -36.6. Let v be -2 + -3*(-5)\/3. Which is the fourth smallest value? (a) u (b) -4 (c) 2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4582918349 to the nearest integer?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -582*f**2 + 12 + 279*f**2 + 295*f**2 + f**3. Determine p(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - 1 - -9 - -18 - 1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/12 + 7*c**3\/6 + 5*c**2\/2 - 2*c. Let h(x) = 0 - 9 + 25*x + 144*x**2 - x**3 - 146*x**2. Let p be h(4). Give z(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 358 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(63) + sqrt(735)*2 + sqrt(15))\/(sqrt(300) + (sqrt(300) + -1*sqrt(300) - sqrt(300)) - (-4*sqrt(27) - sqrt(3))).\nAnswer: 46*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111437 + -10013?\nAnswer: -121452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3025 or -3024?\nAnswer: -3024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(3) - (sqrt(3) + sqrt(27)\/sqrt(9))*2)**2.\nAnswer: 12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003906 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 1cb91149?\nAnswer: -1cb91149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -22.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*48\/90)\/((-402)\/(-670))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 63080*b**2 + 182*b. Let q(s) = s. What is f(q(j))?\nAnswer: 63080*j**2 + 182*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnacccccccscccccn. What is prob of picking 1 n and 2 c?\nAnswer: 39\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 - 102. Does 173 divide m(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 246 + -236.7. Let p = z + -9.8. Which is the closest to -2? (a) p (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 1:36 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 61 - 49. Let k be -1*((-8)\/i - -7). What is the third smallest value in 2\/7, k, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1428\/5 - -198462\/695. Is 0 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279199632 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1791, 3759, 5899, 8211, 10695?\n\"Answer: 86*k**2 + 1710*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273792 and 418531?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 9:34 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (76\/57)\/((-8)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 - 2 = 0. Let g be o\/4*0\/1. Suppose -n + 14 - 2 = g. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -7\/2 - 17\/4*f**2 - 121\/4*f = 0.\nAnswer: -7, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69100.8 millennia to centuries.\nAnswer: 691008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + 69*y**2 + 307*y + 225. Let p(a) = -3*a**3 - 139*a**2 - 612*a - 451. Let s(x) = -6*p(x) - 10*v(x). Determine c so that s(c) = 0.\nAnswer: -3, -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**5\/10 + 2*m**4\/3 + m**3 - 15*m - 2. Let p(t) be the first derivative of s(t). Let p(z) = 0. What is z?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/13))**6*(o*(o\/(o*o**(1\/5)*o))\/o)\/o**13 assuming o is positive.\nAnswer: o**(-593\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1291399*a**2 - 1958091*a wrt a.\nAnswer: -2582798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 10*o**2 - 43*o + 18. Calculate k(5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445182214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/7)*q*q*q\/(q\/q**5)*q*(q\/q**(-3))\/(q*q*q**(2\/11)))**(-3\/5))**(-2\/87) assuming q is positive.\nAnswer: q**(1644\/11165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/162720 and 89\/45.\nAnswer: 162720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -435*a*j**2*o + 2703376*a*j**2 + 105*a*j*o - 1 wrt o.\nAnswer: -435*a*j**2 + 105*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 3403?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 56 = -31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(9)\/sqrt(3) - sqrt(3)) - (1 + sqrt(3)*1 + sqrt(3)))**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(-2 + -1 + sqrt(128) + -1)*4)**2.\nAnswer: -9408*sqrt(2) + 20833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-14)\/((v*v**(-1\/3))\/v)**(-1\/4) assuming v is positive.\nAnswer: v**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5\/4 (b) 5 (c) -0.4 (d) -3 (e) 8 (f) -12\/1411 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 4*j**2 + 1 + 4*j**2 - 2*j**2 to the form b*j + c + w*j**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9055755, 18111501, 27167241, 36222975, 45278703, 54334425, 63390141?\n\"Answer: -3*q**2 + 9055755*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 times 111?\nAnswer: -27639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4262522015 - 4262522015 - 24*p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/36 - u**3\/9 + u**2\/2 - 23*u. Suppose h(o) = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 34*l + 291. Let x be h(19). Let y be 4*(11\/55 - (-42)\/40). Solve y*r - 5*u - 10 = 0, 0 = -3*r - u - 0 + x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + 5 - 5 - 4*a as i*a + q and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -17185756\/11 and -1562340 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 16) in base 2?\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from {j: 1, u: 3, c: 1, x: 2, s: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -12 + 2*h + 11 + 15. List the prime factors of n(0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*sqrt(475).\nAnswer: 1 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 19*q**3 - q**2 + 66*q - 67. What is l(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 3*g + 1. What is the units digit of m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 7. Let s = k - -7. What is the least common multiple of (1 + -5)*(-1 + s) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**5\/60 + 7*t**4\/24 - t**3 - 8*t**2. Let y be g(5). Suppose -16 = -y*v + 16. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y + 5*j - 20 = 0, 3*j = 0. Solve y*v - 3 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3176262 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12081232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.8 and -6.5456 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((-10)\/95*10\/(-120)*57).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(17) - sqrt(68)) + (sqrt(187)\/(sqrt(44)\/sqrt(4)) - sqrt(17)) + (sqrt(17) + sqrt(17)*1 + sqrt(17))*-5*-2)**2.\nAnswer: 18513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5071258.8 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 53.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -34*w**2 - 103*w + 24. Give f(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 60 = -27*r. Find the third derivative of 11*t**2 - 5*t**2 + 9*t**2 + r*t**4 + t**2 wrt t.\nAnswer: 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -922.1, -3\/10 in ascending order.\nAnswer: -922.1, -3\/10, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -13433800 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**8\/20160 + u**7\/2520 - u**6\/2160 - u**5\/120 + 37*u**4\/4 + 60*u**2. Let z(l) be the second derivative of c(l). Factor z(w).\nAnswer: (w - 1)*(w + 1)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7*o - 9 = 0. Let q be (2\/4)\/(o\/78). Let k(y) = 10*y**3 + 2*y**2 + 2*y - 1. Let c be k(2). Calculate the greatest common factor of c and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 = -32487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - 267 - 9*s + 16*s - 6*s as l*s + m and give m.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((21*h + 4*h + 4*h)*(-1 - 2 + 5) - 3 - 2 + 25*h + 5)*(-4*h + 4*h - 2*h)*(6 - 2 + 7).\nAnswer: -1826*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23915638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 6, 1, 70 in ascending order.\nAnswer: 1, 6, 31, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*3*(-2)\/(-12). Suppose 0*f = -2*f. Let o be d*(1 - 2 - f). Solve o*g + 3 = -1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98017119809 take away -151.6?\nAnswer: -98017119657.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117097617?\nAnswer: 3, 7, 13, 53, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:53 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/4*8\/6. Find the third derivative of -u*m**3 + 17*m - 3*m**2 - 17*m wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Suppose -2*c = 3*c + 2*m - 30, -u*c + 5*m = 13. Suppose 9 + 0 = t + 4*w, 4 = -4*t + c*w. Sort 3, -4, t.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (7*1\/3)\/(1\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogogoggggg. Give prob of picking 1 g and 1 o.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*h - 6, -3*q - h = -17 + 46. Let a be (-266)\/(-2) + 0\/(-17 - q). Let j = a + 124. What are the prime factors of j?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 46. Let b be (-11)\/(-2) + p\/24. Suppose 0 = 5*w + b*v + 5, -w - 2*v = 3*w + 4. Is w at least 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let x(m) = -3*m + 7. Calculate -4*v(d) + 2*x(d).\nAnswer: -2*d + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8967.8 and 0.02?\nAnswer: -179.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5050511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 - 41 + 41.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 655 and 316515?\nAnswer: 41463465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -347898*p*q + 2*p + 1852456*q with respect to p.\nAnswer: -347898*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1757 = -245*k + 1462 - 524. Sort -4, k, 0, 1 in descending order.\nAnswer: k, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371789677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 924173089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.004 + 0.229. Let n = -0.025 + v. Does -17 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdfbuxdxuxux. Give prob of sequence bdf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/39))\/(u**19*u))\/(u\/(u*(u**(-1\/2)\/u)\/u)*u*(u**(-14)\/u)\/u) assuming u is positive.\nAnswer: u**(-503\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*c**5 - 2*c**4*n**3 - 6*c**2*n**3 - 15*c**2*n wrt c?\nAnswer: -4380*c**2 - 48*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -53*s - 2077. Let f be l(-39). Sort 1, f, -85 in increasing order.\nAnswer: -85, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 330*j**2 - 8 - 13 + 33 - 66 wrt j.\nAnswer: 660*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -49. Sort 4, -5\/2, w in increasing order.\nAnswer: -5\/2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from xnxnnnzxzjj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 759*g**3 + 155.\nAnswer: 2277*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 4, 11 in decreasing order.\nAnswer: 14, 11, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/(24\/11232*754)\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736330 is divided by 38726.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-21)\/3)*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 - 60*b**4 + 54*b**3 + 60*b**2 - 57*b = 0 for b.\nAnswer: -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20567 and 329543?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 24. Solve 2*t - 3*y + 8 = 0, y + 1 - s = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 30, 51, 74, 99, 126?\n\"Answer: v**2 + 16*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3. Let h(m) = m. Let v(z) = 3*h(z) - 3*u(z). Let c be v(-6). Let a = c - -13. What is the smallest common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 3, -8, -1\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 17*c**3 + 6*c**2 - 4*c + 4. Let s(k) = 13*k**3 + 5*k**2 - 4*k + 3. Give 6*s(l) - 5*w(l).\nAnswer: -7*l**3 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 792 + -688. Calculate the remainder when 305 is divided by d.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0*u + 4*u + 0*u - 5*u. Let x(r) = -2*r**2. Give d(x(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23947*i**5 + 2*i**4 - 18*i**3 + 986*i**2 - 7*i + 22.\nAnswer: 1436820*i**2 + 48*i - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120783571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(1 - 2))\/((-576)\/(-192))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-315)\/14)*9\/66\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*q**4 - 8820*q - 424\/5*q**3 - 4578*q**2 + 0 = 0. What is q?\nAnswer: -105, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/3)*d**(-10) assuming d is positive.\nAnswer: d**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 1170?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17419000 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38224*f**2 + 19113*f**2 + 6*f - 6*f + 19111*f**2 + 36*f**3.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-158)\/(-11850))\/((-5)\/45)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 13. What is the first derivative of 13 - 2 + 2*y**n + 17*y**4 - 2*y**3 wrt y?\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5449*p - 1 + 1 - 4981*p.\nAnswer: 468*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021606423 to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = -2*h + 6, 9 = -4*t + 3*h. Suppose -2*o = -3*x + 51, t*o - 4*x = -2*o - 54. Let i = 22 + o. Solve -q = -3 - i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.53 - -0.63. Let l(i) be the first derivative of i**4\/4 - 4*i**3\/3 - 2*i**2 - 2*i + 5. Let o be l(5). Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 4*b + 2. Let r be k(-4). Suppose -2*h = -4*d - 34, 0 = 3*d + r*d + 20. Solve -4*v - h - 15 = 4*c, -12 = 3*c + v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**3 + 27*p**2 - 56*p**2 + 29*p**2.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -2\/55 (c) 3\/4 (d) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, z: 6, n: 1, w: 1}. Give prob of picking 1 n and 1 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 9*z - 8. Let l be q(-8). Solve l*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10735.9 + -10735. What is the nearest to 3\/5 in u, -1, 0.004?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 10*p**2 + 6*p + 15. Let c be ((-22)\/(-4) + 0\/20)*2. What are the prime factors of u(c)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29\/7 + 32\/7. Let p be (-8)\/(-15) + 5\/(-25). Sort h, -4, p.\nAnswer: -4, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6807*o + 364995 = -70653 for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1824\/76 - (-7 + 5 + 8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + c - 2)*(-3 + 1 + 1) - 1 + 1 - 2*c)*(c**2 + 6*c**2 - 2*c**2) to the form a*c + g*c**2 + s + w*c**3 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 113*o - 108*o - 52, -4*o + 40 = 3*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*h + 140*h = 3560. Round h to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 3*t**2 + 5*t - 6. Determine y(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:59 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*r**3 - 53*r**3 + 2*r + 4*r**4 - 3*r**2 to the form w + v*r**4 + o*r + h*r**2 + n*r**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5110 and 592340.\nAnswer: 43240820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 + 8 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 6, -2*o + 5*s = -0*s - 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -67. Let f(w) = w**2 + 7*w - 14. Let h be f(-9). Sort l, -3, h in increasing order.\nAnswer: -3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 1. Let m be h(-3). Suppose -m*s - f + 87 = -s, -3*f = 4*s - 111. Let d = s + 25. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121426147897010 + 0.4?\nAnswer: 121426147897010.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 3*j**3 - 4*j**3)*(-1 + 0 - 3)*(-3 + 0 + 0).\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -34*q - 110. What is the tens digit of h(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -774012*f**5 - 39*f**3 + 128255602*f**2 wrt f?\nAnswer: -46440720*f**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.525346 - 12691567.\nAnswer: -12691577.525346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -l. Let r(s) be the third derivative of 0*s**4 + 0*s**3 + 0*s + l*s**2 + 0 - 1\/30*s**5. Let m(a) = a. Calculate r(m(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*b + 1 = 0, 5*q + 3*b = -2*b. Sort -8, q, -6 in ascending order.\nAnswer: -8, -6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56730 - 510568\/9. Let i = 36 - 26. What is the second smallest value in c, 6, i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*j - 504*j**4 - 203*j - 5 + 26*j wrt j?\nAnswer: -6048*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 463 + -61. Suppose 9*o - c = 984. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*f**4 + 327*f**3 - 45222?\nAnswer: 40*f**3 + 981*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*l + 16, 3*j + j + 22 = -5*l. Let h = j + 12. Suppose 2*g + r = g + h, 10 = -5*r. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19587116 is divided by 356?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*t - 929, -4*z - 122 = 4*t - 1362. Suppose 41 = -2*f + z. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 3*p. Solve p = 3*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14722266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 2 i when four letters picked without replacement from {b: 4, s: 3, d: 1, w: 2, o: 1, i: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)\/(sqrt(24)\/sqrt(8)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3708 + 2039. Let b = 3510 + p. Let x = 2608 - b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from kmgmkvmqkqmoqko.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -11311215\/67 = -168825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)*g\/(g*(g**(3\/4)*g*g)\/g))**(-6\/31)*(((g\/((g\/g**(-2))\/g*g)*g*g)\/g)**(-3\/7))**(-7\/2) assuming g is positive.\nAnswer: g**(-408\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 929677339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:51 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/88044 and -37\/68.\nAnswer: 1496748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 - -210. Suppose -4 = -2*f, 4*f = -4*r + 45 + b. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 14) to base 13\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129900 and 1125.\nAnswer: 1948500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1856 + 954. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = c + 17, 0 = c + 2*c + 3*j + 69. Let i be ((-14)\/c)\/(2\/27). Which is smaller: i or 11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-9 - (5 + 16 + -13)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.31 + 0.31. What is the third biggest value in -17, 0.2, i?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*a - 0*h - 6, -4*a + 5 = -3*h. Let d = -0.7 + 1.4. Let i = -0.5 + d. What is the closest to -2\/5 in 0, i, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1815 - -2685. Suppose t - 240 = 5*u + 60, -5*u = -3*t + q. What is the third derivative of t*y**2 - 4*y**6 - 294*y**2 - 5*y**6 wrt y?\nAnswer: -1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 570 + 13 = 0. Does 36 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -4*c - 15, -i - c = -14. Suppose -7*b = -i*b + 350. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -7, -19, -45, -91, -163, -267?\n\"Answer: -p**3 + 2*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0516 + 0.2516. What is the second biggest value in 3, u, -0.1, 8.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -294.8 - -11.8. What is the second biggest value in 1, j, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46.045 and 0.6?\nAnswer: 27.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b = -105*b - 121*b - 9393 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7997 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + 3*y - 72 - 105 = 0, -4*q - 3*q - 240 = -2*y - 126 - 164 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -3\/20*o**5 + 0*o**2 + 0 - o + 1\/4*o**4 - 1\/9*o**3. Solve c(w) = 0 for w.\nAnswer: 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-171)\/152*(-64)\/(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189 - -182) + (1 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285*a**2*j**4 + 3*a**2*j*s - a*j**4*s - 841*a*j wrt j.\nAnswer: -3420*a**2*j**2 - 12*a*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3815 = 4*p + 70733. Let l = p + 10118637. Round l to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18920.6 + -2860962.\nAnswer: -2842041.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 16*v**3 + 3*v**2 + 32*v - 3. Let w(q) = 12*q**3 + 3*q**2 + 33*q - 2. Determine -2*d(r) + 3*w(r).\nAnswer: 4*r**3 + 3*r**2 + 35*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4000054 + 2.4. What is n rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 686 = 5*l - 28*l + 610 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -462*n + 14751 - 429 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Suppose c = -d + 23 + 35. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -i - 5, 0*i + 5*d = -2*i + 16. Solve 0 = -i*h + 2 - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5643.\nAnswer: 5\/5643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61\/12 - 21\/4. Calculate the common denominator of p and -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29288470 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21 - 9*q**2 - 105*q - 22 - 35 - 40 + 10.\nAnswer: -3*(q + 11)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 5*u + 6. Let r be g(5). Let c(b) = -b**2 + 8*b - 7. Let y be c(r). Let n(o) = o**3 - 5*o**2. Give n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 175, 394, 723, 1174, 1759, 2490?\nAnswer: 3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -639\/2921176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2145 - -1195. Let a = 3924 + -2304. Let v = d + a. What is v rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 21. Let w(v) = -v**2 - 1. Determine i(m) + 2*w(m).\nAnswer: -3*m**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.89879 + -767?\nAnswer: -737.10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 315530 * -0.1.\nAnswer: -31553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 83 = y, 4*y - 92 = -31*j + 29*j. Solve 2*f + 8 = -4*g, -5*g - j = 2*f - 7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42195936 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((27\/6)\/(-9)). Calculate the highest common factor of 22 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:30 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2189 is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjv when three letters picked without replacement from ujjvjuvvjuuu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102\/30 + 2\/(-5). Suppose -4*m - 154 = -3*q, -4*q = x*m - 19 - 228. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Let s = -1 - -3. Let d(k) = -k**2 - s*k**2 + 0*k**2 + 4*k**2. Give d(h(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8483?\nAnswer: 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - l + l)*(2 - 3 + 0)*(-4*l + l + 4*l) to s*l**2 + w*l + d and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, 7212 in decreasing order.\nAnswer: 7212, 17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126771439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than -961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 7*q**2 + 0*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 242894518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*i + 20 + 104 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*d - 5*d. Solve 2*w + 4 = -d*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8 - -4)*(((-4095)\/(-20))\/7 - -4) is divided by 124.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -39304*j + 31. Is t(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11010.2592 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 4:29 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*a**3*z**3 + 344*a**3 + 385224*a**2*z**3 - 5*a**2*z + 2115*z**2 wrt z.\nAnswer: -120*a**3 + 2311344*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 7*u - 169. Let j be g(10). Let t = 2\/9221 - 378105\/202862. Let x = t + 4\/11. Which is the closest to -0.1? (a) x (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 94 - 188 + 81 = 5*y, -y + 4*l + 31 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4576 - 8729 = -181*z + 26*z + 9177 for z.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/4 + 17*p**2\/2 + 65*p - 81. Differentiate m(x) with respect to x.\nAnswer: 3*x**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312512064 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7148 is divided by 159?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 6 + (63 - 22).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4439404 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 14 = -5*g - 41, 5*y + 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 126*t**2 - 206*t - 10037. Suppose -2*h + 0*h + 40 = 0. What is the lowest common multiple of h and z(-125)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2, 4 in descending order.\nAnswer: 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + k**2 + 2. Let m(v) = -v - 8. Let z be m(-3). Let l(y) = 2*y**3 + y**2 + 2. Give z*b(a) + 4*l(a).\nAnswer: -2*a**3 - a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377) + 1 + 5 - sqrt(1377)))*-2 + 3 + (sqrt(1377) - (sqrt(1377)*-2)**2*2).\nAnswer: -11001 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -82.\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*-3*(-2)\/(-12). Solve -p*f = 5*h + 31, 3*h - 6*f - 11 = -f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29783097 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c - 4. Let y(m) = 69*m - 27. Let u be ((-4)\/(-3))\/(8\/(-12) - -1). Let j(n) = u*y(n) - 27*d(n). Let f = -5 - -4. Calculate j(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4 - 36056*n**3 + 18851024*n**2 - 74647336*n - 93534420 = 0. Calculate n.\nAnswer: -1, 5, 553, 8457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -991*k + 4. Let h(d) = -242*d + 1. What is -18*h(y) + 4*x(y)?\nAnswer: 392*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*a - 0 + 40, -58 = 2*a + 5*m. What is the remainder when 58 is divided by 12\/(3 + (-27)\/a*-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b - 106. Let y(f) be the first derivative of -13*f**2 - 209*f - 16. Let r(n) = -13*o(n) + 6*y(n). What is the first derivative of r(i) wrt i?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 23 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + (-1 + 2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54 and -35.5151458?\nAnswer: 89.5151458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = 45. Suppose -1 - m = 2*j. Let w be j\/(-4)*(-4)\/(-12). Is 0.2 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59070 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*j + 280 = 24*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 58*n**3 + 6*n**2 + 6*n + 1. Let k(h) = 115*h**3 + 11*h**2 + 11*h + 2. Give -6*k(l) + 11*t(l).\nAnswer: -52*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 562 + -558. Put h, -9, 5, 7 in increasing order.\nAnswer: -9, h, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and 1068338?\nAnswer: -256401.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 5 - (0 + -3). Let z(p) = -2*p**2 + 15*p - 15. Let v be z(m). What is the second derivative of 12*f**v - 6*f - 4*f - 3*f + 3*f wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*q - q, 0 = q + c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (23 + -2 - 13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20*2\/(-12))\/(2\/(-6)). Suppose j = 9*q - 4*q. Suppose 0 = -d - 5*f + 8, 8 = q*d + d - f. Solve -2*o + 3*o = 4*l + 7, -d*l = -4*o - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r + 17*r - 24*r - 54 + 7*r**2 + 58. Let v(d) = 6*d**2 + 3*d + 3. Let k(m) = m**3 - 7*m**2 + 10*m + 6. Let z be k(5). Determine z*v(p) - 5*x(p).\nAnswer: p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {g: 1, t: 3, e: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 14. Let i be 272\/20*b\/2. Round i to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/35 - o**4\/21 + 8*o**3\/21 + 8*o**2\/7 - 95*o + 1. Solve x(w) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eighteen fifths of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 314466104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6)*3\/2. Suppose -s*h + 20 = 3*u + 8, 4*u - 16 = 4*h. Suppose 2*b + 106 = u*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5810665 divided by -1.\nAnswer: 5810665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 8) to base 7.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 11*b - 46 = 39 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3020 - 6039\/2. Suppose -1\/6*i - 1\/2*i**2 + 0 - f*i**3 - 1\/6*i**4 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 + p + 1. Let w be u(-1). Let l(f) = 2*f**3 - 7*f**2 - 4*f + 9. Calculate the remainder when l(w) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*o**2*w**3 - 3*o**2*w**2 + 4*o**2 + 4*o*w**2 + 4*o*w - 15*w**3 wrt o?\nAnswer: -178*w**3 - 6*w**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/(-3) + (-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*v - 95212 + 94840 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*f + 1065 = -805 - 322 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55983 is divided by 3222?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 65 = -25. Suppose -4*g = m + 40. Let n = 33 + g. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24830 and 54435?\nAnswer: 1415310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yny when three letters picked without replacement from ppyswpnpwsnwywnwwp?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*c - 210983 = -205383 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + sqrt(3))*2.\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*h**4 + 292*h**3 - 58340*h**2 + 4.\nAnswer: 360*h + 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 212\/(-18) - 16\/72. Let c be (-9)\/t - 17\/(-4). Calculate the greatest common factor of c and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 14. Let z be r(12). Find the third derivative of 24*o**4 - 24*o**4 - 5*o**5 + 13*o**z + 14*o**5 wrt o.\nAnswer: 540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -41*g**3 + 2*g**2 - 1. Let c be a(1). Does 7 divide (-5)\/(c\/26)*(-32)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -704.8295545?\nAnswer: -702.8295545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 299509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7*k - 2*k - 26 = 0, 4*v - 4*k = 8. Calculate the least common multiple of (-30 + 24)*6\/(-9) and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {f: 12, x: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 24. Solve -s + 4 = a*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*r + 875 = -22*r. Suppose 3\/4*g - 3\/2*g**3 - 3\/4*g**4 - 3\/4 + 3\/4*g**r + 3\/2*g**2 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 = -5*c. Suppose 3*b + 2*q - 115 = 6*q, -c*q = 5*b - 153. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 154, 125, -328, -1415, -3346, -6331, -10580, -16303?\n\"Answer: -35*n**3 - 2*n**2 + 222*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.89999826 - -11.9. Round p to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-18) - (897\/1755 - (-4)\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9103*y**2 - 2*y**3 + 3 + 9103*y**2 + 3*y + (-3*y**2 + y**2 + y**2)*(2*y + 2*y - y) - 8*y**3 + y**3 - 2*y**3 to q*y**3 + r*y**2 + x + i*y and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89499894 or -89499890?\nAnswer: -89499894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z + 70. Suppose -r + 9 = -4*d, 0 = -3*r - 3*d + 7*d + z. Suppose -a - r = -32. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 43*l**2 - 379*l - 33. Let a(j) = 4*j**2 + j - 3. Let o(f) = 22*a(f) - 2*n(f). Let y(c) = 12*c**2. Give o(y(z)).\nAnswer: 288*z**4 + 9360*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9 + 9 + 5*f**3 - 2*f - 21 wrt f.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1019362475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350514318 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72138, 72024, 71836, 71574?\nAnswer: 71238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64.281 - 61.57. Let g = 0.289 + k. What is the closest to 2 in -3\/16, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b17 + -2208?\nAnswer: -4123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2072)\/1480)\/((-4)\/(28*-5))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14161 and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.38 to zero decimal places.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 6 = -14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176502 and 177.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 8*a - 6. Let k(m) = -m**2 + 6*m - 2. Let g be k(7). Let b be t(g). Suppose 0 = b*u + 2 - 11. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/16)\/(-1))\/((-265)\/(-318))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -35 (b) -4\/45 (c) -3 (d) 26\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45278.\nAnswer: 2, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 660 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/5? (a) 0.152 (b) 4 (c) -11.8 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1739 and 54773.\nAnswer: -9525.0247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4 - 5*a**3*k - 2*a**3 - a**2*k - 22*a**2 wrt a.\nAnswer: 24*a - 30*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, 0.2, 0.3, 5, -2\/9 in decreasing order.\nAnswer: 5, 0.3, 0.2, -2\/9, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r. Suppose g = -r*g + 11. Calculate the greatest common factor of g and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 3*z - 1. Let x(y) = 6*y + 12. Let o be x(-1). Suppose 0 = o*r - 114 - 42. What is the remainder when b(-4) is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -5, -4, -32 in descending order.\nAnswer: 1, -4, -5, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppnn. Give prob of sequence ppn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose 0 = u + q*c - 8, 0 = 4*u + 2*c - c - 4. Suppose u = -3*w + 15 + 6. Calculate the lowest common multiple of w and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359100 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*m + 20. Suppose m*y - 71 = 73. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t = -k - 17, 3*k - 5 = -2*t. Suppose -t*m + 3*m + 96 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2745*j = 2725*j + 100 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/43 (b) 0.01 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 625991563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - y + 120. Let o be k(0). Suppose 0 = -19*l + 22*l - o. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40185 and 223065?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 3 = -6 + 1. Let q(t) = 6*t + 9. Let p(r) = 1. Determine g*q(h) - 6*p(h).\nAnswer: 6*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 0 + 2 + 1 - d**3 - 2 + 2 + 2 + d**3 - 2 + (-3*d**2 + 2*d**2 - d**2)*(-6*d + 3*d + d) - 3*d**3 + d**3 + 4*d**3 - 5*d**3 + 0*d**3 + d**3.\nAnswer: 3*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2 - 3. Suppose 5*s - 28 = s + 4*d, -5*d + 14 = 2*s. Let v(x) = 13*x**2 + 7. Determine s*r(l) + 3*v(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183198091 and 1759?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 476, 3406.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/(sqrt(21)\/(sqrt(7)*1) + sqrt(3)) + sqrt(104)\/sqrt(288) + -2)*-2)**2 + -3.\nAnswer: -32*sqrt(13)\/3 + 325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 + 80. What is the remainder when 77 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 193.9 and 0.2?\nAnswer: 38.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 85559 to the nearest 100.\nAnswer: 85600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**3*h*j**2 + 814*g**3*h*l - 2*g**3*j*l - 14*g**3*l - h*j**2*l + 39430*h*j**2 + 42*h*j*l wrt j?\nAnswer: -14*g**3*h - 2*h*l + 78860*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-2)\/(-9)*2\/(-8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-4) - -1*35. Calculate the highest common factor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*q - 5*r + 29, 24 = -2*q + 4*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-235)\/(-45) - (-1 + 6). Let j(i) be the first derivative of -1 - 2\/45*i**5 - 8\/27*i**3 + k*i**4 + 0*i**2 + 0*i. Suppose j(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1287237 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -685387*m**2 - m. Let d(r) = r. What is n(d(k))?\nAnswer: -685387*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 + s - 2. Give g(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 52 - 13*z - 12 - 13 + 39*z - 13.\nAnswer: 26*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 2 - g**3 + 2*g**4 + g + 3*g**4 - 3*g**4 to the form f*g + y*g**4 + v*g**3 + s*g**2 + r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014005 (base 6) in base 12?\nAnswer: 24305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64388 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ba (base 14) to base 4\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 2*f**2 + f - 2. Let y be x(2). Suppose -2*c + 5*w = -0*c - 30, y = 3*w. Let r(z) = 3*z**2 + 9*z - c*z + 6*z. Let j(d) = d. Give r(j(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/(-14))\/((-119)\/234906*-188)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 146533.\nAnswer: -4\/146533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(6 + 0 - 3) + 1 + 3 + 1)*(c + 0 + 0).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in 5, -4, 0.2, 2\/1137, 2\/105, 1\/3?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130345 and 74015?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(24)\/sqrt(32))**2 - (-2 + sqrt(108)).\nAnswer: -6*sqrt(3) + 35\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4685391254 to the nearest integer?\nAnswer: 68450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.1. Sort -0.4, 0.2, g in increasing order.\nAnswer: -0.4, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: What is the third smallest value in 1, -0.2, -13, 2\/5, 1\/8, -1\/529?\nAnswer: -1\/529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 12, -110312*k + 19 = -5*m - 110310*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2529, -378, 1773, 3924?\n\"Answer: 2151*u - 4680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 56. Let k be ((-24)\/(-216))\/((-2)\/4). Sort 0.8, k, y in decreasing order.\nAnswer: 0.8, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12\/18)\/((-1830)\/(-25254))*(-2 - 0)\nAnswer: -92\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332910120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10852*o**2 - 6*o + 458 wrt o?\nAnswer: 21704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84179765 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1189*b**3 - 6128 wrt b.\nAnswer: 3567*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 354*s - 1765. Let f be o(5). Solve 68 = f*c + u + 48, 5*u = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 - 0)) + (8 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -402223 + 220?\nAnswer: -402003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = l - 0*l - 12, 0 = -3*l + 4*z - 12. Solve l = -v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66a33 (base 14) in base 4?\nAnswer: 330302011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000075781 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i**5\/3 + 281*i**4\/3 + 3232*i**3\/3 + 2168*i**2 - 8784*i - 1296 = 0. Calculate i.\nAnswer: -18, -6, -1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.33 and -345.\nAnswer: -345.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1449682 and 5073887.\nAnswer: 10147774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 12. Let l(f) = -f**2 + 7*f - 6. Give l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 21. Suppose -l*i + 3*i = 0. Let h(x) = 2*x**2 + 2 - 2 + i. Let j(k) = -2*k. Give h(j(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/210 and 48\/926695.\nAnswer: 5560170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 10*w**2 - 4*w + 42. Calculate y(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 81. Determine c(16).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147\/25 + 179\/175. Suppose 4*o + 6*v - 10*v - 28 = 0, 3*o = v + 11. Suppose 0 = j + o*j - a + 16, 0 = -3*j - 4*a - 11. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*q = 28, -v + 2 = 2*q + q. Suppose 2*n + n = 9, 3*n = 5*m - 106. Suppose 4*f = 31 - m. Solve f*o - v = 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 28. Let t be 2*(-36)\/39 + 2. Let p = -131 - -128. What is the nearest to -2\/3 in p, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.9 - -0.1. Let x = w + -13. Which is bigger: 1\/2 or x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5797*l + 5791*l - 51*c = 11585*l + 657, -l + 37 = -3*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -2*m. Let o be 344\/(-20) + m\/(-10). Let y = o - -29. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k**2 - 6*k + 6*k + (-2*k + 0*k + 4*k)*(-6*k + 2*k + 3*k) to the form c*k**2 + q*k + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18007, -18008, -18009, -18010, -18011, -18012?\n\"Answer: -u - 18006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 46. Suppose m - 97 = -z + x, 0 = -4*z - 2*m + 556. Round z to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -38\/5, 5, 6\/25, -0.5, 866?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-4*(0 - 7 - -4). Suppose 5*d - 2*d = 18. Calculate the greatest common divisor of d and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h + 15. Let c = -1\/28 - 3\/14. Put c, h, 1\/3 in ascending order.\nAnswer: h, c, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 8*x - 150. Let v(c) = -2*c**2 + 10*c + 144. Determine 4*j(s) + 3*v(s).\nAnswer: -2*s**2 - 2*s - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/67?\nAnswer: 9\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 6*g**2 - 6*g - 1. Let r be o(-5). Let z(p) = -5*p**2 + 2*p + 2*p + r*p**2 + 6. Give z(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -24. Suppose y + y = -m*i + 41, -5*i = -5. Let r = 7 - -4. What is the remainder when y is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*j**2 - 19923*j + 5694.\nAnswer: -3*(j + 949)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6122 - 9835?\nAnswer: -15957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1860, -1853, -1844, -1833, -1820, -1805?\nAnswer: -1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -21314?\nAnswer: 21313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20686801, -20686806, -20686813, -20686822, -20686833, -20686846?\n\"Answer: -b**2 - 2*b - 20686798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -265, 5, -2\/5, 0.3, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1298 and 22302.\nAnswer: 245322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-392) - (54\/(-14) + -1). Suppose -3*d = -3 - 6, 4*d + 508 = k*p. What is the remainder when p is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 14 + 4*t - 4*t. What are the prime factors of a(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1167*t - 3552. Determine x(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 5152099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 c when four letters picked without replacement from bchccbcv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, 1305, 5151, 12701, 25203, 43905?\nAnswer: 70055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {y: 1, x: 1, z: 1, p: 2, n: 2, a: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -940 + 2152b0?\nAnswer: 214570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**2 + 723*u + 500. Determine a(104).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*x - 5*u - 61 = -152*x, 2*u + 28 = -2*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2\/587 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408419 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*k**3 + 0*k + 1\/9*k**5 + 1\/9*k**4 - 1\/9*k**2 + 0.\nAnswer: k**2*(k - 1)*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*c = -39*c - 7722 - 4270 - 4756 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -147674313 divided by 5469419\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (573\/(-324))\/((-189)\/24) + 10\/35. Is b < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 35037?\nAnswer: 35\/35037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 5. Let t = j - -35. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 0 - (3 + sqrt(34)\/sqrt(2)).\nAnswer: -3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - (sqrt(117) + sqrt(117)*2 + sqrt(117)))*5 - sqrt(117)) + 5)**2.\nAnswer: -480*sqrt(13) + 29977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 54*x + 2366. What is o(-44)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 72 (c) 0 (d) -1 (e) -0.1 (f) 153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -57 - 7*p**2 + 32 + 25 - 12*p**2. Let f(m) = 154*m - 317*m + 177*m. Give o(f(s)).\nAnswer: -3724*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -324115997 or -324115999?\nAnswer: -324115997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 73*q**6\/15 - 25*q**4\/4 + 105*q. What is the third derivative of d(c) wrt c?\nAnswer: 3504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.3 - 0.7. Let v = m + 84.071. What is the third smallest value in 1, v, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -3*r**6\/220 + 32*r**5\/55 + 131*r**4\/132 + 2*r**3\/3 - 942*r**2. Factor o(n).\nAnswer: -2*(n - 22)*(3*n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91315b (base 12) to base 11.\nAnswer: 1308218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6287, -12558, -18803, -25010, -31167, -37262, -43283, -49218?\nAnswer: -55055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0532 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*t + 406 = -235*t. Let i = -7 + 11. Suppose i*h - 30 = 2*d, 5*h - 40 = 3*d - d. Calculate the highest common factor of h and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 213296555 and 172?\nAnswer: 853186220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*((-210)\/(-49))\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + t - 1. Let u(c) = c - 6. Let d be u(7). What is o(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(455\/10) + 4\/(-112)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i + 25*a - 26*a = -44, -5*a + 220 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1186534 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3756*s**2 + 4*s + 9. Let y(m) = 1250*m**2 + m + 3. Let l(u) = 3*k(u) - 8*y(u). Let b be l(-2). Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + u - 15 = -u, 4*c + 3*u - 12 = 0. What is the first derivative of 36766*v**2 + 15*v**c - 2*v - 36766*v**2 + 119 wrt v?\nAnswer: 45*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*q + 1 = 0, 136 - 127 = i - q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -851 - -1511. Let w = b - 13203\/20. Calculate the common denominator of w and 33\/824.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 84\/11755?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 2819 + 2*d - 37*d. Is w(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 9. Let n(z) = z**2 - 4. Let v = -35 - -71. Let l be ((-120)\/v)\/((-2)\/3). Determine l*n(h) + 2*c(h).\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - 110\/(-25) - 13\/(-5). Suppose t*l = -1 + 13. Solve s - 3*k + 4 = -k, -k = -s - l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22040551661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 0.7027, -463?\nAnswer: 0.7027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -2\/7, -0.1, -2297 in descending order.\nAnswer: -0.1, -2\/7, -6\/11, -2297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - -21. Let y be (-2)\/5 + (-16)\/v. Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 8109*c = -8107*c, -5*c - 26 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6281*k**4*n**3 - 29*k*n**3 - 67*n**3 + 3*n wrt k?\nAnswer: -75372*k**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 42*p - 341. Let f be a(31). Solve f = -n - 2, 4*n + 14 = 3*w - 0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-202)\/22 - 8*306\/(-272)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*i + 3*n, -5*i = 2*n + 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90.7 + 91.1755. Let a = m + -0.1549. Round a to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.800045 - 2.8. Round p to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -242, -471, -700?\n\"Answer: -229*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 280 = 4*w, 5*i - 513 - 169 = -4*w. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -148 + -89?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*j = -7 + 1, -4*o + 32 = -5*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 137 and 138 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*g = 300, -3*a = -0*g + 2*g - 300. Suppose 3*o - 36 = -u, 0 = 4*u - 2*o + 26 - a. What is the greatest common factor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*m**2 - 127*m**2 - 124*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g = -a - 14, -49 = 3*g - 4*a. Let c be 40\/g - 9\/(-3). Let q be (-3)\/(-12) - (-7)\/20. Sort q, -0.1, -1\/2, c in descending order.\nAnswer: q, c, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4 = -4*s, -2*s + 6143 = r + 6141 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/77 + 3190\/7. Suppose 242 = m - 3*a + a, -j = -2*m - 3*a. Let d be 135\/m + (-2)\/4. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*i**3 - 637 + 637 + (0*i**2 - i**2 + 0*i**2)*(-2*i + i + 0*i) + 3*i - 3*i + 2*i**3.\nAnswer: 27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*l = -77*l + 8368. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -2 (c) -2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 + 2*g**2 - 4. Let w be x(3). Suppose -4*t = -9*t + w. Suppose 0*y + 3*y - t = 2*j, -j = 3*y - 4. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i + 159. Suppose -4*b - 56 = 2*o, -10*b - 3*o = -7*b + 48. What are the prime factors of l(b)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2979069*u**5 - u**3 - 1289608*u**2 - 6?\nAnswer: 178744140*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o**2 - 4*o + 1. Let b be x(-3). Let p = 1 - b. Calculate the smallest common multiple of (p\/(-5))\/(1\/(-5)) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/5 - 33336*v**2\/5 - 277855557*v\/5 - 555577778\/5 = 0. What is v?\nAnswer: -16667, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 5 (c) -0.113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 2*x, -2*x + 3*a + 169 - 177 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 77*m + 126. Determine i(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**21\/(a*a*a\/((a*(a\/a**(-9)*a)\/a*a*a)\/a)))\/(a**(2\/123)\/(a\/(a**(-28\/5)\/a))) assuming a is positive.\nAnswer: a**(23114\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12312 - -2?\nAnswer: 12314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 greater than 1136\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7807 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2492329 millennia in decades?\nAnswer: 24.92329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4501 - -4585. Sort 1, -4, 4, b, 2 in decreasing order.\nAnswer: b, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79434.7 rounded to the nearest 100?\nAnswer: 79400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/((-126)\/192) + 2\/6. Solve 0 = -5*w + u - 36 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.0848, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {t: 2, n: 1, f: 4, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -80, -1.7, -0.3, 110?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 2*k + 16, 2*r + 1 = -2*k + 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**3 - 2*v**2 + 5. Let n be -3 - -7 - (5 - 3). Let j(a) = -31*a + 31*a - 6 + n*a**2 - 8*a**3. Determine 5*j(l) + 6*s(l).\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 121*q + 3554. Give y(50).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 252491\/68530 + -8\/3115. Let m(h) = h**3 + 4*h**2 - 2. Let y be m(-4). Find the common denominator of x and 94\/(-24)*1 + y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000688474 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 28. Suppose j + 75 = 5*q, -q + 2*j + 17 - d = 0. What is the highest common factor of q and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/3614096 and 71\/8131716?\nAnswer: 32526864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8715 or -14?\nAnswer: -8715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1599 - -5584. Suppose -b - 1247 = -3*x. Suppose -4*t = -4*u + 3484, -t - x = -2*u + 2*t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdqdddjdqnjvzjvjjnjq. What is prob of sequence vznn?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11462*h**2*x**3 + 2*h**2 - 3*h*x**3 - h*x + 1539*x**2 wrt h?\nAnswer: 22924*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16810487 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8178109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66618941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 9) to base 6\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -0.6, 35, -2\/13 in ascending order.\nAnswer: -4, -0.6, -2\/13, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9053925 millennia to months.\nAnswer: 10864.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1541466 - 4\nAnswer: 1541462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/9 and -256 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2 + (1 + 1 - 3)*(-1 - 1 + 3) + 6 - 2 - 3 - 3 + 5 - 5)*(-1 + 4 - 1)*(-5 + 4 + 4)*(44*w + 1476 - 1476) in the form f + z*w and give z.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + n. Suppose 0 = 3*f - 3*b - 40 - 14, -2*f + 3*b + 34 = n. Calculate the least common multiple of f and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6) + 6\/4. Solve z = d + d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/70 - 20*n**4\/21 - 533*n**3\/21 - 338*n**2 + 1273*n. What is o in q(o) = 0?\nAnswer: -14, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/(6\/(-63)*-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -9 - (-7 - (11 + -23))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1034*j**3 + 3*j**2 - 47.\nAnswer: 6204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (3 + -1 - -3)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 2*s - 3*s + s - 25.\nAnswer: -5*s - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x. Suppose 6*a + 15 = 3*a. Let k(f) be the second derivative of f**3\/2 - 7*f. Let s(t) = a*k(t) - 9*b(t). Let n(l) = -l**2. What is n(s(m))?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 7*g**2 + 5*g + 2. Let u be j(6). Let o be u + 16\/(4\/2). Let i = 2 + -1.7. What is the second smallest value in i, -2\/15, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10006, -19993, -29968, -39931, -49882, -59821?\nAnswer: -69748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -4\/3, 5\/3, -4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29218607 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 163469827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 135*a. Let q(y) = 6*y - 506. Give j(q(c)).\nAnswer: 810*c - 68310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2456 - -0.1146. What is the smallest value in -0.2, -0.3, 0, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 2*s + 11*s + (-3 + 3 - 2)*(-1 + 1 + 2*s) in the form y*s + p and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5050)\/404)\/((-55)\/(-44))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + (8 - 4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l + 10 = 0. Suppose 14 = l*k + 4. Factor k*x + 6*x**2 + 0*x + 0*x**3 + 4*x**3.\nAnswer: 2*x*(x + 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-2))\/((-4)\/(-160) + 0). Let u = -178 + c. Solve b = -u*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*c = 2 - 27, -j - c + 1 = 0. Is 40\/9 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 645, 5, -2, -1, -15 in descending order.\nAnswer: 645, 5, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let w be i(5). Let u = 7 - 3. Put w, u, -5 in descending order.\nAnswer: w, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 107*h + 11. What is the tens digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 988, 1960, 2922, 3874, 4816, 5748?\nAnswer: 6670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 2238.\nAnswer: 127566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/36540*30*1*20.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let i be (-4)\/r - -1 - -6. Suppose -4*n - 4*x - 19 = i, 0 = 3*n - x + 10. Which is greater: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 392?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*j = 272, 4*j = -4*b - 0*b + 264. Let h = -44 - -100. Let x = b - h. What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/25 (b) 0.1 (c) 3 (d) 0.276 (e) 27 (f) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x = 0. Let a be 44\/45 - (-2)\/9. Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6768291006 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000281666 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 795113 take away -8.423?\nAnswer: 795121.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 26 = -14. Suppose 36 = 3*u + d*x, -2*x = u - x - 10. Suppose 0*r = -r - c - 5, -r - 25 = 5*c. Solve 5*n - u*n + 10 = r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let a(k) = -10466*k**2 - k - 4. Determine o(a(w)).\nAnswer: 10466*w**2 + w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*p + 2907 = 0, 6 + 6 = 4*p. Let n be k\/(-15) - (-2)\/(-3). Let t = 91 + n. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 1496?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 328, 1160, 2786, 5470, 9476?\n\"Answer: 44*z**3 + z**2 - 9*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/4 - 13*m**2\/4 + 24*m + 27 = 0.\nAnswer: -18, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 13*r = -4374. What is the smallest common multiple of r and 216?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 4*v**2 - 6*v + 36. Calculate i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 6*b + 5. Let n(q) = -q**2 - 5*q - 4. Suppose c - 23 = -11. Suppose -c - 4 = -4*t. Give t*h(k) + 5*n(k).\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -432 + 432.1. Let r = 2\/339 + -688\/1695. What is the nearest to -3\/11 in p, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 353, 1576, 3731, 6902, 11173, 16628?\n\"Answer: 14*b**3 + 382*b**2 - 21*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**7\/120 + 29*u**6\/240 - 121*u**5\/240 + 5*u**4\/16 - 84*u**2. Let z(w) = 0. Calculate w.\nAnswer: 0, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/16 - 97\/112. What is the third biggest value in -1\/4, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001539882 rounded to 6 dps?\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**3 + 0*j**3 - 3*j**3.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.417125 rounded to one dp?\nAnswer: 49.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 1.07, -2, -6\/13, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaz when three letters picked without replacement from {e: 1, a: 3, i: 1, m: 1, z: 2, p: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b - 511. Calculate q(-20).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843179 to the power of 1\/2, to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 31*j + 7. What is o(-39)?\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74832 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: What is 63281 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -6\/5, 0.2, 1.38?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*h + 3*c = 84*h - 1, -4*h + 5*c - 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -107002, -214002, -321002, -428002?\n\"Answer: -107000*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256 + 72. List the prime factors of r.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*k - 93*k + 19188 = 96*k. Solve 142*w + 112 = k*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 6*k**2 - 3*k + 4. Let z be c(5). Let t be (1\/3)\/(12\/z). Which is smaller: t or -4\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 1:33 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 2*x**2 + 0*x + 1\/2*x**4 - 5 - 2*x**3. Solve n(o) = 0 for o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86615 plus -6927672?\nAnswer: -7014287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 68 = -m - 3, -o - 3*m = -30. Suppose k = -o + 28. Let b be (4\/10)\/(k\/(-130)). Let i(n) = -n - 2. Give i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + -303?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)\/sqrt(9) - sqrt(5) - (sqrt(10)\/sqrt(2)*6)**2.\nAnswer: -180 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*((sqrt(605) - sqrt(605)*3)*-2)**2 - (((sqrt(605) + -1)*-3)**2 + ((-1 + sqrt(605))*2)**2)).\nAnswer: -46597 + 286*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -647127 (base 11) in base 8?\nAnswer: -3744141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/6 in 3, 22, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (534\/120 + -4)\/((-18)\/(-15)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/329391 and -11\/10.\nAnswer: 3293910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(7\/(-14))\/(30\/(-72)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 27 = 3*y - u, -3*y - 2*u - 22 = 0. Sort 4, y, -1.\nAnswer: y, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 - -101. Let j = z - -49.4. Which is the smallest value? (a) 4 (b) -2\/5 (c) 2\/7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1293654 - 1421346 = -a. Suppose 2*n = 17*n + a. Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 31*w**2 + 95*w - 38. What is the least common multiple of 45 and m(28)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58650981 a multiple of 1041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and -399.1?\nAnswer: -83.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -bd?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 3*s - 1. Let i = -6 + 2. Let u be p(i). Solve 5*n + u*k = 2*k + 22, 3*k - 11 = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22097.86l?\nAnswer: 22097860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. Let k(w) = w**3 - 4*w**2 - 5*w + 8. Let s(v) = -v**3 - 17*v**2 - 14*v + 50. Calculate the remainder when k(x) is divided by s(-16).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 24, 81, 192, 375, 648?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 3}. What is prob of sequence gs?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and 131.\nAnswer: 130.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/17808 and 113\/25228.\nAnswer: 302736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2052 to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136 - -150. Let d = -13.6 + v. Let h = 109\/4 - 751\/28. Put -1, d, h in ascending order.\nAnswer: -1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 3360?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = -4*b - 2*l + l, -4*l - 324 = -2*b. Let x be (-8)\/(-14) - b\/(-28)*48. Suppose i - x = -5*a, -3*a = 2*a - 5*i - 310. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 297 - -4?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(-31))\/(0 - (-2)\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(65)*-2*2)\/(sqrt(125)*-2*4).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 14*d - 5*n + 1935 = 0, 0 = 2*d + n - 773. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*q - 2 = -0, 3*k - 4*q = -2. Suppose t = -k + 4. Calculate the common denominator of -95\/2 and (-280)\/(-25) - t\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5711.94 decades in millennia?\nAnswer: 57.1194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 4*l + l)*((0*l + 2*l - 4*l)*(-2 + 2 - 2) + 0 + 2*l + 0 - 4*l + l - l + (3*l + 2*l - 2*l)*(-2 - 1 + 4)) as g + w*l**2 + k*l and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by 6\nAnswer: 155\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 - 16*x - 20 = 0. What is x?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000138868068 rounded to 7 decimal places?\nAnswer: 0.0001389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**2 + 269*m + 3482. Let n be t(-14). What is the greatest common divisor of n and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37375 and 117682375?\nAnswer: 2875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 106*c - 792.\nAnswer: -2*(c - 44)*(c - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 166*n + 2275. Let x be a(-15). Solve 5*z - 5*d = 15, -9*z + x*z - 5*d - 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -760851\/605 + 18621165517729\/14806848045. Let j = o - -118063242586\/108395917341. Let m = -2\/103 + j. What is the common denominator of m and 69\/2?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 0*o - 2064. Suppose 0 = -7*u + o + 24. What is the lowest common multiple of 52 and u?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 2*k + 4. Let n(g) = -g**3 + 4*g**2 - 6*g + 24. Let i be n(4). Let x be r(i). Solve -9*d = -7*d + x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24928, -99716, -224362, -398866, -623228?\n\"Answer: -24929*c**2 - c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1136 and 35174323.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 191*i**3 + 20*i**2 - 17*i + 10. Let y(m) = 192*m**3 + 14*m**2 - 13*m + 8. Let c(o) = -2*w(o) + 3*y(o). Find the third derivative of c(n) wrt n.\nAnswer: 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnrfwfrrnm. What is prob of sequence nrrf?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029856 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(0 + (0 - 2)). Suppose 3*t - 1 - q = 0. Let u = 7627 + -7623. Solve t*v + u*k - 4 = 4, 4*v - 5*k + 10 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 2*k - 2*k)*(-4 + 4 + 2*k**4 + (5*k - k - 2*k)*(0*k**3 - 4*k**3 + 2*k**3)).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.5 + 0.5. Let f = -8 - -6. Suppose 1 = 5*v + 3*g, 3*v - 5*g = 7*v + 7. What is the closest to f in v, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -179.138258 to 1 dp.\nAnswer: -179.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 3. Let f(k) = -2*k - 3. Calculate -3*f(u) + 4*i(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 0.2, -3, 4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 2*b**2 + b**2 + 2*b. Let v(r) = -7*r + 11. Let o(x) = 2*x - 3. Let g(p) = 22*o(p) + 6*v(p). Calculate f(g(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2615 is divided by 378.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6*a + 9. Let f(m) be the third derivative of m**5\/60 - m**4\/6 - m**3\/6 - 1692*m**2 + 5. Calculate f(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m + 5*m)*(2 - 2*m**2 + 0 + 1) + 4*m**2 + 3*m**2 - 5*m**2 - m**3.\nAnswer: -17*m**3 + 2*m**2 + 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -29*d - 8 + 2 - 5 + 21*d**2. Let o(k) = -7*k**2 + 10*k + 4. Let z(t) = -11*o(t) - 4*p(t). What is the second derivative of z(u) wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6875 = -202*b - 199*b - 1662 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -2.3 (b) -1\/5 (c) -287 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -224*m**4 + 7268*m**3 + m**2 + 7*m + 182410 wrt m.\nAnswer: -5376*m + 43608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 - 2. Let c = -1.3 + 3.7. Let a = c + -2.5. What is the biggest value in 5, a, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607818 (base 11) in base 14?\nAnswer: -51773d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(75)*-2))**2.\nAnswer: 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -1. Suppose 43*x - 222 = 6*x. Let b be (-8)\/x - u*3\/18. Which is greater: -4\/27 or b?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8150*u + 3224*u - 4913*u)*(3*u + u - 2*u).\nAnswer: -19678*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 7*v**2 + 7. Let n = 5 - -6. Suppose n*o - 25 = 6*o. Suppose 0 = o*r + 16 - 1. Let u(d) = -d**3 + 3*d**2 - 3. What is r*y(l) - 7*u(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvuuua. What is prob of picking 1 a and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**(17\/2)*a**0\/(a*a**(-1)*a) assuming a is positive.\nAnswer: a**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:33 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Let i = 41 - 41.3. Sort -5, g, i in descending order.\nAnswer: g, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12304 - 21?\nAnswer: -12325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38608 from -5.\nAnswer: -38613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 395.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/1125691 or 1?\nAnswer: 9\/1125691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*j**4 + 3341*j**2 - 3341*j**2 + 2 + 2*j**4 + 0*j**4 + j**4 + (-2*j**2 + 1 - 1)*(-3 + 3 - j**2) + j**4 - 3*j**4 + 4*j**4.\nAnswer: 33*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 1 (c) 0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 1. Suppose 11*t - 16 = 39. List the prime factors of u(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**27\/(f**(-9\/7)\/f**(-2\/15)) assuming f is positive.\nAnswer: f**(-5549\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*x + 23*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 6 + 4)*(4*w - 4*w + w) to p + b*w and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 2*j - 28, 4*j - 12 = 7*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(-2 + 2 - 3*a)*(-2*a**2 + 3*a**2 + a**2)*(0 + 2 + 0)*(7*a - 8*a - 2*a).\nAnswer: -180*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = 3*v + 29, 0 = -4*v + 5*u - 12. Let b = 8 + v. Let f be 3\/(b + 9\/12). Solve -f*y - 9 + 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 3\/14 (c) -0.06 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-2 - 0\/1). Suppose 4*t - 5*k = -45, k + 30 = -5*t + s*k. Put -2, t, 0 in increasing order.\nAnswer: t, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1318 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(10)\/(sqrt(6)\/sqrt(3)) - sqrt(5))) + 1.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2443350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*u + 5*u**2 + 6*u**3 - 84*u wrt u?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let m be 214\/(-107)*2\/13. Which is bigger: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*d**3*m**2 + 458*d**3*m + 2*d**2*m + 11*d*m + 33*m**2 wrt m.\nAnswer: 64*d**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.024? (a) -1.6 (b) -2 (c) -0.1 (d) -2\/11 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*b - 10*b - 355*b - 433*b)*((-b + 0 + 0)*(1 - 2 + 0) - 16*b + 245 - 245) as c*b + f*b**2 + y and give f.\nAnswer: 12060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 28 = 2*n, -4*i - n + 19 = 31 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 2*l - 1. Let x be m(-1). Let g be 6 + 2\/(x + -1). Differentiate -i**2 + 7*i - g*i - 1 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/72 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 8:37 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23*1 - (-1)\/(-1). Let q(x) = -4*x**2 - 3. Let z(w) = w**2 - 11 + 327*w - 327*w - 16*w**2. What is h*q(b) - 6*z(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyuhuzyzz. Give prob of sequence zz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1032, -2034, -3036?\n\"Answer: -1002*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-135*2)\/3. Let a = s - -23. Which is greater: a or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a88a0 (base 14) to base 4.\nAnswer: 222211222030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5*(-3 + 17\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/8)\/(-9 + 780\/80)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*b - 16 - 13*b + 18)*(6 - 3 - 2 + (4 + 3 - 6)*(3 + 0 - 2) - 3 + 1 + 7) as g + n*b and give n.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(81\/(-9))*(-2)\/(-38)*-6.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m + 9*m**2 - 3 + m**2 - 7*m**2. Let x be j(1). Let i(y) = y**2 - 3*y - y + 3*y**2 - x - 3*y**2. Give i(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 344 and 10492.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 36*p**2 + 38*p + 914. What is q(34)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 40 = 266. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t - t)*(391*t - 144*t - 134*t) - 3*t**2 - 2*t**2 + 0*t**2 + (-2 + 2 + t)*(3*t - t - 3*t).\nAnswer: -119*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16969370741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*i**2 - 1547*i**2 + 2018*i**2.\nAnswer: -730*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l - 1140 + 5858. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 10*v**2 - 18 - 17*v**2 in the form q*v**2 + m + r*v and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456296711?\nAnswer: 13, 17, 131, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/28)\/(154\/11858).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 12. Let d be f(-16). Suppose -5*t - 1 = -d*x, 4*x = -4*t - t - 9. Let z(p) = 10*p - p - 2*p. Determine z(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (840\/120)\/(1*7\/19).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*115)\/(5\/(-5)). Let f = -4 + i. Suppose -3*b + 378 = -f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a084 (base 11) to base 7.\nAnswer: -54034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - m - 6, 3*f + 4*m - 28 = -2*f. Let q(d) = d**2 - 3*d + 3. What is the units digit of q(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.056905 micrograms?\nAnswer: 56.905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 156 * -16.\nAnswer: -2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/2)\/((-3)\/8). Suppose 0 = -10*z + 13*z - 15. Let g be (-3)\/z*(5 + -11 + 1). Sort p, 1, g.\nAnswer: p, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 57, 158, 321, 558?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110011020 + -120?\nAnswer: -110011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 5*x**6\/6 + 29*x**5 + 785*x**4\/2 + 7730*x**3\/3 + 16425*x**2\/2 + 10125*x - 2016. Find h, given that v(h) = 0.\nAnswer: -9, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 v when three letters picked without replacement from {m: 5, v: 2, l: 2, x: 11}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 21403.1 millimeters?\nAnswer: 0.0214031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99560689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.25311l to millilitres.\nAnswer: 69253.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -4 (c) -8\/7 (d) 3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5 = -0*c + 5*c, -3 = -3*c. Suppose 16 = f - 3*f. Let k be (-1)\/((-6)\/f)*30\/(-20). Solve k*l - 3*l = t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -137230 and -137229 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7070.\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -13956082 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-2)\/4)\/((-5)\/20). Let j = 0.1 - 0. Let q = j + -2.1. Put p, q, -5 in decreasing order.\nAnswer: p, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2304311 is divided by 5273.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 159*f - 25 - 187*f.\nAnswer: -28*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2185625, 2185506, 2185411, 2185352, 2185341?\n\"Answer: 2*y**3 - 133*y + 2185756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 61.4. Which is the smallest value? (a) 0.61 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**7\/210 + a**5\/5 - 3*a**2 + 7*a. Let d(p) be the first derivative of v(p). Find the third derivative of d(h) wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(75\/1200)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*o + 43960, -3*o - 18337 = -5*q + 36621. Let k = 16267 - q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237402006 * 5\nAnswer: -1187010030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*w - 5*g, 4*g + 2 = -w + 12. Let k = -2.4 - -1.9. Let q = 3 - 4. Which is the second biggest value? (a) k (b) w (c) 3\/5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -121? (a) 5\/4 (b) -5 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1898\/260 - 2\/3*9) + -1\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, 1\/5, 3, 1\/3, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -42*s + 792. Determine d(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssbvtpuvvsbvs. Give prob of sequence tbsp.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4 + 11. Let s = d + -4. Let l be (-12)\/56 - (-1)\/2. What is the nearest to s in l, 0, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(-1161) + 407\/(-27)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -j + 11, -4*y + 19 = -0*j - 3*j. Suppose -d = -5*f + 8, -y*d = f + 2 - 12. Let o = 3 + -16\/5. Which is the nearest to 2? (a) -0.1 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(5\/3)*k*k)**(1\/16) assuming k is positive.\nAnswer: k**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/17952*-110)\/(3\/(-4)*1)*-44?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 9:03 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(((a*(a\/(a\/((a*a**(-2))\/a)))\/a)\/a)\/a)*a*a)\/a)\/a**(1\/7))**(-2\/9) assuming a is positive.\nAnswer: a**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-66 - 76 + z + 123)*(5*z + 0 + 0) in the form b*z + v*z**2 + p and give b.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3699697.58 rounded to the nearest one thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1581 and 293539?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -792, -601, -406, -207, -4, 203?\n\"Answer: 2*r**2 + 185*r - 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -79523614 and -79523614 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xanaanxhaaayxaxh. Give prob of sequence hhx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 11 - 2 = 0. Let t be 4\/f + (-140)\/(-30). Solve -3*k - 4*v + t*v = -5, 8 = -4*k - v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1630 - 259 + z**2 + 33*z**3 - 35*z**3 + 4265*z**6 wrt z?\nAnswer: 511800*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 89\/4 and 23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 8*h - 8. Calculate the least common multiple of p(3) and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79856 divided by 39928\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -135*y - 22555. Give k(-167).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2340 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 24\/15 - 7\/20.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 570.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 2786.\nAnswer: 195.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015533551 rounded to six dps?\nAnswer: 0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krd when three letters picked without replacement from dkdkkrdd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p = -382 + 316 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 - 87. Let f = -112 - y. Suppose 2*q = -2*z + 108, -4*z = 2*q - z - f. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooro when four letters picked without replacement from {r: 4, o: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 1001 = r. What is the remainder when r is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 9:44 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b = -216 + 124 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + (68 - 100) + 17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1\/2 (b) -4\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69388871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 + (-45)\/18. List the prime factors of (42816\/56)\/4 - p\/(-14).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2211168 and 151572.\nAnswer: 37589856","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 42699161 + -29684161. What is z rounded to the nearest one hundred thousand?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/14*6 + -6. Let i = -4 + 4.4. Let r = 5.6 + i. Is o <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/593 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73 + 30 + 46)*(-11)\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2764854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61, -118, -245, -478, -853, -1406?\n\"Answer: -6*g**3 + g**2 - 18*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -101001103?\nAnswer: -101001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 + -0.78. Let v = -290880 - -290879.7. Sort y, v, -0.4 in increasing order.\nAnswer: y, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417 - 13775 + 2633 = 444*s + 15583 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)\/sqrt(9))\/sqrt(9) + sqrt(252) + -1 + (sqrt(896) - sqrt(896)*1 - sqrt(896))\/(sqrt(96)\/sqrt(3)))**2*-6.\nAnswer: -1056 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 9*c + 239. Let z be l(9). Let k(h) = 2*h**2 - 4*h + 2. Let d be k(2). Suppose 0 = -3*a - d - 7. Is z less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24107.\nAnswer: 24107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/13 - 9\/26. Let p = -0.0743 + 187.7743. Let l = 188 - p. What is the closest to t in 1\/2, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*u = 931, 311 = -2*f + 3*f - 2*u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -16.59.\nAnswer: -15.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s = 53*s - 37*s + 513. Solve -99 + 4 = s*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/9 - 10 - (-20 - -22).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 11*z + 11*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4417 (base 9) to base 8.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 183*i*n*v*y - 381*i*n*v - 3*i*n*y**2 - 2*i*n + 10*i*v*y**2 - 2*i*v + n + 3*v wrt y.\nAnswer: 183*i*n*v - 6*i*n*y + 20*i*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w + 765 = -211*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 87*v**2 + 105*v - 1665. What is the hundreds digit of p(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016870224988 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 383300132 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 5, 211, -3, 7 in decreasing order.\nAnswer: 211, 7, 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(550)*-3)\/sqrt(10) + sqrt(55))\/((sqrt(99)*3)\/sqrt(9) + sqrt(11)) + -2*(sqrt(30)\/(sqrt(6)*1) + (sqrt(5) - (sqrt(5) - (-2 + sqrt(5)))) + -5))**2.\nAnswer: -126*sqrt(5) + 1189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/20 and (12\/50)\/(4\/185)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 41. Calculate the common denominator of 61\/2 and -1*50 + y\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqt when three letters picked without replacement from jvpjvqvqtv.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*c + 84*c - 5*p - 7 = 0, -c = -3*p - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = 4*n, 4*j = -5*n + 1 + 7. Suppose 2*d = -0*d - t + j, 2*d - 6 = -3*t. Solve -10 = -d*k - 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, -0.4, -2.5, -995, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5918 - 6186.1. Let a = 268 + z. Let m(x) = x**3 - 2*x - 1. Let c be m(2). What is the third smallest value in 0.2, c, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1146, -3123, -6420, -11037, -16974?\nAnswer: -24231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -1\/44*a**4 + 10\/33*a**3 - 1\/30*a**5 + 0 + 0*a + 1\/1155*a**7 - 80*a**2 + 1\/220*a**6. Determine l, given that s(l) = 0.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -662 + 252.5. Let j = -487 - d. What is j rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*j - m, 2*m + 44 = -4*j + 6*j. Suppose -4*b - 29 = -121. Suppose -b*c = 15 - 107. Calculate the lowest common multiple of c and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -3 (c) -3.854 (d) 3 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 24*l - 36.\nAnswer: -4*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/10, 1, 3, 0.1, -3, -216?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6300 by 63.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 68*s + 5 = -73*s, -s = 3*o + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*r - 40. Calculate the least common multiple of 5 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 140769, 141267, 141767, 142269, 142773, 143279, 143787?\n\"Answer: d**2 + 495*d + 140273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 46) + (-8 + 3 - 6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qontqqtktnqwwnqwq. Give prob of sequence ot.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k + 10. Let b be x(-15). Suppose 3*y = b + 5. Suppose 1784*i**2 + 46*i**4 - i**4 - 540*i**3 - 169*i**2 + y*i - 180 = 0. Calculate i.\nAnswer: -1\/3, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(495) - (sqrt(495)*-1 + sqrt(495)))\/sqrt(9))\/sqrt(5) - 4*-6*(-1*sqrt(11) + -1))**2.\nAnswer: 1196*sqrt(11) + 6495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710681 smaller than 2710686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2. Let h(j) = -336*j**2 - 52931. Determine h(g(y)).\nAnswer: -1344*y**4 - 52931","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -11374*u**7\/7 + 160*u**3 - 15633. Find the third derivative of h(z) wrt z.\nAnswer: -1364880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 5*u**2 + 7*u - 6. Let j be s(4). Suppose 0 = m + 3 - j. Suppose p + 1 = m. Solve 3 = 4*f - 5*h - p, 2*f - h + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(48)*-4 - sqrt(6)\/(-1*sqrt(2))) + -1.\nAnswer: -14*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -12 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0 - 1\/2*j**2 + 3*j + 0*j**4 + 0*j**3 - 3\/4*j**5. What is the units digit of v(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + -39.94. Let o = r + 39.999888. Round o to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k - 30 = 3*d, 0 = 2*k + d - 1. Suppose 5*t - k*y = 385, -y = 5*t - 353 - 32. What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3111180 and 10980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -46330 bigger than -46328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 12:21 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51\/100 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from wzpwwwzzwe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = -5*b - 31, s + 5*b = -28. Sort -2, -1, 0, s in decreasing order.\nAnswer: 0, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87, -62, -37, -12?\n\"Answer: 25*y - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 6*u**2 + 7*u - 9. Determine t(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -50 + 164. What is the remainder when 33 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 - -3 - (23 - (-8 + 9))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6595 - 17814 - 1377 - 6527 - 8326)*(-4*x - 2*x**4 + 4*x) to the form i*x + b + q*x**4 + j*x**3 + d*x**2 and give q.\nAnswer: 54898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30881601 is divided by 3976.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15762 less than 737.8?\nAnswer: 16499.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + (-61)\/9. Let v(a) = -6*a**2 - 3*a + 2. Let k be v(1). Is i bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:25 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-18)\/3))\/(466\/5359)\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/2 in -0.3, -22, -0.5, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 9 = 7*c. Let g(s) = 4*s + 10. Let m be g(c). Solve -5*r - m = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0873*0.4.\nAnswer: -0.03492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 923463789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 + -3) - (-2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from uhpuuuhkukuuuuuu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnntttt. What is prob of picking 3 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 151587 and 2.\nAnswer: 303174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.583 + -13.317. Let y = -38 + 14. Let n = q - y. What is the nearest to n in 0, 6, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3\/6 + 2*s. Let y(u) = 6*u + 3. Let x(m) = -5*h(m) + y(m). Let w = 285 + -291. What is x(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402 and 28542?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/2)\/((4977\/(-504))\/79)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(5\/25*3)\/((-13)\/65)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*-1 - (6\/(-6))\/(20\/100)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:01 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14*k - 26 = -18*k, 10 = 2*k. What is the smallest common multiple of 167 and s?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {y: 1, q: 2, j: 3, k: 2, o: 2, h: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45210146.\nAnswer: 2, 47, 480959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.1, 0.5, -0.04, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 22*z**2 - 97*z - 361. Calculate t(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -113630 divided by 5?\nAnswer: -22726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3*j - 68*j**2 - 5*j + 71*j**2)*(0*j + j + 3*j).\nAnswer: 12*j**3 - 8*j**2 + 32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -719 - -719. Put w, -57, -5 in decreasing order.\nAnswer: w, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 - 812*z - 64 + 113 to the form p + j*z and give j.\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3715 and 0.5.\nAnswer: 1857.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/240 and -97\/72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 468*b - 534. What is the thousands digit of d(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**4\/3 + 20*g**3\/3 + 20*g**2\/3 - 20*g\/3 - 8 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*j + j. Let b(a) = -a + 1. Let g(z) = -4*z + 2. Let s = 8 - 6. Let v(x) = s*g(x) - 10*b(x). What is v(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87348259\/4 or 21837065?\nAnswer: 21837065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 23*l + 0*l**2 + 0*l**3 + 7\/2*l**4 - 12. Differentiate b(o) with respect to o.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w + 3*w)*(-23 + 34 - 94)*(-3*w + 0 + 0).\nAnswer: 1494*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4234003 or 4234005?\nAnswer: 4234003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d + 2*d - d + 5*d**4 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, -4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 1202335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -337\/4 greater than or equal to -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o**2 - 6*o + 4. Let j be g(4). Suppose 8*v + 52 = 12*v. Suppose -2*p = 3*p - 25. Solve j = -p*q - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/11, 0.5, 2\/5, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 - 3. Let o(b) = -4064*b**3 + 4*b**2 + 12. Determine o(n) + 4*y(n).\nAnswer: -4060*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 1\/7, 3, -2\/269?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6013 is divided by 862.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -27*v - 52. Let z be p(-2). Suppose -2*i - 5 = l - z, 3*i = 2*l - 8. Which is the second biggest value? (a) i (b) -2\/3 (c) 3\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2 + 2979973*y - 13409838 = 0.\nAnswer: 9\/2, 1489982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k + 66. Let l be a(-7). Let d(r) = -r - 1. Let m be d(2). What is the nearest to m in l, -0.2, -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let z(t) = 2*t**n - 9*t**3 - 5 + 4. Suppose 2*g + 0 - 3 = 3*x, 5*g = 0. Calculate z(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -33.974 and -3.7943042.\nAnswer: -37.7683042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 18*o - 50. Let h be s(-15). Is 0 - (-6)\/15 - 6803\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 9*s - 8. Let l(t) be the second derivative of -t**3\/6 + t**2\/2 + 6*t. Determine 3*f(k) + 24*l(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 4. Let j = -355 - -429. Calculate the remainder when j is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.79 + -0.7900025. Round i to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38651, 38653, 38655?\n\"Answer: 2*p + 38649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-297*b - 311*b + 405*b) - b + 5 - 5.\nAnswer: -407*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 48?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-14) + 7\/(-98)*2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1.4.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9502835 - -4637380977\/488. Let b = -15\/61 + i. What is the common denominator of 527\/170 + -2 + 5 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1 (b) 5 (c) -5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) 1 (c) 2\/5 (d) -1\/3 (e) 5.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cb74c - -15?\nAnswer: cb764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 11*w**2 - 24*w + 8. Give x(-11).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2)**(-29)*x**(4\/7)\/((x*x*x**(2\/5))\/x) assuming x is positive.\nAnswer: x**(-3074\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(448\/(-80))*(-4)\/(-10). Sort 2, 26, z.\nAnswer: z, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 228 = 2*p, 5*j - 4*p = -198 - 900. Let c = j - -337. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(-2 + -2*sqrt(700)) - ((2 + sqrt(700) + -4 + sqrt(700) + sqrt(700))**2 + sqrt(700))*-4).\nAnswer: -500*sqrt(7) + 25210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + g + 2 = 4*x, g = -5*x + 14. What is the second derivative of -19*z + 775*z**2 + x*z**4 - 7*z**4 - 774*z**2 wrt z?\nAnswer: -60*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Let s(c) = c + i*c + 0*c + 4. Let h be s(0). Solve -1 = a - 3*y + 4*y, 14 = -h*a + y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(2) - -1*sqrt(363).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-29))\/p*p*p**(-1\/3)\/p)**(-40))**(-49))**41 assuming p is positive.\nAnswer: p**(-7071680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*(-1 + 1))\/2. Suppose -5*l = 4*y + 22, 3*y - 5*l - 12 = -46. Let h be y*(-3)\/(-15) + 2. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + z**2 - z - 2*z**2. Let o be g(3). Suppose -4*i + 8 = -3*j, 3*j = j + 3*i - 7. Solve o*l - 2*l = -3*n + 4, 5*l + 4*n = j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 16 - 4, 32 = 5*h - 3*d. Suppose -w + 6*w = h*t + 83, -5*w + t + 92 = 0. Calculate the greatest common divisor of 247 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 10*p = 24. Suppose p = 3*z - 1. Solve 4*d - 5 = z*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (1 + (-2 - (-2 - 5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5421\/6)\/(58\/116)?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 639792650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3277520 and 63600?\nAnswer: 49162800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25466049.79999989 - 25466048.4. Let w = x - 1.4. What is w rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aafz when four letters picked without replacement from fzfzffzafffzza?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 1, r: 1, t: 1, q: 3}. What is prob of sequence yqqt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-4)\/56)\/(-3*(130\/(-1470))\/(-13)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-9)\/k)\/k))\/(k*k**0*k)*(k**(-2\/7))**(-34) assuming k is positive.\nAnswer: k**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-759)\/(-77) - 13)*(-7)\/2. Is 6 a factor of (-64)\/(-3 + k) - -301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 12:21 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 2, g: 7, u: 3, w: 1}. Give prob of picking 1 g and 1 w.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 8 = -4*x. Let a be (-1 + (-1)\/x)*0. Suppose -m + a*m + 3 = 0. Solve 0 = -3*o + 3*j, o + j - m = 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13*l + 84 = -8*l. Calculate the remainder when 691 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:37 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 33*l - 15. Let h(x) = 2*x - 1. Let c(n) = -g(n) + 15*h(n). Calculate c(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 3*m**2 + 2*m - 7. Let f(c) = c**3 + 2*c**2 + c - 6. Let r(a) = -7*f(a) + 6*x(a). Determine r(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 8*o**2 + 20*o + 2. Calculate c(11).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g = -5*g - 17199. List the prime factors of g.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*x + 26589, 4*a - 105884 - 388 = x. What are the prime factors of a?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91452 bigger than 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-23 - -4) - (1 + 1 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.2 - 6.2. Suppose 3*f - l = -2 - 6, 2*f + 22 = 4*l. What is the closest to t in f, 0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.21 + -34.21. Let j = l - -32.828. Round j to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1093*a**3 + 953*a**3 - 2507*a**3)*(-a**2 + 0*a**2 + 2*a**2).\nAnswer: -461*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471029 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 11*v**2 - 11*v - 3. Let d be (-10)\/(-4)*(-7 + 8)*-4. Determine c(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145789 is divided by 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4) - 2\/(-4). Let v be (3 - 2)\/(2 + z). What is the remainder when 35 is divided by v*(3 + -1 + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19800*s**3 - 26036*s**2 + 2 wrt s?\nAnswer: 118800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 3, a: 1, g: 1, d: 1}. Give prob of sequence aaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-5)\/(25\/30). Let x(n) = 9*n**2 - 5*n + 7. Let h(f) = -14*f**2 + 8*f - 11. Give o*x(z) + 5*h(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**5 + i + 4*i - 5*i + 4*i**2 wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 4. Let f be y(-6). Suppose -3*k + 48 = f*n, -26 = -k - 3*n - n. Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6256767*p**3\/2 + 36*p**2.\nAnswer: -3*p**2*(2085589*p - 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3083175 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110673825 and 49805?\nAnswer: 774716775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 406\/4*1852\/6482.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 43.648218\nAnswer: 480.130398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 322 and -15?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -833 by -119.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2812*l**2 - 4227*l - 570. Let q(y) = 937*y**2 + 1409*y + 180. Let f(d) = -6*c(d) - 19*q(d). What is the second derivative of f(r) wrt r?\nAnswer: -1862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*o + 32121 = 0, -3*j + 0*o + 4*o = 24083. Let z = 96257\/12 + j. Calculate the common denominator of z and -83\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5 + 479*v**4\/4 - 607*v**3\/4 - 239*v**2\/4 + 363*v\/4 = 0.\nAnswer: -121, -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*z - 15, -6*z + 15 = 3*g - 2*z. Let i(o) = -o**2 + 5*o - 5. Let r be i(g). Let p = 3 - r. Calculate the greatest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 less than or equal to 1.337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8694.751 days?\nAnswer: 751226486400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 5*o + 3*o**2 + 0 + 1\/3*o**3. Give d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -328, -530, -796, -1126, -1520, -1978?\nAnswer: -2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*z - 2. Let m(w) = w**4 + w**3 + w**2 - 1. Let y(g) = 3*g**4 + 4*g**3 + 6*g**2 - 5. Let a(j) = z*m(j) - y(j). Factor a(c).\nAnswer: c**2*(c + 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.77 + 27.47. What is the biggest value in g, 0.5, -0.64?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -1*16 - -1. Calculate the remainder when 40 is divided by (84\/o)\/(4\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207640 is divided by 69211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1656468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5723? (a) -5 (b) 0.5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - -192. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 not equal to -1179.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(21)\/(sqrt(7) + sqrt(14)\/sqrt(2)))**2 - sqrt(36)\/sqrt(3)).\nAnswer: -2*sqrt(3) - 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 811*m + 129*m + 125*m - 1196*m + 129*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 13*r - 2. Let a be u(6). Suppose 0 = a*p - 2*q - 1 - 21, -4*p + 13 = q. Solve 4*o + 16 = p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038841 rounded to four decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*d - 1625 = 1143 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 52*k + 23. What is y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7644946 rounded to four dps?\nAnswer: 0.7645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.33 - -0.33. Put 0.4, 3, x in decreasing order.\nAnswer: 3, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -3*v**7\/1120 + v**6\/480 + 10*v**3\/3 - 9. Let t(i) be the third derivative of j(i). Determine z so that t(z) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(11))*4.\nAnswer: -20*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/520 + (-1)\/(-4).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 14 = 3*u, 3*u + 0*u - 3*y = 18. Suppose 2*m - u = 12. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 24*h + 93. Let u be o(-15). Suppose c - 2*c - k + u = 0, k + 1 = 0. Solve -c*d + 16 = -8*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010 (base 3) to base 16\nAnswer: -6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l + 2884 - 13684. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfvxvxvxuuxovvw. What is prob of sequence ofv?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 - 20*k**2 + 12*k**2. Let s(d) = -d**2. Let b(p) = -s(p) + v(p). Let q(o) = -2*o**2. Give b(q(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 6*u - 60 = u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889667281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Suppose -u + 26 = z*b - 55, -5*b + 192 = -u. Let w = -25 + b. Are w and 14 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-10) - 1)*-10. Suppose 0 = -3*t + s*o + 885, -5*t - 2*o + 1509 = o. Is 27 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-18)*7)\/(3160\/(-2370))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17336.\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 - 3*i**2 + 3*i**2 + (-i**3 - 3*i**3 + 2*i**3)*(-i + 5*i - 5*i) + 3*i**4 - 2*i**4 + i**4 + (27*i**2 + 57*i**2 + 2*i**2)*(-i**2 - 4*i**2 + 2*i**2).\nAnswer: -252*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + 1.58. Let x = -1.6 + r. Which is the closest to 0? (a) -0.1 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3524 + -1052. Let m = q - -109. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 21, 3, -31, -87, -171?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + x - 1. Let y be h(0). Let b be (y\/(-2))\/((-1)\/(-4)). Solve 0 = o + b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1081 - -295. Suppose 12*s + 4*s - f = 0. Is 85 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -589 + 628. What is the nearest to m in 2\/7, 0, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - -1) + (82 - 85)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22787 * -0.4.\nAnswer: -9114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/7)\/((-4)\/(-28)). Suppose 8*m - 4*h - 55 = 3*m, 3*m + o*h = 33. What is the remainder when 41 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnngnnnnnnugugng. What is prob of picking 3 g?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/598, 5, -26\/9, 25?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17983 is divided by 83?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -7 - 1) + (-10 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.093 (c) -0.2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4428928 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4883 is divided by 69?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010110111000110011111 - -1?\nAnswer: -111010110111000110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 16. Let r = l - -49. Let v = r + -39.0000058. What is v rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/550*22\/12*110\/(-15)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/30)\/((-15)\/25)*1*-13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/952359 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**3 - 5*d + 2. Let l(w) = 8*w**3 - 3*w + 1. Let u(z) = 5*l(z) - 3*n(z). Differentiate u(a) wrt a.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 4. Let k be (-14)\/2*v\/7. Let n = -4 - k. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 2*d**3 - 3*d - 2*d**2 - 17 + 21. What are the prime factors of h(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 147*p**2. Let t(s) = 2*s - 12*s + 6*s - 16*s + 7*s. Determine d(t(c)).\nAnswer: 24843*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 9*s**2 - 2*s - 25. Let o be m(8). Let t = o - 16. Let l(x) = 3*x**2 - 18*x + 16. List the prime factors of l(t).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -220*z**2 + 283 - 210*z**2 - 214*z**2 + 2227 - 322*z + 639*z**2 wrt z.\nAnswer: -10*z - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(27)*4)\/sqrt(9)*3 + (sqrt(135)\/sqrt(9)*-3)\/sqrt(5).\nAnswer: -2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 394849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 964*u**2 + 53*u - 10. What are the prime factors of j(5)?\nAnswer: 5, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42725984, 85451967, 128177950?\n\"Answer: 42725983*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {n: 1, m: 7, p: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 10*q + 84. Find the common denominator of 97\/2 and (-958)\/q + 8\/(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10739331719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/7 (b) 55 (c) 0.355 (d) -1\/3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 5*v**2 + 5*v + 1. Let m = 17 - 13. Give z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 2*f**2 + 5. Is 9 a factor of g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7068 (base 14) to base 4\nAnswer: -10231210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1045819*o**2 - 2248323.\nAnswer: 2091638*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -329, 0.8244, -4, 0.1?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*i*m**6 - 4*i*m**4 + 5*i*m**3 - 9*i*m**2 - 15*m**2 + 5 wrt m.\nAnswer: 1560*i*m**3 - 96*i*m + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 + 9*g - 1. Let n be d(7). Let w = 8 - 6. Let u = n - w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - 0) + -2 + (-1408 - -1433)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p + 1. Let j(d) = -4*d + 2. Let o(y) = -3*c(y) + 2*j(y). What is the least common multiple of o(5) and 1 + -2 + 3 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, -6, -15\/22?\nAnswer: -15\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2432)*1*-3 + sqrt(2432) - sqrt(2432) - sqrt(2432)) + sqrt(2432)*1*5)\/(-6*(sqrt(242) + 1*-2*sqrt(242))) + 2)**2.\nAnswer: 16*sqrt(19)\/33 + 4660\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10764, 10745, 10738, 10737, 10736, 10729, 10710?\n\"Answer: -w**3 + 12*w**2 - 48*w + 10801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299204031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(343) + 2 + sqrt(343) + -5 - sqrt(343) - -5*(sqrt(343) + -2 - sqrt(343)))*4)**2*2 + -5.\nAnswer: -5824*sqrt(7) + 16379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 25 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g + 16*g**2 - 3*g**3 + 0 + 29\/24*g**4. What is the derivative of c(f) wrt f?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -19, -3, 1.7 in descending order.\nAnswer: 1.7, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 39. Let i be (-501)\/(-33) - 1 - k\/(-44). Suppose 11*w - i = 4*w. Solve 4 = r, 0 = -w*l + l + 5*r - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-204)\/(-18) - (-1)\/(-3). Suppose 7*x - 4 = y*x. Let o be (-38000)\/(x*(-5)\/(-25)). What is o rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 13*s + 31. Let r be l(7). Let m = r + -58. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 42908.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 115, 139, 181, 247, 343?\n\"Answer: u**3 + 3*u**2 + 8*u + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.802 to one dp.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucuuuccccu. Give prob of sequence cu.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4 = -14. Let h be 0\/2 + -36*(-16)\/24. Suppose 5*o - h = d, 0*o - 4 = o + 2*d. Calculate the highest common divisor of s and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5460 (base 7) to base 11.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 2*v**2 + v**2 + (918 + 5 + 101)*(-5*v**2 + 2*v**2 - 2*v**2) to the form u*v + o + a*v**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)\/((d**0*d)\/d*d)*(d**(-1)*d)\/(d\/((d**(4\/5)\/d)\/d)) assuming d is positive.\nAnswer: d**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 3, -905, 0, 4, 383 in descending order.\nAnswer: 383, 21, 4, 3, 0, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -28\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.72 - 1.24. Let h = b - -5. Let k = 2.04 - h. What is the biggest value in 4, -0.1, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 5:27 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from kwkkkkkkkwkwwwkkwk.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*y - 1\/4*y**3 - 19\/2*y**2 - 42.\nAnswer: -(y - 2)**2*(y + 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 3*m**2 + 4*m. Let t be u(4). Suppose t = -2*z + 1 - 3. Let l = -0.9 - -1. Which is the second biggest value? (a) z (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/97 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 261*u + 26 = -257*u, 4*u - 61 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/4 + h**2\/2 + 8. Solve b(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/3 + 6*m**4 - 58*m**3\/3 + 26*m**2 - 12*m = 0. Calculate m.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*x + 14, 0 = 2*h - 7 - 3. Suppose -60 = -4*n - l, -3*n = -5*l - x - 32. Solve 4*s = -n + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 7. Let z(u) = 2*u**2 - 6*u + 1. Let a be z(4). Let j = 21 - a. Suppose 0*x - 2*x = -j. Give r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10190, -9143, -8096?\n\"Answer: 1047*t - 11237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y = -2*v, 4*v = -4*y. Let b(m) = -m**3 + 10. Let q be b(v). Let z(j) = 4*j - 1. List the prime factors of z(q).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3000 + 49*w**2 + 51*w**2 + 3000 - 194*w**2 + 47*w**2 + 50*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 80 + -19 + -78 + (2 - -13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*g = -543, -3*g + 442 + 1178 = -3*d. What is the tens digit of 3\/18 + (d\/(-6) - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from ynssy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35786, -35628, -35364, -34994, -34518, -33936?\n\"Answer: 53*z**2 - z - 35838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is -399 greater than or equal to -400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from ugggggggggggg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from tbybbtybtttbtbtbtttt?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 329063428 rounded to the nearest 1000000?\nAnswer: 329000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 20. Let p = 1 + f. Suppose p*i - 2*i = -70200000. Round i to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6*i - 9 = 0. What is the third derivative of 14*z**5 - 14*z**5 + i*z**6 - 3*z**3 - 7*z - z**2 wrt z?\nAnswer: 360*z**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/24 and (-28)\/(-320)*((-2080)\/(-15))\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 51892935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8353134 divided by 6\nAnswer: -1392189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1432*d - 4*s = 1397*d - 62, 5*d + 6 = 2*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:48 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60948411 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 2 + b - 5*b. Let z(i) = -2. Let v(u) = -6*d(u) + 7*z(u). What are the prime factors of v(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24542819.92 to the nearest ten thousand.\nAnswer: -24540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*r + 4*q + 6, 2*r = -2*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 15*q - 4*w + 6051 = 0, -5*q + 10090 = 5*w. Let n = 3658 - q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 64*p**2 - 5*p + 2. Let u(i) = 2*i**2 - 2. Give c(y) + u(y).\nAnswer: 66*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2290?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 33 - 30 = 0. Let n = 14 + q. Suppose -n*p = 0, -3*u + 104 = p - 34. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - 69*l**2 + 303*l - 51. Calculate q(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.16238 nanograms in kilograms?\nAnswer: 0.00000000001216238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 74*p + 71*p = 27, 0 = 5*v + p + 49 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2385964 is divided by 2385911?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-5841\nAnswer: -3504.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 365, 93, -0.2, 4, 11 in decreasing order.\nAnswer: 365, 93, 11, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 66*r + 46 = 70*r, -3*r = 2*l + 8. Let g(i) = i**3 + 10*i**2 - 2*i - 20. Determine g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Suppose 3*k + 19 = 5*i + 79, 2*i + 81 = 5*k. Suppose -g*q - 5*f + k = q, -5*q - f + 11 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, -8, 2, 21, -5.\nAnswer: -8, -5, -3, 2, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j - 2*i - 64, 2*i + 124 = 4*j. Suppose -27*w = -j*w + 402. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664698?\nAnswer: 2, 3, 139, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 186\/336 + (-3)\/24?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - 2*u**4)*(4 - 2 + 0)*(-1 + 1 - 2*u) + 128*u - 128*u + 86*u**5.\nAnswer: 94*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((46 - 37) + -10)*-45?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000945433 to seven decimal places.\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 7*o**3 - 16 + 617*o**2.\nAnswer: -7*o**3 + 617*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3837, -32019, -108513, -257475, -503061?\nAnswer: -869427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 407366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 8009, 1, -2 in increasing order.\nAnswer: -5, -2, 1, 12, 8009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.03 - 0.03. Let l = -3.1286 - -3.04. Let m = -0.1114 + l. Which is the second smallest value? (a) t (b) m (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -26, -36, -48?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 33*n - 239. Let i be m(-6). Which is the fourth smallest value? (a) 0.5 (b) -3 (c) i (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2741, -5495, -8289, -11141, -14069, -17091, -20225, -23489?\nAnswer: -26901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euziaezizzeiuzuuau. What is prob of sequence ezzz?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.955512086 + 0.044477814. Let d = -17 - -39. Let l = o - d. What is l rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0.4. Let a = 0.5 - 0.6. Let i = w - a. What is the closest to 2\/3 in -4, -3\/8, i?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 10) in base 13?\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4\/11, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 410*r - 433*r - 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 363\nAnswer: -2\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 49*y + y**3 + 2 - 4*y**2 - 50*y + 0. Let w be k(4). Let u be ((-8)\/(-50))\/((-6)\/5). Which is the nearest to w? (a) -2\/5 (b) u (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 4. Let r be i(2). Let u(p) be the first derivative of 0*p**r - 2 - 4\/3*p**3 + 0*p. Let k(w) = -2*w. Give u(k(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*b + 72, -5*r + 61 + 85 = -2*b. Calculate the greatest common factor of r and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 352*d + 702*d - 4 = 353*d, 3*b + 14*d - 113 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2292 divide 740702152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/(-68) - (-1 - (-342)\/8). Let g be (-3 - 122\/b)*-3. Is 0.1 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -848*r**2 - 1225350*r - 138708 = 0.\nAnswer: -11559\/8, -6\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, b: 6}. Give prob of picking 2 b and 2 q.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/33 and -20\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0, -7.2587, -0.5, -0.09?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.10249 - -0.103. What is c rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l - 87. Let r be n(9). Factor 2\/3*d**3 - r*d**2 + 4*d - 4\/3.\nAnswer: (d - 2)**2*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -3468506?\nAnswer: 65\/3468506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135872 - -1222886\/9. Let y = -68208396\/91 + 749553. Let f = y - 74\/7. What is the common denominator of r and f?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -312*i**2 + 3*i + 6. Let q be n(6). Let l = q + 156811\/14. Let t = -1386701\/80778 - -2\/13463. Calculate the common denominator of l and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -432.42931 rounded to 1 dp?\nAnswer: -432.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575 = -296*a - 77 + 60. Let p be 0 - (2 - (-2 - -4)). Sort 153, a, p.\nAnswer: a, p, 153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 9*y**2 - 2*y - 9. Let b be p(-4). Let l = b + 90. What is the remainder when 28 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3485.456949 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(192)\/sqrt(6)) + 2 + (-5 + 5 + sqrt(77)\/sqrt(7))*-4.\nAnswer: -15*sqrt(11)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**3 + 2*f + 5*f**4 + 6*f**3 - 41496*f**2 + 41496*f**2 - 3*f**4 as o*f + b*f**3 + g + w*f**4 + x*f**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 162 in 20, 0.4, -5\/2, 2\/9, -28?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + m**2 + 4*m - 3. Let i be q(2). Let u(f) be the first derivative of 13*f**4\/2 + 2*f**3\/3 - f**2 + f - 148. What is u(i)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 77*m - 62. Let g be s(39). Let d(w) = w**3 + 23*w**2 - w + 17. What is the tens digit of d(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-16)*2)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 9:01 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**5 - 40*u**4 - 20*u**3 + 160*u**2 + 144*u = 0.\nAnswer: -9, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1456*j + 11656. Calculate n(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159207?\nAnswer: 3, 53069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 1\/5*y**5 - 1 + y + 0*y**6 + 0*y**2 - 1\/21*y**7 + 0*y**4 - 1\/3*y**3. Let v(a) be the first derivative of q(a). Factor v(d).\nAnswer: -2*d*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1187, 1185, 1183, 1181?\n\"Answer: -2*m + 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*d - 1 + 25*d + 2*d**3 + 4*d**2 to the form n + o*d + t*d**3 + j*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 109773 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*z**3 - 219 + 42 + 177.\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3594627?\nAnswer: 3, 399403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 6. Suppose -r + 5*r = -40. Let j(g) = g**2 + 11*g + 14. Let s be j(r). Calculate the highest common factor of s and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 5. Let z(r) = -2*r - 4. Let o(s) = -19*s - 4*s**2 + 0 - 18 - 18 + 3*s**2. Let v be o(-16). Let t = -18 + v. Determine t*n(m) + 7*z(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 25 - 11)*(0*w + 3*w + 0*w) + 58*w - 12*w + 53*w.\nAnswer: 165*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430840?\nAnswer: 2, 5, 35771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79561 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39\/209 + -20379\/1672. Calculate the common denominator of w and 35\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 4*c + 2. Let u be l(-4). Let q = -7 - -11. Suppose 5*f + 25 = -3*d, -q*f + d - 19 = 1. Sort 0, f, u.\nAnswer: f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.4305609 to 2 decimal places.\nAnswer: 70.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 38*a + 104. Calculate w(-35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2082 times 2.37\nAnswer: 4934.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 + 4*n + 2. Suppose 0*s = -4*s + 44. Let l(r) = -8*r**2 + 11*r + 6. Let j(d) = s*f(d) - 4*l(d). Give j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 314838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(2))\/sqrt(11) + -2*sqrt(242).\nAnswer: -21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3879 + 3878.5. Let x = -3.7 - 0.3. Sort 0.2, x, -7, o in descending order.\nAnswer: 0.2, o, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146*w + 31*w - 23*w)*(-8*w**2 - 10*w**2 + 4*w**2) + 2*w**3 - 2*w**3 + 3*w**3.\nAnswer: 1935*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9182087820 + 0.0162?\nAnswer: 9182087820.0162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**2 - 7*n - 102. Suppose -3*o + h - 20 = 0, 2 + 3 = -3*o - 2*h. Give x(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 32. Calculate f(21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/11 in -13, -0.3, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8170549 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 4. Let i be 1\/2 - (-35)\/10. Let a be s(i). Solve -6*x + a = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*g - 0. Let m = 5 - g. Calculate the highest common factor of m and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45 - 25)*(-8)\/(-10). Suppose -t = -3*k - 10. Solve -3*q - 3 = -k*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 47, 0.2, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 1\/660*h**6 - 1\/44*h**4 + 0*h - 2\/33*h**3 + 0*h**5 - 4*h**2 + 0. Find u, given that i(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43391928 divided by 21695964?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3251*w - 188765 = 490*w + 58141 for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w**2 - w. Let t be x(2). Let b = t + -31. Suppose -5*g + b = 2. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528978469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 143, 249, 359, 473?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-28.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -57*a**7\/7 - 29*a**4\/12 + 5*a**3\/2 - 1864*a. What is the third derivative of b(s) wrt s?\nAnswer: -20520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2324 and 52\/21.\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -11383\nAnswer: -4553.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, x: 3, v: 1, w: 3, h: 2}. Give prob of sequence xlhx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16104 by 33.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*w = -2*w + 16, -2*j - w - 1 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1367*a**3 - 8*a**2 + 8*a**2 - 1522*a**3.\nAnswer: -155*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n. Let w(v) = 16*v**2 - 9*v + 46. Let p be w(17). Let h(i) = -6*i + p - 4517. What is -5*b(t) + 3*h(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -897? (a) 5 (b) -21 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13516 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/((sqrt(5)*-2 + sqrt(5))*-1).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 21*l - 4. Calculate v(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9, -3, -15, -27, -39, -51?\n\"Answer: -12*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -3332?\nAnswer: -3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -21*(-8)\/(-24) + 4\/2. Let s(z) = 7*z**2 + 9*z + 1. Is s(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*v - 175, 3*v - m + 91 = 3*m. Let y = -17 - v. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 4*a + 7. Let y be c(-6). Let m be (1200\/32)\/15*(-4)\/5. Sort 0, 8, y, m in descending order.\nAnswer: 8, 0, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {f: 3, m: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -2\/21, 4, 2\/15, 5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14*(-2 - 63\/(-28))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2099*v**3\/2 + 8312*v**2 + 16120*v - 1344 = 0.\nAnswer: -4, 168\/2099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - -0.8. Let n = 1\/913 + 5465\/11869. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {p: 4, j: 2, k: 2, l: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**4\/8 - 4*g**2. Let b(j) = -18*j - 4. Let s(a) = -40*a - 10. Let o(q) = 15*b(q) - 6*s(q). Give o(y(p)).\nAnswer: 90*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 43*v - 41*v, -3*i = 4*v + 4102. Put 0.4, -5, i, 3\/7 in increasing order.\nAnswer: i, -5, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + -2.83. Let u = 6.8 + j. Let c(k) = -k**3 - 6*k**2 - k - 4. Let x be c(-6). What is the smallest value in -4, x, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.485 + 0.055. Let y = 1.13 + -0.7. Let b = y - v. What is b rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -13. Suppose 21*v + g = 25*v. Let o(d) = -11*d. Let h(y) be the first derivative of 2*y**2 - 1. Determine v*o(w) + 8*h(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -22128*x**2 - 1844*x + 1844. Let c(t) = -19*t**2 - t + 1. What is 1844*c(d) - y(d)?\nAnswer: -12908*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -0.05, -88, 3\/5 in increasing order.\nAnswer: -88, -2, -0.05, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4558)\/(-430) - 44\/4*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 356 - 141. Let h = g + 48. Suppose 0 = -h*v + 13*v - 200. Solve 2*c = -3*c - v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Let v = 0.2 + -0.3. Which is the closest to i? (a) v (b) -0.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13978213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let k(u) = -5*u - 6. Let s(a) = 3*a + 2. Let l(z) = 2*k(z) + 5*s(z). Calculate l(x(v)).\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -359036, -359042, -359048, -359054, -359060, -359066?\n\"Answer: -6*c - 359030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-249)\/6*((-6 - -2) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**3 - 1276285*m**2 + 2552550*m = 0.\nAnswer: 0, 2, 255255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 24. Let r(l) = -5. Let v = -464 - -462. Determine v*p(z) + 11*r(z).\nAnswer: -2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*(-19572)\/9786?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01745 rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48057*h**3 + 12679 - 65*h**2 + 65*h**2 - 12679.\nAnswer: 48057*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o**3 + 2*o**2 + 3. Let h(s) = -7*s**3 + s**2 + 2. Let t(m) = 3*a(m) - 5*h(m). Let x(n) = -4*n**3 + 5*n**2 + 2. Determine -5*t(w) + x(w).\nAnswer: w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 28 = -3*m - 205, 0 = 2*p - 3*m - 121. Calculate the highest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-70))\/(90\/105)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2. Let y(x) be the second derivative of 1\/12*x**4 + x + 0 + 0*x**3 + 0*x**2. Determine i(y(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13928464 is divided by 99489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168910078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*y + 4*p, 0*p = -4*p - 8. Which is greater: y or 15\/172?\nAnswer: 15\/172","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 31*x + 34. Determine f(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 605*c**5 + 7700*c**4 + 32585*c**3 + 53430*c**2 + 27360*c + 4320 = 0. What is c?\nAnswer: -6, -3, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 20. Suppose -4*h + 12 = w*h. Let i = 15 - 11. Calculate the smallest common multiple of h and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*z**5 + 412*z**2 - 412*z**2 + (-23*z**3 + 92*z - 92*z)*(z**2 + 2 - 2).\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*s - 632 + 10, 5*s + 3*y = 1571. List the prime factors of s.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {n: 1, t: 1, l: 1, r: 1, j: 2, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 - 126*d - 3. Calculate the remainder when b(-25) is divided by ((-4)\/2)\/((-2)\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 11*d**2 - 11*d + 20. Let n(z) = -6*z**3 + 3*z**2 + z - 2. Let o be n(-1). Calculate the remainder when k(o) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + 4612. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-108)\/15)\/(-3))\/(((-39)\/(-10))\/(-13))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 21. Let i = h - 12. Suppose -i - 11 = -4*r. Solve 0 = 4*q - 5*g - 16, 7*g - 2*g - 12 = -r*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/16 and 298\/4*(-1)\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79556*n**4 + 45*n**2 + 12569*n - 59 wrt n?\nAnswer: 954672*n**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -114, -146, -144, -96, 10, 186, 444?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1 - -2.8. What is the second biggest value in -0.1, t, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -63. Let o be (-8)\/2 - (7368023 - 7)\/a. Suppose 0 = -3*m - 0*m - o. What is m rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(391\/1785 - 2\/7). Let k(t) = 7*t + 4 + 13*t - n*t. Let z(u) = -4*u - 3. What is 3*k(j) + 4*z(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1737, -5, 7, -2.\nAnswer: -1737, -5, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/6)*a)\/a**(-2)*(a\/a**(-2\/5))**3 assuming a is positive.\nAnswer: a**(251\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-11 - -60) - 12\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - -3*sqrt(117) - sqrt(117)))*4)\/sqrt(9).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2106864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 44*f**3 + 10*f**3.\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z)\/(z\/(z**(-17\/6)*z)) assuming z is positive.\nAnswer: z**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*t + 76*t - 58304 = 0. List the prime factors of t.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330479212 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + (-96 - -169) + -48.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -46*s + s**3 + 1 - 15\/4*s**2 + 1\/8*s**4. Determine o so that u(o) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p + 12*p + 111 = 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 44 - 20 = -8*t, -4*t = 2*y - t - 24 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -16 in decreasing order.\nAnswer: 7, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {p: 3, a: 3, m: 5}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 4. Let j(f) = f + 1. Let m = 8 - 12. Let q(t) = m*j(t) + y(t). Let i(g) be the first derivative of 2*g**3\/3 - 1. Calculate q(i(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + l + 211. Is v(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 9) to base 2.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.619 - 0.381. Let n be -5 + 2 - (-59)\/19. Which is the third smallest value? (a) -0.01 (b) n (c) l (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + -10 - (-1 + -12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*a = 4*h - 90*a - 1362, -10 = 5*a. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83011 times 37.6?\nAnswer: -3121213.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-21))\/((-616)\/(-392)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9*(-1)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 915 + -957. Let x(r) = 5*r**2 + 7*r - 7. Let m(g) = g**2 + g - 1. Give a*m(i) + 6*x(i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11864, -11868, -11872, -11876, -11880, -11884?\n\"Answer: -4*b - 11860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-97)\/(-2))\/(165\/110). Let w be ((-2)\/(-3))\/(40\/1860). Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 515\/86 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 + -400?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 2, c: 1, n: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -320 and 0.7?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 56523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67*(-178)\/(-29815)*(-130)\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-112)\/20 + 5). What is the second biggest value in t, -0.3, 0.12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 38. Suppose -3*m = -0*m - 18. Suppose z = 2*h + c, 2*h + 54 = m*h - 3*c. 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: Find the common denominator of -67\/38948 and -35\/312.\nAnswer: 233688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 + (6 + -2 - 6). Is (4007\/4)\/(g\/64) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16630*l - 271557 = -724189 - 628318 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/2 - (0 + 0). Suppose q*v = v + 85. Suppose 0 = 7*u + u - 136. Calculate the greatest common divisor of u and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 28*j - 601. Calculate z(-42).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**7\/840 + y**4\/12 - 2*y**3\/3 - 3*y. Let m(w) be the second derivative of s(w). What is the derivative of m(l) wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116407 divided by 9?\nAnswer: 116407\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -4*d - 0. Let z = 55838 + -55869. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**3\/3 + 5*s**2\/2 + 2*s. Let x be (-2)\/(-1) - 0\/(-1). Suppose -n - 3 = -x*n. Let b(k) = -k - 4. Give n*d(v) + 4*b(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68)\/sqrt(4)*-6 + sqrt(17))**2.\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1625 and 1721525.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 129\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5 + 2930*l**4 - 23878*l**3 - 457530*l**2 - 1325700*l = 0.\nAnswer: -1473, -5, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -2705?\nAnswer: 2709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1 + 36\/(-21). Which is the smallest value? (a) -0.4 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 5*k - 3. Let c be r(-6). Let s be 3\/(-9) - (-7)\/c. Suppose s*o = 5*o - 63. Solve -5*t - o = 4, t = 2*y + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 69. Let f = 15317 + -15350. Determine c(f).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1346 + 0.07.\nAnswer: -0.0646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 12*q. Let c(i) = 12*i. What is g(c(r))?\nAnswer: 144*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 12*m**2 + 3*m + 10. Is t(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10288289*-9\nAnswer: -92594601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -4.8. Let v be 5\/(-33) - (-38)\/(-209). Let d = -419 - -7121\/17. Which is the closest to 0? (a) v (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 16*z**2 + 25*z - 38. Does 9 divide i(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:12 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**3 - 3*y**2 + 3*y**2)*(2*y + y - y) + (-17 + 8 + 11)*(-4*y**4 + 3*y**4 + 0*y**4) to q*y**4 + l + v*y + b*y**3 + m*y**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11 + -4*(-2)\/4. Let b = g + 12. Solve -5*p = -b*u + 34, -2*p - 3*u = -4*p - 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 3*z**2 + (z**2 - 3*z + 3*z)*(-2 + 4 + 0) - 9*z**2 + 3*z**2 - z**2 to j*z**2 + y + u*z and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(14)*4 - (5*sqrt(56) + sqrt(14)))\/(sqrt(50) - ((sqrt(3200) - -2*sqrt(3200)) + sqrt(3200))).\nAnswer: 7*sqrt(7)\/155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.8. Let u = 0.008 + -0.108. Sort u, 1.4, g.\nAnswer: g, u, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*p**2 + 32\/7*p + 34\/7.\nAnswer: -2*(p - 17)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 108*h + 617. Determine y(-44).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 30*x = 29*x + 2, 210*m - x + 2 = 214*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-1\/28))**0*(j**(1\/2))**(-21)*(j**5*j)\/(j**(-1\/15)\/j) assuming j is positive.\nAnswer: j**(-103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 119 = -113 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28924 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*8\/(-80))\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -0*w + v - 3*v + 70, -3*w - 230688 + 230811 = 3*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/8 and ((-12)\/105)\/((-6)\/(-195))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/18 and 47\/207?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 22. What is the common denominator of -91\/12 and 1\/f*-202 - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(51) - (sqrt(816) - sqrt(51)))\/sqrt(3) + (sqrt(17) - (-6*sqrt(34)\/sqrt(2) - sqrt(17))) + sqrt(17)).\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(2240)*-1*1)\/(sqrt(63)\/(sqrt(27)\/sqrt(3)) + (sqrt(245)\/sqrt(5))\/sqrt(7)) + 1.\nAnswer: 1 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 819 + 822 + 1138*j - 5*j**3 + 820 - 2463 in the form a*j**2 + u*j + b + z*j**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3020 + 3240. Calculate the highest common divisor of 935 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236850397.\nAnswer: 7, 199, 170029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 3*t**4 - t - 4*t**4 + 0*t**4 + 2*t**4 + (-6*t + 2*t + 2*t)*(2*t**3 - 3*t**3 + 2*t**3) - 23*t**4 - 31*t**4 + 19*t**4 - 2*t**4 + 3*t**3 - 3*t**3.\nAnswer: -38*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m**(-2))\/(m*m*m*m**0)**(1\/6)*((m\/(m\/m**(-3\/7)))\/(m**3\/m))**(1\/3) assuming m is positive.\nAnswer: m**(71\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*b - 1461 + 1461)*(-4*b - b + 4*b) - 1 + 1 + 4*b**2.\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -1)*11\/(-3). Suppose -z + 36 = 5*r, 4*z + 5 + c = 0. Suppose 5*x = x + r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/2 + (14 - 10))*186. Let v = t + 339. Suppose 2*f - 21 = 19. Calculate the highest common factor of f and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16491 and -67114365.\nAnswer: -67097874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*o**3 + 2*o + 0*o - o**4 + 3*o**4 + 0*o**3 as r*o**2 + q*o + w*o**3 + c*o**4 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-35) - (-676)\/(-30). Let m = 22 + z. What is the second biggest value in m, 1, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45, 63, 95, 147, 225, 335, 483, 675?\n\"Answer: d**3 + d**2 + 8*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 4, -5 in decreasing order.\nAnswer: 4, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 957957 and 8932?\nAnswer: 3831828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/7287 and -46\/1041.\nAnswer: 7287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*z = 219*z + 67*z - 11980 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6117 + -5246. Calculate the greatest common factor of h and 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/10 or 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3377960*o + 2452654*o + 1891279*o.\nAnswer: 7721893*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2360 and 88?\nAnswer: 25960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7428 is divided by 491.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**29*n)*n\/(n*n**(-3\/10)))\/(n*n\/(n**(-7\/4)*n)*n\/n**(3\/4)) assuming n is positive.\nAnswer: n**(-327\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t**2 - 1\/33*t**3 + 0*t + 0*t**4 + 1\/55*t**5 - 70. Solve k(u) = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 5)*(1 - 1 + 2*v)*(1 - 1 - 2).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**0)\/s)**(2\/3)\/((s*s*s**(-5\/6)*s)\/s*(s*s*(s\/s**(5\/4))\/s*s)\/s) assuming s is positive.\nAnswer: s**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 19. Suppose j = 4*m - 23. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -c + 7, l + 2*c + c = -3. Suppose -4*b + 33 = -q + 6*q, 2*b = l*q - 11. Solve -b*m = 2*t, m - 12 = 5*t - 0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79 and 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k - 4*k**3 + (-3*k - k**2 + 3*k)*(-4*k + k + k) - 4*k**3 + 4*k**3 - 3*k + 3*k**2 - 2 + k**3.\nAnswer: -k**3 + 3*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(6\/4*1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a factor of 2205990618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26653, -213002, -718765, -1703650, -3327365?\nAnswer: -5749618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0509 + 3.1391. What is z rounded to 1 decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z - 7. Let v be l(-5). Let p = v - -7. Suppose -4*d + 2*w + 2 + 4 = p, 0 = -2*d - 5*w + 9. Calculate the remainder when 3 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 29*r + 187. Let k be x(-8). Let c = 93 - 43. Let l = -96 + c. Is k at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**7\/315 + 4*l**6\/315 + l**5\/210 - 4*l**4\/63 + 4*l**3\/63 + l**2. What is f in t(f) = 0?\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + k + 1. Let x(i) = -5*i**2 + 4*i + 3. Let p(o) = 4*l(o) - x(o). Let h(r) = 8*r**2 + 5. What is h(z) - 5*p(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 3*x**2 - 3*x - 3. Let u(n) = -5*n**2 - 5 + 2*n**3 - 12*n + 2*n + 6*n - n. Let k(j) = -7*q(j) + 4*u(j). Suppose 0*v - 2 = 2*v. Calculate k(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.58 + -0.42. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:07 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/24 + 3\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 5) + (-6 - -1) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 38206.8414 seconds?\nAnswer: 0.0631726875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*q - 72 = -0*v, 0 = -3*q - 12. Suppose v*x = 17*x + 2. List the prime factors of (1 + -2)*14*x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - 0) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*c*d**2*j**2 - 37*c*d*j**4 - 1628620*c*j**2 - c*j - 4720036*d**2*j**4 wrt j?\nAnswer: -888*c*d*j - 113280864*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*l + 49, 0*t + 53 = t - 2*l. Suppose h = 5*q + 13, -3*h = -0*h - 4*q - t. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56826 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-441)\/6*-2*1\/3. Let r = f + -59. What is the units digit of (-2)\/(-4)*56\/r*-85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*y - 2*p + 75, 9*p - 57 = 5*y + 13*p for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*r + 2 - 4 + 37*r)*(-2 + 3 - 2 + (0 + 0 - 1)*(1 - 2 + 0) - 2 - 1 + 2 - 6 + 6 - 6).\nAnswer: 49*r + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -49. Suppose 0*s = -s + z - 1, 0 = 2*s + 2*z - i. What is the third derivative of -3*c**s - 10*c**4 + 36*c**4 - 13*c**2 - 7*c**2 wrt c?\nAnswer: 624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18*w. Let b(p) = p**2 - 4*p. Let x(f) = -2*f. Let i(c) = 2*b(c) - 4*x(c). Calculate i(u(t)).\nAnswer: 648*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 593 = -539 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - 53 - -88 - ((0 - 1) + 4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.55237 to one dp.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18888 and 210?\nAnswer: 661080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 808.8?\nAnswer: -2426.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 15, l: 5}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (68\/10)\/(4\/20). Suppose l - 202 = -3*s. Let o = 27751 + -27743. What is the highest common factor of s and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*v - 1618 - 1490. Suppose -5*n + 565 = 5*q, -q + 6*q - 453 = -4*n. Calculate the highest common factor of n and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*j - 13 = 0, -2*p - j - 5 = -4*p. Let y = 1\/50 + 97\/150. Are p and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f + 7*f - 7*f + 6. Let l be o(-3). Is 6\/4*9378\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2259 + 5*x + 610 - 1783. List the prime factors of u(0).\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8064 and 33285504.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -223, -403, -631, -907, -1231, -1603?\nAnswer: -2023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, 57, 3, -6206 in ascending order.\nAnswer: -6206, 1, 3, 10, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -410 by 2.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 + 0*f**4 + 0*f**4 + (-3*f + 3*f - 2*f**3)*(2*f + 5 - 5) - 4*f**4 + 4*f**4 + 2*f**4)*(-10*f - 140 + 140).\nAnswer: 40*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 22*q + 228 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4753093 is divided by 1100?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {m: 3, g: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425970151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85815 and 26280?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 15. Let z be n(-6). Let g = z + 7. Factor -d**4 + 9*d**g - 2*d**4 - d**4 + 20*d**3 + 20*d**2.\nAnswer: 5*d**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+11.251005\nAnswer: 11.351005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18406617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 2*n - 1170 = 0. Let q be (-17)\/51 + 23\/n. Let i = -16 + 15. Is i <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213836 is divided by 594.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9873226 divided by 17?\nAnswer: -580778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 208? (a) 0.4 (b) 0.7 (c) -0.4 (d) 6\/617\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3199 + -3198. Which is the third smallest value? (a) -3 (b) s (c) -307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 175 - -213. Calculate the remainder when b is divided by 99.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/((c*c\/(c*c**3))\/c))**(-1\/3) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**4\/12 + l**2\/2 - 4*l + 2. Let t(k) be the first derivative of d(k). Find the first derivative of t(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/20 - 0)*(-6)\/(-9). What is the biggest value in a, -4, 45, -0.1?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 19. What is v(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 17 = -5*d, 0*d = -3*d + 3*x - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 + 6*h**2 - 47*h + 208. Determine a(4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-63))\/((-1)\/(-6)*-2) - 905\/15.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39*(-20)\/15 + (-3)\/1. Let m = 8344 + -33597\/4. Let d = m - v. Do d and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.545 and -485.\nAnswer: -485.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170233 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: Solve -20*s = -57*s - 123 + 705 + 1490 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 24*w - 13. Let a(d) = -15*d - 21. Let t be a(-4). Suppose 3*p + 3*f = t, -2*p = -6*p + 5*f + 43. What are the prime factors of i(p)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11948087 (base 10) to base 14\nAnswer: -183038b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 31*y**2 - 49*y + 266. Calculate p(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*((5*x - 2*x - 4*x)*(-1671 + 837 + 833 + 2*x) + 26*x**2 + 29*x**2 - 16*x**2)*(2*x - x + x).\nAnswer: -148*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(50)\/(sqrt(5)*-3) - sqrt(10)))\/(sqrt(288) + (sqrt(288) - sqrt(288)*-4) - sqrt(2)).\nAnswer: 7*sqrt(5)\/213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5*(1 + sqrt(3)) + sqrt(3) - -5*-1*sqrt(3)) + -5*sqrt(9)\/sqrt(3)*-1))**2.\nAnswer: 60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9115 and 397414?\nAnswer: 1987070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25058339*q**3 + 481198*q**2 + 24*q?\nAnswer: 150350034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/27, -18027, -1, 1, 0.5 in descending order.\nAnswer: 1, 0.5, 2\/27, -1, -3, -18027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-25)\/(-6)))\/((-10)\/((-1500)\/(-135)))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddyd when four letters picked without replacement from {c: 1, y: 11, d: 8}?\nAnswer: 154\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(96))\/sqrt(3))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:53 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1161\/7 + 166. Factor -2\/7*y**4 + 0*y + 1\/7*y**5 + 0*y**2 + 0 + h*y**3.\nAnswer: y**3*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4828719*q**6 - 15*q**3 - 202453731*q**2 + 2*q wrt q.\nAnswer: 579446280*q**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-348)\/(-14))\/((-21)\/(-8967)). Suppose -k + 4036 = -23*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**9\/7560 - x**5\/40 - x**4\/12 + 3*x. Let t(s) be the third derivative of b(s). Find the first derivative of t(y) wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((1 - 39)\/(-18 - -19))\/(1\/(-72)) is divided by 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**4 + 156*l**3 - 855*l**2 + 1254*l - 552 = 0.\nAnswer: 1, 4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 39 = -31. Let v(r) = -2*r**3 + r - 1. Let h(n) = -5*n**3 + 95*n**2 + 115*n + 15. Let q(o) = x*v(o) + h(o). Suppose q(k) = 0. Calculate k.\nAnswer: -5, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*c - 75339, -5*j - 22*c = -17*c - 188470. What is the ten thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-301)\/(-42))*32\/(-112).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107849\/16 - -6735. Find the common denominator of 39\/16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5203*u = 5201*u - 5*n - 57, -2*u = -5*n - 73 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2194425.\nAnswer: 3, 5, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*m + 7*m - 193402915 = 134891010. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(701\/(-100) - ((-3)\/(-33))\/(110\/(-8470))).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 79. What is the remainder when c is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -779572*y**5 + 141*y**3 + 1631*y**2 - 1594*y + 16 wrt y.\nAnswer: -46774320*y**2 + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2655 and 28143.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + 21. Let q = -38 + 55. Which is greater: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*n**3*r - 200397*n**3 + 3*n**2*r + 3*n**2 + 2*n*r + 816*n - 28*r - 1 wrt n.\nAnswer: 42*r - 1202382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 45 + 60. Let c be 3\/(-4) + r\/20. Let h be (-23 + 20)\/(c + 0). Let o(k) = k**2 + 8*k + 4. Calculate o(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7450\/(-1494) - 1 - 86\/129*-9. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 7*p + 10. Let b be j(-8). Suppose 2*w - 8 = -b*w. Suppose 0 = f - 4*c + w, -5*f = c - 8 - 3. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -3. Let a(l) = 8*l - 26. Let d(i) = 9*i - 26. Let c(y) = 3*a(y) - 2*d(y). Let t be c(m). Solve -u = 3*f - 2, -4*f - u + t*u = 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3168*w - 3182. Determine p(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -373697 divided by -1\nAnswer: 373697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-12) + 3\/(-12). Factor 8*d**2 + 14*d + x - 8*d + 12*d + 4.\nAnswer: 2*(d + 2)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -26*g + 21*g + 27, -5*m = -4*g - 48. Let h(p) = -p + 3. Let u be h(-2). Let i = u + -2. Solve 3*o - m = 0, -o + i*o = -w + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -46291?\nAnswer: 46293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/18 and -169\/12276.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/22 + (-1)\/(-2). Suppose -4 - o = -3*m. Find the third derivative of -2*a**5 + 14*a**2 - 2*a**5 + 8*a**5 - 5*a**m wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 10. Let s be (-1)\/p - (-88)\/24. Calculate the highest common factor of 20 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663*z + 1705 = -652*z. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5)*d)**(-35) assuming d is positive.\nAnswer: d**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4031*w + 2 - 2695*w - 2403*w)*(0*w - w + 0*w).\nAnswer: 9129*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1675 - 927. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10130132043 + 1?\nAnswer: 10130132044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*g + 521, 2*y = -2*g + y + 525. Let q = g + -263. Which is smaller: q or -351?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 9 - 5)*(-3*w + 5*w - 3*w)*(5 - 1 - 2 + (2 - 1 + 0)*(-2 + 1 - 1) + 0 + 1 - 4) as b + q*w and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -699*r**4 - 927*r?\nAnswer: -8388*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1 + 5. Suppose 39 = 5*y - b. Suppose -7*s = -4*s - 4*i - y, 0 = -3*s + 5*i + 9. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/(26\/(-416)). Suppose 0 = h - 30 + p. What is the highest common factor of h and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = -5. Let a(d) = d**3 + d**3 + 12*d**2 - 4 + 7*d**2 - 3*d**l. Let w be a(13). What is w rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**5*t)\/t*t**(1\/10))\/(t\/t**(-3\/7)*t\/((t\/(t\/(t*t\/(t*t**(-7)*t))))\/t)))**(14\/9) assuming t is positive.\nAnswer: t**(607\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-3)\/3*(-1)\/14.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a - 8 = 0. Suppose -3*l = -v - 63, -l = -3*v - 10 - 19. Suppose a*x - l = -6. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41\/91 - 4\/13. Let k = 2.76 - 2.76. Let z = -1\/102 + 71\/306. What is the closest to k in n, z, 2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75262, 75068, 74874, 74680, 74486, 74292?\n\"Answer: -194*m + 75456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/15 - 4802\/15*t**2 + 392\/15*t = 0. Calculate t.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-10) + 6\/15. Suppose s*d - 41 = -5*i, 0 = -0*d + 5*d - 5*i + 5. Suppose -20 = d*r, -3*r = 5*v + 7 - 2. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - 5 - (12 + (73 - 54)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -559\/88 + 74\/11. Let k = -0.03 - 9.87. Let w = k - -10. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*x + 94 - 84 = 0, -4*x + 22 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 8\/(-12)*387\/(-2). Let m = a - -131. Which is bigger: m or 0.01?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 1072*z**2 - 2150*z + 1076.\nAnswer: 2*(z - 1)**2*(z + 538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k - 40 = -56 + 180 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + s + 925 = 2*s, 2*x - 2*s = 606. Suppose -2*i + 3*i = x. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -11, -2 in increasing order.\nAnswer: -11, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 2:08 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(-1\/3)*b)\/b))**(12\/17)\/(b**(-2)*((b**(-7)*b)\/b*b*b)\/b) assuming b is positive.\nAnswer: b**(132\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 289085 and 13425.\nAnswer: 4336275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 442 and 13?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 32. Let n(r) = -r**3 + 2*r**2 + r - 1. Let k be n(y). Let u = 1 + 2. Calculate the highest common factor of u and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 96*v + 1411. Give l(-109).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.061 + -0.229. Let b = w - 0.71. What is the nearest to b in 0, 2\/21, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (96\/(-4))\/(9\/(-6)). Suppose -6*j - s = -22. Let i be 2\/(-4) + 1\/(-2). Put j, -3, i in decreasing order.\nAnswer: j, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Suppose -11 = -3*m + 4. Which is the second biggest value? (a) m (b) v (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1164*f - 3234 = 21210 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363133170 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105910 and 7735?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*p**2 - 48*p + 92*p - 44*p in the form h + v*p**2 + x*p and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -640 (c) -3 (d) 4 (e) -6 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1646 divide 612792632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.25822344 + -47291.44896344. Let c = y - -47285. Let o = c + -0.81. What is o rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -f - c, -5*c + 15 = 0. Let v = 220 + -212. Calculate the lowest common multiple of f and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2510*d**2 + 2424*d**2 + 86*d**2 - 10*d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 399, 593, 783, 969, 1151, 1329?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -494\/17*n - 2\/17*n**3 + 1014\/17 + 58\/17*n**2.\nAnswer: -2*(n - 13)**2*(n - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5243421 (base 6) in base 12?\nAnswer: -103571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*(-12)\/1. Suppose -c*u + 2*u + 24 = 0. Let v = u + -5. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-1*3)\/((-1*sqrt(3872))\/sqrt(4)).\nAnswer: 3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512, -1026, -1548, -2078, -2616?\nAnswer: -3162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -46561.8 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-10)*(-10)\/30?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {k: 8, i: 1, g: 2, c: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 4*c - 11. What are the prime factors of i(10)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u. Let f(z) = -499*z**2. Give f(r(w)).\nAnswer: -60379*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-18 - -3) + (33 - 44) + 24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:14 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a - -44c?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10529, 10534, 10541, 10550, 10561?\nAnswer: 10574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 3 + (9 - 6) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2567.8334 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -64945.\nAnswer: -63\/64945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15760?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(50) + (1 + sqrt(50) + sqrt(50))*4))**2 - ((sqrt(108)\/sqrt(6) + sqrt(32)*2)*2)**2)*6.\nAnswer: 77760*sqrt(2) + 872448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 42537*f**2 - 510768*f - 1532628.\nAnswer: 3*(f - 14191)*(f + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + x + 0*x)*(0*x - x + 0*x) + 0*x**2 + x**2 + 3*x + 0*x**2 + (0 - 3 + 1)*(68*x**2 - 34*x**2 - 8*x**2) to the form r*x**2 + o + i*x and give r.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62256 + 107809. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.27, -2\/411?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40886.96 millilitres to litres.\nAnswer: 40.88696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.14, 2\/23, -79?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 14 = -0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w - 9. Let c be z(-7). Is c equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20221 - 20120?\nAnswer: -111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6068700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 34 = 5*x - 7, 5*g - 2*x - 45 = 0. Calculate the lowest common multiple of g and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*f*s**4 - 23*f*s**3 - f*s + 12*f - 7*s wrt s.\nAnswer: 156*f*s**2 - 138*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:32 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1533651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18284 or 18283?\nAnswer: 18284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098 <= 20496\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h + 12*h - 26*h**2.\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + (sqrt(5) - (sqrt(500) - sqrt(500)*1))) + -2.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 32 - 46 = 5*g, -4*z - 27*g = 62 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13, 4, 1, -14, 16 in increasing order.\nAnswer: -14, -2, 1, 4, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/5 and (12\/7)\/(102\/(-42)).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - (5 - 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 64. Let b = y - -40. Put 2, b, 1, -1 in decreasing order.\nAnswer: 2, 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -937 + 958. What is the closest to 0.2 in -2\/9, q, -3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3*(3 + 30*(-10)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrscpsrnxrprc. What is prob of picking 1 x, 2 s, and 1 n?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 z when four letters picked without replacement from {z: 1, d: 3, e: 5, s: 3}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v - 185 + 14690. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -12*u + 22. What is l(8)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -0.234878.\nAnswer: -22.765122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 10. What is o(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1239)\/(-236)*(-128)\/48?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5764 - 3046. List the prime factors of k.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4796.\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 24941 = 76751. What is the remainder when c is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48a2 + -a?\nAnswer: 4894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25526 - 25525.7. Let y = 2.03 - 0.03. What is the closest to j in -1, -4, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:17 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 7*k**2 - 8*k - 1. Let j(l) = 4*l**3 - 27*l**2 + 33*l + 7. Let m(r) = 9*h(r) + 2*j(r). What is m(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 99132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 - 20*i**2 + 10*i + 6. Let d be b(5). Does 46 divide (d\/2)\/((-10)\/(840\/7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28033 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4682 - 4529. What is the highest common factor of 36 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 108122405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5162662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 604250.\nAnswer: 604249.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243 + -171. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 321\/(-9) - 4\/(-6). Let a be (-14)\/w - (-176)\/10. Suppose -2*r - u = 0, 6*r - a = 3*r + 3*u. Solve -4*o + 4 = -2*h, -2*o - r*h = -7*o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*b + 2*w, 68*b + 8*w = 73*b - 47 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26645*j + 206144*j + 246258*j + 148883*j - 27604*j.\nAnswer: 547036*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 723\/22616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0931 - 0.1931. Is i at least 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 6*j**2 - 2*j + 18. Determine m(-5).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47452.87044 rounded to the nearest one hundred?\nAnswer: 47500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -356324, -712633, -1068906, -1425125, -1781272, -2137329, -2493278, -2849101?\n\"Answer: 3*a**3 - 356330*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860*y + 913*y - 1007 = 0 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/3)\/(-8) + 13\/3. Suppose 3*y + 4 = 5*y. Solve -5*a = -w*p - 21, y*p = p + 2*a - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 10.85. Let d = 0.85 - a. Let u = 5.1099 - 0.1099. What is the biggest value in d, u, -1\/8, -11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 7 = -7*l, 2789*k - 7 = 2792*k - 2*l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 49, 57, 67, 79?\n\"Answer: j**2 + 3*j + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1305)\/(-90))\/(((-5)\/2)\/(-5)). Calculate the highest common factor of q and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1879068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-3)\/1)\/6. Let r = 3 - a. Differentiate 2*f**r + f**2 + 0*f**2 + 1 - 2 with respect to f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -44*c + 10. Let w be a(4). Let z = 377 + w. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from qwuwpxpupqup?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22.3122735ns?\nAnswer: 0.00000000000025824390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109935229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3840*i + 3874*i = -136 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1\/13)*t\/(t\/(t*t**(2\/9)*t*t*t))*((t*t**(-3\/4)*t)\/t*t)\/((t*t**(-1\/10)\/t)\/t) assuming t is positive.\nAnswer: t**(17899\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/4 - 5*w**3\/3 + w**2 + 5*w - 3. Let b be x(4). Let g be 0\/(0 + b - -1). Put g, -3, 2 in decreasing order.\nAnswer: 2, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 408 + -408. Solve -3*s - 4*q + 4 = 0, 0 = -z*s - 3*s + q - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94696921 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412 (base 6) to base 2.\nAnswer: 10011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dydddydddyyyy. Give prob of picking 4 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.356714 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4 = -5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(12 + -12). Suppose -131*q = -135*q. Suppose q*l + l - 973 = y. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fny when three letters picked without replacement from zfyfrnzazzfzfnnz?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 46. Let g be 110\/l + (-4)\/(-6). Calculate the highest common divisor of g and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 36. What is x(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {l: 1, d: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 25*v**2 - 8549*v + 66793. Calculate t(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -34*o**3\/3 + o**2\/2 + 3*o + 13. Let f(d) = d. Give p(f(z)).\nAnswer: -68*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 1 m when three letters picked without replacement from bqbbfbbmbblqmbbqb?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108, -320, -670, -1164, -1808?\n\"Answer: -g**3 - 63*g**2 - 16*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111483, -445877, -1003161, -1783305, -2786279, -4012053, -5460597, -7131881?\nAnswer: -9025875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*p**2 - 193*p**2 + 557*p**2 - 153*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 3, -51\/4, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4400873 + 4396870.9855. Let c = q + 3992. Let r = c - -10. Round r to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 1:34 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 18*y**2 + 41*y - 17. Let g be u(20). Suppose 19 - 124 = -5*r. Is 13 a factor of 4*(r - (-2 + g))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) -0.1 (c) 0.3 (d) -5\/3 (e) 0.4 (f) 219 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 1, -21 in increasing order.\nAnswer: -21, 0.13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12657381 a multiple of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 25555*w**3 + 4004*w**3.\nAnswer: -21551*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -687, -3697, -8795, -15981, -25255?\nAnswer: -36617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 81\/(-15) + (-2)\/(-5). Let t = a - -8. Solve t*f = -2*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 23?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 1. Let y(w) = 6*w**2 + 10 - 7*w - 41*w**2 + 34*w**2. Let q(k) = 3*c(k) + y(k). What is q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 469 + -227. Let n = 1098 + -2. Suppose -6*q + n = -d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 21242?\nAnswer: -21241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from bbbffbbbbbbfbfbf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - u - 13, 11*d = 9*d - u - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 104, 105, 116, 143, 192?\n\"Answer: z**3 - z**2 - 3*z + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:21 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/120 + 11*h**5\/60 + h**4\/2 + 5*h**3\/3 - 36*h**2. What is t(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iippppiipiiippipipi. Give prob of picking 3 i.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4\/4 - 5*i**3\/3 - 9*i**2\/2 - 4*i - 3. Let h be l(7). Solve 2*b - 4*k - 13 + h = 0, 2*k = -5*b - 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + (-45)\/6)*2\/3. What is the common denominator of -1\/5 and 1\/o - (-10808)\/1760?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(176) + sqrt(99) + 3)**2.\nAnswer: 42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 2*y + 1. Let v = 0 - 2. List the prime factors of t(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2 + 68*p - 23. Let k be y(-14). Solve -5*m + s + 5 = -m, 0 = -5*m - k*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 2*y + 3*y + (0 - 2 + 4)*(1 + 2*y - 1) - 5*y + y + 5*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 3*l. Let m be r(-4). Solve 0 = m*d + 9 + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, 19, 104, 263, 520, 899, 1424, 2119?\n\"Answer: 4*q**3 + q**2 + 4*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1)*14\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 3*f + 1653 = 10*x, -2*x = -9*f - 1157. What is the remainder when x is divided by 272?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.47030991 and 493.4.\nAnswer: 491.92969009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnrrrmrrnrmmrrr. What is prob of picking 1 m and 1 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.13 and -1.\nAnswer: 1.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*q - 37, -5*r - 76 = -2*r + 2*q. Let u = -28 - r. Let j be 0*(1 - -2)\/u. Solve j = 2*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = x + 4*o, 4*x - 1374*o = -1369*o - 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3933.512 - 16165?\nAnswer: -20098.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 w, and 1 j when three letters picked without replacement from ikjwkwk.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*k**3 - 15048*k**2 - 263045.\nAnswer: 12*k**2 - 30096*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {b: 1, x: 1, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -41000?\nAnswer: -40430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 2\/3 (c) 0.02 (d) -27156.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3)\/27 - -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78735*h + 78728*h + 5*b = -66, 5*h - 42 = b for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b*g**2 + 2*b*g*v + b*v + 3591*b + 1515*g**2*v + 4*g**2 + 99*v with respect to b.\nAnswer: -8*g**2 + 2*g*v + v + 3591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 10:18 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15748*z + 2582684. Determine y(-164).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 18*g - 2. Suppose -161 = -9*t + g*t. Suppose 13 - t = -2*k. Solve -3*v = 4*s - 10, -k*s - 4*v = 6 - 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 27*g**2 + 23. Let y be (-1 + 7)\/((-1)\/(3\/3)). Let x(u) = -26*u**2 - 23. Let i(r) = y*x(r) - 5*d(r). Find the first derivative of i(w) wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(1\/2)*r))**44\/((r**3\/r*r)\/(r**19*r)) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -404 + 4862?\nAnswer: 4458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000211 (base 3) in base 9?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 140695042.6399 and 2.7.\nAnswer: 140695045.3399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*k - 77*k - 6*k**2 to the form y*k + z*k**2 + q and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 v, and 1 b when four letters picked without replacement from vkkvvkkvvkkbvvkvvv?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**4\/24 + w**3\/2 - 5*w**2 - 41*w. Let n(d) be the first derivative of b(d). Let q = -32 + 27. Give n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -31. Let a = v - 5. Let o = -22.00022 + a. What is o rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 3*k + 6*k + (-3 + 2*k - k + 2)*(8 + 8 + 3) in the form b + m*k and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**2 + 2*b - 6. Let o(i) = -i**2 + i - 1. Give 3*o(k) - s(k).\nAnswer: 4*k**2 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/(-21) + (-4)\/14. Let w = 8 - q. Let x = -9\/2 + w. Put x, 1, 5 in decreasing order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 417 + -140. Let o = 565 - q. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-3 - -10)) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/((-176)\/(-56)) - ((-202 - 1) + 3). Is 203 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -5, 1 in increasing order.\nAnswer: -45, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31771*z**2 - 4369*z + 1?\nAnswer: 63542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*n, 0 = 4*b + n - 45. Let h = 49 + -47. What is the remainder when -3*(h + 1)\/(18\/(-40)) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 9*d = -36. Solve 0 = d*v + t, -4*v - 3 = -t + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 146 = 5*k, -42 = -2*k + 3*k + 4*a. Let s(d) = -2*d**2 + 1. Let n(r) = -8*r**2 + 3 + 2*r**2 + 1. Determine k*s(i) + 3*n(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/19183 or 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186595?\nAnswer: 5, 67, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 31 + c - 16)*(-c + 0*c + 0*c).\nAnswer: -c**2 - 53*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32415 - 32?\nAnswer: -32451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s**3 - 114*s**3 - 114*s**3.\nAnswer: -174*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) -7 (c) -277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 46826?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2325 - 1684 = -2*s, 3997 = 2*s + 3*o. List the prime factors of s.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 22*g - 2*g**3 + 104*g**2 - 16*g - 106*g**2 as q*g**2 + x*g + l + t*g**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9867641, 9867645, 9867653, 9867665, 9867681?\n\"Answer: 2*o**2 - 2*o + 9867641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 310*w**2 + 25*w - 15. Let m be s(17). What is m rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1534561302.\nAnswer: 2, 3, 255760217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -25 - (12 - (2 - -29)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03316839 to three dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004 - 545 = 17*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (213*h**2 + 128359*h + 2 - 128362*h + 2)*(1 - 5 + 2).\nAnswer: -426*h**2 + 6*h - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/11, 1\/8, 4, -50.\nAnswer: -50, -3, 1\/8, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11007282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 94?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 4*y - 4. Suppose 0 = -g - 1 - 5. Let n be t(g). Suppose 2*r - 64 = -n. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2075211\/23853)\/(2\/((-2)\/(-3)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125579850 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.5 (c) -19 (d) -1\/6 (e) -0.1 (f) -0.0116\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1900\/(-1225) - (1020\/119 - 10)?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9831.9 + 9832. Which is the fourth smallest value? (a) -61 (b) v (c) 0.3 (d) 4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 55 - 5 = -14*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2320 (base 5) to base 12\nAnswer: -23b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.1906.\nAnswer: 0.0953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -1079, -1599?\nAnswer: -2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 7, z: 2}. What is prob of sequence tttm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/8 + 777*y**3\/2 + 2*y**2 - 6216*y = 0?\nAnswer: -4, 0, 4, 3108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6017.3374 + 6018. Let w = -0.67 + g. What is w rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47.43 - -46.93. Let r = -3.2 + -0.8. Let x = 54.6 + -55. What is the second smallest value in 0.2, v, x, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23301 - 1211022?\nAnswer: -1300323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 39\/41 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 19. Let f(t) = -t**2 + 3*t + 2. Let h be f(4). Calculate the remainder when 53 is divided by q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47011 and 70960.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*o - o = -45, 3*v + 43 = 5*o. Let c(p) = -p. Let i(k) = -k**2 - 9*k + 3. Let w(h) = -4*c(h) + i(h). What is w(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 8*x)*((-44 + 0 - 16)*(3*x**4 - 4*x**4 + 4*x**4) + x**4 + 6*x**3 - 6*x**3).\nAnswer: 1253*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y. Let g(r) = -6*r. Suppose -23 = 5*x + 12. Let q(m) = x*l(m) + 6*g(m). Let d(p) = -4*p**2. Give d(q(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*z + 70*z = 600. Let t = 102 + -58. Let p = t + -39. What is the greatest common divisor of z and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6016604.45 to the nearest one hundred.\nAnswer: -6016600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 5*y + 20. Let p = 8 - y. What are the prime factors of (p\/4)\/(5\/80)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220032*v**3 + v**2 + 490358 wrt v?\nAnswer: 1320192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -fe?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.778038 to one decimal place.\nAnswer: -55.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((-136)\/32 + 1\/4). Let z(w) = 4*w - 13. Let g be z(-3). Let b be -3*3*g\/45. Sort b, n, -15 in ascending order.\nAnswer: -15, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000350074 rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + d**2 + 1751*d**3 + 0*d**2 + 737*d**3.\nAnswer: 2488*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -36271583401*h**2\/4 - 1714059*h - 81 = 0.\nAnswer: -18\/190451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177\/2 - 353\/4. Determine l, given that d*l**2 + 0*l - 3\/4*l**3 + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m*m\/m**(-1\/22)))\/m)*m**(3\/14)*m*m)\/(m\/m**(5\/6)*m\/(m*m**(1\/3))))**(4\/17) assuming m is positive.\nAnswer: m**(5014\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7)*n\/(n\/(n**(-8)*n)*n))\/((n*n**(-2\/11))\/(n\/n**(-7))) assuming n is positive.\nAnswer: n**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 57*f**2 + f. Determine z(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 8:40 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 24*t**2 + 37*t - 47. Calculate n(-22).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -82*k - 7. Is m(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*o + 11 = 0, -5*o - 83 = -108 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Let h be (-5)\/(44\/14 + -3). Let t = -106\/3 - h. Which is bigger: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 179 = -3919. What is the smallest common multiple of 374 and v?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let v(b) = 16*b**2 - 6*b - 15. Let g(l) = -3*l**2 + l + 3. Let s(i) = 11*g(i) + 2*v(i). Let j be s(-3). Do q and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1197 and 0.1.\nAnswer: -119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*v + 3979 = 16560 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - 4.6. Let t be 2\/8 - 10\/16. Let f = -2\/21 - 16\/273. Which is the second smallest value? (a) z (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155714 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -4. Suppose 0 = -u*i - 2*i + 168. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 400050580 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 - 4*o**3 + 4*o**3 + (-o**3 - 1 + 1)*(-2*o + 0*o + 3*o) + 3*o**2 + 3*o**4 - 3*o**2)*(2*o - 4*o + 0*o).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:06 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -51*f + 823. Let h be r(16). Let l(a) = -a**2 + 5*a + 3. What is l(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.214139 rounded to one dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16970 is divided by 455.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(0\/(-6) + (-4)\/6). Let i(l) be the first derivative of 5*l**4\/4 + 7*l**3\/3 - 3*l - 1. Let w(o) = 2*o**3 + 3*o**2 - 1. Give a*i(f) - 7*w(f).\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 13)*(-x**2 + 3*x**2 + x**2).\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 157551 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = -3*i. Suppose -f + 2*m - 4 = 0, i*f + 0*m = m + 7. Let r(j) = j**2 + j + 20. Calculate the least common multiple of f and r(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h - 5*l - 35, -4 = l. Is h*(6 - 1083)*(-2)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7767089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + ((-3 + sqrt(99) + sqrt(99) + 4)**2 - (sqrt(99)*-1 + 3)).\nAnswer: 15*sqrt(11) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -183\/7, -0.3, -7 in increasing order.\nAnswer: -183\/7, -7, -0.3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -33. Let x(f) = 3*f - 2. Let p be x(2). Suppose -3*s - 2 = -p*s. What is the greatest common factor of m and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 28. What are the prime factors of w(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5\/5 + 22*y**4\/5 - 34*y**3\/5 - 126*y**2\/5 - 72*y\/5 = 0.\nAnswer: -12, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*h + 26. Let u = h + 42. Let z = 31 - u. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*y + 16, -4*y + 0*g + 12 = -3*g. Suppose 2*z - 8*z + 108 = y. What is the lowest common multiple of 2 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 9 - 5. Suppose -2*l + i = -20. Suppose l - 343 = -2*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4710 divided by -6\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -241 - -236. What is the remainder when 6 - (1 + 4 + b) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11594261 and 9937938?\nAnswer: 69565566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**7\/1680 + q**6\/96 - q**5\/20 - 4*q**4 - 3*q - 8. Let j(p) be the third derivative of z(p). Factor j(k).\nAnswer: -3*(k - 4)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ff3 - 5?\nAnswer: -1ff8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 5, o: 1, c: 4, z: 4}. What is prob of picking 1 o and 1 e?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 20. Let d = t + -9. What are the prime factors of 12 + d*(2 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o - 25. Let c be (-2)\/o - (-1 - -1). Let x = 3 + -2.5. What is the nearest to c in x, -1, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 556095925 by 2022167.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 + 299. Suppose -4*b = -b - 4*k - p, -128 = -b + k. Let r be 3 + b\/(-20) + 3. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*h**2 - 28*h**2 - 6*h**2)*(1 - 3 + 4) to the form r + g*h**2 + a*h and give g.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 314033 - 3*k**2 - 2184*k + 83455 - 4*k**2 + 10*k**2.\nAnswer: 3*(k - 364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2400507*t**3 - 29364*t**2 + 9788*t. Let x(j) = 2452*j**3 + 30*j**2 - 10*j. Determine 4894*x(w) + 5*y(w).\nAnswer: -2447*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -9, 6\/5, 4.\nAnswer: -9, -0.2, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -50052*w**2. Let i(t) = -6*t. What is y(i(j))?\nAnswer: -1801872*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l + 18 = 0. Suppose t = -t - l. Which is the biggest value? (a) 4\/5 (b) t (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 5*z + 3*z - 2*z + 0*z + 0*z + (2*z - 2*z + z)*(1 + 1 - 3).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55336160 and 90222?\nAnswer: 166008480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485783 is divided by 1589.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 15) in base 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-51)\/480*19 + 2). Suppose -l + 5*l = -20, 4*l + h = 2*f. What is the highest common factor of 105 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50376*u + 50376*u - 2989*u**2.\nAnswer: -2989*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12*r**2 - 7*r - 7. Let q(k) = -23*k**2 - 14*k - 12. Give -7*c(h) + 4*q(h).\nAnswer: -8*h**2 - 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24 + 1.11. Let w = 0.26 + i. Round w to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001555179 rounded to six dps?\nAnswer: 0.001555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53 - -60 - 52) + -6.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 3:30 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 9.97. Is -1 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -30 + 14 + -46 + -1 + 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i. Let z be q(-1). Suppose 5*k - 3 = -p + 11, -z*p = -3*k - 54. What is the highest common factor of 60 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(16\/48).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 178817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 13 + -6 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 766 and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*w + 2*w. Let z(m) = 5*m**2. Let y be z(w). Let u = -0.08 + 0.08. What is the closest to u in 0.4, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -997 smaller than -849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -19*o**8\/42 - o**5\/60 + 7*o**4\/8 + 322*o**2. What is the second derivative of j(t) wrt t?\nAnswer: -3040*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 1\/180*n**6 - 1\/30*n**5 + 2*n**2 + 0*n + 0 + 0*n**4 + 4\/9*n**3. Factor d(p).\nAnswer: 2*(p - 2)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118.000001248 + 118. Round t to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-4*sqrt(22) + sqrt(22))*3)\/(-4*sqrt(275)*-1).\nAnswer: 39*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -336 - -336. Let z(b) be the second derivative of -9*b + 0*b**3 + 0 + 2\/3*b**4 + t*b**2. Let v(k) = 2*k**2. Determine v(z(n)).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 3. Let p be m(3). Suppose -44 = -2*g - p*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.8 - 31. Let f = v - -1.2. Let b = f - -10. Is b at least -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 298333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 12*w**2 - 1675*w - 21849. Give p(-13).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1238020 divided by -1673\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-7)\/(-3) - 2). Suppose 4*v = q*v. Suppose v = 3*g - 2*g - 49. Calculate the remainder when g is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 10) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13889*f - 209. Let w(c) = -267*c + 4. Determine -4*n(v) - 209*w(v).\nAnswer: 247*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4b3a (base 12) to base 4\nAnswer: 2011132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2 - v - 1. Let i be o(-1). Let d(n) = -2*n**3 - n**2 - 15. Let u = -3007 + 3002. Let h(b) = -3*b**3 - b**2 - 22. Calculate i*d(x) + u*h(x).\nAnswer: x**3 - 2*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 23. Which is the closest to s? (a) 1\/8 (b) 0.4 (c) 2 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 801 + -187. Suppose 2*n - o - 206 = -3*y, 0 = -4*n + y + 1654. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighty-nine halves of a meter?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 279957162*r**4 + 2*r + 594428289?\nAnswer: 3359485944*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + w. Let d be a(-1). Let v = d + -2. Solve -m + 4*y - 1 = v, 5*m - y - 18 = -4*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(84) - sqrt(84))*-2 + sqrt(84) + sqrt(84))\/(1*sqrt(972) - sqrt(12)))**2 - ((4*sqrt(315)*1)\/((sqrt(180)\/sqrt(3))\/sqrt(12)))**2.\nAnswer: -15953\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60308167 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 21 = 3*w, 3*w + 7 = -2. Suppose -10*v + y*v = 12. Is v at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -251 - -402. Suppose -q = 3, -4*g - 2*q + 15 = -m. What is the remainder when g is divided by 213\/15 + (-12)\/(-15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15294 = 13*z + 15359 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + o**3 + 6*o**2 - 19*o**2 + 13*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/4 + (199 - 31)\/(-21)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -513 - -492. Let x = o - -27. Which is bigger: x or -30?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632244 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + (sqrt(396) + (sqrt(396)*-2*-5 - sqrt(396)))*-5)**2 + 2 + -2.\nAnswer: 989998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-69)\/(-414)*(-6)\/(-11). Is 8 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 + 6*z + 5. Let n(m) = 3*m**2 + 9*m + 5. Let q(r) = -3*n(r) + 4*s(r). Determine q(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 193.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.13 and -9.85680986571.\nAnswer: -9.98680986571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*x + 29*x + 49*x + 17 + 3 as z + b*x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 3. Let h(s) = 3*s + 2. Suppose 13 = -f + 3*w, -4*f - 14 + 2 = -4*w. Let d(k) = 3*k + 1. Let v(t) = f*d(t) - 3*h(t). Calculate 6*u(y) - 5*v(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 85, 345, 781, 1393, 2181, 3145?\n\"Answer: 88*h**2 - 4*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x + 2*p, 4*p - 17 + 6 = -3*x. Sort 8, -5, 4, x in decreasing order.\nAnswer: 8, 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -13*t**2\/2 + 35*t + 114. Let o be d(2). Solve 3*r + o = -6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 5*p - 33 + 2, 5*x - p - 5 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11129*s - 234033. Give i(21).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146034 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 37. Let m(r) = 3*r - 4. Let n be m(5). Let u = 3 + 0. Solve -u*z + 2*j = j + n, 0 = -3*z + s*j - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 75. Which is the closest to -2\/3? (a) 3\/8 (b) -4.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 - 94 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 41*a - 146. Let s be f(-4). Solve -2*z + s = 3*m, -3*m + z = 2*z - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/5)\/((-2)\/(-30)). Suppose z = o - 5*j, -7*o = -3*o + 2*j + 14. Which is the closest to -2? (a) o (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/220 and 21\/10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 112*k**2 - 275*k - 8072. Calculate a(115).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 25. Let u(z) = 4*z - 49. What is -6*u(c) - 11*v(c)?\nAnswer: -2*c + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 4*d**3 + 2 + 0*d - 3\/2*d**4 + 1\/5*d**5 - 4*d**2. Let l(v) = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1606 * 49.\nAnswer: 78694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(3\/2) + 3. Suppose 0*q - q - 403 = -i*f, 5*f + 4*q = 388. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**3*v**2 + r**3*v - 433951*r**3 - r**2*v**2 + r**2*v + 3344*r*v**2 - 3*r*v wrt r?\nAnswer: -6*v**2 + 6*v - 2603706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7014 - -7014. Which is the third biggest value? (a) 2\/9 (b) p (c) 0.01 (d) -3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -6) + (0 - -14) + 43 + (-28 - -54).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-4))\/(3\/186) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 - -7?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l + 3\/40*l**6 - 1\/2*l**3 + 0 + 5\/8*l**4 + 11*l**2 - 7\/20*l**5. Suppose z(p) = 0. What is p?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o - 30 = 0. Let l = o - -21. Let c = l + -3. Which is bigger: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -328.6 + 327.6. Which is the closest to x? (a) -2 (b) 30\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1279, 1341, 1405, 1471, 1539, 1609?\nAnswer: 1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*-2*sqrt(200)*-1 - (sqrt(350)*-1)\/((3*sqrt(35))\/sqrt(5)).\nAnswer: -295*sqrt(2)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*y + 946 - 476 - 470 to the form a*y + v and give a.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 499 in 0, 152, 22?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 39. Let b(m) be the third derivative of -m**5\/60 + m**3\/6 + m**2. Let s be b(-2). Put s, 3, n in decreasing order.\nAnswer: 3, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1555323 (base 6) to base 10.\nAnswer: -93219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7757?\nAnswer: 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -17*x**2. Let q(z) be the second derivative of -5*z**3\/6 + 72*z. What is q(h(n))?\nAnswer: 85*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3564 or 3563?\nAnswer: 3563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29499274?\nAnswer: 2, 7, 301013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 2146851?\nAnswer: 4293702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1. Let i(g) = 10*g - 15. Let n(f) = i(f) + 15*k(f). Does 35 divide n(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**2 + 2*z. Calculate the remainder when 15 is divided by x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 146 + -2 + 4\/(4 + -5). Let d be (-45)\/v + 3\/4. What is the closest to 7 in d, -0.1, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9793655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1404 (base 13) to base 14.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Suppose 3*m = m + 4. Suppose -2*a + 219 = m*a + v*k, 2*a - k - 107 = 0. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -275755 to the nearest one thousand.\nAnswer: -276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/3)\/((2\/18)\/(110\/(-660))). Find u such that 6*u**3 + 1\/2*u**2 - 6*u + 2 - p*u**4 = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25940000 to the nearest one hundred thousand.\nAnswer: -25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3859 - -0.3959. Let m = 0.03 + 1.97. Which is the biggest value? (a) -0.1 (b) l (c) m (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p - 92. Let z be y(-12). Is (-159824)\/(-64) - (-3)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 + -2 - (10 - 8 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 times -3?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + x - 77, -4*f = -0*f - 4*x - 76. Suppose 5*w - 3*i = 24, -w = 2*w + 3*i - f. Suppose -4*l + w + 14 = 0. What is the closest to 1 in -5, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p + 4. Let h be a(-3). Let v = h - -37. Suppose 4*q - 60 = -v*m, m + 8*q - 29 = 7*q. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 2, -4, -210?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {s: 2, c: 1, p: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1abdb + -4?\nAnswer: 1abd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18249)\/(-97881)*(-4)\/22?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77691 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2*-1781.\nAnswer: -5699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*r, 3*z - z - 4*r = 6. Let l(t) = 4*t**2 + 2*t. Let s be l(z). What is the third derivative of -21*y**4 + 13*y**2 + 12*y**2 - 14*y**s wrt y?\nAnswer: -504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*(-30)\/600*((-14)\/20)\/(-7).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c**3*r + 84*c**3 + c**2*r - 359257*c*r - 97853*c wrt r?\nAnswer: 4*c**3 + c**2 - 359257*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:28 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 332 and 16?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) - 78\/(-24). Suppose 4*c + 5*y = -1 + 7, 0 = -c - 2*y. Suppose 4*s = c*w + 28 - 116, 25 = -5*s. Solve -f - w = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.3929 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1 - 5*j**2 - 3*j**2 + j - 5*j**2 + 14*j**2 + 6*j**3. Let y be b(1). What is the units digit of (0\/1 - 3) + y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 4, 38, 106, 220, 392, 634, 958?\nAnswer: 1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9430556 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292*r**6 - 7*r**4 + 6*r**3 + 25376*r**2 - 3.\nAnswer: -35040*r**3 - 168*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 2:36 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 - 155. Suppose 2*l - 418 = -4*i, -l + 217 = -i + 8. Let s = l - y. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4865, -7168, -11007, -16382?\nAnswer: -23293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 21 + 1 + 11)*(-3 - 2*k + 3) + 3 - 3 - k**2.\nAnswer: 3*k**2 + 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 16 + 13 - 11 = -3*b + 3*b, 7*r + 8*b + 93 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 10. Let t(b) = 3*b + 21. Let k(y) = 14*h(y) - 6*t(y). Let v(l) = -l + 1. Let g(z) = k(z) - 3*v(z). Let q be g(8). Solve 0 = 2*n - q*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 582.232 nanograms?\nAnswer: 0.582232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - 4.08. Let a = -65169\/4 - -16292. Put -0.29, -0.4, y, a in increasing order.\nAnswer: y, -0.4, -0.29, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 5.146292?\nAnswer: 5.146292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2664832 from -84.\nAnswer: -83.7335168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2308176 by 7124.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 8. Let f be q(3). Let k = f + -2. Solve 22 = -k*x + 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 9*r + 22. What is p(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l + 4. Let i(p) = -p - 3. Calculate c(k) + i(k).\nAnswer: -16*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -5b?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 416156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b - 1\/24*b**4 + 0 + 6*b**2 + 0*b**3. Let p(h) be the first derivative of -h**3\/3 + 2. Calculate n(p(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 29. Let q be v(-10). Let d = q + 61. Differentiate 3 - 11 + 4 + d*k - 2 with respect to k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = 4*o, -4 + 2 = 2*s + 2*o. Let c(u) = -6 - 3*u + 40*u**2 + 0*u + 2*u. Is 26 a factor of c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13012 (base 4) in base 5?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 920 + -54278\/59. Let m = 181\/118 - v. Which is the closest to 0? (a) 3 (b) m (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 12, y: 3}. What is prob of picking 2 h?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1787707, -1787705, -1787701, -1787695, -1787687, -1787677, -1787665?\nAnswer: -1787651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 93959430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 5*m + 52, -17*k + m + 11 = -18*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Let b(t) = -4*t + 1. Let w = -79 + 78. Let d be 1\/(1*(-2)\/(-4)). Let l(j) = d*y(j) + w*b(j). Differentiate l(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.0951 in 4, -12, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 3, 1335, -3.\nAnswer: -5, -3, 3, 5, 1335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 5. Let r be s(-2). Solve r*l + 10 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 238*j**3\/3 + 1263. Let x(c) = 11*c**2. Calculate t(x(o)).\nAnswer: 28798*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/h)**(-3\/13)\/(((h\/(h**(3\/11)*h)*h)\/h)\/h)**(1\/19) assuming h is positive.\nAnswer: h**(991\/5434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1376055492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -27*u**2. Let n(k) = 16*k**2 + 5*k. Let i(r) = -3*r**2 - r. Let v(c) = -5*i(c) - n(c). What is w(v(p))?\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -236*m - 203. Let q be o(-6). Let i = -25 + q. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 756619442 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171)*-2*-4 - (sqrt(171) - sqrt(171)*2*-4))*-4)\/(6*(sqrt(2916)*-2 - sqrt(2916) - sqrt(1764)*2)).\nAnswer: 2*sqrt(19)\/123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03144 + -1.03144. What is the closest to 0.6 in -35, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/18 - 1769\/87.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 76. Solve -b + 0*t = 2*t + 13, -8 = -4*b + j*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133192.89 months to centuries.\nAnswer: 110.994075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m + 4. Let i be a(0). Suppose 5*u = -i - 46. Let s(q) = q**2 + 7*q + 9. What is the units digit of s(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/30*234\/2275*21\/(-45)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*u - 132*u**2 - 1 + 8*u + 8*u + 9*u wrt u.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 20 = -5*t + 5*n, 4 = -3*t - 5*n. Let u = -3 - t. Suppose -5*d + u + 10 = 0. Solve -5*g + r = -19, -3*r = d*r - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 27. Put -4\/3, 5, o in ascending order.\nAnswer: o, -4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-9))\/(2 - 2\/3). Let f(t) = 3*t - 2. Let v(x) = -10*x + 8. Let p(l) = -9*f(l) - 2*v(l). Give p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99803 is divided by 244.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.079556*0.2.\nAnswer: 1.8159112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*w**3 - 4*w**2 - 1 + 2*w**3 + 3*w**3)*(132 + 225 + 66 - 63) to q*w + h*w**2 + k + i*w**3 and give i.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 36 = 3*r - 0*j, 3 = -j. Let d(w) = -2*w - 5. Let g be d(-5). Solve r + 8 = -g*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d - 12, -2*d = -b - 7. Find the first derivative of -2 + b - a - 4 wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n. Suppose n = f - 7 + 3. Suppose 32 = 8*p - f*p. Solve 2*q = 4*v + 22, -5*v - 2*q + 3 = p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(3\/14))*x*x)\/x**(-31\/2) assuming x is positive.\nAnswer: x**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1046, 2, -277 in descending order.\nAnswer: 1046, 3, 2, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*g**2 + 1541312*g.\nAnswer: -4*g*(5*g - 385328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:01 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o - 8. Let m be u(-3). Let s = m + 52. Calculate the lowest common multiple of s and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015142643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.192, -4.7, -2, 549, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:14 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*k + 14*k + 28*k)*(-4*k**2 + 5*k**2 + 2*k**2) + 12*k - 6*k**3 - 12*k - 3*k**3 - 3*k**3 + 5*k**3 + (-4*k**2 + k**2 + k**2)*(-3*k + 3*k + 2*k).\nAnswer: 73*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 1 - (-8900)\/(-34000)*68.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 + 18 = 0. Suppose -4*n + 30 = 2*c, c - g*c + 4 = 0. Let j(y) = -n - 2 + 9 + 55*y. Let k(x) = 2*x**2. Give k(j(t)).\nAnswer: 6050*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 363235, 7, 5 in descending order.\nAnswer: 363235, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - f + 563 = -2*f, -4*f = 2*r - 352. Suppose 22*k = 24*k - 22. Calculate the remainder when r is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161263 by -12.\nAnswer: 161263\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 + 4*m**2 + 7*m**2 - 6 + 2*m**2 + 6 - 1 + 1 - 2*m**2 + (2 - 4 + 4)*(-1 + m**2 + 1) - m**2 + 3*m**2 + 0*m**2 - m**2 + 2 - 2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*w - 131 = 39, -60 = u - 2*w. Let x = 66 + u. Suppose -496 = x*k - 16*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = l + 3*q - 6*q, -3*q = 4*l - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13433313 (base 5) to base 14.\nAnswer: 38d61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 8) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 87*d - 134. Let z(i) = -i**3 - 9*i**2 - 5*i + 30. Let a be z(-8). What is the tens digit of u(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -317*i**3 + 3*i**2 + 37*i - 5. Let q(l) = 316*l**3 - 2*l**2 - 37*l + 6. Let f(v) = -6*d(v) - 5*q(v). What is the third derivative of f(x) wrt x?\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1480?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -11*a**6\/30 - 19*a**5\/4 - 2299*a**3\/6 + 2938*a. What is the second derivative of q(m) wrt m?\nAnswer: -132*m**2 - 570*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14251032 + 1?\nAnswer: -14251031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2999467158 and 3.9.\nAnswer: 4.1999467158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -3*l**2 + l + 3. Let n(u) = -7*u + 2. Let k(d) = -4*c(d) + 3*n(d). What is the first derivative of k(m) wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220079 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1353 - 0.2753. What is the nearest to -0.1 in -1\/8, z, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -487, -970, -1453, -1936, -2419, -2902?\nAnswer: -3385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -0.2 (c) -7 (d) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 39\/5, -0.8, -3?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/317 at least 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 30 = m, 2*m - 6*m + 5*f + 106 = 0. Find the common denominator of (m\/(-56))\/((-6)\/62) and 67\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-9)*(1206\/(-4))\/3. Let c = o + -268. Solve 3*a - 6*a + 9 = c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (1 - 48)) + (-21 - (-31 + 17)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/8)\/((-12)\/960). Suppose -425 = -11*a + q. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*x + 2*h, 0 = 5*x + 58*h - 59*h - 6. Let d(y) = -y - 1. Let u(v) = -2*v - 1. What is x*u(m) - 5*d(m)?\nAnswer: 3*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*p**3\/8 + 593153*p**2\/4 - 6282708352*p + 1795047424.\nAnswer: -(p - 84736)**2*(7*p - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z - 328*z - 35516 = 43*z + 249*z for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koywkgboggbg. Give prob of sequence gg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 6)\/(6\/(-16)). Let c = 99 + k. What are the prime factors of c?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/607875 and 73\/150.\nAnswer: 1215750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*k**2 + 331.\nAnswer: -278*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 144, 0 in ascending order.\nAnswer: -5, 0, 12, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.7. Let x = -30 + 30.4. Which is the closest to p? (a) -2\/5 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -0.2, 6\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 180?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6, 5*o + 290 = o + 5*x. Let t be (-7)\/o*12*(-280)\/(-12). What is the greatest common divisor of 308 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -648*q**2 - 396*q**2 + 222*q**2 as n*q**2 + a*q + b and give n.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17*(1 - (0 - 0)). Let x = s + -19. Put x, 3, -4 in descending order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824406.\nAnswer: 2, 3, 11, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*b - 1150 = 0, -23*i + b = -18*i - 1165. Calculate the least common multiple of 351 and i.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 5*o**2 + 5*o + 5. Let g(j) = -9*j**3 - 21*j**2 - 21*j - 21. Let l(q) = -q**2 - 284*q - 1416. Let w be l(-5). Calculate w*r(m) - 5*g(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f + 2. Let g(k) = 5*k + 1. Let n(h) = -7*g(h) + 3*p(h). Let v be n(-1). Solve 0*y + 2\/3*y**5 - 2\/3*y**3 + 2\/3*y**2 - 2\/3*y**v + 0 = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25737 (base 8) to base 2\nAnswer: -10101111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -4*h + 7 + 11, 4*k + 51 - 59 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 + 24*w**2 + 57*w + 30 = 0. What is w?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 132019 times -0.354\nAnswer: -46734.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*d - 78, -d = d + 3*w - 45. Let o = 2837 - 2814. Calculate the remainder when o is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3127343l in millilitres?\nAnswer: 312.7343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 1. Sort -2, b, 0.3.\nAnswer: b, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -275773*v. Let x(l) = 2*l + 67. Calculate o(x(m)).\nAnswer: -551546*m - 18476791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4\/28*310 - 14\/49 and 648.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -129898, -259974, -390050, -520126, -650202, -780278?\n\"Answer: -130076*k + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = -27*p + 6. Suppose f - p*i + 6 = -0*f, 10 = -5*f + 5*i. Let z be (21 + 4)\/5 - f. Solve 0 = 5*a + x + 5, 0 = 4*a + z*x - 5 - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -3\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -469 + 466. What is the closest to -6 in 1\/5, -5, h, -0.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 6)*(190 - 190 - 4*r) - 13 + 11*r + 13 in the form h + y*r and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 10, 4675, -5, 4, 0 in descending order.\nAnswer: 4675, 10, 7, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/1848)\/(2*-3 + (-7)\/((-588)\/552))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 11:02 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + o. Suppose 2*n + i - 12 = o, i = n + 4*i - 11. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -615, -1236, -1855, -2472, -3087, -3700, -4311?\n\"Answer: k**2 - 624*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 3*n**2 - 1629. Let s(x) = 1. Let i(o) = 3*o - 6. Let t(p) = -i(p) - 6*s(p). What is t(v(a))?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*a + 23413 - 22848 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2121333021301 + -2?\nAnswer: -2121333021303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337630 = 6*o + 32*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 10. Let v(i) = -i + 11. Let n be v(16). Let l(q) be the second derivative of -2*q**3\/3 + 11*q**2\/2 - 724*q. Give n*l(o) + 6*a(o).\nAnswer: 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 2:23 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -26*r + 5. Let f be y(0). Solve -30 = f*m - 11*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 108. Let q(r) be the third derivative of 0 - 1\/40*r**5 - 4*r**3 - 3*r**2 + g*r + 1\/2*r**4. Factor q(k).\nAnswer: -3*(k - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**8\/120 + d**7\/210 + 7*d**6\/180 - d**5\/30 + 7*d**3\/6 + 11*d**2. Let t(v) be the first derivative of i(v). Factor t(p).\nAnswer: -2*p*(p - 1)*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**2 - 2922309*z + 2922312 = 0.\nAnswer: -974104, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 340?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - -9. Let l be (22\/4)\/(4\/o). Let g = 171 - l. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162.1 - 171. Round j to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11418, 10940, 10474, 10026, 9602, 9208, 8850?\n\"Answer: t**3 - 485*t + 11902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291518090?\nAnswer: 2, 5, 29151809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.387977 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t - 528. Let w be p(2). Are w and -1555\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 363688628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 3 - (-9 - -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -564, -726, -880, -1026, -1164?\n\"Answer: 4*b**2 - 174*b - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3044 + 4?\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15607408627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d. Let g(r) = -133*r. Let p(f) = 77*b(f) - 4*g(f). Suppose -x + 3*a = 1, 3*a + 5 = 2*x + 4. Let c(o) = -x*o**2 - 153*o + 153*o. Give p(c(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + sqrt(243) + 0 + sqrt(243))*-5.\nAnswer: -90*sqrt(3) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*y**2 + 8210*y - 8210*y - 19*y**2.\nAnswer: 106*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7960 and 0.13.\nAnswer: 1034.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**3 + 1249224*q - 1249525*q + 0 + 1 as r + m*q**2 + g*q + p*q**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -26 + 3 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2. Let d(i) = 67*i**2 + 4*i + 2. What is d(c(u))?\nAnswer: 268*u**4 - 8*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quuq when four letters picked without replacement from {q: 4, u: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/19)\/p*p*p**13)**21)**(-4\/5) assuming p is positive.\nAnswer: p**(-22512\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.031, -2\/31, 0, -6?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/4*4\/2. Differentiate -13*g**2 + 5 - 2 - i wrt g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9899547 + 9899524.9999848. Let a = -133 - -155. Let g = v + a. Round g to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 20) + -7 - 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -5. Let k be ((-2)\/c)\/(4\/(-120)). Solve -2*s = -6*s - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 - 1562*c + 7809. Determine p(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*i + 6, 2*s + 11 = -i + 17. Let w be ((-1)\/(-1))\/(3\/9). Suppose -w*c = -4*d - 7*c + 64, 0 = -5*c + 20. Solve o = -o - 6, s*m - o + d = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23367 divided by -42\nAnswer: 7789\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1194.2 - -799. What is i rounded to the nearest 10?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaab. What is prob of sequence aba?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 + -119. Suppose 3*f + 4 = 2*l, 0*l + 2*l - 4*f = 4. Suppose 10 = 5*b + 2*p - 23, b - 17 = -3*p. Solve b*k - 5*x = -3 - a, k = l*x - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**4 - 7*m**4 + 157*m - 4*m**4 + 69*m wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1257\/7 - 1198\/7. Sort -0.2, l, 3 in decreasing order.\nAnswer: l, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-6)\/8) + 217\/(-284). Let s = 4043\/284 - v. Calculate the common denominator of -29\/24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 4 + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -15, -6, -0.1, 0.1, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17106 + 24605. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67002, -67015, -67032, -67053, -67078, -67107?\n\"Answer: -2*k**2 - 7*k - 66993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-2)\/2 + 1. Suppose -32*k + 5*u = -28*k - 638, 2*u - 490 = -3*k. Let h be k\/567 + 80\/14. Sort 3, h, -3, j.\nAnswer: -3, j, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:51 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.15124 micrograms in kilograms?\nAnswer: 0.00000002115124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*o**2 + 610*o**4 - o - 609*o**4 + 0*o**2 to the form u*o**3 + q*o**4 + c*o**2 + l*o + a and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 939, 1005, 1129, 1329, 1623, 2029?\nAnswer: 2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 19. Solve -5*z + 4 = -3*a, 5*a + 0*z + z + 16 = f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244 - 189 + 432 + 17*t.\nAnswer: 17*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/7)\/((-3)\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15817*c**4 - 6*c + 1057 wrt c.\nAnswer: -189804*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*u**4 - 834*u**3 + 18105*u**2 + 33742*u + 12240 = 0. Calculate u.\nAnswer: -5\/4, -1\/2, 34, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3874500, 3874502, 3874504, 3874506?\nAnswer: 3874508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - q - 13. Let v(k) = k**2 - k - 6. Calculate 3*b(t) - 5*v(t).\nAnswer: t**2 + 2*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 751\/(-30) - 7\/(-35) and (-4)\/3*(-146)\/24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56505734 and 2812.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3044 = -2*u, -m = -0*m - u + 762. What is m rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89254 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -940935\/46 or -20455?\nAnswer: -940935\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/22 and (-6)\/8*(-5)\/690*-57.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/405702 and -4\/67617.\nAnswer: 405702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 3*j + 145. Suppose -3*g = -13 - j. Let a = -8 + g. Calculate the lowest common multiple of a and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*c + 5*j, -5 = 5*c + 11*j - 7*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 3:14 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 - 8.1. Let a = w + -1.3. Is -1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/8*((-155)\/150 - -1). Let p(n) be the third derivative of 0 + 1\/6*n**3 + 0*n + 3*n**2 - t*n**4 + 1\/240*n**5. Determine u, given that p(u) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = -13*x + 2139. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2079249582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 766923 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 0, 27, -1, 1, -5, 3.\nAnswer: -5, -1, 0, 1, 3, 27, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 7:32 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176448634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/(-57)*(-2)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 6*k + 2*x, -x = -k + 8. Suppose 7*z - k*z + 12 = 0. What is the closest to -1\/3 in -0.3, 2, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -16*c + 49 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12151 - 4?\nAnswer: 12146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0734 - -0.0266. Let s = -0.234 + 0.834. Which is the third smallest value? (a) -3 (b) 2 (c) x (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - i)*(-3 + 5 + 0) + (4*i - 4*i + i)*(3 - 3 - 1) + 0 + 0 + 2*i + i - 2*i - 3*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16947 - -24148. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*c + 3*c + 3355088, 3*c + 2684075 = 4*s. Suppose 11*f = -s - 1050482. What is f rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137391 is divided by 133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6 + 9*h**2 - 1 - 14*h**2 wrt h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 955 and 10.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1688\/13 + -130. Which is the third biggest value? (a) -17\/2 (b) l (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -514 - -516. What is the closest to -0.1 in 0.4, p, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1)\/j)**(7\/8)*j**(-1\/2)*j**(-3\/8))**(11\/2) assuming j is positive.\nAnswer: j**(-77\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 24 = -4*c. Suppose -c*b = -2*b - 4. Let m(f) = 26*f**3 + 2*f**2 - f. Is m(b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/53)\/n**(-12))**(-47) assuming n is positive.\nAnswer: n**(-29986\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*y + 17*y - 2*y**3 - 6*y + 4 wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -90 (c) -3\/4 (d) 3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.598157?\nAnswer: 1.196314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.56567 milligrams to grams.\nAnswer: 0.09956567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 2\/7*i**2 + 0.\nAnswer: 2*i**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(6*(1 + sqrt(1573))*-4 + (sqrt(1573) - ((sqrt(1573) - (sqrt(1573) + -1 + sqrt(1573))) + 0 - sqrt(1573)))*5))**2.\nAnswer: 22968*sqrt(13) + 513017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2220)\/333*((-218)\/10 - 1). Let g = -149 + q. Solve 3*c = -6 + g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. What is the closest to q in -5, 0, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*w = -63*w. Let y = -63 - -62. Let v be 8\/30*(-6)\/4. Which is the closest to v? (a) w (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 2*g**2 - 2*g + 1. Let c be a(2). What is the smallest value in -5, c, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -5573, -1\/3, 1.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 10*t = t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atafttfxxaa. What is prob of sequence ax?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q. Let x(g) = 56*g. Let m(r) = -157*r + 6. Let t(i) = 1569*i - 63. Let s(h) = 21*m(h) + 2*t(h). Let c(w) = -3*s(w) - 8*x(w). What is k(c(a))?\nAnswer: 232*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127 + 128. Suppose -3*a - g + 7 = 0. Solve -6 = 4*x - a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-2\/7)))\/(q\/q**(-21\/8)))**(17\/3))**(-26) assuming q is positive.\nAnswer: q**(16133\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 21*n - 3. Let a be i(3). Let w be a\/14 - (-4)\/(-14). Calculate the highest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1308 = -l - 4*s, -5*s = -4*l + 2468 + 2911. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42320881 is divided by 720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*3*20\/1050?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let g = 8269 + -16535\/2. Let u(n) be the second derivative of g*n**3 - 23*n + 0 + 0*n**2. Calculate u(a(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 234 = -21. Let c = x - -87. Let s = c + -120. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182593005*w**2 - 306068901.\nAnswer: 365186010*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12832407 and 17023.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34563927, 69127848, 103691769?\n\"Answer: 34563921*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/881 - 76757\/19382. Suppose -337 = l - 3*w + 704, 4*l + 4185 = 5*w. Calculate the common denominator of (-2355)\/l - (-1)\/(-7) and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25819*v - 77424*v + 25806*v + 27*v**2 + 25799*v.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*y + 16, -y - 2 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11002022121001 (base 3) to base 7\nAnswer: -24312412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.879 + -10.8. Let f = i + -34.079. Let g = f + 35. Is g less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 126\/13 (b) 2\/3 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdnnvbdzznjzdzzjz. Give prob of picking 1 n and 1 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 27793 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 32 = 42, -o = -2*n + 39. What is the remainder when 498 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50\/119 - -12\/17. Suppose -3*k = -2*s + 14, 0*k - 4 = 4*s + 2*k. Put s, i, 1\/8 in decreasing order.\nAnswer: s, i, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 3*p - 5. Let c be d(-4). Calculate the greatest common factor of 253 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2.244, 1\/5, 1\/7.\nAnswer: 1\/7, 1\/5, 0.5, 2.244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 2, -3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106 less than -21?\nAnswer: -21.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(75)) - (sqrt(75) - (-1*(0 + sqrt(75)))**2).\nAnswer: 10*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 4:55 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128 or -122?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 0*z**3 + 1\/4*z**4 + 2*z**2 - 1 + 0*z. What is the second derivative of r(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, a: 7}. Give prob of picking 1 a and 1 o.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 9:48 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b = 13000 + 44288. What is the greatest common factor of b and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/2 + 2412*k**3 + 28913*k**2\/2 + 12045*k.\nAnswer: k*(k + 1)*(k + 5)*(k + 4818)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 123498\/(-296) + ((-57)\/12 - -4). Let p = t + 418. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 222, 627, 1350, 2481, 4110?\n\"Answer: 15*p**3 + 24*p**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3 = -4*g, 128636*p = 128624*p + 3*g + 87 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 3. Let c = 3 + -10. Let i be 0 - c - (-7 + 6). Let v(z) = -5*z**2 + 8. Determine i*h(k) + 3*v(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 242973509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 112 (c) 0.1 (d) -0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*p + 992*p + 5*h - 3*h = -3*h + 64, 8*p + 150 = 3*h for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 477, 3\/4, -140, -4, 4?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2054 - -2053. Let n(a) = -4*a - 7. Let d(s) = -5 + 2 + 4 + 0. Calculate t*n(h) - 6*d(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4258, 4265, 4282, 4315, 4370, 4453, 4570?\nAnswer: 4727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o. Let f(r) be the second derivative of 13*r**7\/2520 + r**4\/2 - r. Let q(l) be the third derivative of f(l). What is q(i(c))?\nAnswer: 208*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3 + 76351*i**2 - 458134*i + 610856 = 0?\nAnswer: -76357, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (3 + 9 - 4) + -6 + (20 - 11)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 7. Suppose 0 = 4*u + y - 5. Let x be 2\/(-18)*3\/2. Which is greater: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 15*c - 39. Suppose 358 - 698 + 347 = v. Calculate s(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/30*(5 + -3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v + 2*v)*(-12*v + 2*v - v) + 2*v**2 - 1542*v + 1539*v + v**2.\nAnswer: -8*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70109, -70118, -70153, -70226, -70349, -70534, -70793, -71138?\nAnswer: -71581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 3*l**2 + 4*l - 3. Suppose 0 = -3*u + 8*u + 25. Let n be t(u). Let m = 95 - n. Round m to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-5)\/1) - -33. Let n = w + -31. Let y be 7 + 0*3\/(-9). Solve -2*i + y = -n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 13) to base 16\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1087*h + 892. Determine d(0).\nAnswer: 892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731 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: Four letters picked without replacement from qphpxbg. Give prob of sequence pxbg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73999836 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (14 + (1 - 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 - 1203*l + 2*l**3 - 1282*l + 2478*l.\nAnswer: 10*l**3 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + 10000001110110010000011?\nAnswer: 10000001110110001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6562 - -5?\nAnswer: 6567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 23*c + 13*c + 33*c - 14 = 0, 4*t + 2*c + 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 23 + 2 = z, 0 = d - 2. Calculate the highest common divisor of z and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10724181 and 29817?\nAnswer: 32172543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = -4*x, 5*x + 5 = k - 10. Let o = 2 - x. List the prime factors of o - (-1)\/(1\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -381, -931, -1711, -2727, -3985, -5491?\nAnswer: -7251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-11 - -3) - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 3*s**2 + s - 2. Let u be r(5). Let o = u - 41. What are the prime factors of 303\/6 + 6\/o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9174 is divided by 139.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 6)\/(1 + 2\/2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 455 and 1911?\nAnswer: 9555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1288 divided by -883?\nAnswer: 1288\/883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g - 2*g + (-2*g + 0 + 0)*(1 + 3 - 3) - 4*g + 2*g + 4*g - 373 + 373 + 82*g + (-3*g - g + 3*g)*(1 + 1 + 0).\nAnswer: 78*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 9*u**2 + 5*u + 5. Let c(b) = b**2 - 10*b - 10. Let a be c(11). Let t be ((2*a)\/2)\/((-18)\/144). What are the prime factors of q(t)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164522 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -67a25 + -6?\nAnswer: -67a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-188)\/(-36) + 2\/(-9). Suppose 0 = -5*h + g + 5. Suppose -h*n = -5*n - 2*x + 1, 0 = -2*n + x + 10. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3706 - 3704.6008. Let f = -19 + 17.6. Let d = f + p. What is d rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1450*i**2. Let x(m) = -4*m. Determine n(x(u)).\nAnswer: 23200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-5)\/q)*q\/((q**1\/q)\/q))\/(q**(-1)*q*q**(-9)*q)*(q**(4\/9)\/q)\/(q**(-3)\/q)*q**(-1\/10)*q\/(q*q*q*q**(1\/5)*q) assuming q is positive.\nAnswer: q**(1543\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1679 + 1679 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (252*n**2 - 252*n**2 - 75*n**3)*(2*n + 0*n - n + (4*n - n - n)*(1 + 2 - 1) + 6 - 3*n + 2 - 9) in the form o*n**2 + l*n**4 + b*n**3 + u + y*n and give b.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(0 + 0 + 5*w**3)*(-3 + 4 - 3)*(12*w - 285 - 373 - 15*w).\nAnswer: 30*w**4 + 6580*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -51, -63, -91, -141, -219, -331, -483?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 3*u + 2. Let z be t(-3). Suppose 4*c = 3*c + z. Solve 0 = -2*p - 2*k - c*k - 6, -2*p + 3 = k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -508.021 rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 3*g**2 - 5*g - 5. Let a be j(-4). Sort -1\/3, a, -0.3.\nAnswer: a, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/11, -82, 5\/11, 0.1, -13?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m + 2. Let j(r) = r + 1. Let t(x) = 2*j(x) - q(x). Let h(i) = -16*i + 18. Let l(p) = -133*p + 147. Let f(k) = 49*h(k) - 6*l(k). Give f(t(d)).\nAnswer: -70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 187*l**2 - 216*l. Let t(q) = -189*q**2 + 215*q. Let d(m) = -6*h(m) - 5*t(m). What is the second derivative of d(z) wrt z?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 19. Suppose 4*z + 16 = 0, -q*z = 4*l - z. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 10*n - 1. What is z(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**3 + 35270 - 35270.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.800029 micrograms to grams.\nAnswer: 0.000006800029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 7*v - 17*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 530840 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2945*l**3 + 31*l + 5. Let y(c) = -5892*c**3 - 69*c - 10. Let u(i) = -13*w(i) - 6*y(i). Find the second derivative of u(s) wrt s.\nAnswer: -17598*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30388 + -111?\nAnswer: -30499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + 4*f**4 - 2*f**4)*(0*f + f + f) + (17*f**4 + 11*f**4 - 11*f**4)*(-f - f + 0*f).\nAnswer: -36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 12. Suppose 0*k = 2*p + 4*k - 40, -48 = -x*p + 3*k. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 48 + 45 = -58. Which is the nearest to 0.02? (a) 1\/4 (b) w (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289860 is divided by 144237.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 63*a**2 + 722*a - 32524. Calculate c(60).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 52. What is the remainder when 8 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Let i be (3\/4)\/(-3 - x). Which is the biggest value? (a) i (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 431*q**3 - 2*q**2 + 2*q. Let o be p(1). Let g = o - 411. Solve 6*i = 10*i - g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 533 - 357. Calculate the highest common factor of 396 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.34. What is the second biggest value in 5, l, -7\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000149321364 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 25, -5 in decreasing order.\nAnswer: 25, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y + 4. Suppose s = 1, -4*s = -y*c - 0*c + 28. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27233481.4 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = w - 9, -3*o - o = w - 19. Let q(a) = a**2 - 4*a + 2. Let x be q(3). Let u be -3 - (-91)\/(x - -2). What is the highest common factor of w and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -6*l + 9*l - 13, -2*s - l + 5 = 0. Suppose 5*u + 3 = s*g + 27, -5*g - 2 = 2*u. Solve -18 = -u*m + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 35. Suppose 0 = -q + 6 - 4. Solve n*w = q + 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 2103089150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, -14, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256012797?\nAnswer: 3, 85337599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/901528 and 103\/12.\nAnswer: 2704584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -249. Is 0.1 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -435 (b) 0 (c) -1\/2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1759*h**3 - 1 + 1770*h**3 + 34*h**2 + 24*h**2 - 10*h**2.\nAnswer: 11*h**3 + 48*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61453900, 122907803, 184361720, 245815657, 307269620?\n\"Answer: z**3 + z**2 + 61453893*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593 divided by -1?\nAnswer: -2593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 2:11 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(4\/25)\/(i*i**(1\/2)*i*i*i\/(i**3*i*i)))**14 assuming i is positive.\nAnswer: i**(119\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 504058648 a multiple of 902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 8. Let u be x(-6). Find the first derivative of 2*h**2 - 3*h**u - 1 - 1 wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 307, -1, 12, -29, 1, 4, -15 in increasing order.\nAnswer: -29, -15, -1, 1, 4, 12, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 1\/5 (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 - 6*w - 6. Let b be q(-1). Let l be (2 + 3)\/(b\/(-10)). Calculate the greatest common factor of 110 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*u - 2*u, y = -2*u - 13. Let a be (-2 - -1) + -1*(575996 - y). What is a rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (104\/18 - (0 - (-16)\/(-72))). Let w(v) be the second derivative of s*v + 1\/5*v**2 + 0 + 1\/60*v**4 + 1\/10*v**3. Solve w(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23557 or 23472?\nAnswer: 23472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -14. Let -8 - 5*m**2 + 4*m + 3*m**2 + 8*m**j - 2*m**2 = 0. What is m?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65974586.1 rounded to the nearest one thousand?\nAnswer: 65975000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10904*x**3 + 54516*x**2 + 43596*x - 16.\nAnswer: 4*(x + 1)*(x + 4)*(2726*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) -1 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10284)\/903278)\/((-3)\/17).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -58. What is the remainder when u is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1195 divide 293600745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3873 - 3894. What is the smallest value in -0.5, z, 10, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f + 6*f. Let h(z) be the third derivative of 7*z**5\/60 + z**4\/8 + z**3\/6 - 17*z**2 + z. Give h(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**6\/720 - j**5\/12 + j**4\/12 + 2*j. Let v(w) be the third derivative of t(w). Let f be v(7). Which is smaller: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-4)\/8*1. Let b = t + 76. What is the common denominator of (b\/10)\/((-4)\/10) and 31\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131949 is divided by 550.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -46. Let t(p) = 2*p**2 - m + 34. Let x(w) = -9*w**2. Let q(z) = z**2. Let c(k) = 18*q(k) - x(k). Determine c(t(o)).\nAnswer: 108*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011001110001001 + -101010111?\nAnswer: -100011010011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*v = 128*v + 6728 - 1470 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 - 4 + 6*k - 2 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3605*b - 3871*b = 6916 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 16. Solve 3*v + 0*v + 13 = 5*k, 4 = -a*v + 4*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18279, -19934, -21591, -23250, -24911, -26574?\n\"Answer: -s**2 - 1652*s - 16626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 - -90. Let c = y + 68. Suppose c = z + 4 - 8. Solve 2 = -z*f + 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6051056*l - 4 - 2181*l**2 + 6051056*l + 1087*l**2 + 1093*l**2 + 5 - 1.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -78*j - 679. What is a(-8)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 - 2*t**2 + 1. Let o be j(1). Find the second derivative of -o*k - 12*k**2 + 15*k**2 + 21*k**2 - 13*k wrt k.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 22. Let f(w) = 201*w**2 - 1. Let z be f(k). Suppose -12*r - z = -17*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 4*i**2 - 3*i**2)*(5 + 7*i - 12*i - 7*i).\nAnswer: 24*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904660.7 millennia to months.\nAnswer: 10855928400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -792 + 1641\/2. Find the common denominator of z and -13\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2030*n**2 - 2030*n**2 + 1 + 6*n - 3*n**3 + 21*n as l*n + y + h*n**3 + o*n**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4974.\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 610 - 36. Suppose -6*u - l = u. Let d = -80 - u. Solve -j + 1 = -d*i, i + 4*i = -3*j - 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - f)*(0*f**2 + 0*f**2 + f**3) + ((-2 + 2 - 1)*(-2 + 1 + 0) - 2 + 2 - 4 + 3 + 4 - 5)*(-27*f**2 + 27*f**2 - 5*f**4).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188244579*n**4 - 314024065*n - 2 wrt n.\nAnswer: -2258934948*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 745 and 3490.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/((-3)\/15). Suppose -t + 0*k + 9 = 5*k, -2*k = -s. Is (t + -5)\/(1\/(-11)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 11 = -9. Suppose 0 = 4*o - 2*f - 20, o = -9*f + 4*f + m. Suppose 4*x - j = -5*j + 32, o*x = -j + 24. Put -1, x, 0 in descending order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**4 - i**4 + 4*i**3 + 38*i**2 + 31*i**2 - 68*i**2 + 13 - 3*i**4 to the form f*i**2 + r*i + b*i**3 + x + n*i**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 59 - 28)*(z + 3*z - 5*z)*(-4*z - 3*z + 4*z).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62763699 is divided by 5851?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14725791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/30*((-6)\/(-70))\/(30\/140).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 22. Let n(j) = j**2 + 2. Let g be n(r). Suppose 3*b = 3*i + 741, -i + 2 + g = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/247, 3\/5, -228, -1\/6.\nAnswer: -228, -1\/6, 5\/247, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545184?\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -78\/205879?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493418 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1598553 by -2.\nAnswer: 1598553\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -4. Suppose -2*f = 2, -3*f - 73 + 10 = 5*u. Let l be (n\/6)\/(u\/90). Solve 2*h = 3*h - 4*j, -l*h = -5*j - 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-9)*4\/(-560)*-30?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4069*t**6 - 822*t**2?\nAnswer: 488280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3620866352.\nAnswer: 2, 163, 1388369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/(-12)*2\/(-3). Suppose 3*j = -u*o + 4, 6*j - 4*j = -o - 2. Solve -o*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72276.\nAnswer: 2, 3, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3576*i + 3222*i - 9817*i + 3404*i.\nAnswer: 385*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 149\/4. What is the second smallest value in 3, 2\/19, z, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175107?\nAnswer: 1175107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*l + 0*l + 18*l + 71*l)*(-904 + 114 + 483) to r*l + f and give r.\nAnswer: -29472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 7*n + 4 + 8.\nAnswer: -7*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -11*a**2 + 12*a - 19. Suppose 62 = 17*p - 74. Let i(o) = -31*o**2 + 37*o - 54. Let s(k) = p*z(k) - 3*i(k). Determine y so that s(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2ad (base 15) to base 8\nAnswer: -1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**43*g)\/g**26*(g\/(g*g**(-1)*g)*g)\/(g\/g**(20\/9)))**(-8) assuming g is positive.\nAnswer: g**(4664\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2240 is divided by 401?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226002 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0 + 3 - q**3 - 9*q**2 + 4*q**2 + 6*q. Give s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {k: 3, m: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-3\/29))\/k*k**(-32)*k**(4\/3)\/(k*k**(-15)\/k) assuming k is positive.\nAnswer: k**(-1267\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 891.5026 tonnes in milligrams?\nAnswer: 891502600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 151 + (5 - 8) + -3 + 2. Differentiate -21 + 176 + 32*j**3 + w*j**3 - 3*j**3 + 38*j**3 with respect to j.\nAnswer: 642*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 10. Suppose 4*b + j = 6*b - 7, -b - 1 = 4*j. Suppose h = -b + s. Put 0, h, 5 in descending order.\nAnswer: 5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(sqrt(272)*2)**2)*1 - (-2 + (0 + 3 + (sqrt(136)*1 - sqrt(136) - sqrt(136) - sqrt(136))\/sqrt(8))**2).\nAnswer: -3336 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245 - 240. What is the highest common divisor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 7, o: 2}. What is prob of sequence ooii?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*o - 263*o + 142*o - 11620 = 0. Let x(u) = -u**2 - u. Let y be x(-6). Which is greater: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 298?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -121. Suppose 0 = -q*d + k - 15, -13 = -5*d + 7*d + k. Let g(x) = 4*x. Let v(c) = 22*c. What is d*v(u) + 24*g(u)?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -44 + 2. What are the prime factors of (0 - l)\/(2 + -3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1050 (base 9) to base 5\nAnswer: -11044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12054 = -2*a + 5*x, 2*x + 5235 - 29415 = -4*a. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1479 - 619. Suppose 4*m + 48 = z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*t + 235*t + 41 = -4*p, 0*t - 61 = 2*p + 15*t for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1001 + 560. Is -440 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18879.\nAnswer: 3, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/(z*(z*z**(-4\/7)*z)\/z))**11 assuming z is positive.\nAnswer: z**(275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 880 and 338?\nAnswer: 148720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 14*c - 42. Let z = -54 - -41. Let w be v(z). What is w rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:40 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**2 + o + 18*o**2 + 4*o**2 + 13*o**2.\nAnswer: 55*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 68.99864. What is q rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 21*t**4\/4 + 2*t**3\/3 - 5*t**2 + 2*t - 44. What is the second derivative of u(o) wrt o?\nAnswer: 126*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 24. Let v be a(-8). Suppose -2*p - 7 + 19 = v. Let l(n) = 2*n - 6. Determine l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 194 + 4*z**2 - 2*z - 110.\nAnswer: 4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100787, -100873, -101015, -101213, -101467, -101777?\nAnswer: -102143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**2 - 16*q**2 - 3*q**2 + 0*q**2 to the form p*q**2 + d + f*q and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h + 58 = 4*r + 22*h, r - 9 = -3*h. Put -1\/4, r, -2\/5, 1\/3 in decreasing order.\nAnswer: r, 1\/3, -1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 2*y**2 - 2*y + 1. Suppose t + 6 = 2*h, 7*h - 4 = 4*t + 4*h. Let w be g(t). Is (-2059)\/w - (-8)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*f**2 + 2329*f**2 - 331*f**2.\nAnswer: 2642*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1101111101010010000?\nAnswer: -1101111101010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -814?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3001 = 2*d + 2973, 68 = -2*d + 4*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 divided by 217?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7601726440?\nAnswer: 2, 5, 7, 11, 167, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 9 - 6. Suppose 5*p + 5*u + 5 = 765, 3*p - 472 = f*u. Calculate the highest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 468*s*t**2 + 3*s*t + 16576521*s - 2*t**2 - 8*t wrt t.\nAnswer: 936*s*t + 3*s - 4*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 23. Which is smaller: -7 or v?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -543878, 4, -28 in decreasing order.\nAnswer: 4, -28, -543878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -228686.\nAnswer: -3\/228686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.064, 762, -5, -1\/2, -3\/28, -0.4, 2\/7?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/3 - 60*b**3 - 4703*b**2\/3 + 1628*b = 0. What is b?\nAnswer: -148, -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.54 and -568.6525.\nAnswer: -569.1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/22 and 6988\/(-816) - (-15 - -7)?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/21)\/(10\/14)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 129. Let k be f(44). Suppose -15*r + 10*r + 280 = -5*x, 2*x = k*r - 163. Is r less than or equal to 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 3715*j + 14887. Let x be o(-4). Let h = -0.06 - 0.03. Which is the nearest to 2? (a) -0.3 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2 - -2)*1. Suppose 0*f = -p*f + 15. Solve -f*l + 4*l = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/(-1))*(-16)\/(-10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 2*v + 2. Let f be z(-8). Let d = -91 + f. Is 36 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.273 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1.8 (c) 3.407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8434 + 17973. Let s = a - 5548. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*o**3 - o**2 + 2*o**2 + 74*o**3)*(-o - 2*o + 4*o).\nAnswer: -25*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 33, -3.62, -0.2 in increasing order.\nAnswer: -3.62, -3, -0.2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82651 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + -5 + -3 - 10) + 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 2*x - 12, 704 = -245*b + 8*x - 9*x - 932 - 1304 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 229845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4141, 4136, 4131, 4126?\n\"Answer: -5*m + 4146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 12) to base 5.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 13. Let x be m(17). Sort -3, 2, x, 3 in descending order.\nAnswer: 3, 2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12 + d + 0 + 5*d**2 - 7*d**2. Let m be l(5). Let p = -39 - m. Calculate the greatest common factor of 54 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 3. Suppose 6*x + 72 = 2*x. Let i = x + 45. Suppose 4*h = 5*t + i, 0 - 24 = -5*h + 3*t. What is l(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 138*b**3 - b**2 + 228 wrt b?\nAnswer: 414*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/27)\/((-37)\/444) - (7 + -3).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96124*j**3 - 192245*j**3 + 96123*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -901*v. Let p(t) = t**2. What is p(o(w))?\nAnswer: 811801*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 8:01 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1722359268 divided by -14\nAnswer: -123025662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 24 = 6. Let b(v) = -4*v**2 + v - 1 + v**3 - 5*v - 4 + 2*v**2. What is the remainder when k is divided by b(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:41 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -180514000 to the nearest one million.\nAnswer: -181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -595 divided by 72?\nAnswer: -595\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 323.88 - -5.12. Let v = 329 - g. Put -5, -2\/7, v in decreasing order.\nAnswer: v, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:17 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-24)*(-3)\/((-18)\/4). Let v = 0 + 19. Let c = v + -18.8. What is the nearest to 0.1 in 0.7, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.31, -25, 3 in decreasing order.\nAnswer: 3, -0.31, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3813)\/(-27) + (-10)\/45. Let n be 6\/33 - l\/(-11). Let f = -12 + n. What is the highest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 6*n - 1. Let d be (-16)\/2*n\/2. Solve 0 = -3*b + 5*p - 3, -d*p = 5*b - b - 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/q**(-32)*q)*q)\/q**11)\/((q**(-31)*q)\/(q\/(q**(2\/13)*q))) assuming q is positive.\nAnswer: q**(-184\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -73132 (base 15) to base 14\nAnswer: -96d12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3 - 1556*m**2 + 1562*m + 3116 = 0 for m.\nAnswer: -779, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137066 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maffmmvnrnfvffvfvm. Give prob of sequence rvv.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = -4*t - 21*k - 16, 0 = t + 4*k + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(33)\/sqrt(3) + 4.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from xxxwwxxxwwx.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -4*z**3\/3 + 212*z**2 - 11236*z - 162. Factor i(b).\nAnswer: -4*(b - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 16 - 19 + 0 + 15*k + 20 + 45*k to v*k**2 + c*k + i and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29990181.76 rounded to the nearest ten thousand?\nAnswer: 29990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 4*i**2 + 3*i**3)*(1 + 1 + 2)*(2 - 1 + 1).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 8*a**2 + 11*a - 31. Let o be q(9). Let l = o - -16. Solve u - l + 1 = -c, 22 = c + 5*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 5*k - 9. Suppose -d + 35 = -6*g + g, 5*g = -5*d - 65. What is the tens digit of q(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2569 + 6212. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s + 1. Let j = 20 - 14. Let w = 5 - j. Let n = 2 + w. Let b(a) = -3*a**2 + 7*a + 6. Determine n*b(q) - 5*t(q).\nAnswer: 2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*g = 5*z - 342*g - 11, -g = -1. Let y(o) = o**2 - 8*o + 8. Give y(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 10*z**4 + 4*z**4)*(-46*z - 39*z + 23*z) - 11*z**5 + z - z.\nAnswer: -755*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 694437 + 877263. What is j rounded to the nearest ten thousand?\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1624254 minus 43.9581?\nAnswer: -1624297.9581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -20786*t + 10426. Let j(r) = -6929*r + 3478. Let h(g) = 19*j(g) - 6*l(g). What is the derivative of h(z) wrt z?\nAnswer: -6935","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 11*o**2 - 8*o - 6. Give h(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.56351218 rounded to four dps?\nAnswer: 9.5635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -6. Let n(s) = s**3 - 13*s**2 + 29*s + 14. Let c be n(10). What is the closest to 2\/23 in c, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b + 4. What is the tens digit of d(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 9 + 2*y**2 - 10 + 20 to the form l*y + m + k*y**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajt when three letters picked without replacement from kjlqllkaktja.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 5*l - 5. Let r be s(-5). What is the units digit of (-2)\/r - (-38)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1265449 minutes to nanoseconds.\nAnswer: 7592694000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -219 - (-2 + (-9)\/(-3)). List the prime factors of (6\/4)\/((-15)\/u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 40 - 24. Suppose -w + 0*w = -b. What is the lowest common multiple of w and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 189185*v + 134815*v - 3884*v**2 - 3*v**4 + 360*v**3 - 8786*v**2 - 3530*v**2 - 2430000 = 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/t**(-5\/9)*t)*t)\/(t\/t**(-1\/4)))**13)**3 assuming t is positive.\nAnswer: t**(-377\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**3 - b**2 - 5*b - 4. Let y(p) = -p**3 - p**2 + p + 1. Let h(t) = -i(t) - 6*y(t). Calculate h(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**6\/21 - 4*d**5\/5 - 5*d**4\/2 + 88*d**3\/21 + 68*d**2\/7 - 128*d\/7 + 324. Find i, given that u(i) = 0.\nAnswer: -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 476, 27, -744, -1837?\n\"Answer: -161*v**2 + 34*v + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 1, z: 2, f: 4, h: 1, v: 2}. What is prob of picking 1 z and 1 r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/(g*g**(2\/5)*g))\/(g**7*g\/g**(-3)) assuming g is positive.\nAnswer: g**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-4*i**5 - 3*i**3 + 3*i**3) + (-i**3 - i**3 + 4*i**3)*(3*i**2 - 3*i**2 - i**2) - i**2 - i**5 + i**2.\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 7\/5017, -226 in descending order.\nAnswer: 7\/5017, -0.1, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1581*c - 1666*c + 765. Solve 4*u - b + 3 = 0, -7*b = -3*u - c*b + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -140237, -140235, -140233, -140231, -140229, -140227?\n\"Answer: 2*g - 140239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:25 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.664694 + 28.333606. Let l = -29 + g. What is l rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 228, 572, 1062, 1692, 2456?\nAnswer: 3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(20)\/sqrt(4)))\/(sqrt(44)*5) - (sqrt(243)*-1)\/(sqrt(27)\/sqrt(48)).\nAnswer: 121*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-616)\/(-6030) - 2\/18. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 + 60*d**2 - 4*d - 60 = 0. What is d?\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262.99 + -263.028806. Let b = q - -0.0688065. Let d = 0.03 - b. Round d to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129388 divided by -4621.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5\/7 - 404*y**4\/7 - 5548*y**3\/7 + 7852*y**2 - 91648*y\/7 + 42640\/7 = 0. What is y?\nAnswer: -82, -26, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5557*f**4 + 2*f - 9226.\nAnswer: -66684*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.129 take away 0.1?\nAnswer: -58.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2829\nAnswer: -2\/2829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + -5. Let h = z - -7. Let o = h + 33. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, -1542, -4251, -8044, -12921, -18882, -25927?\nAnswer: -34056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 7. Let y be u(-5). Let h be (-2)\/4 - y\/(-8). Solve -3*i + 2 = h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*(0 + sqrt(539) + sqrt(539)))*2 - (-2 + (sqrt(539) - (0 + sqrt(539))*-5 - sqrt(539)*2*-2)))**2.\nAnswer: 168*sqrt(11) + 19408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/64*(4 + 3 + -11) - 1. Factor -8\/3 - 8\/9*d + 2\/9*d**l.\nAnswer: 2*(d - 6)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 2*m**2 + 12*m. Let h(y) = -5*y**3 - 8*y**2 - 26*y - 17. Let i(x) = h(x) + 2*n(x). What is i(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 1c905?\nAnswer: 1c8f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 15*h**2 + 48*h - 140. What is w(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78*392\/((-45472)\/(-58))*1*3*1.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 1\/4 (c) -1 (d) -2\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 6, c: 4, a: 2}. What is prob of picking 2 c?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 5)\/(4\/(-2)). What is the smallest common multiple of (24\/(-18))\/(v\/(-3)) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k + 1. Let u be y(2). Suppose -2*o + 8 = -3*a - u, 0 = 3*o - 5*a - 62. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 + 2*r - 1. Let l(q) = -10*q**3 + q**2 - 7*q + 3. Calculate 7*b(h) + 2*l(h).\nAnswer: h**3 + 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s = -43*s + 25. Suppose -f - s = -270. List the prime factors of f.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -985099 + -1578334.\nAnswer: -2563433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2237 or 2236?\nAnswer: 2236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 849 - 707.2. Let a = 172 - n. Let k = a - 30. Put -0.3, -0.1, k in ascending order.\nAnswer: -0.3, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*r = -44*r - 2967287. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 + -1)*(-3)\/(-4). Let l(x) = -46*x + 961. Let q be l(21). Let t = a + q. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 69.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 3*o + o - 6*o - 2*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {z: 2, m: 1, q: 1, l: 1, i: 1, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76293 and 109123.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.1, -5\/6, 2\/13, -4, -3 in descending order.\nAnswer: 2\/13, -0.1, -0.4, -5\/6, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 74 = 2*c, 0*c + 70 = -2*r + 2*c. Calculate the common denominator of r and ((-2)\/(-22))\/((-6)\/222).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 - 3*q**2 - 109*q - 107. Let u be p(-1). Solve -3*m - 15 = 3*o, 0 = -3*m - m + u*o + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -5, 6, 4\/7, 48556, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -1. Suppose -8*c + 11*c - p = 0. Suppose 2*a = -4*o + 34, c*a = 5*o - o + 21. Calculate the remainder when 31 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 11 - (15 - 33 - -17) - 28\/23.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + ((sqrt(13)*-3 + 4 + sqrt(13))**2 - sqrt(13)))*6.\nAnswer: -102*sqrt(13) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 196 + -208 + 18 + 12 + (0 - 1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 49 + 11*k**3 - 50.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27077*c**2 + 4156 + 215*c + 13543*c**2 + 13540*c**2 wrt c.\nAnswer: 12*c + 215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uujw when four letters picked without replacement from xxxxujwxxuujxu.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1. Let n be ((-9)\/(-12))\/((-2)\/(-24)). Let h = n + -8. Let r(u) = 3*u - 14. Let l(q) = q - 4. Let w(s) = 2*l(s) - r(s). Determine h*w(b) + 6*o(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 - 1001?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -28\/3. Let s = 175\/8 - 20. Calculate the common denominator of m and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13410289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 774454\nAnswer: 1\/774454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*h**2*m + h**2*v - 4114*h*m*v - 36*m*v - 34447*v + 3 wrt h.\nAnswer: 28*h*m + 2*h*v - 4114*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19598, 19504, 19350, 19106, 18742?\n\"Answer: -5*i**3 - 59*i + 19662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0347 * -175.\nAnswer: 6.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from lata.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxfkkhw. Give prob of picking 1 w and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84517 + -47425. Is 28 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from xsxissrimsmrpx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15000 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2*x - 2*x + 4 - 4 - x + (-2*x + 0*x + x)*(-2 - 3 + 3))*(1 - 3 - 7)*(4 - 1 - 5).\nAnswer: 72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2645*u**2 + 1379*u**2 + 4 + 1336*u**2 - 4.\nAnswer: 70*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3 + 24*p - p**2 - 13*p - 17*p. Let m be a(-2). Suppose -m*g - 97 + 1632 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 6*j**3 - 2 + 12 - 2*j + 3 as z + k*j**3 + v*j**2 + f*j and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 48?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (160 + -168 - 43\/(-3))*3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/3 + 464*h**4\/3 + 7462*h**3 = 0.\nAnswer: -41, 0, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 41*c**2 + 3680*c - 73702. Determine u(20).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 4*o + 1. Let a(x) = x - 3. Let z be a(3). Suppose 5*d + 2*d - 21 = z. Suppose -4*n = -5*n + d. What is h(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 21 - 2*r**2 - r**2 + 18 - 42. Let n = 7 - 1. Let y be (-10)\/4 + -2 + (-10)\/(-20). Let i(z) = -2*z**2 - 2. Give n*i(o) + y*p(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84750178103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 2274*q**2\/7 - 58460*q.\nAnswer: 2*q*(q - 1295)*(q + 158)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-312))\/((-24)\/36).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/3*(-2)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(1377) - (-4 + -2*sqrt(1377)))**2.\nAnswer: 108*sqrt(17) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t*t\/(t**1\/t))\/t))\/(t**(-4\/5)\/t))\/((t\/(t*t**(2\/5)))\/((t*t\/(t*t**(-7)))\/t)))**(2\/115) assuming t is positive.\nAnswer: t**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1246969432 and 808?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5043 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 2*a**2 - 2*a. Let l be u(-2). Suppose l*o + 104 = 4*t, -2*o + 6*o + 48 = 2*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*6\/(-540) - (-494)\/5382.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/17, 5\/6, -3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/22764924 and -20\/11.\nAnswer: 250414164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o + 19*o + 38 = -16*o - 8*z, 2*o + 2*z + 14 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (7 - 12) + 7 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 708 and 728886?\nAnswer: 1457772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5316 - 15970 + 26*m**3 + 5332 + 5322.\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -35402?\nAnswer: 35365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m + 36*m**2 + 23*m - 39*m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016629713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 70544 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 0.5, -2, 5, -2\/11, 1\/4.\nAnswer: -2, -1, -2\/11, 1\/4, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*t + 62*t + 532 = 0. Solve 34 = t*o + 27 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-130)*10)\/((-2)\/(-3) - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.101 + 68.351. Let k = 84 - h. Let u = 15 - k. What is u rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 0.4 (b) -5 (c) -3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/7 <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {q: 5, b: 1, s: 3, r: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = 2*i, 3*i + i - 4*t = 24. Let q(x) = -5*x + 3. Let d(h) = -4*h + 2. What is i*q(z) - 4*d(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*2)\/(sqrt(900) + sqrt(900)*-2).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -274 + 253 + 2258\/94 + -3.\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 4852*u**2 - 4848*u.\nAnswer: -4*u*(u - 1212)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8144.404 days to microseconds.\nAnswer: 703676505600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*r - 5 = 19, c = 4*r + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 159 times 0.7940672\nAnswer: 126.2566848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.215 - -5.215. Sort k, 0.3, -9, 19 in decreasing order.\nAnswer: 19, k, 0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((26 - 18) + 3 + (-8 - -4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73729 + -42295. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113651 (base 9) to base 8.\nAnswer: -205351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31411 is divided by 6277.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:01 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + -5872?\nAnswer: -5887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5680179.544101 + -5680171. Let f = p - -0.144999. Let r = 8.7 - f. What is r rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -36*x + 612. Let w be l(17). What is the nearest to w in -4\/3, -107, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/15)\/(1\/(-30)). Let f(r) = 36*r + 299. Is f(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**2 + 6*g - 12. Let x(h) = 22*h**2 - 17*h + 36. Let p(q) = -2*x(q) - 7*z(q). Let c be p(9). Calculate the highest common divisor of 69 and c.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.186961092 + 0.49.\nAnswer: 0.676961092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.134591 millimeters to meters.\nAnswer: 0.007134591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 46763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**5 + 6*k**4*p + 4*k**4*w + 2*k**2*p*w + 64*k**2*w + 2*p*w wrt k?\nAnswer: 120*k**2 + 144*k*p + 96*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -70558 and -70515 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f - 2*f. Suppose 5*c - 4*g = -25, 2*c + 6 + 4 = g. Put c, f, 3 in descending order.\nAnswer: f, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(-1\/4)))\/(i*i**3*i))\/(i**(-1\/7)\/i**(2\/7)))**(1\/4) assuming i is positive.\nAnswer: i**(-135\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/11))**(-14)*q**38\/q*(q*q\/(q\/((q**(34\/5)*q*q*q)\/q*q)))\/q assuming q is positive.\nAnswer: q**(2364\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-12)*(86584\/2765)\/137.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2130 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (1 - -1)\/(-2). Let q = 9 + -10. Which is smaller: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = j, d - j = 9 - 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22663?\nAnswer: 131, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8723\/214 or 42?\nAnswer: 8723\/214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1 + sqrt(5))*5.\nAnswer: 5 + 65*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n = -23*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1050 + -1049.8. What is the closest to -2\/5 in m, -2327, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-2)\/(-77))\/((-813)\/(-1897)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 14, 2\/3, 15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000068296 to six decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 + 2541336*d\/13 - 7623990\/13.\nAnswer: -2*(d - 1270665)*(d - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/24 + o**3\/3 - 2*o**2 - 3*o. Let b(w) be the first derivative of n(w). Suppose 0 = f + 3*f. What is b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.2. Let g = 2.31 + -2.3. Let i = g + 0.39. What is the third smallest value in k, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69270 and 4630.\nAnswer: 32072010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176102 + -121459. Is 101 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -87*b + 6604. Give m(76).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g - 21. Suppose -g = -b + d, b - 5*d = 3 + 24. Suppose b*c - 8 = 2*r, 0*c + 5*r = 2*c - 5. Solve -5*f = -5*i, 2*i - 2 + 9 = -c*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, c: 9}. What is prob of picking 1 z and 2 c?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = q + 8*h - 4*h, 0 = 4*q + 4*h + 1156. What is q rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + 16)*(2\/(-3) - -2). Suppose 0 = -3*k - 4*p - f, -2*p - 2*p - 16 = k. Solve -w + k = -3*i, w - 2*w = -i - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**4\/12 - 4*j**3\/3 - 4*j**2 + 4*j. Let m be (-27)\/(-18)*2\/(-1) - 3. Let w be s(m). Solve -u = -w - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/3)\/(10\/(40\/12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 14 = -8*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6032428 and 45846?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -2.2. What is the biggest value in 5\/2, w, -1.1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25312930 to the power of 1\/2, to the nearest integer?\nAnswer: 5031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (0 + 3)) + 13. Suppose -5*d = -x*d + 56. Let u = d - 13. What is the greatest common factor of u and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by (-23)\/(-3) - (-6)\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Let g(x) = x**3 + 50*x**2 + 697*x + 2180. Determine g(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 7*d**4\/4 - d**3\/3 + d - 2. Is q(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -563.1 + 563. What is the third smallest value in i, -13, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -463120 (base 8) to base 3.\nAnswer: -21222201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -95*t**2 + 3*t - 41. Let g(p) = 32*p**2 - p + 14. Let a(x) = -7*g(x) - 2*m(x). Find the second derivative of a(i) wrt i.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*y + 50. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + c - 11 = 2*c, 3*c - 7 = -5*r. Let s(q) = q - 1. Let o be s(r). Let t be (-77)\/(-77) + -1 + -25. Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -40821\nAnswer: 81642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 1. Suppose y = -2 + p. Differentiate 0 - 4*i**3 + 3*i**y - 2 with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177493\/30 + 11827\/2. What is the common denominator of f and 32\/187?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33919.67 centuries to years.\nAnswer: 3391967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*w - 4. Is -1\/4 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4*n - 140 = 0. Let d = n + -22. Solve 0 = 3*i - i - d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770760751 to the power of 1\/3, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34647, 34599, 34551, 34503?\nAnswer: 34455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*((sqrt(68) + -1*sqrt(68) + sqrt(68))**2*3 + sqrt(68)) - (-2 + (sqrt(68) - sqrt(68)*2*-5))) + 4).\nAnswer: -420 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2)\/(3*1\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -217 and 51978.\nAnswer: -11279226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10042\/5 + 1999. What is the common denominator of y and (-29)\/(7 + 3 + -4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -447510549 divided by 296561\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 487 - 486. Sort 0.2, y, -4, -0.13 in increasing order.\nAnswer: -4, -0.13, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from qifdi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 9*j + 2. Is y(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 45) + 2 + 1. Let k = r - -181\/4. Factor k + 1\/4*b**2 - 1\/2*b.\nAnswer: (b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215015389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -31, -5, 3 in ascending order.\nAnswer: -31, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 584602 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58907788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1705810, 6824127, 15354656, 27297397, 42652350?\n\"Answer: 1706106*p**2 - p - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 3, j: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28434*q**4 - 25543*q wrt q?\nAnswer: -341208*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + (-10 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -387584 + 387584 + q. Let k(h) = 121*h. What is k(j(w))?\nAnswer: 121*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, 15, 46?\n\"Answer: 31*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 38*d + 184. Give g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 327, 772, 1405, 2226?\nAnswer: 3235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223334527 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k - 11. Let j(f) = -2*f - 4. Let v(i) = 8*j(i) - 3*p(i). Let o(q) = -8*q + 7. Determine -o(d) + 6*v(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12112 (base 3) to base 8\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86668573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 812.\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(80))*-3)**2*5 + ((1*sqrt(80) + 1 - sqrt(80))*-5)**2.\nAnswer: 360*sqrt(5) + 3670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 12 = -4*w. Solve 0 = -t + 2, -w*g + 5 - 22 = -4*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/11)\/(-6 + -5 + 8).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 60 = -4*a. Sort -1, a, -5 in decreasing order.\nAnswer: -1, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44737102.\nAnswer: 2, 353, 63367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/6 + i**3\/3 + 25*i. Suppose 0*j - 36 = 3*j. Let u = 10 + j. What is n(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) + sqrt(448)*-2 - sqrt(448)) + sqrt(448) - sqrt(448)) + 5)**2 + (sqrt(700) - -2*sqrt(700))**2*-4.\nAnswer: -23383 - 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(-19 + 7)*(-6)\/(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 52 = -16*u. Suppose j - 2*j = 3. Put j, u, 4 in descending order.\nAnswer: 4, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*i + 4, 3*i + 5 = 11. Let s be 11 - (4 + 0 + -3). Let v = -4 + s. Calculate the smallest common multiple of v and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-1 - (-8 + -1)) + (-224)\/35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -149. Calculate the greatest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2436 and 2729132?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13810 divided by -6905\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**2*k*k*k)\/k)\/k*k**5)\/(k**(1\/3)\/k*k)**(3\/11)*((k\/k**(-1\/6)*k)\/(k*k*k*k**1))\/(k**2\/k)**8 assuming k is positive.\nAnswer: k**(-61\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 2*j**3\/3 + j**2\/2 + 3*j - 1770. Give d(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1695237696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 106691029 and -6.5548.\nAnswer: 106691022.4452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = 65 + 61 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 12*x**2 + 5*x + 28. Let j be g(12). Let l = 11 - j. Let m = -72 - l. Solve 10 = 3*v - m*o, 4*o + 0*o + 8 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 49 - 75 - 221 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -454 + 315 - (-14 + -42)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463169336 to the power of 1\/3, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 58. What is the nearest to -1 in 1, i, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/36 and (12\/42)\/(120\/518).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 8:13 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -21. Let f be ((-2)\/5)\/(2\/(-20)). Solve -3*a + f = -g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2223924.1 rounded to the nearest one thousand?\nAnswer: -2224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2897 - -2894. What is the second biggest value in 5\/4, 4\/5, y, 0.12, 0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 148*j + 133. Determine n(4).\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1161)\/(-6)*(-12)\/(-18) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53482 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/(-39) - 6\/(-39))\/(2450\/(-1050))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 11 - 9 - (16 + -21 - (3 - -14))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*z**2 - 313*z - 356*z + 669*z.\nAnswer: -61*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027320 is divided by 67?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 432?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21963435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738 + 395 + 343 - 3*j + 12*j**2 + 2*j - j.\nAnswer: 12*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/35580 and 107\/17790.\nAnswer: 35580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.316739 to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/29, -1.6, 1\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 5, -6 = -k + 9*c - 7*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 h when three letters picked without replacement from mmmebwhmmnbwehhn.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 1 + 0*z**2 + 8\/7*z - 2\/21*z**3. Let b(y) = 0. What is y?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m**3 - 10*m**2 - 11*m + 6.\nAnswer: (m - 2)*(m + 1)*(7*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/7)\/x)\/(x**(-11\/5)\/x*x))\/(x*x**(-3))**(-47) assuming x is positive.\nAnswer: x**(-3243\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and 29413746.\nAnswer: 29413746.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 12*o + 28. Let f be 8\/(-6)*(-672)\/(-64). Let l be w(f). Which is the biggest value? (a) 5 (b) l (c) 7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (48\/32)\/((-3)\/(-28))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -778 smaller than -778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509645499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {r: 5, v: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/257? (a) -8 (b) -8\/7 (c) -5 (d) 0.2 (e) 3 (f) -14\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 2\/5*s**3 - 1\/70*s**7 - 9\/100*s**5 + 1\/5*s**4 - 2\/25*s**6 - 3*s + 0*s**2 + 0. Let w(j) = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 7 + 2 - (400 - 291)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 + 11314*s - 11312 = 0.\nAnswer: 1, 5656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*h + 287755 = -18*h + 23*h. Calculate the highest common divisor of h and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 4370?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 108*v**2 + 28*v + 28. Let q(f) = -12*f**2 - 3*f - 3. Suppose -7 = r + 4*y, -4*y + 11 = -5*r - 0*r. Give r*a(k) - 28*q(k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 3*o + 3. Let k be r(8). Let i be 3 - (-2 + 2)\/(-1). Suppose 3*y = 2*c - k, -i*c - 3*y + 5*y = -77. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 906, 986, 1112, 1284, 1502, 1766, 2076?\n\"Answer: 23*w**2 + 11*w + 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - -54) + 43 + (-2 - 1) + -3 - 4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q*s**3*v + 19*q*s**3 + 3*q*s**2 - 2*q*s - q*v + q - 2*s**3*v + 136*s**3 + 2*s**2*v - 14573*v wrt s.\nAnswer: -6*q*v + 114*q - 12*v + 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**2 + 86457*f + 345876 = 0.\nAnswer: -4, 28823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 17 = -3*i, 2*i - 1568 = -4*l - 1566 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:37 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 9246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 36*i - 139. Let w be c(-32). Let r = -32 + 34. Let u = r - w. Let d(m) = -17*m - 11. Let k(y) = -8*y - 5. What is u*k(q) - 6*d(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzkz when four letters picked without replacement from {z: 12, k: 6}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 5:24 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14348 divided by 2.\nAnswer: -7174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppzz. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -57. Solve -10 = f*y, 0*g - 2*g + 16 = -4*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 26*g. Let u(r) = -2036*r - 2. What is u(j(w))?\nAnswer: 4072*w**2 + 52936*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**10\/(b\/(b*b*b**(7\/5)\/b))*b**6\/((b\/((b*b**(1\/2))\/b*b))\/b) assuming b is positive.\nAnswer: b**(189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/7 (b) 3 (c) -4 (d) -390\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -267\/22?\nAnswer: -267\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129*f**3*r**5 - 62765*f**3*r**2 - 3*f**3*r + 35531*r**3 + 2*r wrt r?\nAnswer: -7740*f**3*r**2 + 213186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -26) + 647 + -649?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1))\/((860890\/(-197))\/(-190)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 5*n - 183, -287 = -3*d + 5*n. Suppose -2*r + 5*g = -31, 4*r + 7*g = 3*g + d. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = v. What is the common denominator of -115\/24 and ((-105)\/v)\/((-3)\/(-2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*-7*(-4 - -10). Let x = p - -195. Calculate the remainder when x is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvnvnnnvvnnnnv. What is prob of picking 4 v?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132449574 to the power of 1\/2, to the nearest integer?\nAnswer: 55968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 9791.6 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5171423610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30583427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47747.24 days in hours?\nAnswer: 1145933.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-162)\/(-45))\/((-2)\/(-30)). Let l = -25 + g. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -3)*(1 + 9). Suppose 6 = 2*g + l, -4*g + 0*g = 3*l - h. What is the derivative of -5 + 0*p - 3*p + g + 3 wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80947 is divided by 1588?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -2\/1035, 0 in descending order.\nAnswer: 2\/15, 0, -2\/1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**3 + 5*u**2 - 4*u - 3. Let t(d) = 2*d**2 - d. Let q(h) = 7*h**3 - 2*h**2 - h - 4. Let k(f) = -q(f) - 4*t(f). What is 6*c(a) + 5*k(a)?\nAnswer: a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)*1)\/sqrt(12) - -3*sqrt(6655))\/((sqrt(250) + (sqrt(250) - (sqrt(250) - (sqrt(250) + sqrt(250)*2))))\/(sqrt(8)*-1 - sqrt(2))).\nAnswer: -51*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 5*l. Let b be a(6). Let g = -4 - b. Find the second derivative of -g*i**3 + 12 + i - 12 wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10266519423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10 - 3*a + 8 + 3 + 2*a. Calculate r(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2407*d**2. Let i(h) = 2*h. Calculate i(f(b)).\nAnswer: 4814*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - 9*k - 16 - 2*k**2 + 14 + 10*k + 423*k**3 - k**2 in the form s*k**3 + d*k + a + w*k**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 80817355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.3, 1\/2, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2445463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5873*s + 3877 wrt s.\nAnswer: -5873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2026? (a) -2\/5 (b) -631\/5 (c) -0.3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74113 + -38608. Is z a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321258101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdlvydxt. Give prob of sequence ylxt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 12:15 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001000010101100010 + 10100000?\nAnswer: -101001000010011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88\/592681 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9697907.\nAnswer: 9697907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1537500 divided by -37500.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 3*h. Let q(x) = -4*x. Determine 2*j(g) + 3*q(g).\nAnswer: -2*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*b**5*o - 15315*b**3*o**3 + b*o**3 - 5*b*o + 2*o**3 + 12454*o**2 wrt b.\nAnswer: 280*b**3*o - 91890*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3729*m. Let q(j) = -9557*j**2. What is b(q(u))?\nAnswer: 35638053*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25166 - -152?\nAnswer: -25014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 3 = 21*h. Solve 0*i = -i + h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k. Suppose 0 = 2*h - 4*f + 6, -167*h + 170*h + 9 = f. Sort h, k, -1 in descending order.\nAnswer: k, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11)*d)**50\/((d*d*d**2*d)\/d**(-2\/29)) assuming d is positive.\nAnswer: d**(17233\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 407, 813, 1219, 1625?\n\"Answer: 406*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*s*w**4 + 16*s*w**3 + 8*s*w - 3*w**2 wrt w?\nAnswer: -264*s*w + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n - 46*t + 27*t + 22*t - 399 = 0, 5*n = -3*t + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-30) - (-356)\/20. Factor -22\/3*r**4 - 2\/3*r**5 - 54*r - 60*r**2 - h - 92\/3*r**3.\nAnswer: -2*(r + 1)**2*(r + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 653\/68 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 32. Let o(h) = h**3 - 3*h**2 + h + 1. Let d be o(3). Solve -7 = s + 2*r, -d*s + t = s - 4*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 5. Let p = 1 - 6. Let w(c) = 3*c + 6. Calculate p*w(s) - 6*r(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkzkzkkkzzkz. What is prob of sequence kk?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkk. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + 48. Let r be 72\/18*(-3)\/2. Let j(u) = -5*u + 30. Let q be j(r). Calculate the highest common factor of q and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48.2 - -64. Let h = -4.2 - y. Let n = h - -20.1. Do n and -17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 2*y + 1. Let a(w) = -2321*w**2 + 2532*w - 1266. Let u(q) = a(q) + 1266*x(q). Let f be 2\/(-2) + 4\/2. Is u(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -6638?\nAnswer: -6638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(130) - -1*sqrt(130)) + sqrt(130)) - (sqrt(130) + sqrt(130) + sqrt(130)*-1*-3 - sqrt(130)))\/(1*(sqrt(1440) - -6*-1*sqrt(1440))).\nAnswer: -sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 104. Suppose 0 = -4*o + 9 + 7. Solve f = o*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 18*b - 28. Let m(r) = -3*r. What is x(m(n))?\nAnswer: -9*n**2 + 54*n - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 1. Let a(j) = -3*j - 1. Let d = 8 - 10. Let y(k) = -k - 13. Let p be y(-15). What is d*l(t) + p*a(t)?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let h(l) = l**3 + 9*l**2 - 22*l - 3. Let m be h(-11). What is the second biggest value in m, k, 33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 454039*v**4 + 903594*v wrt v?\nAnswer: 5448468*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3975 and 150.\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12607000 rounded to the nearest 10000?\nAnswer: 12610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 6 + 6 = 0. Suppose r = 8*f - 1191 - 217. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-12\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.0507 - 4.\nAnswer: -55.0507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2 - 3 - n**3 - 3*n**2 - 3*n**2. Let p be k(-6). Which is smaller: 1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19672122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 12*i + 20. What is the units digit of j(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801805 is divided by 89067?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 24. Let f = -2 + l. Suppose -4*z = -4, -2*j - f*z = j - 17. Let d(o) = o**2 - 8*o + 6. Determine d(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 703 = 679 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-9)\/2)\/((-2247)\/107)*198\/27.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 4*a**2 - 4*a - 6. Determine h(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3239960468.\nAnswer: 2, 809990117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -503 - -15595\/31. Let g = 97\/62 - m. Let u = -1 - 0. Which is the nearest to u? (a) g (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 505*l**2 - 231*l**2 - 274*l**2 - 30 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1021233 (base 5) to base 7\nAnswer: 100522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 - v - 2. Determine a(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1298541870 to the nearest 100000.\nAnswer: -1298500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/8 - 339*a\/8.\nAnswer: 3*a*(a - 113)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v + 17*v - 269*v - 37444 = -41*v for v.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:15 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 23. Suppose 124*p - 57*p**2 + t*p**3 - 30 + 2*p**3 + 3 - 25*p = 0. What is p?\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + w)*(2 - 2 - 2*w) - w**2 + 7238*w + 250 - 7238*w to g + z*w + s*w**2 and give g.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*q - 267 = -0*n, -2 = -q. Suppose -19 = 9*i - n. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**0\/b)**(-50)*(b\/(b*((b\/b**(-7)*b*b)\/b)\/b))\/b**(-2\/3))**18 assuming b is positive.\nAnswer: b**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 5:53 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 2. Suppose -15 - 5 = -4*s. Let l be h(s). Suppose -l = -3*w - 2. Solve 7*m - 3*m + 18 = w*r, 4*r = 5*m + 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22069, -22063, -22045, -22009, -21949, -21859, -21733, -21565?\nAnswer: -21349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + d**2 - 5*d + 5. Let o(t) = 11*t**2 - 11*t + 11. Let v(x) = -3*x**2 + 3*x - 3. Let k(p) = 2*o(p) + 7*v(p). Give 5*k(b) - w(b).\nAnswer: -2*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 - 7*s + 4. Let x be w(4). Let f(c) = c**3 + 7*c**2 - 10*c - 10. Let n be f(x). Let r be (6\/3)\/(n\/9). Solve -r = -i - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22272 - 22195.144. Let o = 77 - q. Round o to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*w + 8, -3*w + s = 9*w - 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 16 = 2*g - 18, 0 = 5*w + 20. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 6, -43, -3 in ascending order.\nAnswer: -43, -3, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f + 40 = 0. Solve 5*g = -3*y - 0*g - f, -4 = 3*y + 2*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udcyuuc. Give prob of picking 1 c and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 15*l + 1991. Let k be d(-120). Solve -45 = -k*r + 176*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 32 - z - 31.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 c when three letters picked without replacement from uyyekyuyce?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.118658119 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d)**8\/(d**(-2\/5)\/d*(d*d**(-10))\/d) assuming d is positive.\nAnswer: d**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11312515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-39)*14*(-207)\/3864\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a2 (base 14) in base 11?\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.7 (b) -41 (c) -0.4 (d) 0.139 (e) 2 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 2*a**2 - 5*a - 2. Let u be f(-3). Let c = 4 + u. Let y(k) = -k**2 - 16. Let v(j) = 2*j**2 + 24. Let p(m) = c*y(m) + 5*v(m). Factor p(g).\nAnswer: 2*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 1. Let z be d(-1). Let r = z + 8. Suppose 0 = -4*w - r - 18. Which is the third biggest value? (a) -0.5 (b) 8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g - 4*m + 2088, 5*g - 2*m - 2106 = 0. Suppose 43*w = 40*w + 4*r + 316, 5*r = 4*w - g. What is the remainder when w is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*k + 24, 4*k = -z + 94 - 60. Let w(b) = b**2 - 4*b - 19. What is w(k)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-24) + -1*(-708748)\/438. Let v = 791\/584 - h. Let b = -1623 - v. What is the common denominator of b and -61\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 19 + 0)*(-u + 0*u + 3*u) in the form a + m*u and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 0, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36712198 rounded to 4 decimal places?\nAnswer: 0.3671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 833\/3284 + -3\/821. Which is the third biggest value? (a) -26\/3 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c + 2. Let b be 6 + (-4)\/(1 - -1). Calculate o(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let w(r) = -3*r. Let j = 155 + -172. Let f(p) = j*s(p) + 6*w(p). Let c(o) = 2*o. Calculate 2*c(d) + 7*f(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010056 to five dps.\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**25\/(x\/(x*x\/x**(-6\/11)*x)))\/((x\/x**(-17)*x)\/(x*x*x**(-14\/5))) assuming x is positive.\nAnswer: x**(426\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 136823.46 milliseconds?\nAnswer: 2.280391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3229417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45741, -91365, -136989, -182613, -228237?\nAnswer: -273861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005190208271 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/5 - 1937*v**3 + 121388*v**2\/5 + 12623*v = 0 for v.\nAnswer: -4855, -1\/2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8263.\nAnswer: 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let x(m) be the second derivative of m**3\/6 - m**2\/2 + 6*m. Let j be x(4). Solve -h = f, 0*t + 2*t = j*h - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 621, 2527, 5715, 10185, 15937, 22971?\n\"Answer: 641*b**2 - 17*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*s + 6, -5*k + 3*s + 5 = 2*s. Suppose -k*w - 16 + 20 = 0. Solve -5*o - w*m = -3*o - 10, o + 11 = 3*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 10*m**2 + 9*m - 7. Calculate n(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h + 3. Let s(n) = 3*n**3 - n**2 + 11*n + 8. Let o(f) = -11*q(f) + 4*s(f). Suppose 0 = -5*z - 5 + 30. What is the units digit of o(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 not equal to 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*w - 6, -7 = -3*h - h - w. Let t(o) be the first derivative of o**4\/4 - 5*o**3\/3 + 5*o - 4. Let j be t(5). What is the nearest to h in 0.1, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 369\/(-15) - (-9)\/15. Let m(a) = a**2 - 43*a + 4. Let v be m(43). What are the prime factors of (10\/v)\/(g\/(-1728))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 39*j**2 + j - 14. Let w(x) = 22*x**2 + x - 8. Let n(i) = -3*u(i) + 5*w(i). Let z(h) = -3*h**2 + h + 1. Determine 2*n(p) - 5*z(p).\nAnswer: p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-120))\/(28\/252))\/((-2)\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/2406 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r + 1 = 3*q, 0 = -q + 1. Suppose -4*n - 4 = -8*n. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 15*h + 4. Calculate v(-17).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17219685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 7\/14*-1*(-308)\/11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlglvllggglggg. What is prob of sequence gg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -1 - 612\/790. Let b = 40683\/79 + -515. Let o = b + s. What is the nearest to -0.1 in 2\/15, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -14*p. Let i(b) = 71*b**2 + 2*b + 12. Calculate t(i(j)).\nAnswer: -994*j**2 - 28*j - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -120. Does 34 divide y + (-4735)\/(-35) + 8\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/120628 and -107\/61452.\nAnswer: 3256956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3561\/45 + 2\/10 - (-6)\/9. Solve -4*w = h - 104 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/9 - -5\/18. Let b be (4\/2)\/(3 + 1). What is the closest to b in p, 1\/3, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(52) - (sqrt(52) + sqrt(832) - sqrt(52))))\/(3*sqrt(64) - sqrt(4)).\nAnswer: -3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 20566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6789537 or 6789541?\nAnswer: 6789537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2240, -5, 2\/3, -0.041.\nAnswer: -2240, -5, -0.041, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 70718.11 tonnes?\nAnswer: 70718110000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = -2*y, 0*y = 4*y + 20. Let g(j) = j**2 + 3*j + 1. Let p be g(s). Is 11 a factor of (-2 - p)\/(3\/(-57))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(1\/4)*r)*r)**(1\/19)*r*r**4*r*r**(-1\/13))\/((r**(-2))**(1\/5))**(1\/4) assuming r is positive.\nAnswer: r**(29689\/4940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ee2 - 5?\nAnswer: -1ee7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(432)*2*3*6)**2.\nAnswer: 2239488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)*(i*i**(-4))\/i)**(1\/5) assuming i is positive.\nAnswer: i**(-21\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/127? (a) 3\/2 (b) 2\/7 (c) 4 (d) -847\/3 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 373 + -372. Which is smaller: g or 5\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.035 and 3376738159.\nAnswer: 3376738158.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 588, 1182, 1776, 2370?\n\"Answer: 594*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -13 + 9)\/(7\/(-28))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3\/2 - 57321*h**2\/2 + 57315*h = 0. Calculate h.\nAnswer: 0, 2, 19105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:58 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 22 - 58. Let d(u) = -j - 18*u**2 + 10 - 1. Let z(l) = -4*l. Calculate z(d(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68.8 - -71.8. What is the third smallest value in -11, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (9 + -8 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54514914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 103*x = 101*x - 16, -14 = r + 3*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x. Let g(k) = -3*k - 4*k - 112 + 112. Let j(s) = s - 8 + 8. Let o(f) = -g(f) - 5*j(f). Give t(o(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0 + 0*j**3 + 57*j**2 + 3\/20*j**5 + 7\/3*j**4 + 0*j. What is the second derivative of m(z) wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279210076.\nAnswer: 2, 233, 1372543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*t + 72*t = -6127 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41066.\nAnswer: 2, 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/3)*l\/(l**2*l)*l)\/(l**(-22)*l*l\/(l**25\/l)) assuming l is positive.\nAnswer: l**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = -0*v - s, -2*s - 18 = -2*v. Suppose -v = -5*t + 5. Factor -2\/5 + 0*b + 2\/5*b**t.\nAnswer: 2*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40145056.7 - 2.6121\nAnswer: 40145054.0879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9308664*l**2 + 1190*l - 146 wrt l?\nAnswer: -18617328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -26*i**2 + 969*i + 727. Determine t(38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3353181 months in years?\nAnswer: 0.027943175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 6:19 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -275 at most as big as -276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49999977 - 0.5. What is f rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3394650 and 62010?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 7*c**4\/2 + 7*c**3\/3 + 226*c + 257. Differentiate a(b) wrt b.\nAnswer: 42*b**2 + 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 1. Let a be l(-4). Suppose 10 = a*g - g. Suppose 0 = -5*y + 160 - g. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16264 - -6*1\/(-2). Let v = r + -357837\/22. Let f = -73\/9 - -1189\/90. Find the common denominator of f and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -276042 and -0.851?\nAnswer: 234911.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*b - 5*b. Is 8 a factor of 29\/2*b\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 4*y + 9. Let q = y + -6. Let g be 88\/(-20) - q\/(-5). What is the nearest to -2\/7 in g, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -528 - -538. Let u = 109 - 29. What is the greatest common divisor of m and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -28*r + 317. Let f be a(10). Solve -f*t = -33 - 78 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43, -156, -269, -382, -495?\n\"Answer: -113*j + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 186\/(-279)*462\/(-8) and -30\/1601.\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*k**2\/9 + 202*k\/9 + 4.\nAnswer: 2*(k + 9)*(11*k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-18)*3\/(-2). What is the smallest value in 0.3, t, 0.2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 112914 = 6*x - 2*x, -7*x + 2*r = -197610. What is x rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:51 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:22 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1924.\nAnswer: 7696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = l, -5*l - v + 1 = -7*l. Solve l*s - 1 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 28*v**2 + 9*v + 3. Let c(p) = -10*p**2 - 3*p - 1. What is 11*c(f) + 4*k(f)?\nAnswer: 2*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2027278 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:38 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 0 + sqrt(5) + -5).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 2*k = -45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 44722.\nAnswer: 4\/22361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(6) + 2)**2 + (-2*sqrt(30))\/sqrt(10).\nAnswer: 2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 194.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -l - 5*w, -2*w + 2 = 2*l + 6. Let s be 1*2\/l*75\/10. Solve -4 = -4*m + s*r, -3*m - 4*r + 1 + 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/7 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 7*p**2 + p + 1. Give w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -60111*w**2. Let z(c) = -c. Determine z(d(y)).\nAnswer: 60111*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2142 and 724812?\nAnswer: 15221052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11964 + 12172. What is the closest to -3 in 0.5, -3\/5, v?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -483.99 - -484. Which is the nearest to 4\/9? (a) -1\/5 (b) n (c) 3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 1. Let g be n(1). What is the tens digit of (-38)\/(-4) - 1\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1390*r**2 + 17*r + 6. What is the remainder when y(-2) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Suppose x = -p - 2*p. Solve 3*a = -2*k - 7 - p, 0 = -k - 4*a - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-14) - -2 - 133\/(-294). Let h = 213.58 - 213.5. Which is the biggest value? (a) h (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let g(h) be the third derivative of 1\/3*h**3 + 0*h**4 + 1\/120*h**5 + h**2 + 0 + 0*h. Let u(z) be the first derivative of g(z). Determine q(u(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 8*m - h + 83, -3*m = 3*h - 60. Let o = 10 + 47. Let f = o - m. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1924\/65)\/(2\/(-10)). Let r = 143 + n. What is the third biggest value in r, 7, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68691.\nAnswer: 3, 7, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*m + 352*m = 224. Solve -16 = 9*v + m*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/6, -141, -104, 2\/5 in ascending order.\nAnswer: -141, -104, -35\/6, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69\/4107820 or 1?\nAnswer: -69\/4107820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 138*c - 26. Let b be i(20). Find the second derivative of b*s**5 - 2719*s**5 + 106*s - 8*s wrt s.\nAnswer: 300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 + 164. Calculate the remainder when b is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/14*1*(4\/(-42))\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/60 + h**4\/24 + 11*h**3\/6 - 20*h**2. Does 18 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/650590 and 59\/8772.\nAnswer: 3903540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, -2\/13, -2\/9, 4\/7, 0.5 in descending order.\nAnswer: 4\/7, 0.5, -2\/13, -2\/9, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1803 or 1817?\nAnswer: 1817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002511119251 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 34*f + 111. Let n be q(-37). Let l(t) be the third derivative of -1\/12*t**4 + 0*t + n - t**2 + 1\/3*t**3 + 1\/60*t**5. Determine l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k + 46556 + 51993. Calculate the greatest common factor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -61*k**2. Let v(p) be the third derivative of p**4\/12 - 35*p**3\/6 - 5860*p**2. What is i(v(c))?\nAnswer: -244*c**2 + 8540*c - 74725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.2\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 1, w: 1, z: 6, k: 1, u: 4}. What is prob of picking 1 z and 2 u?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-52)*39*((-440)\/(-5))\/2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 3*c - c)*(-3272*c + 8*c**2 + 3291*c + 15*c**2) to the form r*c**3 + g*c + i + l*c**2 and give r.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1724 - 3469. Let a = -19236\/11 - h. Let f = -5137\/210 + -4\/105. What is the common denominator of a and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c - 28*c + 770 = 32*c. Calculate the remainder when 1469 is divided by c.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3 + 4 + 0 + 45*m to the form n + o*m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2)*(-57)\/266*14\/(-32)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37128)\/(-44982) + 15\/(-21)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -98, -148, -198, -248, -298?\n\"Answer: -50*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {m: 1, r: 1, j: 2, k: 1, c: 2, s: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*g - 117, -2*g - 2*u = -3*u - 78. Let i = g - 23. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81767 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 9:11 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -17\/24 (b) 5 (c) -5 (d) 2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + q)*(-524 - 1096 - 998).\nAnswer: 2618*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most -2\/233455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -139, -148, -177, -232, -319, -444, -613?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 1 - (-14 - -29)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/3 + 12370*d**2\/3 - 232032*d - 994080 = 0. What is d?\nAnswer: -12426, -4, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 12 in descending order.\nAnswer: 12, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -123022, -246019, -369016, -492013?\n\"Answer: -122997*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1 - (-5 - -6). Suppose 3*l = -u*j + 71, 5 - 80 = -3*l - 3*j. Let p = 419 + -272. What is the highest common divisor of p and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 + -3) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39301*a**6 + 4*a**4 + 2485*a**2 - 12*a.\nAnswer: 4716120*a**3 + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00149 take away 0.4?\nAnswer: -0.39851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132495626.\nAnswer: 2, 19, 3486727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38760038 to the power of 1\/2, to the nearest integer?\nAnswer: 6226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*50\/(-16) - 630\/2160*-24\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1476 and 308496.\nAnswer: 37945008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -15, 9\/4, 83623?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {l: 7, o: 5, y: 4, c: 2, j: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -280*t**2 - 7 + 31 + 7 + 189*t**2 to the form k*t + r*t**2 + x and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968948 is divided by 161489.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 y, and 1 x when three letters picked without replacement from {z: 2, x: 2, i: 1, w: 8, y: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100.7*-7764.2.\nAnswer: 781854.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 237913, 951632, 2141163, 3806506, 5947661?\n\"Answer: 237906*x**2 + x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28910*a + 14457*a + 14442*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48553?\nAnswer: 23, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**16\/(a**(-1)*a**(-7)) assuming a is positive.\nAnswer: a**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*a + 2255 + 2211 = 0 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/7))\/k*k*k**(5\/2)*k*k*k*k assuming k is positive.\nAnswer: k**(111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 3*w - 4*w)*(0 + 2 + 1) - 4*w + w + 5*w + (0*w - 2*w + 4*w)*(1 + 0 + 1) - 39 - 10*w + 39 as z*w + g and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s + s**3 - 4 - 2*s**2 + 1 - 4*s**2 - s**2. Let h be b(8). Solve -y - h = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -354630 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 26*h + 134 + 9*h + 1. Let o be r(5). What is the highest common divisor of 248 and o?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, h: 2, w: 6}. Give prob of picking 2 c and 2 w.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 98749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 71*d + 152. Let b be o(35). Calculate the highest common factor of 119 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*i + 2554, 0 = -2*a - 360*i + 355*i + 1672. What is the smallest common multiple of 12 and a?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12 greater than or equal to -2024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 391 + -256. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j**3 - 3910*j**2 - 3152*j - 632 = 0. Calculate j.\nAnswer: -2\/5, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 + 205. Calculate the remainder when k is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 28*p**2 - 144*p + 75. Let i be d(-22). Put 5, -2, i in increasing order.\nAnswer: -2, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x = -65*x. Solve 2*k - 7 = -z, 3*k + 2*z = -x*z + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r + 13*r = -1051 + 245 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j - 3*w = 13, 0 = 3*j - 5*w + 5. Let k(d) = j*d + 6*d + 6*d - 18*d - d. Let v(x) = 63*x. What is k(v(b))?\nAnswer: -126*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 4. Let s(h) = 483 - 480 + 4*h - 3*h. Let d(a) = -4*s(a) - 3*w(a). Let p(x) be the second derivative of x**3\/6 + x. What is d(p(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 315?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2966 - -629. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14142 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75928133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93539\/3 - -31178. Put t, -4, -3\/5, -5, 49 in increasing order.\nAnswer: -5, -4, t, -3\/5, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-242)\/(-8) - (-2)\/(-8). Let l = b + -10. Calculate the lowest common multiple of l and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (31\/((-93)\/(-2)))\/(5\/1602). Is w at least as big as 214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 586847968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 811515.1 millilitres?\nAnswer: 811.5151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33111 + -6915. What are the prime factors of p?\nAnswer: 2, 3, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 38. Suppose 35 = 4*w + x. Let u = -907 - -910. Solve -2*g - u*g + 5 = 5*y, y - 3*g = w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 113*t. Let l be v(-1). Let w = l - -166. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*x + 3*x. Let r = x + -18. Let k = r - 11. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 2\/(-2))*(6 - -45)\/(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 270*z - 534. Let c be w(-2). Solve -6*o = -2*j - 2*o - 14, 3*j = -c*o + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2347150142 to the nearest integer?\nAnswer: 48447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 81 = 4*j, -4*j = x - 30633 + 30604 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -12. Let h(l) = -8*l - l + q*l - l. Let v(k) = 2*k**2. Calculate h(v(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*c + 91*c + 4956 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 3*y**2 - 16*y + 96. Calculate the least common multiple of 24 and d(6).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -56, -2.8, -5.7, 4 in ascending order.\nAnswer: -56, -5.7, -3, -2.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2*g**2 + 6 + (-1 + g + 1)*(-5 + 5 - 2*g) - 3*g**2 - 3*g**2 + 4*g**2 - 4 + 4 + 2*g**2 - 3*g**2 - 2*g**2 + 3*g**2 to z*g**2 + x*g + k and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 3\/2, 4\/3, -3, 4, 5.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93*w**3 - 2 + 417*w**2 + 4 - 416*w**2)*(23*w - 3*w + 2*w) to the form f*w**2 + c*w + d + q*w**3 + m*w**4 and give c.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 - 488*t - 6209. Let c be h(-14). Let d be 5*(118 + (-1)\/(-1)). What is the highest common factor of d and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*f**5 + 4*f**4 + 16*f**3 + 45005*f.\nAnswer: 2420*f**3 + 48*f**2 + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:53 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s*s**(-1\/4))*s*s*s**(-1\/4)*s*s)\/(s**(1\/2)*s**(3\/2)\/s))**(-24) assuming s is positive.\nAnswer: s**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.256 rounded to zero decimal places?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1155450386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/8))**47 assuming v is positive.\nAnswer: v**(-235\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626 - 644 - 354 = -31*r. What is the smallest common multiple of 744 and r?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*x + 17, -o + 2 = -x + 1. Solve -x = 3*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y - 25*y = -6451755. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 (base 8) in base 5?\nAnswer: -2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 248.3 + -248.6. What is the smallest value in 58, o, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 15. Let l(p) = -p + 7. Give -7*l(q) - 3*n(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 20*r - 106. Let u(a) = -5*a + 36. Calculate -8*u(g) - 3*w(g).\nAnswer: -20*g + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*f + u + 944, u + 1888 = -4*f. Let q = f - -521. Calculate the remainder when q is divided by 47.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.1. Let k = -2.2 + 62.2. Let u = 61 - k. What is the nearest to o in -4, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2 + 31*o + 2. Let l be u(-5). Is 18 a factor of (-115)\/1*(l - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 + 101. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -30\/11, 3, -0.4, -106, -3\/5, -5\/4?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:58 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 2)*(-5 + 2 + 1)*(-5*s + 5*s + 2*s) - 3*s + s + 5*s to the form q*s + p and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 + 63*l**2 - 215*l - 15. Determine g(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2)*s*s*s\/(s\/(s\/(s\/(s*s**(-2\/3)))))*(s**1*s)**(9\/8))\/(s\/(s**(-1\/4)\/s)*s**(-2\/3)\/s)**(2\/73) assuming s is positive.\nAnswer: s**(3125\/876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018206419 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 11) to base 16\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 8*s - 2. Suppose 0 = 7*m + 207 - 186. Calculate k(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 226*b + 1528. Give n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1240 + 3*k**2 + 5*k - 5*k.\nAnswer: 3*k**2 - 1240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*d**2*l**2 - 133*d**2*l + 104277*d - 326778*l**2 wrt l.\nAnswer: -68*d**2 - 653556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 594473076 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 40*f**2 + 351*f - 2. Determine k(12).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2. Let m(g) be the first derivative of 1 - 1\/3*g**3 + 0*g + 0*g**2. What is f(m(n))?\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-4714.\nAnswer: -4242.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + w = -4*w. Solve w = 73*j + 62 + 157 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 4*y. Let m be x(2). Sort -20, m, 5.\nAnswer: -20, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81, 30, -25, -84, -147, -214?\n\"Answer: -2*d**2 - 45*d + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12997+0.133\nAnswer: -12996.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 13 - -3 - (-5 - -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 942, -1, 2, -5, -3 in increasing order.\nAnswer: -5, -3, -2, -1, 2, 13, 942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {m: 2, b: 3, h: 8, g: 7}.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 3. What is the closest to c in 2\/9, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 q when three letters picked without replacement from vqqvvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302213 - 3002102?\nAnswer: -2033223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = -16. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-16) + (0 - (-1)\/4). Suppose a = 2*v - 5*o - 93 - 273, 0 = v + 2*o - 192. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100572 and 68.\nAnswer: 100572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.9155 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-2*-3 + (sqrt(50) - (sqrt(50) - (sqrt(150)\/sqrt(3) + sqrt(50))*4)) + sqrt(50))\/(sqrt(180)\/sqrt(2)*5) + 0.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100771.\nAnswer: 11, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + (-735)\/9. What is the remainder when 39 is divided by (-14)\/70 + f\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -70. Let u(l) = -2*l + 1. Calculate u(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 27 + 50 + 53*n**2 - 23.\nAnswer: 53*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -606349 divided by -943?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 17. Determine a(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -834\/6139, -1, -0.1?\nAnswer: -834\/6139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 5 - 1\/14*o**2 + 0*o - 1\/21*o**3. Factor i(u).\nAnswer: -u*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 + -54. What is the greatest common divisor of 1416 and a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) + 1*sqrt(132) + sqrt(132))*1)\/sqrt(12).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/21)\/((-32)\/48). Sort 0.1, -0.2, c in descending order.\nAnswer: c, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 3)\/((-21)\/12 - -2). Let b = q - -17. Calculate the smallest common multiple of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let b be i(1). Sort 1, -2, 7, b in decreasing order.\nAnswer: 7, 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*h**3*k*w - 4869*h**3*k + h**3*w - 9*h*k*w*y + 232*h*k - h*y - 6*w wrt w.\nAnswer: 35*h**3*k + h**3 - 9*h*k*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -103, -174, -245, -316, -387?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 310 = -18 + 184. Calculate the highest common divisor of d and 1343.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 4*c**2 + 0*c**3 + 1\/12*c**5 + 0*c + 0*c**4 + 0 - 1\/60*c**6. Find the third derivative of h(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 575910, 2303572, 5183016, 9214248, 14397274?\n\"Answer: s**3 + 575885*s**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {o: 1, r: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3084997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.08 + 5.92. Which is the second biggest value? (a) -0.2 (b) n (c) 0 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-17)*16\/24.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2699468 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 6:40 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 31) + 22 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1269 and 83.\nAnswer: 105327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/357)\/((-10)\/28)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.41 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*j + 4 = -k, 3*k - 2*j - 10 = 0. What is the lowest common multiple of k and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n*n**(6\/13)*n*n)\/n*n*n)\/n*n)\/n)\/n)\/n*n*(n*n**27*n)\/n assuming n is positive.\nAnswer: n**(409\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 23*i = -35. Let g(k) = 8746*k**3 + 2*k**2 + 6*k - 18. Let d be g(i). What is d rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*i - 2510, 2*u + 922 = -2*i + 5982. List the prime factors of u.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*k*p**3 + 278*k*p + k + 267290*p**3 wrt k?\nAnswer: -6*p**3 + 278*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/5, 39, 2\/9, -4, 3.31?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160561 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 123*s - 32*s - 1.\nAnswer: -155*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1582 - -672. Round u to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*-3)*6 - (3*(-6*sqrt(133) - sqrt(133)) - sqrt(133)))\/((sqrt(4032) + 4*sqrt(4032))*1).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4) + 2\/(-4). Suppose -4*d + 24 = -2*p + 6*p, -3*p - 4*d + 16 = 0. Calculate the highest common factor of l and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**16)**(1\/3)\/(g**(-6))**(-5) assuming g is positive.\nAnswer: g**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/(t\/(t*t**(-8)*t)))**(-2\/79) assuming t is positive.\nAnswer: t**(22\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = n - 5*n + 5*r, 2*n - 3*r - 16 = 0. What is the common denominator of -4 - n\/72*-62 and 29\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44328810 rounded to the nearest 100000?\nAnswer: 44300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.005 + -72.005. Let x = 20 + l. Let w = x + 55. Does 0.2 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1855 = 17*h - 12*h, d + 5*h = 905. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/6)\/(i\/(i\/i**(-8\/5))*i))\/(i*i**(6\/17)\/i*i*i\/(i\/((i\/i**2)\/i)*i)) assuming i is positive.\nAnswer: i**(1741\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -282 - -300. Let j be 3 + 6 + (-102)\/n. Factor 14\/3*s - j*s**2 + 2\/3*s**3 - 2.\nAnswer: 2*(s - 3)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-285)\/2*4\/3. Let g = -1732 - -1131. Let n = w - g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 7*p - 4. Let g be s(6). Suppose -5*x + 169 = -i, -4*i + 31 = -g*x + 95. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 5*k + 2. Let a be (-2 - -1)\/((-3)\/12). Let o be g(a). Solve 0 = 4*v - o*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:47 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143360 - -294360. What is i rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1794*s**2 + s - 1835.\nAnswer: 3588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 312*l*w**3*z**3 - l*w**3*z**2 + 1598*l*w**2 - 90*l*w*z**3 + 3*l - w*z**2 wrt z?\nAnswer: 1872*l*w**3 - 540*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 4214053.\nAnswer: -5\/4214053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005074272 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b - 3. Let w = 23.73 - 24. Let r = w + -0.13. What is the biggest value in r, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 1:22 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**21*t)\/(t\/(t\/t**(1\/32))))\/(t*t\/t**(-30))**24 assuming t is positive.\nAnswer: t**(-23841\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2240) + sqrt(35))\/(6*sqrt(343)) + 2.\nAnswer: -23*sqrt(5)\/42 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + k - 151 = 6*p, 155 = -5*p + 5*k. What are the prime factors of (-1244)\/(-3) - 10\/p?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 128 - 85)*(-y + 4*y + 2*y)*(y**4 - 6*y**4 - y**4).\nAnswer: 4050*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 27. Let x be z\/(-15)*(-18)\/40. Is 0 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 3*a - 3*a)*(-15376*a + 56504*a - 301905 + 28968*a - 301905 + 603812) to the form f + y*a**2 + m*a and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -894, -895, -896, -897, -898, -899?\n\"Answer: -z - 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 867 - 669. Suppose -2*c + 11 = -27. Let z = j - c. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g - 2. Let s be p(4). Suppose 3*f + 2*t - 24 - s = 0, -2*t + 14 = f. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnnb when four letters picked without replacement from {n: 4, u: 1, p: 3, f: 2, b: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -16. Suppose -378 = -18*g + 4*g. What is the highest common divisor of a and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - a)*(2 + 2 - 10) - 4*a + 0*a + 6*a + (-4*a + 5*a - 3*a)*(-3 - 3 + 4)*(4 + 0 + 0).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(1\/11))**(-3\/22) assuming b is positive.\nAnswer: b**(-48\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 17 + 390 - 49*c**2 - 368 in the form h*c**2 + s*c + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 14*r**2 + 2*r - 30. Let y be m(14). Let j be (-4)\/8*4 - y. Solve -n + 5*i - 13 = -j*n, -3*i = -6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2*-5)\/((-2)\/12). Solve -g = -13 + r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4309*d**3*k + 430*d*k - 6*k + 1 wrt d?\nAnswer: -25854*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-3*v**2 + 3*v - 3*v - v**2 - 2*v**2 + v**2 + (v - 2*v + 2*v)*(-v + 3*v - 3*v) + 4*v**2 - 3*v**2 + 15*v**2) as p*v**2 + d*v + t and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.1 - -22.2. Let m = -166\/3 + 56. Let y = -0.03 + -0.37. Which is the second biggest value? (a) m (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -5*z**4\/3 + 153*z**2 - 1937*z. Let y(x) = 2*x**2. Give y(l(k)).\nAnswer: 800*k**4 - 24480*k**2 + 187272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 28*h**2 - 98*h + 48. Calculate x(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -3 - (0 + -5). Suppose -o*w = -7*w + 112. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2739 + 0.3339. Let m = 18\/17 + -94\/153. Put m, -3, c in increasing order.\nAnswer: -3, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + 2*a)*(-2 + 2 - 2*a) + 3*a**2 - 5 + 5 + (3 - 1 - 1)*(0*a**2 - a**2 - 7*a**2).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1071 and -52\/255.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 5*b - 4, -5*o - 5*b = -7*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = v - 8, -2*v + 3 = z - 6. Suppose -v*u - 5*s = -s - 8, 0 = -2*u + s + 7. Let c(x) = x**3 - 2*x**2 - 5*x + 4. Determine c(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53, -79, -129, -215, -349, -543, -809?\n\"Answer: -2*h**3 - 12*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -7575\nAnswer: 15150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -27. Factor -12*j**v - 5*j**3 + 0*j**3 - 3*j**3.\nAnswer: -4*j**3*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (179 + -7 - 6)*201\/6. Calculate the greatest common divisor of 83 and z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 5*a**3 + 4*a**3 + 6*a**3 - 2*a**3 - 2*a**3 + (a**3 + 2*a**3 - a**3)*(1 + 1 + 0) + 0 + 0 - a**3 + (35*a + 9*a**2 - 35*a)*(7*a + 7*a - 7*a).\nAnswer: 70*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 15*r - 20*r. Calculate the least common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1995 and 210615.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 y, 1 x, and 1 n when four letters picked without replacement from {y: 4, c: 7, o: 1, n: 4, x: 1}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64505 and 48678.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 2*v - 2*v)*(-38 - 2*v + 38) to the form z*v + y*v**2 + a and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4500 divided by -6\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = -8. Let k be (-7)\/(42\/(-4))*a. Suppose -6*c + 64 = -k*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1850384 is divided by 45.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 8*u - 4. List the prime factors of h(12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6325240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*v = -9, v - 3*v + 9 = -3*k. Let c = -99 - -99.4. What is the nearest to 1 in c, 2, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1167024 and 7128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7646 = 33*k + 7613. Let m(r) = r**2 + 2. Let w be m(0). Let s be 1\/w + (-434)\/852. Is s >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + j**2 - 2*j**2 - 7*j**2 - 3*j**2.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 40*h + 42. Let l be f(-21). Let y(v) = v**3 + 2*v**2 + 3*v + 100. Let d be y(l). What is the greatest common divisor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/(-84) + (-9 - (-265)\/30). Which is the nearest to y? (a) 0.07 (b) -3 (c) -1\/4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 5*n**2 - 2*n + 9. Determine l(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3371\/36 - -375\/4. Let v(i) be the third derivative of 0 + 0*i + 1\/180*i**5 + 1\/72*i**4 + 11*i**2 - f*i**3. Factor v(t).\nAnswer: (t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 2*r - 1. Suppose 4*v - 2*n = -3*n - 17, -v + 12 = -3*n. Determine l(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3*n + 5*n)*(-4*n**2 + 2*n**2 + n**2) + 12*n**3 - 72 + 72 + (3*n**2 - 4*n**2 + 0*n**2)*(-4*n + 6*n + 0*n) + 4*n**2 - 4*n**2 - n**3.\nAnswer: 7*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*g - 14. Suppose -2*t = -3*h + 92, -h + g*h = t + 32. Suppose -a - 26 + h = 0. What is the remainder when 5 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = -2*q, -2*q + 0*q = -b - 9. Let l(s) = s**2 + 2*s - 2. Let v(r) = -r**2 + r - 1. Give b*v(a) - l(a).\nAnswer: -2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n. Let u(j) = -80*j - 80*j + 154*j. Give y(u(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Let r be t(3). Let n = r + 8. Let f = 14 + -2. Solve -4*v - 20 = 0, 2*p - 3*p + f = -n*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.039 and 2355769.\nAnswer: -91874.991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -10. Let m(a) be the second derivative of -1\/2*a**2 + 0*a**5 + 0 + a - 1\/15*a**h + 0*a**4 + 0*a**3. Differentiate m(z) with respect to z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -392605*k*r + 262107*r wrt k?\nAnswer: -392605*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/15 - 2678*i**3\/15 - 21554*i**2\/15 + 2678*i\/15 + 7184\/5 = 0. What is i?\nAnswer: -8, -1, 1, 1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -236608*v**3 - 69553*v**2 wrt v.\nAnswer: -1419648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/2 - 1) + -1. Let h be d\/13 - 112\/455. Let b = 6 - 5.8. What is the closest to b in h, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 18. Let o be n(12). Let v be (-8)\/o*3*140. Let r be (-2)\/(-7) + (-60)\/v. Which is the third smallest value? (a) 2 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*n - 14*c**3 + c**2*n - 469*c**2 - 815766*c*n + 2*c wrt c?\nAnswer: 12*c*n - 84*c + 2*n - 938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -9.87\nAnswer: 10.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16966490.\nAnswer: 2, 5, 1696649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 300, -0.4, -2, 1\/4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 5*o**2 + 6*o + 6. Let x be z(-4). Suppose -2*r + 3*t = 66, 5*r = 2*r + t - 113. Is (1 + 0 + r)\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 45 = -141. Let g be (5 + 48\/(-9))\/(r\/(-72)). Which is the third smallest value? (a) -2 (b) g (c) -0.021 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -18, -83, -218, -447, -794, -1283?\n\"Answer: -4*j**3 + j**2 + 6*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2497*i + 20042. Give k(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 13. Let o be (3 - (-8)\/s)\/((-4)\/(-2)). Which is the closest to o? (a) -5 (b) 1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/9 + 254*y**3\/9 + 260*y**2\/3.\nAnswer: -2*y**2*(y - 130)*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 100.652816 and -2.225.\nAnswer: 98.427816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 - 60*p - 256. What is the remainder when 927 is divided by q(-12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10672404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5139, 12696, 20251, 27804, 35355, 42904?\n\"Answer: -o**2 + 7560*o - 2420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 + 2*f + 148. Does 17 divide g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, 8, 2, -11, -4, -3, 41 in increasing order.\nAnswer: -11, -4, -3, 2, 8, 41, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.328 * -0.3.\nAnswer: 0.0984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 639*m - 742*m - 399*m.\nAnswer: -502*m - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 15.3, 1\/4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007635 rounded to 5 dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s + 23. Let g be k(4). Let j(z) = -z**3 - 7*z**2 - z - 3. Let y be j(-7). Let u be (-4)\/(-8) + 6\/y. Put g, -4, 4, u in decreasing order.\nAnswer: 4, u, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/10*(-90980)\/72784.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2893.34995 rounded to 0 decimal places?\nAnswer: -2893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.566 in 2\/15, -8, -0.0032?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-3) + -1804*4\/(-24)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000092 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 567283621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 35426315?\nAnswer: -35426314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5217 - -3488?\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1458 and 171009.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14707149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11912886.\nAnswer: 2, 3, 17, 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-37)\/3)\/(-1))\/((-9)\/(-54)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b - 4*b + 3*b)*(4*b - 3*b + b) - 105 - 25*b**2 + 105)*(-196 + 50*b**3 + 196).\nAnswer: -1450*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29936407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = q + 11, g - 49 = -4*q - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 5*o**2 + 0*o**4 + o**4 + (2*o**3 + 0*o**3 - o**3)*(-3 + o + 3) + 4*o**4 - 4*o**4 + 3*o**4 - 20 - 30*o**4 + 20.\nAnswer: -25*o**4 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 636 = 4*z - 1699, -5*a - 15 = 0. Calculate the remainder when z is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 4*o**2 + o**4 - 7*o**3 + 3 + 7*o**3 in the form g*o**4 + q + d*o + j*o**3 + l*o**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-12 - (31 + -17)) - (-2 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**3 + j. Let n be x(-1). Suppose -5*y - n*d - 10 = 0, y + y + d = 0. What is the third derivative of 4*h**3 + 0 - 12*h**y + 0 + 11*h**2 wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**4\/24 + 25*d**3\/6 - 13*d**2. Let f be p(20). Solve 3*w - 3*o = 5*w - 16, 5*w + f*o = 30 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1058 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2403 (base 8) to base 4\nAnswer: 110003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + sqrt(48))*-2 - -6*(sqrt(48) + -3)**2).\nAnswer: -1700 + 760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -205 - -127. Let g = f - -87. Let p(r) = r**3 - 8*r**2 - 6*r - 8. What is p(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (23 - (2 + -1 - (10 + -14)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1149 + -1044. What is the greatest common divisor of 490 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376431, 376426, 376417, 376404, 376387, 376366, 376341?\nAnswer: 376312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 147918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -166*j**3 + 12*j**2 + 6*j - 17. Let i be v(7). What is the tens digit of i\/(-60) - (-3)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 6*g + 12. Let i be c(4). Suppose i*a - 74 = 2*a + 5*m, -a + 5*m + 37 = 0. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 503233 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j - 5. Let p be u(-2). Let g = p + -10. Suppose -3*c - 5*r + 188 = -157, -c = g*r - 111. Calculate the greatest common divisor of 48 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89739409 to the power of 1\/2, to the nearest integer?\nAnswer: 9473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 14*t + 11. What is f(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*((-1 + 5 - 5)*(2 - 1 - 3) - 3 + 3 - 1 - 3 - 4 + 6 - 97 + 42 + 50).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4437 and -64\/326043.\nAnswer: 9455247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 326 = -4*b, -150 = 2*b - 4*b - 4*n. Calculate the remainder when b is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23802422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/12 - 4*o**3\/3 + o**2 + 4*o. Let c be w(11). Suppose 5*y = x + 4*x + c, 5*x + 23 = -y. Solve 8 = 2*k - y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let o(x) = 11*x - 2. Let c(u) = o(u) + 5*t(u). Give c(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/182*245\/175 - 1089\/(-15)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 1, d: 1, i: 4, v: 2, t: 2}. Give prob of sequence iv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - -36) + 13 - (-3 + 20 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -s + 2*g + 169, -g = -2. Suppose 3*f = -0*f - s. Is 19 a factor of f*(4 + (-56)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5 = -c. Let m be (-3)\/c - (-9)\/(-15). Suppose 2*t + 3*t = m. Are 0 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -45*v**2. Let g(n) = 488*n**2. What is l(g(u))?\nAnswer: -10716480*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:26 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23527 - 205?\nAnswer: -23733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h - 1. Suppose 0 = -h*c - c + 3. Let z = c + 5. Calculate the smallest common multiple of z and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 22, -1\/6, 109?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8*m = -9. Suppose -d + m*d = -8. Let c be (-19)\/(-2) - (-2)\/d. Solve 5*y + 0*y + c = -j, -2*j = -2*y + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*10807.1.\nAnswer: -2161.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 3*l + 8. Let k(q) = 16 + 10 - 25 + q + q**2. Let x(f) = -j(f) + 3*k(f). Give x(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**8\/1680 - n**7\/525 + n**5\/150 + n**4\/120 + n**2 - 28*n - 96. Let a(m) be the second derivative of y(m). Factor a(q).\nAnswer: -q*(q - 1)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691607.9t to kilograms.\nAnswer: 691607900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.275.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61812 + 100*h - 20608 - 20598 - 20606.\nAnswer: 100*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j*k**5*m + 862306*j*k**4 - 97*j*k**2*m + 4*j*k**2 - j*m + 385*k**2 + 2*m wrt k.\nAnswer: 360*j*k**2*m + 20695344*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 11*k = -14*k - 29, 4*a - 2*k = 38. Let c(f) = -5*f**3 - 6*f**2 - 7*f + 7. Let x(i) = -2*i**3 - 3*i**2 - 3*i + 3. Give a*x(g) - 3*c(g).\nAnswer: g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*a + 14 = 0, -a - 18 = -0*u + 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:34 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5419 + -5414. Let h be -4*1*6\/8. Sort 14, o, h in ascending order.\nAnswer: h, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7)**(-26)*((w**27*w*w)\/w)\/(w**(-1\/9)*w) assuming w is positive.\nAnswer: w**(-1394\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -2, 5, 4, 252 in ascending order.\nAnswer: -86, -2, 4, 5, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1285 - -1304) + (2 - 1) + 3 + -4 + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 153 + 13 = 0. Let p(n) = -3*n - 10. Let r be p(-5). Solve 0*u + d = r*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538 (base 13) in base 2?\nAnswer: -1101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (-1 + sqrt(1872) + sqrt(1872))*6).\nAnswer: -40 + 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:18 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14 - 7 + 13*u + 10 wrt u.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**3 - 5*v**2 - 2*v. Let l(p) = -2*p**3 + 5*p**2 - 2*p. Let j(f) = -2*f**3 + 4*f**2 - f. Let k(i) = -3*j(i) + 2*l(i). What is 2*a(w) - 5*k(w)?\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2223*k + 3276 wrt k.\nAnswer: -2223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.10447 seconds in hours?\nAnswer: 0.030584575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 11460.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2*d + 3*c**2*h**3 + 7*c**2 - 505*c*d*h**3 + 10*c + 2*d*h**3 + 91*h**2 wrt d.\nAnswer: -2*c**2 - 505*c*h**3 + 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/15 (b) -3 (c) -1.69 (d) -5 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100 + 100111110010?\nAnswer: 101010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 231*m + 3252 - 3252 - 231*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069.35 rounded to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 14 - 3)*(-3*c**4 + 0*c**4 + c**4).\nAnswer: 24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 77\/3. Let c = -78\/5 - -536\/35. Let p = -13 + 15. What is the second smallest value in n, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p + 5. Let k be n(-1). Sort k, 5, -3 in ascending order.\nAnswer: -3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -u + 8. Let c be 4*3*2\/u. Suppose -o + 15 = c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2067 - -4570. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*p = -318*p - 7*g + 34, -2*p + 5*g - 7 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.31 times -75580?\nAnswer: -552489.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-15) - 8\/10. Which is the second smallest value? (a) -5 (b) -1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/7091 and -36\/430525.\nAnswer: 3013675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-25)*-10 - -68. Suppose 0 = -5*f + 704 + c. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from eepeu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.55394 and -0.2.\nAnswer: 0.310788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10200 - -27920. List the prime factors of n.\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -19.94. Let w = v - -0.16. Let n = -0.088 + w. Round n to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-120)*-6*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*-3*8\/72*(-60)\/(-350)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, 0.09, -3\/4, 1\/2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 99. Determine t(5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618830181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 161*v**3 + v**2 - 162*v**3.\nAnswer: -v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, c: 2, a: 4, j: 7, r: 2}. What is prob of sequence sacc?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -35. Let x(s) = -2*s + 14. Let t be x(n). Let v(l) = -l**2 + 5*l - 2. Calculate v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 20. What is the greatest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*m - 84 + 84)*(m**2 - 8029 - 4*m - 3*m**3 + 8029) to l*m**3 + x*m + q*m**2 + h*m**4 + b and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 34*w\/3 - 289\/3.\nAnswer: -(w - 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 + -1.6. Which is the third smallest value? (a) 5 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 242190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t - 28 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4 + (sqrt(153) - (sqrt(153) + -3)) - sqrt(153)) + -5)**2 + -1.\nAnswer: 6*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-14) + (-10)\/(-4). Suppose -5*v = -k - 21. Suppose 4*n = 2*l - 28, n - 2*n + 15 = 5*l. Sort n, v, 1.\nAnswer: n, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60.2 - 60.0506. Round n to 3 decimal places.\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*a - 647 = 3572 + 4247 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5 - 5*w + 25*w**2 + 5*w + 8. Let p(r) = -r**3 + 65*r - 6. Let d be p(8). List the prime factors of z(d).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*a**3 + a**2 + 73*a**2 + 2*a**4 - 37*a**3 - 3 to the form x*a**3 + n*a**4 + b*a + c + f*a**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -213.738.\nAnswer: -17.09904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 - -5489450?\nAnswer: 5489483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 10}. What is prob of sequence tlt?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (2 - (-17 - -37))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002384619 to 6 dps.\nAnswer: 0.002385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119252585 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {j: 1, d: 1, k: 2, l: 9}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -2*f - 37 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*q - m, -3*q - 2*q + 4*m = 5. Let o be 1*(1 - 2)*q. Let x be 3*o + -1 + 0. Sort -1, 4, x in descending order.\nAnswer: 4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and 9939948.\nAnswer: 9939962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -72561*r - 6616. Is j(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = -2*g. Is (71 + (-1 - g))\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 + (-4)\/(-96)*6. Solve 3*a + 3*x - 9 = 0, -a + v*a - 3 = 4*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1505 + 1?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/(-88) + (-6)\/(-8)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 75. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 - 2*d**3 + 4*d**3 + 0*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35.6 + -36. Let a = -0.41 - -0.4. Let o = a - -0.01. Sort s, o, 0.5.\nAnswer: s, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/(-28) - (-9)\/6. Put -0.1, -1, b in descending order.\nAnswer: -0.1, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 5*c + 48. Suppose 0 = 36*a - 43*a - 42. Calculate the remainder when h(a) is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/24)\/((-2750)\/693000).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0*o**5 + 49\/6*o**3 + 2*o + 0*o**4 + 0 - 1\/3*o**6 + 14*o**2. Find the first derivative of v(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -564 + 1120. List the prime factors of d.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11647 and 0.6.\nAnswer: 11647.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6267*n - 72. Let h(y) = -1250*y + 14. Determine 11*h(p) + 2*z(p).\nAnswer: -1216*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4 - 4. Suppose -g = -u + 2. Suppose 0*b = b - z - 21, 5*b = u*z + 103. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39862*r**3*v**3 + 7239*v**3 - 2 wrt r.\nAnswer: -119586*r**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -181616 - -285157. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**1))**(-15)\/(x**(-3)*x*x**(-2\/5)))\/(x*(x*(x**0\/x)\/x)\/x*x*x**(4\/5))**(-18) assuming x is positive.\nAnswer: x**(159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -212*m**2 - m - 1. Suppose 0 = -5*j - 3 - 2. Let q be t(j). What are the prime factors of 3\/((-12)\/q) + 3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -1916.\nAnswer: -114.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158*u**3 + u**2 - u wrt u?\nAnswer: 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 7*l**4\/2 + 4*l**3\/3 + 12. What is the third derivative of k(b) wrt b?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 46*p**2 + 17*p + 16. Let m be g(-1). Let a be (-9)\/m - (-226)\/30. What is n in -a*n + 8\/3*n**2 + 2\/3*n**3 + 4 = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16760842?\nAnswer: 2, 7, 171029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 bigger than -1\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, x: 2, u: 2, t: 2, j: 7}. Give prob of sequence vvxt.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 35*y + 70. Let u(d) = 33*d + 46. Let b(z) = 3*u(z) - 2*w(z). Let h(l) = -57*l + 4. What is -11*b(j) - 6*h(j)?\nAnswer: 23*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 + -199. Let z(j) be the second derivative of 10*j + 0*j**2 + 0*j**b + 0 + 3\/4*j**4 - 3\/10*j**5. Find the third derivative of z(w) wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4274 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/60 - a**4\/24 + a**3 - 3*a**2. Is h(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135434166 and 4582359?\nAnswer: 1218907494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.997804ml?\nAnswer: 0.000997804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 - 13*i + 22. Let d be u(2). Let x(c) = 2*c - 8. Let g be x(d). Solve 3*w + 18 = g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 0 - 1) + 14 + -11 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:57 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 10:38 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1673139 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r)*((4 + 0 - 3)*(-r + r + r**2) - r + r + r**2).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 4, u: 6, g: 7}. Give prob of picking 1 g and 1 d.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22048 is divided by 109.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63 or -309\/5?\nAnswer: -309\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398119367 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2310, -7871, -17132, -30087, -46730, -67055?\n\"Answer: t**3 - 1856*t**2 - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162592 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 30 = 2*m. Let s(n) = n**3 - 8*n**2 + 2*n - 9. Let c be s(8). Let h = m - c. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101101120121021 (base 3) to base 10\nAnswer: -5522614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b96c (base 15) in base 16?\nAnswer: 3b058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24379 plus 20.3?\nAnswer: -24358.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (3 + 0 + -5 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49249597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3b417 (base 14) to base 12\nAnswer: -70765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3434357518264 + 28.\nAnswer: 3434357518292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (2 + (-1032)\/260). Is l <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**3\/5 + 14416*c**2\/5 + 13258388*c\/5 + 483221528\/5 = 0.\nAnswer: -1783, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3082 divide 54308962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 56. Let g(k) be the first derivative of 0*k - 2\/9*k**o - 3 + 0*k**2. Factor g(i).\nAnswer: -2*i**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-15)*1*20\/(-18)*363\/121.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 2)\/(9\/(-48)). Let w be ((-99)\/12)\/((-4)\/u). Calculate the greatest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3436928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4345.8 + 4346. Sort k, -12, -23 in descending order.\nAnswer: k, -12, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m**2 - 423*m - 96*m**2 + 423*m + 158*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-592*m**3 + 592*m**3 - 18*m**4)*(2*m - 2*m - 9*m) - m**5 + m**5 - m**5.\nAnswer: 161*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -18\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {f: 9, c: 2, m: 3, o: 3, g: 1, l: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-296700)\/(-1505))\/((-4)\/(-14)). What is the highest common divisor of m and 2208?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771150 (base 8) in base 5?\nAnswer: 31234124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.04 (b) 2\/9 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1580.97393 to zero dps.\nAnswer: -1581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Which is the biggest value? (a) f (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 2) to base 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -9*q - 11, -167*d - 19 = 5*q - 168*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3392 and 476152.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 7\/22 (b) 133 (c) 8\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0059 + 4.9881. Let i = 10 - 5. Let u = t - i. Round u to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166699 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163\/684 - -2\/171. What is the nearest to 0 in 0.4, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*y + 21 - 5, -21 = -5*i - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 14*p**2 - 3*p + 6. Let v be u(6). Suppose -24*n = -12*n - v. Solve -2*t + 30 = -5*k + 4, 5*k - t = -n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 + 3 - 6 + 13*s**3 in the form q*s + v*s**3 + t*s**2 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3\/7 - 243340*c**2\/7 + 43978286*c\/7 + 88929948\/7 = 0?\nAnswer: -2, 183, 121489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(170) - (sqrt(170) - (sqrt(170) - -6*(sqrt(170) - sqrt(170)*-4))))\/((sqrt(4860)*2)\/(sqrt(66)\/(sqrt(11)*-1))).\nAnswer: -19*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l - 42. Let k be j(10). Let x(h) = -3*h + 6. Let u be x(4). Let i = k + u. Calculate the remainder when 2 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (518\/140)\/((-2)\/(-124)) + 3. Let c = -232 + g. Determine m so that c - 1\/5*m**2 + 1\/5*m = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -4*j + 5*k - 20 + 66, -3*j + 2445 = -121*k + 3008 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1122 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -14, -478, -1 in ascending order.\nAnswer: -478, -14, -1, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59087087 less than or equal to 59087085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v + 4. Let j be p(-5). Suppose -5*r = -5*i - 205, -2*i + 68 = 2*r - j. Suppose 5*o - 34 = 2*a + r, 2*o + a - 23 = 0. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 + 5003*b**2 + 3649*b + 525105. Give q(-1667).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 305560077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 194\/6*(45 - 66). Let x = v + 1355. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -313370 at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53229, -53255, -53281, -53307, -53333?\nAnswer: -53359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 + 8. Let s = -88 - -123. Suppose 0 = -5*l + o - 0*o + 20, 4*l = -3*o + s. What is the remainder when g(0) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 7, h: 6}. Give prob of sequence heel.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 17. Let x be y(-12). Let h be (0 - x\/(-3))*-3. Solve -4*r + 5*p - 2*p = h, -p = -2*r - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 13.\nAnswer: 38\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -28*t**5\/5 - 35*t - 35. Differentiate m(d) wrt d.\nAnswer: -112*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**25*z)\/((z*z**(21\/2))\/z))**(8\/7))**(5\/7) assuming z is positive.\nAnswer: z**(620\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - -0.5. Let y = -3.7 + v. Let o = 1.5 + y. Which is the closest to 0.2? (a) 1\/4 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**4\/4 + w**3 - 2*w**2 - w - 1. Let j be u(-4). Let y = j - -19. What is the highest common divisor of 90 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -491*t + 122 + 241*t + 249*t in the form d*t + w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732308367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1c160 (base 16) to base 9\nAnswer: -184722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 6. Suppose -2*d + x = -s, 6*s - s + 58 = d. What is the common denominator of s and -17\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043 (base 10) in base 16?\nAnswer: be3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 20 = 4*i. Let c = 26 - i. Solve 0 = -4*n + c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -119985.787255563?\nAnswer: 119977.787255563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143123 + 143123 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*v + 32, -v + 16 = l - 4*v. Suppose -l*y + 2*y + 8 = 0. Suppose 0 = y*g + 12 + 4. Sort -3, g, 1 in decreasing order.\nAnswer: 1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i, -10 = 2*m + 4*i - i. Let x(t) = 106*t - 10. Let p be x(m). What is the units digit of 2\/11 - (p\/55 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-132)\/16*(325\/(-78) + (-1)\/(-6)). Solve 908*m = 897*m - t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9\/2888014 - 90508192340\/131404637. Let h = q + 4812\/7. Find the common denominator of h and (-61)\/(-6)*-1*3.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:33 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + -1. Let r = 111.4 - -2.6. Let c = 113 - r. Put c, u, -0.06 in decreasing order.\nAnswer: -0.06, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/25*10290\/196*(-3)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 0.2. Let r = -967\/412 + 216\/103. What is the closest to 2 in -3\/2, r, 0.8, l?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = z - 5*z. Let p be z\/28 - 92\/252. What is the second smallest value in -4, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -40\/57633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8112 + -4225. Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1580 + -1200. Is 95 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -509 + 567. Calculate the remainder when 166 is divided by l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 + 114. Let z be (d - (52 - 8))\/((-1)\/888). What is z rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k - 4*k + 10*k to d*k + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 268 - 268. Put -55, -18, d, 3, -2 in descending order.\nAnswer: 3, d, -2, -18, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**2*w**4 + 437868*q**2 + 16599*q*w**4 - 25*q*w**3 - 3*q*w**2 wrt w?\nAnswer: 24*q**2*w + 398376*q*w - 150*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-101 + 6 + 13)*(2 + f**2 - 2 + (3*f - 2*f + 0*f)*(-838 + 181*f + 838)) as n*f + z + y*f**2 and give y.\nAnswer: -14924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 286*i**2 + 453*i - 6831. List the prime factors of k(14).\nAnswer: 181, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2919.\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 465504 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/5611424 and -73\/362440.\nAnswer: 476971040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32028 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: Simplify 3*sqrt(187)\/(sqrt(11) + (sqrt(77)*3)\/sqrt(7)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*(-20)\/24.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/12 - 2)\/((-15)\/10). Let q be ((-6)\/9)\/((-2)\/(-267)). Let c = q - -533\/6. What is the fourth smallest value in -4\/3, c, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2092 + -1463. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 1550 = -v, 4*y - 2080 = -2*v. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 4*s**3 - 4*s)*(2 - 2 - 2*s)*(2*s + s - s).\nAnswer: -16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, e: 3}. What is prob of picking 4 o?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 27*b**2 + 29*b + 23. Let j be d(-28). Is 13 a factor of (-2)\/7*(-3526 - j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or 38041?\nAnswer: 38041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742771 is divided by 132.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 46422492.\nAnswer: 46422492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.007, 2\/9, 2, 4, 660, 0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 138*m**3 + m**2 - 3*m + 2. Let d be n(1). Let v = d - 35. What are the prime factors of v?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.711 millilitres in litres?\nAnswer: 0.562711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 3) to base 2.\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 20828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28\/39, 5, 0, 20 in descending order.\nAnswer: 20, 5, 0, -28\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 8:02 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*s = -177, -4*k + 2*s = 7*s + 232. Let n = k + 64. Let t be (1 - 5)*-4*n\/4. Solve -4*h - 4*d - 28 = 0, -h - t*h - 4*d = 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80409 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(475)*2*-2 + (sqrt(475) - (sqrt(475)*-1 + -5) - sqrt(475) - sqrt(475)) + (-1 + sqrt(475)*3)*-6)**2.\nAnswer: -3520*sqrt(19) + 230156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2579542382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 3*j**2 - 9*j - 7. Let o(l) = -3*l**3 - 3*l**2 - 11*l - 8. Calculate 7*o(m) - 8*r(m).\nAnswer: -13*m**3 + 3*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/((-52)\/(-351)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11043 is divided by 920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 209 + 289 = 236 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010001010 + -1011100110110?\nAnswer: -11111111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-24)*(-1)\/(6\/24))\/41)\/1?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -562110 - 0?\nAnswer: -562110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*s + 7. Let v(b) = 3*b - 3. What is the smallest common multiple of s and v(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m + 22 = -5*g + 37*m, 5*m - 10131 = -10121 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Let t be ((-2)\/(-1 + p))\/(-3). Let f = 0 - 4. Sort 1\/4, t, f.\nAnswer: f, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -99153867.795 and -3?\nAnswer: 99153864.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -8*p + 9, -126 = -p + 2*u - 93 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 258*b**2 + 19549 - 19549 + (-b - 1 + 1)*(-2*b + 4*b - 3*b) + 0*b + 0*b - b**2.\nAnswer: 258*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 2\/(-6)*-9. What is the second derivative of 3*q**2 + y*q**2 - 10*q + 3*q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:29 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 16, -10, -46, -92, -148?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 - 0.03. Let w = 1172 - 1175. What is the second biggest value in w, g, -10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 13*w + 75. Let g = 7 - w. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/53487 and 115\/16845858.\nAnswer: 353763018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9079 is divided by 239.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h - h**4 + 4*h + (2*h**2 + 2 - 2)*(-h + h + 2*h**2).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 132690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*1\/(-6)*-6. Suppose 0 = -0*p + h*p + 4*u + 16, -p = 3*u + 1. Let k be (p + 4)\/((-2)\/(-1)). Is k at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m**3 + 7*m - 2. Let g be d(-5). Suppose g = 14*f + 2*f. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4012871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 279922.668 to the nearest ten.\nAnswer: 279920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s - 27 - 117. Suppose 0 = s*i - 12*i - l + 1406, -i = -3*l - 358. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 10*j**3 + j**3 + 3*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*u, 3*k = 4*u + 2*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 5538 - 1500. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-9)\/(-4) + (-3)\/12 and 63\/36 + (-3)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**3 + 50*n**2 - 86*n**2 + 37*n**2.\nAnswer: -28*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-187962)\/(-10) + 834\/(-695)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(0 + f + 0)*(0 - 5 + 4).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 62. Do 7\/9 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189226641 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 + 181. Solve 3*l - n*s = -4, l + s - 8 = -0*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**3 + 10*d**2 - 3*d - 7. Let h(k) = 6*k**3 + 9*k**2 - 3*k - 6. Let g(n) = 6*h(n) - 5*x(n). What is g(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*10\/1. Find the third derivative of 19*p**c - 8*p**2 + 3*p**6 - 19*p**5 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 1. Let n(i) = -5*i - 2. Calculate 13*f(s) + 6*n(s).\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -65?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2582 - 2579. Solve p - 6*p = -z*b - 12, 4 = -b + 5*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 4:40 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 1. Let t(p) = -4*p + 0 + 6*p - 2. Give j(d) - t(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = j, 11*z - 14*z + 9 = 0. Let q(a) = 2*a - 17. Determine q(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 4. Let v(i) be the second derivative of -i**5\/5 - i**4\/12 + i**3\/3 - 3*i**2 - 5*i + 7. Is v(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1442 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/186 and -43\/12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0 + 3*m**2 - 11\/4*m**4 - 23\/15*m**5 + 0*m - 3\/35*m**7 - 1\/2*m**6 - 1\/168*m**8 - 3*m**3. Let v(x) = 0. Calculate x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -0*q. Suppose 4*j + q*k - 58 = 0, -k - 47 = -3*j - 6*k. Calculate the smallest common multiple of j and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 + 16*c**2 + 52*c + 412. What is d(-7)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 2. Let t(f) = 3*f + 7 - 17 - 5*f + 13. Let z(y) = -3*a(y) + 2*t(y). Let o(k) = -8*k. Determine z(o(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*v + 6 = 2*j, -5*j = -4*v + 24. Let y be 3 + 2\/(j + 2). What are the prime factors of 3\/y - (-1854)\/36?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1068 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23829 - 1131 = 30*h. Which is smaller: h or -833?\nAnswer: -833","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1785544.\nAnswer: 2, 17, 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3*g)*(0 + 2 - 4) - 2*g - 2 + 2 + 71*g - g + 28*g - 2*g + 4*g - g to n + q*g and give q.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 630517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/3711 + 270895\/14844. Let o = 14909\/32 + -466. What is the common denominator of o and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**3 - s + s)*((14 + 0 - 1)*(0 - 4 + 3) - 5 - 1 + 4 + (2 - 5 + 1)*(4 + 0 - 3)) as k*s**2 + l*s + u*s**3 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 + 10?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 14. Suppose 4*f + f + n = 0. Sort -4, f, -5.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgxqgxxqgqjgqqg. Give prob of picking 1 g and 3 x.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2679 is divided by 2293.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -92. Suppose 3*c - 37 = -r. Calculate the least common multiple of c and (4\/5)\/(2\/20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44134?\nAnswer: 2, 22067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 3*c + 2. Let x be d(-2). Let k(b) = b - 10. Let t be k(11). Let o = t + x. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -564\/3695 or -1?\nAnswer: -564\/3695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12588527 to the nearest integer?\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -870, -1190, -1462, -1662, -1766, -1750?\n\"Answer: 4*n**3 - 348*n - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 468*v - 53184. Determine y(195).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10937 - -2\nAnswer: -10935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1986 + 11*t - 1985 - t**4 - 4*t**2 - 9*t as g*t**2 + l*t**4 + s*t + p*t**3 + d and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/14516208 and -31\/15?\nAnswer: 72581040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(-4*o**4 + 0*o**4 + 3*o**4) - 3*o**2 + 0*o**4 + o**4 + 20*o**2 in the form j*o + t*o**3 + d*o**2 + l + s*o**4 and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -22*p + 5. Let j be a(-6). Let b = 214 - j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/33 - 0\/(-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y**4 - 10*y**2. Let a(f) = -33*f**4 + 30*f**2. Let t(k) = 2*a(k) + 7*r(k). What is the third derivative of t(l) wrt l?\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3, 3*h + y + 145 - 560 = 0. List the prime factors of h.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111110200 (base 3) in base 8?\nAnswer: -140041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, -391, 11, 5 in descending order.\nAnswer: 11, 5, 0, -12, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4296*p - 1943681 + 1943681 to the form w*p + j and give w.\nAnswer: 4296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/(-12))\/((-2)\/3). Suppose -2*a - 54 = -0*a - j*q, 3*q = -2*a - 70. Let o be (-8)\/((a\/(-12))\/(-4)). Solve 0 = -4*d - 2*m - o, -m - 7 = 3*d - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13227733081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t + 84. Calculate q(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -4\/3 (b) 0.1 (c) 0.766\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 702561507 or 702561506?\nAnswer: 702561507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 57*g**3 + g**2 - 17*g + 30. Is h(2) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 14274?\nAnswer: 14273.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18696)\/2304 + 2 + 6 and 13\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*i**3 + 147*i**3 - 411*i**3 + 3 - 3 + 43*i**2 + 156*i**3.\nAnswer: -2*i**3 + 43*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (333\/(-27) - -11)*18\/(-4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 27*n**3 + 3*n**2 + 3. Suppose -10*v + 8*v = -t - 2, -3*v = -2*t - 1. Let c(y) = 190*y**3 + 20*y**2 + 20. Determine v*c(r) - 20*w(r).\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12\/7, 78, -0.2, -33, 0 in decreasing order.\nAnswer: 78, 2, 12\/7, 0, -0.2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374362.\nAnswer: 2, 187181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -39*b**3 + 27*b**2 - 10*b + 603. Let x(p) = 27*p**3 - 19*p**2 + 7*p - 402. Determine 10*x(f) + 7*z(f).\nAnswer: -3*f**3 - f**2 + 201","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -75*z**2 - 75*z + 75. What is c(1)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 43042?\nAnswer: -43046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1176 and 33.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 885 = 6*m - 213. List the prime factors of m.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3.3, 2 in descending order.\nAnswer: 6, 2, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-15)\/(-9))*78\/585.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1327*c**3 - 6*c**2 + 4*c + 8. Let t be u(4). Round t to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -34*n - 1. Let c be j(2). Let v be c\/21 - (-2)\/7. What is the closest to v in 1\/2, -0.5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -115*x**2. Let a(r) = -r**2. Calculate k(a(t)).\nAnswer: -115*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -27. Solve -5*l = -3*p + j, l - 3*p = -16 + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**3\/3 - 5*f**2 - 16*f + 6. Let g be l(11). Let c = -14 + 9. Is c less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + 21\/9. Suppose -3*k - 3*i = -12, 0 = 4*k - l*k - 2*i + 8. Let r be k + (3 + -3 - -3). Solve r*n - 5*v + 2 = -14, 2*n + 10 = 3*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/3 - 16*k**3\/3 + 10*k**2\/3 + 28*k\/3.\nAnswer: 2*k*(k - 7)*(k - 2)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12312 + -201?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -238*s. Let p(c) = 609*c + 3. What is p(l(t))?\nAnswer: -144942*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 - 44 + c + 13 + 9 + 6 + 7 to z*c**3 + h + n*c + v*c**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from dbwdxddxb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*27\/(-12))\/(((-15)\/(-6))\/5).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103500.\nAnswer: 2, 5, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12263649 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*n + 2, 0 = n + 5*a + 24 - 1. Suppose -n*u - f = 5, -2*f = u - 0*f + 7. Sort u, 4, -2.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 37, 3, -8, 6, 0 in ascending order.\nAnswer: -8, -3, 0, 3, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 546512 (base 7) to base 13\nAnswer: 3489b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2. Let v(h) = 2448*h. Give v(q(m)).\nAnswer: 9792*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491096647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 79376?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 1138*h**2 + 142960*h - 290464.\nAnswer: -(h - 1252)*(h - 2)*(h + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -16. Let n = 28 - w. Which is smaller: n or -1\/37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98831170 rounded to the nearest one hundred thousand?\nAnswer: -98800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25337, -23609, -20729, -16697, -11513, -5177?\n\"Answer: 576*o**2 - 25913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-0.235695.\nAnswer: 6.12807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 + z + 8. Let n be w(-7). Let r = -28 - n. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*v - 42749 - 111601 = -1426*v for v.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2730626994 - -649.\nAnswer: -2730626345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 4378\nAnswer: -2189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 208402 divided by -8\nAnswer: -104201\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43159642, -86319281, -129478920, -172638559, -215798198?\n\"Answer: -43159639*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u**2 - 5*u - 9. Let s(v) = -v**3 + v**2 - 5*v - 10. Let f(q) = -6*s(q) + 7*z(q). Let n(h) = 1 - 3*h + 3*h + h. Give -f(b) - 3*n(b).\nAnswer: b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -22. Suppose 0 = 2*d - y*d - 112. What is the common denominator of 7\/6*120\/30 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d**3 + 4*d**2 - 14*d + 14. Let h(o) = -2*o**3 + o**2 - 3*o + 3. Suppose 3*v - 3 = 2*c, v + 4*c - 21 = -2*v. Determine v*p(l) - 14*h(l).\nAnswer: -2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3168152 is divided by 4382.\nAnswer: 4348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 271362 a multiple of 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -206649 + 359848. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 + 2220*x**3 + 369630*x**2 + 27352620*x + 759035205 = 0. Calculate x.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggeepegzzgez. What is prob of picking 1 e, 1 g, and 1 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14182 less than 156011\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - t = -20*m + 5, -m - 12 = -2*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 205, 3, -16, 2, 1 in increasing order.\nAnswer: -16, -7, 1, 2, 3, 4, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/(-40) + 6 + (-72)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2907 - 484\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/81, -0.03, -1, -11.2, -17, 5.\nAnswer: -17, -11.2, -1, -0.03, 2\/81, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6980 times -4068\nAnswer: -28394640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = 2*m - 30*y + 24, -y = -2*m. Which is the nearest to -1? (a) 0.2 (b) -0.2 (c) m (d) -39.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from sfy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34389 is divided by 362?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(2 + 2 - 3)*(-120 - 3*m + 106 + 53) in the form g*m + d and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17923 or -17975?\nAnswer: -17975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -469572.\nAnswer: 469572.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 6. Let c(y) = -6*y - 36. Let w(o) = 2*c(o) - 13*p(o). What is w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r + 40*r - 75*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2111, -5, 1, -0.4, -4, 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20*(12\/(-48) - -1). Solve 13*y + 106 = a for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkcqbhhdc. What is prob of picking 1 q, 1 d, and 1 b?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/307 + 299\/614. Let x = -3.07 + 0.07. Let g = -5 - x. Which is the third smallest value? (a) v (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 6*h**2 + 2*h - 26. Let q be k(6). Let x(b) = 3*b - 6. Let o be x(q). Which is smaller: -47 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/18564)\/(25\/(-1050)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37036671 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 35*y. Calculate the remainder when 7\/(7\/(-2)) - -140 is divided by r(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let r be w(-12). Solve -2*n - r = -2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, 0.5, -46?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f**2 - f**4 + f - 10*f**2)*(-11 + 27 + 7).\nAnswer: -23*f**4 + 23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*b + 2, -3*z - 6*b + b + 5 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p - 5*p - 4*p)*(-30*p**2 - 9411*p - 33*p**3 + 9411*p + 5) in the form y*p**3 + v + c*p + u*p**2 + a*p**4 and give a.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6916 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/2, 1\/4, 2\/11, -0.3, 7 in decreasing order.\nAnswer: 23\/2, 7, 1\/4, 2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from zyeezzzzeszyezzs?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 4.6\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -27488320 and -27488319 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-18)*(-6 - 150\/(-20)). Which is the closest to -2\/5? (a) -1\/6 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-46)\/6 + 26\/39. Let k(p) = -p**2 + p - 1. Let b(x) = x**3 + 4*x**2 + 5*x - 2. Let l(z) = b(z) - 5*k(z). Let q be l(g). Solve -q*m = -7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 616312031 divided by 29\nAnswer: 21252139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - -12) + (-94 - 15)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/90 - n**4\/12 + n**3 - 2*n**2. Let i(l) be the first derivative of g(l). Differentiate i(x) with respect to x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 165, 321, 539, 819?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -5, -24, -1\/6, -0.2 in ascending order.\nAnswer: -24, -5, -0.2, -1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 859412900 rounded to the nearest one million?\nAnswer: 859000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 3*b - 5. Suppose v + 4 = 2*v. Let m be j(v). Let p(d) = d**3 + 8*d**2 - 9*d + 7. Calculate the remainder when 10 is divided by p(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-64 + 64 + 7*t).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/128 and 79\/1712.\nAnswer: 13696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 4. Let j be f(-3). Let l be ((-32)\/20)\/(4\/(-10)). Suppose x = -3, 4*x + x = -l*q + 601. Calculate the greatest common factor of q and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4455214, -8910431, -13365648, -17820865, -22276082?\n\"Answer: -4455217*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6\/13))**23*((v\/(((v\/v**(1\/4)*v)\/v)\/v))\/v)\/(v\/(v*(v\/v**1)\/v*v*v)*v))**(-16\/7) assuming v is positive.\nAnswer: v**(308\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 6:29 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -6. Let n(y) be the second derivative of y**5\/20 + 2*y**4\/3 + y**3\/3 + 6*y**2 + 2*y. Let l be n(m). Put -1, l, -8 in increasing order.\nAnswer: -8, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -872 - -886. Solve -2*i - 3*h + t = 0, 2*h = -3*h + 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14*q + 100. Let n(u) = -5*u + 132. Let l be n(25). Let o be f(l). What is the third biggest value in -0.3, 0.1, 6, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5))**0)**(-43) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1074 (base 13) to base 2.\nAnswer: 100011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**5\/7 + 384345*h**4\/7 - 1153059*h**3\/7 + 54909*h**2 + 1153056*h\/7 - 768708\/7 = 0?\nAnswer: -128118, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32796298 by 16.\nAnswer: -16398149\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 100) + 139 + (-4)\/(-14) + (-52)\/(-14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4)*(3*v - 4*v + 3*v) + 693 - 693 - 128*v to the form y + x*v and give x.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -119\/146 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 1760*w**3 + 2 + 8*w**2 - 2*w**4 + 1759*w**3 + 2*w - 7 as q*w**3 + d + n*w + g*w**4 + s*w**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4854 + 38755\/8. Calculate the common denominator of -75\/28 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-5)\/(100\/(-30))*-10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8913 divided by -2971\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykyyyykkyknknykk. Give prob of picking 1 n and 3 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2 - 2*k + 2. Let w(v) = -5*v**3 - 8*v**2 - 10*v + 4. Let c(o) = -4*a(o) + w(o). Let m = -7 + 12. Suppose -m = h - 1. Determine c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9366432?\nAnswer: 2, 3, 43, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (31 - 169)\/(-23)*(-2)\/16. Which is the second smallest value? (a) -2\/9 (b) 1346 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 2:06 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561196327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003494624 to 6 decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v. Let f(o) be the third derivative of -o**4\/24 - 3*o**3 - 17*o**2. Let y be f(-23). Let z(i) = -4 + y + i - 1. What is z(x(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5.97 times 870.2\nAnswer: 5195.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-44*12\/36)\/((-2)\/(-3))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.1 (b) -0.2 (c) -1 (d) -0.0504\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1751 + -695. Is 33 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/4 - 783\/54) + 7. Let y = -2 - -1.7. Which is the second smallest value? (a) -5 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451897250.\nAnswer: 2, 5, 7, 71, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1529, -3461, -5389, -7313, -9233, -11149, -13061?\nAnswer: -14969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -16. Let j be (14 + -12)\/(z\/20). Calculate the greatest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11045*m**2\/4 + 196641420*m - 3500936899920.\nAnswer: -5*(47*m - 1673544)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 + 31*x - 169. Let a be c(7). Let s(b) = -36*b. Determine s(a).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 5*w + 12. What is the highest common factor of 150 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.102 - -0.198. What is the closest to a in 0.02, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 36. What is the least common multiple of 22 and n(-14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -9. Suppose -m = -l - 7. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*o - 89996, 37*a - 38*a = -4*o - 45013. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:00 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - 2.54. Let r = c + 3.1. What is the closest to -0.2 in 4, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 30. Let n be x(28). Let i(d) be the third derivative of 1\/4*d**4 + 0 - 1\/6*d**3 + 0*d + 3*d**n. What is i(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlplttl. What is prob of sequence lt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -6 (c) -1\/2 (d) 0.75 (e) -2 (f) 66\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -64*y**2 + 6*y - 11. Let d(g) = -13*g**2 + g - 2. Determine 22*d(w) - 4*v(w).\nAnswer: -30*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 755*d + 443*d**3 + 0*d**2 - 441*d**3 + 0*d**2 in the form y + c*d**2 + k*d + o*d**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219145295884 + 219145295884 - 1169*y**3.\nAnswer: -1169*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2276 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.7 + 6.5. What is the closest to -2\/3 in -0.5, -4\/5, p?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j + 15 - 6*j - 19 + 4. Let h(a) = -4*a**2 - 10*a. Determine h(o(g)).\nAnswer: -784*g**2 + 140*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -11) + 10 + -9 - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 4*u + 9. Let d(o) = -7*o**2 + 9*o + 18. Determine -4*d(m) + 9*p(m).\nAnswer: m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14947647 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -58*l - 168. Calculate a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24600 - 2*a - 859*a**2 - 859*a**2 - 24598 + 3*a to o*a + n + j*a**2 and give j.\nAnswer: -1718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 108851*l**2.\nAnswer: l**2*(l - 108851)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 5520625?\nAnswer: -82809375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51343896, 102687798, 154031700, 205375602, 256719504?\n\"Answer: 51343902*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -13 (c) -1 (d) 3 (e) -138\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 67*y**2 - 9*y + 22. Let v be p(4). Calculate the greatest common divisor of 46 and v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9405397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 7*o**2 + 2*o - 2. Suppose i + 3*l - 47 = -2*l, -2*i + 34 = -2*l. Suppose -w + 5*u = i, -2*w - 58*u = -55*u + 5. Calculate f(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 1. Let a(o) = o - 1. Let q(b) = -3*a(b) + m(b). Let d(c) = -c**3 - 14*c**2 - 32*c + 11. Let f be d(-11). What is q(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2212 and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 10912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(1008) + sqrt(1008)))**2 + (sqrt(7) + sqrt(7)*1 + -1)**2 + -2 + sqrt(21)\/sqrt(3).\nAnswer: -3*sqrt(7) + 64539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12420212 (base 7) to base 16\nAnswer: -1141e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50103 - 3?\nAnswer: -50106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -995*j**3*r - 166*j**3 + 273*j*r + 350*j wrt r?\nAnswer: -995*j**3 + 273*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 78.39. Let c = 0.01 + n. Let p be 2*(-1 - 9\/(-8)). What is the second biggest value in p, c, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -183391, -183393, -183397, -183403, -183411, -183421?\n\"Answer: -k**2 + k - 183391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 5:39 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.141 * -0.067\nAnswer: -0.009447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 3*p - 2*p. Let d = -74 + p. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/1)\/(-5))\/(14\/35).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578144 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/333 in 4, 5, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2914174700 - 0.1?\nAnswer: -2914174700.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377959586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 5 + 28)*(-5*n**2 + 6*n**2 + 11*n**2) to b + w*n + l*n**2 and give l.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 4:09 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 26) + (-8 - 6)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18040 and 15334.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 14*u + 51.\nAnswer: -(u - 17)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 6*t + 2. Let k be f(3). Let j(i) = -7*i**3 + i**2 - 6*i - 21. Is j(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -11*l**4\/12 + 4*l**3\/3 + 13*l**2. What is the derivative of u(p) wrt p?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + k)*(6*k + 11 - 11) + (k - k + k**2)*(-5 - 1 + 4).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 20*l + 3. Let f be t(20). What is the tens digit of (150 - 24)\/(f\/2 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1063, 1073, 843, 253, -817, -2487?\nAnswer: -4877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44\/5 of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 119*r**2 + 62*r - 362. What are the prime factors of k(5)?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 341 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5858\/11 + 533. Let j be (-7)\/(-1) - 0 - 4. Let c(v) = v**3 - 4*v**2 + 4*v - 3. Let i be c(j). Which is greater: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 616\/66 - 12\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22400410*n**4 - 6*n**3 + 272841906*n**2 wrt n?\nAnswer: 537609840*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 200*p**2 - 587*p + 788.\nAnswer: -(p - 1)*(p + 4)*(p + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/35)\/((-18)\/(-42)). Let i be 9\/(-2 + v + (-11)\/(-55)). Let b(h) = 54*h. Let k(c) = -c. Calculate i*k(x) + b(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10075*0.51\nAnswer: -5138.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 1 + 1 + 3*x**2 - 3*x**2 + 2*x**2 - x**2 + 5*x**2 - 6*x**2 + (-2*x + 4*x - x)*(-3*x - x + 3*x))*(-2*x**2 + 3*x**2 - 5*x**2).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 3*k - 2*k)*(-4*k + 6*k - 4*k) + (2*k - 5*k - 2*k)*(-7*k - 14 + 14 + (-k + 3*k - 7*k)*(-1 + 3 - 1)) to n + f*k + b*k**2 and give b.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77812 = 508*u - 536*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 1:59 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 12. Let l be q(-14). Find the common denominator of 266\/40 + -3 - l and 49\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = q - 5*i - 10, 0 = -5*q + 4*i + 68. Suppose -4*t = -t - q. Solve t + 11 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + j + 10. Suppose 205*q - 95599 = -95189. Solve -5*n = q*u - 2*n - 8, 0 = j*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1)**2*-4 + -2.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 21. What is the units digit of (u - -7)*22\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/102 + (-2)\/3. Let g = -43 + 43.328. Let m = -2.328 + g. Which is the nearest to m? (a) 0 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1030352*f**5 + 2*f**4 - 2*f**3 - 7356*f - 450 wrt f.\nAnswer: 20607040*f**3 + 24*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 3*v**2 + v**2)*(137*v**3 - 11*v + 49*v**3 + 2*v**2 - 192*v**3).\nAnswer: 12*v**5 - 4*v**4 + 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24\/10)\/((-2224)\/(-753380))?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44313797 and 1\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*z + 9823 = 5589 - 16514 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. What is the derivative of -5 + 2*n**c - n + n - 3*n**4 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 5752 - 5752.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 192 - 74 = -3*a, -9*a - 229 - 129 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -40, 4\/7, 1.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/32 + 72\/672. Let o = -13 + 5. What is the second biggest value in 6, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 1610*x - 129605.\nAnswer: -5*(x - 161)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1\/(-6))*(-54)\/(-9). Let a = -6 + r. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1256, -2517, -3780, -5045?\n\"Answer: -d**2 - 1258*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -29. Let b = -13\/298 - 3349\/1788. Find the common denominator of -1 - 49*2\/d and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/60 - (370\/20 - 19). Let r(x) be the third derivative of 0*x**3 - 8*x**2 + z*x**5 - 5\/12*x**4 + 0 + 0*x. Find the second derivative of r(g) wrt g.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000061768 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)\/r)**(-44)*(r*(r\/r**(-4))\/r*r*r)**(4\/7) assuming r is positive.\nAnswer: r**(166\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2 (c) -6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30696, 30533, 30368, 30201, 30032, 29861, 29688?\nAnswer: 29513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h - 2. Determine f(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 q when three letters picked without replacement from qhwwwwhwwhqhh.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 834 + 119 = -5*c, -2*b + 3*c = 286. Let m = b - -270. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0858 or -3097?\nAnswer: 0.0858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - 5*q - 8*q)*(-6 - 3 + 2) to the form d*q + u and give d.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112512 divided by -35?\nAnswer: -1112512\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 6*w + 7. Let o be m(-5). Solve q - o + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.8 times -6\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 521 - 10943\/21. What is the second smallest value in 0.5, b, 5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123166446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, 1\/4, -29?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbzzbbzbbbbzbbbbbbbz. Give prob of picking 2 b.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296636347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 8*m**2 + 6*m + 15. Let q be l(7). Suppose q*o - 4*o = 12. Put 1, -1, 5, o in descending order.\nAnswer: 5, o, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 9:03 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(25)\/sqrt(20)*-4)**2*1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 238*f - 113. What is the hundreds digit of s(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56525 - 56739 = -107*a. Let 12\/5 + 32\/5*p + 28\/5*p**a + 8\/5*p**3 = 0. What is p?\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240501 * -1.\nAnswer: 240501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -869.7 - -864. What is the closest to l in 0.5, 1\/11, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2047 or 2151?\nAnswer: 2047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 9:43 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1171161 - 804374. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249 + -249. Solve k*c - 5*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 89*n**2 + 124*n - 616. Is p(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.005 + -0.295. What is the nearest to a in 3, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36958.76ms to microseconds.\nAnswer: 36958760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 0.1828?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*w + 4*d + 872, w - 5*w - 2*w + 48 = d + 2*d for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4122 or -4124?\nAnswer: -4124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/((-9)\/(-54)). Let j be (-68)\/(-7) + f\/28*-4. Sort 4, 3, j, -5.\nAnswer: -5, 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -44\/3*d - 8\/3*d**2 + 16 + 4\/3*d**3 = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2851030?\nAnswer: -2851030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574562821 is divided by 4664.\nAnswer: 4661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 2:35 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 572*y**3 - 29903*y**2 - 21159*y - 1246 wrt y?\nAnswer: 3432*y - 59806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5200 - -20799\/4. Put -1, -11, 1, 11, z in decreasing order.\nAnswer: 11, 1, z, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*r = -87*r. Suppose 4 = -k, -7*p + 3*p - 3*k + 4 = r. Calculate the smallest common multiple of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - -1?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5262 + 238*r - 2700 - 236*r - 3351 to the form g*r + u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*z + 7 = 0, -a + 3*z - 6*z = 13. Let o be -3 + (-1)\/(a\/28*-2). Let h = 18 - 15. Solve -h*x - 4 = -o*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 40*z**2 - 77*z - 76. Calculate the remainder when 60 is divided by g(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 440\/1383 - -30124129\/5532. Let c = i - 5476. Is -30 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1541\/2 + 736. Let r be (-568818)\/(-40) - 6 - 1. Let m = r + -14208. Calculate the common denominator of m and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44ac1d (base 14) in base 10?\nAnswer: -2334779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29960.\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bb8e96 - -1?\nAnswer: -2bb8e95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/(-12)*(498\/(-1079))\/(1\/13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1460\/3 (b) 0.01 (c) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 63 + (-34)\/(-340)*180. Let x = 1207 + -559. Calculate the highest common divisor of l and x.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 308 = -12*s. Suppose -4*q - 3*n + 4 = 0, -3*q = 2*q - n - 24. Suppose c - 175 = -q*c. Calculate the highest common factor of c and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3, -2*k = -0*z + 4*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from npmmpmqmmmqmmm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4367 is divided by 1452.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 413, 610, 791, 950, 1081, 1178, 1235?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 2*b = 1512. Suppose -20 = -4*l + b. What are the prime factors of l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 44 = -2*t + 334, -4*t = -4*p + 1488. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/16 + 11*i**3\/4 + 36*i**2 + 64*i - 63. Suppose f(y) = 0. What is y?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 2*j + (-206 + 37 - 4)*(6*j - 71*j + 7*j) + 0*j - 3*j + 4*j to the form h + f*j and give f.\nAnswer: 10033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**3 + 30*r**2 + 80*r - 100. Determine k(6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14524*20983.\nAnswer: 304757092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, e: 1, d: 3, r: 1}. What is prob of picking 2 t and 1 e?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -35, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22681 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.01, -2, -5844.9338 in descending order.\nAnswer: 2\/3, 0.01, -2, -5844.9338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1775579, -3551160, -5326741, -7102322, -8877903, -10653484?\nAnswer: -12429065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*g**3 + 21*g - 5*g + 5*g**2 - 16*g in the form o*g**3 + t + h*g**2 + z*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(14\/24) + 93073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/19)\/((-21)\/(-14)). Let d = 4.6 - 5. What is the biggest value in 3, m, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/((-16)\/(6720\/10))*56\/21?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*j - 895*j + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.66 (b) 0.5 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 2*j - 2. Let u be z(-1). Let p(m) = 7*m**2 - 3*m - 6. What is the remainder when p(u) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 14*p - 12*p**3 - 3 - 43*p**2 - 29*p**2 + 72*p**2 to t*p + x*p**3 + j*p**2 + a and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 + 1. Let h be g(-1). Suppose -7 - 1 = -4*w + h*v, 7 = -w + 4*v. Suppose 2*o - w*o - 3 = 0. What is the second smallest value in -2\/5, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10723 - 10671. Solve -18*b = 142 - j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/20 + 7*x**4\/12 - x**3\/3 - 4*x**2 - 7*x. Let f be ((-6)\/9)\/(4\/42). What is q(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 969*v. Let k(m) = -2*m**2 + 479*m. What is z(k(h))?\nAnswer: -1938*h**2 + 464151*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by -99.\nAnswer: -106\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64c00 (base 16) to base 13.\nAnswer: -115ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/(o**4*o)*(o**1)**(2\/23) assuming o is positive.\nAnswer: o**(25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1063, -4229, -9515, -16927, -26471, -38153?\nAnswer: -51979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17965*d**2*p**2 + 16*d**2 - 377*d*p**2 - 2460030*p wrt p.\nAnswer: -35930*d**2 - 754*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*i + 53, -3*i + 67 = 4*s - 0*i. Suppose 0*h = 5*h - 20. Calculate the remainder when (-3 - (-57)\/4)*h is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 11*l + 924 = 0. Calculate the highest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**25*j*j\/j**(-13)*(j*j**(-1\/10))\/(j**(-10)\/j) assuming j is positive.\nAnswer: j**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(200) + 5 + sqrt(200)*4 + -3)**2.\nAnswer: 400*sqrt(2) + 20004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-21)\/(-28)*(20 - 2). Let a = b - 22. Suppose -7*m + 3*m + 24 = 5*w, 21 = 5*w + m. Solve j - a*k = -2*j - 20, w*k - 19 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 4*t**7\/35 - 2*t**5\/5 - 14*t**2. Find the third derivative of q(i) wrt i.\nAnswer: 576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -103, -153, -203?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4.8. Let w = 1 + -1.2. Let m = w + p. What is the closest to 1\/3 in 5, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 65*b - 61*b - 2363, 5*b - 3*x - 2945 = 0. Calculate the smallest common multiple of b and 666.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 12)\/(1\/(-1)). Let l be 4\/(-1)*(4 + q). Solve 2*d = g + 8, -5*g - 2*d + l*d = 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -510376, -510401, -510428, -510457?\n\"Answer: -m**2 - 22*m - 510353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-21)\/(-28) + -1)\/((-5)\/60). Put 22.9, 0, n in decreasing order.\nAnswer: 22.9, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91630983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249*d**3 - 57*d**4 - d - 743*d**3 + d**2 + 3*d + 242*d**3 + 254*d**3 to v*d**2 + r*d**4 + p*d**3 + l*d + c and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11352 and 54120.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 66 = -3*h + 67, 20 = -4*h. Does 16 divide (u\/(-10))\/((-11)\/(-63140)*8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**3*v)**(9\/7)*v**(1\/20)\/(v**7\/v*v*v) assuming v is positive.\nAnswer: v**(-213\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -11. Suppose k*y - 2*y = 10. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:39 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t - 4. Let o(f) = 2. Let c(i) = i - 11. Let h(b) = -c(b) - 5*o(b). Calculate -6*h(k) - 2*v(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -112531*z - 673947. Calculate g(-6).\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50047 + 50046 + 6*b - 6*b**3 - 2*b**2 + 5*b to l*b + m + o*b**3 + a*b**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g*g**1)\/g)\/(g**(1\/8)\/g)*(g**(-2\/5))**(-2\/7) assuming g is positive.\nAnswer: g**(1117\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -54. Let x = w + -35.99907. What is x rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43134 - -102?\nAnswer: -43032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - i)*(0*i + 0*i + 2*i) + 149*i**2 - 10*i**2 + 31*i**2)*(11*i - 42*i - 23*i).\nAnswer: -9072*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13635\/23146 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1200*l - 5865. What is i(-5)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 - 4*t - 4. What is the units digit of x(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 35*h + 172. Let w(b) = 2*b**2 + 13*b - 31. Let x be w(2). What are the prime factors of d(x)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w*w**12)\/(w**(-2)*w**1))**(-28) assuming w is positive.\nAnswer: w**(-1148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 305 = -61. Let y = -31 + f. Calculate the remainder when y is divided by (-7)\/(-1) + 2\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19747737517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b**5 + 10 - 10 + (5*b**5 - 3*b**5 - 9*b**5)*(3 + 1 - 1).\nAnswer: -29*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.81 + -0.46. Let d = r + -402.35. Let n = 401.000161 + d. What is n rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjzjjdjjwjjzwjjjjzj. Give prob of sequence kz.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-2)\/15*(-2127)\/2. Let j = 267 + r. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.4 (b) 7562 (c) 6\/7 (d) 0.5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7560 less than or equal to -7560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g**3 + 21*g**3 + 11*g**3)*(-g + 2*g + g) as q*g + d*g**2 + j*g**3 + n*g**4 + s and give n.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Let i = 3.5 - v. Let u = 1.5 - i. Is -1\/3 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -72. Solve 4*t = q*a - 20, 3*a - 2*t + 6*t + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2140 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bierkieukeibikeub. Give prob of sequence ue.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhhhhyyhh. What is prob of picking 2 h?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -297\nAnswer: -118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 6072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5023992980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*-47.85\nAnswer: -95.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-98)\/(-3)))\/((-18)\/(-21))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -192 + 179. Let l = 3 - 2. Is 13 a factor of z\/3*(-18)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(403\/(-310))\/(3\/15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/9 - 92314*q**3\/9 + 473427220*q**2\/3 - 7283204290936*q\/9 - 7284624664912\/9.\nAnswer: 2*(q - 15386)**3*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p - 2*m + 198823, -4*p + 3*m = -265069. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656540 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -15084788*x**2. Let u(i) = 6*i. Give u(f(d)).\nAnswer: -90508728*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152013 is divided by 399.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*x + 8 = 0, 2*c + c = 3*x - 6. Let o be (-20 - 2) + 3 + -2. Let n be 7\/o + (2 - 1)\/21. Which is bigger: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + 1.84. Let z = o + 0.1. Let i = 2651\/5 - 530. What is the second smallest value in -1\/5, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157\/36 - 47\/12. Let g = 939.95 + -940. Sort g, 1, b in increasing order.\nAnswer: g, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -65 + 227. Let h = r - 242\/3. Factor 0 - 2\/3*d**2 - h*d**3 + 0*d.\nAnswer: -d**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from zzzbbzzzzbbb.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1996, 1990, 1986, 1984, 1984, 1986?\n\"Answer: h**2 - 9*h + 2004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 1790517433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(85)*6)\/sqrt(5).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t. Let i(w) = -37282*w. Calculate a(i(n)).\nAnswer: -223692*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 62.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6864943 to the power of 1\/2, to the nearest integer?\nAnswer: 2620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -578, -584, -592, -602, -614, -628?\n\"Answer: -f**2 - 3*f - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/15 - g**4\/24 + g**3\/6 + 7*g**2. Calculate y(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 3\/7, -469623.\nAnswer: -469623, 0.03, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9 - 8872*r + 61 - 71.\nAnswer: -8872*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/5, 2\/5, 4, -3, -4, 36, -17.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -154*y + 304*y - 147*y + 5*y**2 - 1 - 11*y**2 - 4*y**2 - 9*y**2 + (-4*y + 4*y - 2*y)*(-2*y - 2*y + 0*y).\nAnswer: -11*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**3*s**2 - k**3*s + k*s**3 - 24*k*s - 11*s**2 wrt s?\nAnswer: -8*k**3 + 6*k*s - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48720.5 micrograms in nanograms?\nAnswer: 48720500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30010120 + -11013?\nAnswer: 23333101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -12. Let u(m) = -18 + m**3 - 19*m + 14*m**2 + 42 - 29. Let f be u(-15). Calculate the greatest common divisor of s and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 15, n: 3}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46d + -2288?\nAnswer: -1c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8397 - -28298. List the prime factors of j.\nAnswer: 7, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 26. Let a be b(10). Suppose -a*o + 23 = -185. Suppose -j - 3*j + 314 = -5*x, -222 = -3*j - 3*x. Calculate the remainder when j is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-8)\/6)\/(-3). Let w = 4981\/8680 - 3\/1240. Put w, m, -2\/15 in ascending order.\nAnswer: -2\/15, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-7)*s)*s**(-3\/4))\/((s\/s**2)\/s*s**(-3\/10)*s) assuming s is positive.\nAnswer: s**(-149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 8*t**4 - t**2)*(2 - 2 - 1 + (1 - 4 + 2)*(4 - 1 - 1)).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 954*y**2 + 4*y - 89. Is n(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 136*f**2 + 15*f + 6. Does 29 divide z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3024 + 3045. Solve 5*a = 5*i - k - 29, -2*i + 5 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 61. Let t be b(31). Solve -4*z = t - 13, z + 12 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -1. Let i be ((-275)\/(-35) + -4)\/(2 - l). Is i greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.664856 nanometers to millimeters.\nAnswer: 0.000000664856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16994, -34015, -51036?\nAnswer: -68057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*(2 - 1))\/(-1). Let b(j) = -j**2 + 3*j + 1. Let h be b(0). Suppose -2*o - 3*v = -v, 0 = -2*o - 3*v - 2. Sort h, r, o, -3 in increasing order.\nAnswer: -3, h, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 9. Let f(r) = 1. Let p(b) = 6*f(b) + x(b). Let t = 28 + -38. What are the prime factors of p(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 12, 2*u - 2*b - 4 = 0. Suppose -2*x = -3*x + 3, 4*p = u*x - 7. What is the third derivative of -7*m**5 + 25*m**2 - 16*m**p - 3*m**5 wrt m?\nAnswer: -600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*p - 8*p - 13*p + 5557 - p + 3*p in the form q*p + i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/12460 and 67\/308.\nAnswer: 137060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 54 - -26) + (-2 - 2) + -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1144054013?\nAnswer: 1144054015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*w - 2*w = -6, 0 = -4*k + 5*w - 2. Suppose -3186 = -m - 2*m + 3*y, -k*m = y - 2139. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/9 - 1252*f**2\/3 - 783752*f\/3 - 490628752\/9 = 0. What is f?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*d = 9*d - 69*d - 3612 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccccccgcggccccccccc?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 2*r - 8, 58205*h = 58201*h - r + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.128802 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -4612 + 4546. Let m(j) = j**3 - j**2 - 3*j + 3. What is the remainder when m(3) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4901*r = 7*h - 4897*r - 12, h + 9 = 3*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w**2 + 1. Suppose 5 + 0 = 5*a. Determine h(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 7:54 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -21. What is the lowest common multiple of 16 and -1 + 0\/(-3) + c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55\/(-25) + (-2 + 1\/5 - -2). What is the second biggest value in -10.4, 0.3, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 0*f**2 + 0*f**2)*(3 + 2 + 0)*(-6 + 5 - 1)*(4*f - f + 1 + 0).\nAnswer: -60*f**3 - 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -259 + 143. Is d at most as big as -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2 - 7*b - 23*b**2 - 3*b + 10 + 3*b - 9*b**2. Let f(o) = 25*o**2 + 5*o - 7. Let s(y) = -5*a(y) - 7*f(y). Let h(i) = i. Give h(s(k)).\nAnswer: 10*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8841248 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4dc (base 15) in base 13?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/7 and (-119)\/42 + (2 - 6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2 - 2)*(5 - 16*f + 15*f + 8).\nAnswer: -f**2 + 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1175*x + 24. Let o(g) = 387*g + 9. Calculate 8*o(m) - 3*u(m).\nAnswer: -429*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(-2)*a))**(-4\/31)\/(a**(-1\/10)*a**(-2\/9)))\/(a**6*a*a\/((a*a**(-11))\/a*a)*a*a*a)**(-35) assuming a is positive.\nAnswer: a**(2050469\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m - 3. Let a be f(0). Suppose -3*g + 6 = -0. Suppose g = -l - 1. Is a != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(2\/15)))\/((y\/y**(4\/7))\/y)*(y**(1\/6)*y)**(-38) assuming y is positive.\nAnswer: y**(-1527\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112.000071 + 112. What is f rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183.64 - -188.64. Which is the smallest value? (a) j (b) 0.5 (c) 3\/5 (d) 4 (e) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.936451 to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 62, 66, 52, 14, -54?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -70717\/5, -0.55.\nAnswer: -70717\/5, -0.55, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17*u - 12. Let l(t) = 4*t - 3. Let m(n) = -6*k(n) + 26*l(n). What is the lowest common multiple of 22 and m(7)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z + 6. Let f(h) be the first derivative of -h**4\/2 - 2*h**3\/3 - 3*h**2\/2 - 2*h + 25. What is f(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-12))\/(-78*(-160)\/33696)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-10))\/(3\/(-120)). What is the third derivative of l**5 + 3*l - 3*l - y*l**5 + 23*l**2 wrt l?\nAnswer: -1380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*l - 3 - 70*l + 102*l.\nAnswer: -15*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*c = 20, 14*u = 12*u + 2*c - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51150 and 329450?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1678812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 32, -5, -78, -199, -380, -633, -970?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 23. Suppose -26 = 3*q - 11. Let g be u(q). Suppose a + 60 + 76 = -4*j, -3*a - g*j = 435. Round a to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + 2 + (-5 + sqrt(425) - sqrt(425)) + (-4 + sqrt(425))**2*-2 + 2)*2.\nAnswer: -1767 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 = 4*s, -23 = -5*s - 4*k + 12. Calculate the remainder when (-13)\/(-2) + (-2)\/(-4) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -771ec?\nAnswer: 771e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**3 - 11*n**2 + 25*n + 26. Is 41 a factor of m(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30417149457 minus -2.4?\nAnswer: 2.70417149457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3918275 and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1611.5524 - 1612. What is y rounded to two dps?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111000010111111010110 (base 2) to base 3\nAnswer: -10110211221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 5, j: 12}. What is prob of picking 3 b?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190621978.\nAnswer: 2, 5483, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuttddtutuud. Give prob of picking 3 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-252)\/(-150))\/(11 + 1055\/50). Is 0 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 27*o**2 + 353*o + 35. What is b(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, y: 6, w: 1, q: 2, h: 9}. What is prob of picking 1 q, 2 y, and 1 w?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = 4*p + 99, -p = 5*u - 129. Calculate the remainder when 45 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1399*-0.4\nAnswer: -559.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67800555 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0 - i**2 - 22\/3*i**3 - 10*i. Let t(f) = -2*f**2. Give t(c(n)).\nAnswer: -3872*n**2 - 352*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4, -702 = -5*m + 4*m - 4*h. What are the prime factors of m?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -48 - 5) + -41.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 654, 2212, 5256, 10284, 17794?\nAnswer: 28284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-282)\/(-80) + 1 - (-3751)\/(-30008))*-10?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 - 65. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + 5 + (1 + sqrt(931) + sqrt(931) + 1 - sqrt(931)))*-3.\nAnswer: -63*sqrt(19) - 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32049494.\nAnswer: 2, 569, 28163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/((-896)\/1358))\/(6\/(-4)*1\/6)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnhoknnnd. What is prob of sequence hno?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123154505 is divided by 11100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 5*k**2 + 3. Let s(q) = 4*q**3 + 24*q**2 - 16. Let u(o) = o**2 + 16. Let z be u(0). Let d(j) = z*t(j) + 3*s(j). Find h, given that d(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7141 - -14941. What is o rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t + 46*t - 4 = 0. Suppose -2*z + 10 = 0, -b - 3*z - 20 = -6*z. Sort t, 0, b.\nAnswer: b, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + 1. Let f = -30759\/169 - -182. Let h = f - -341\/507. Is l at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 453 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m = -51*m + 105*m + 3*o - 26, -m + 22 = 2*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 48939*o + 1319166.\nAnswer: 3*(o + 27)*(o + 16286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 3*m**4 - m**4)*(41975 - 41975 - 1811*m + 2*m - 2*m - 2*m + (2*m - 5*m + 4*m)*(3 - 2 + 1) - 2*m - m + 4*m).\nAnswer: 3620*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + ((-16)\/(-14) - 4). Suppose 4*z - 7*z = -591. Let r = z - 589\/3. Which is the second biggest value? (a) -0.08 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10534.52 + -10542. Sort -3, x, 3\/7 in decreasing order.\nAnswer: 3\/7, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 60. Let m = v + 39. Let k(g) = -g**2 - 10*g - 12. Let b be k(-6). Solve m = -5*l + 3 + b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -36, -126, -294, -564, -960, -1506, -2226?\nAnswer: -3144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 54. Calculate the highest common divisor of q and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895258049.\nAnswer: 7, 23, 263, 21143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e6 + -4f5?\nAnswer: -20f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -633\/7, -1\/8, 6\/11, -738?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 64 = 21*k. Suppose 2*p = -3*z + 7 - 135, k*z - 3*p + 165 = 0. Let l = -42 - z. Solve -5*q - 3*s + 13 = -6*s, -3*s - 3 = l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bb + 2?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2212 and 71\/2212.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 137.791597846417 and 4.\nAnswer: 141.791597846417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.345 and -76098313.\nAnswer: -76098305.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 70\/3, -86, -8, 2.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*u + 3*k - 50, -4*k - 8 = -u. Is u > 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4996 + -4996. Let n(s) = 13*s - 1. Let i be n(5). Suppose g = z + 2*g - 16, r = 5*z - 3*g - i. What is the remainder when 27 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 l when three letters picked without replacement from xxxxxlxxxlxx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 44. Solve -r = -6*r + s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 989 + -365. Let o = 13 - 8. Suppose -7*g + 1226 = -3*g + x, 2*g - o*x = l. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - 1\/(-4). Let z(m) = m**2 + 5*m + 4. Let j be z(-5). Sort k, 5, j in increasing order.\nAnswer: k, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -12440\/4029?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -74*n**7\/105 - 109*n**3\/6 - 84*n**2 - 44. Let w(x) be the second derivative of p(x). What is the derivative of w(z) wrt z?\nAnswer: -592*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buuuuuubuu. Give prob of sequence ubuu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 50 = -7*h. Let a be (3\/(-9))\/(h\/(-630)). Suppose a = -10*y + 71. Solve -5 - y = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + i + 3*i)*(2*i**2 - 2*i**2 + 2*i**2)*(-5*i + 3*i - 3*i).\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0\/(z**(-3)\/z*z)*z**(-3)*z**(3\/4) assuming z is positive.\nAnswer: z**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 563681, 1127321, 1690961, 2254601, 2818241?\n\"Answer: 563640*d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 61*u - 39. Let c be x(21). Solve -q = -6 + c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*d - 10 = 0, 1216*d = -3*c + 1219*d - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421*m - 425*m + 68 = 0. What is the remainder when m is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/10)*m*m**(-2\/9)*m**(4\/13)\/m*m**2*m*m)**(4\/27) assuming m is positive.\nAnswer: m**(10262\/15795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 130\/18 - (-47 - -54). Which is the biggest value? (a) -4 (b) 26\/11 (c) q (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427 = 8*g - 387 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeyeey. Give prob of picking 3 y and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + 1 + sqrt(68)\/sqrt(4) + -3 + 2*sqrt(17)))**2.\nAnswer: -108*sqrt(17) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 523559*v. Let k(s) = -16*s**2. Determine p(k(d)).\nAnswer: -8376944*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 2*w + 2. Suppose -15 = -2*k + 7*k. Let d(f) be the second derivative of f**4\/12 - f**3\/6 + f**2 - 65*f. Calculate k*u(l) + 4*d(l).\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 11*o**2 - 5*o + 18. Let s(z) = -5*z**3 + 21*z**2 - 9*z + 35. Let f(b) = -7*n(b) + 3*s(b). What is the units digit of f(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a\/a**(-1\/7))))*a*a*a**(-6\/7))**(16\/9))**(-8\/3) assuming a is positive.\nAnswer: a**(-128\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(3*-2))\/((-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 29\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*y + 1775, -868 = 4*y - 6*y + 4*z. Suppose 2*d - 2 = 2*v - 158, 5*v = -5*d + y. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69935 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:44 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 91.\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*b = 292*b - 484 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -280*j**5 + 2*j**4 + 12096*j wrt j.\nAnswer: -5600*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11426872 to the power of 1\/2, to the nearest integer?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12717 and -0.057.\nAnswer: 12716.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 29*s + 75. Let j be l(-32). Let k be -5 + 26\/7 + (-6)\/j. Sort 0, -4, k, -5.\nAnswer: -5, -4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.7 - 16.66. Let c = -8.8 + 2.8. Let z = c + a. What is z rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 1144\/36) + (-4)\/18. Let l = r + 257\/7. Put 3, -0.4, l, 0.5 in decreasing order.\nAnswer: 3, 0.5, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6981926927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -16*n - 10. Let x(f) = -3*f - 1. Let a be x(3). Let i(h) be the first derivative of -3*h + 1 - 5\/2*h**2. Calculate a*i(c) + 3*q(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79713, -318871, -717457, -1275465, -1992889, -2869723?\nAnswer: -3905961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 2*z + 12. Let g = 0 + -50. Let x = z - g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4185255, -8370518, -12555781, -16741044, -20926307, -25111570?\n\"Answer: -4185263*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*((sqrt(6) - sqrt(24)) + sqrt(6)))\/(1*sqrt(12)))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z - 9. Let u = 34 + -36. Let p be n(u). What is the closest to p in 2\/9, 1\/3, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4321*o**2 + 3*o + 4. Let m(w) = 72*w. Determine m(a(q)).\nAnswer: 311112*q**2 + 216*q + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = -3*t - 0*s, 2 = -2*t + 4*s. Let b = t + 1. Let j(v) = b*v + 6 - 3*v - v + 0*v. Calculate j(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348*s**6 + s**4 - 2*s**2 - 7?\nAnswer: -41760*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -20*v - 2. Calculate s(3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 + 2*x**2 - 4*x**2 + (-2 - 2*x + 2)*(-2*x - 4 + 4) - x**2 - 2*x**2 + x**2 + (1 + x - 1)*(2*x + 2 - 2).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248722 is divided by 199.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 3, -5 in descending order.\nAnswer: 3, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 9\/2*x**2 - 10*x - 1\/12*x**4 + 0 + 13\/6*x**3. List the prime factors of u(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56158159 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - m**3 + 1 + 11 - 3*m**3 - 10*m - 13 to g*m**2 + v*m**3 + t + j*m and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*(-110)\/132.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2649 is divided by 869?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31675 divided by 5?\nAnswer: 6335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -127225257?\nAnswer: 127225264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b - 19. Let d = -20 + 27. Let l be r(d). Solve l*o = -0*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, 14, -3, -32, -15, 0.\nAnswer: -32, -15, -3, 0, 14, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 7312618?\nAnswer: 7312622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*o + 43*o - 2*o - 323 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 14*j. Let m(b) = b**2 - 2*b + 72. Let g be m(j). Calculate the common denominator of 41 and (-9)\/g - 10\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Let i(b) = 64*b + 63*b**2 + 64*b - 128*b. What is i(f(k))?\nAnswer: 252*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20593, 20585, 20565, 20527, 20465?\n\"Answer: -f**3 - f + 20595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*w = -2*w - 50, 3*j - 37 = -2*w. Let i = 18 - j. Suppose -i*c = -10*c + 98. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**3 - z**2 - 2. Let h(g) = -5*g**3 + g**2 + 2. Suppose 2*i - 50*o + 46*o - 30 = 0, 0 = i + o + 3. Determine i*a(b) + 4*h(b).\nAnswer: -2*b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, and 2 r when four letters picked without replacement from {r: 2, v: 1, h: 2, p: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6)\/i*i)**(-8)\/(i*i**(1\/4))**(-3\/11) assuming i is positive.\nAnswer: i**(221\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 3:54 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566609, 2263781, 5092401, 9052469, 14143985?\nAnswer: 20366949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 0)**2 + 5.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16288*d*q**2 - 20*d*q + 6*d - 2*q**4 + 18*q**3 + 976*q - 2 wrt q.\nAnswer: 32576*d - 24*q**2 + 108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from {y: 7, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:34 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -33. Let p(g) = -9*g + 1. Determine p(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 12) to base 14.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 38*t - 59. Give u(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (248 - (2 - 5)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 2 (b) 0.7 (c) -193\/18 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 1288 = -8*x. Calculate the smallest common multiple of x and 4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - c**2 - c + 5. Let l be n(0). Is (-224)\/(-10) - 2\/l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -236432*h**3*u**3 + h**3*u**2 - h**3*u + 439*h**2 - 2007*h*u**2 + u**3 - 2*u**2 wrt u.\nAnswer: -1418592*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 9*l + 36 = 0. Which is bigger: 13 or l?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 12, 3*o + 8*y = 4*y + 46. Let j(l) = 3*l**3 + 1. Let m be j(1). Suppose -8 - 8 = -m*f. What is the remainder when o is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 1 = -3*i. Let b be (i\/(-5))\/((-3)\/15). Let v(c) = 3*c - b*c + 4*c. Let m(p) = -4*p**2. Determine m(v(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(21 + 738\/(-36)). Suppose -3*k + 8 = -k. Solve -7 = -2*j + 2*l - p*l, 0 = -j - k*l + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35484*q = 35513*q - 997542. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6175363 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 38*d - 33. Let q be k(-37). Sort 5, 1, q.\nAnswer: 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ifihhhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 3. Suppose -s = -4*u + 1, -4*s - 2*u + 10 = -4*u. Let q(t) = -t + 4. Suppose -17 + 5 = 3*d. Calculate d*w(c) + s*q(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 + -42 + 99 - 15.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8145 and -87\/40.\nAnswer: 65160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-2\/3)*i*i)\/i)**14\/(i**3*i*i\/(i\/(i**(2\/9)*i))) assuming i is positive.\nAnswer: i**(121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (-4)\/1 - (7 - 28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c (base 16) in base 15?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*h - 6*h + 6*h - 5*h - 4*h in the form k + v*h and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248615 = 349*p - 1168*p + 535*p - 2333*p for p.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 848*m**3*u - 4*m**3 - 1963*m**2 - 491*u**2 - 7 wrt u.\nAnswer: 848*m**3 - 982*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 314377 + 3?\nAnswer: 31437a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22625 (base 7) to base 12\nAnswer: 3435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 3, r: 5}. Give prob of sequence frff.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1762165415 to the nearest integer?\nAnswer: 41978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v - 164517 + 27336 = 631179. What are the prime factors of v?\nAnswer: 2, 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1626 and 0.1.\nAnswer: 0.01626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102610 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6732 is divided by 104.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mava when four letters picked without replacement from {m: 3, t: 9, v: 2, a: 3}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4341 is divided by 807.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11760 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 69. Suppose -5*x + 1 = -3*i, 2*i - 16 = -p*i - 2*x. Find v, given that 2*v**3 + 4*v**2 + 0*v - v**i + 9*v - 5*v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -7. Let f be (-1 - 2)*4\/6 - x. Suppose 0 = -f*m + 3 + 205. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 0, 8*v - 3*v = -4*t - 36. Let x = 13 - t. What is the highest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k**2 - 4*k - 10. Let o be x(-11). Let u = 3592\/3 + o. Suppose -98\/3*r**3 + 154\/3*r**2 - u*r + 8\/3 = 0. What is r?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119896 and 21.\nAnswer: 359688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*h - 10 = -2*g, 3*g = 6*h - 3. Sort g, 2\/9, 2\/267 in increasing order.\nAnswer: 2\/267, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 356 - 2?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11 - 37 = -2*w, -2*h = -w - 28. Suppose -97 + 19 = -h*b. Are 0.3 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 21*a**2 + 25*a + 20. Calculate s(20).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/185 and -83\/6140.\nAnswer: 227180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -595056 divided by -196?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -18) + (1 - -3) - 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 464 + 81. List the prime factors of y.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120757 by -3.\nAnswer: 120757\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**3\/3 + 2*m**2 + 9. Let z(h) = -h - 3. Let u be z(-6). Suppose 2*a = u*a - 2. What is v(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.31 + 1.59. Let w = 17.7 - t. Round w to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62456\/11 - -5709. Let i = 31 - q. Sort 0.5, 2, i.\nAnswer: i, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(-f - 2*f - 26*f)*(-f + f - 2*f) - 21*f**2 - 3*f**2 - 8*f**2)*(-3 + 5 - 3).\nAnswer: 90*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 4*k + 3, 5*s + 0*k = -5*k + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 15*m + 16. Let g be r(9). What is the derivative of 63 + 59 - g + 4*k**2 wrt k?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 12:02 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 17 + 5 + -6. Suppose n = 4*l - j, -7 = 2*l + 3*n - 29. Let x(h) = -h**2 - 2*h + 6. Calculate x(l).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 530. Round w to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 5)*(0*q + q + 2*q) + q + 0*q + 0*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081333.\nAnswer: 19, 214807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 equal to -12946862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2 + 3*j. Let s(u) = -20*u. Calculate s(k(b)).\nAnswer: -240*b**2 - 60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 2. What is n(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-7 + -22 - 3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 2*m**2 + 5*m - 2. Suppose -6*c - 9*c + 45 = 0. Calculate v(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -114*j + j**2 + 114*j - 8. Let x(t) = -1. Suppose 10 - 4 = -f. What is f*x(r) + a(r)?\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-68)\/12 - -3 - 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 12*s**2 - 28*s + 712. Give r(15).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 7. Let v be m(-4). Suppose -2*u + 5*u = v. What is the smallest common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 0*d**2 - 4*d**2 + (-2*d - 3*d + 3*d)*(-5*d + 2*d + d) + 4*d**2 - 2*d**2 - 5*d**2)*(-d**3 - d**3 - 3*d**3).\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274 and 959.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-6)*u**(9\/8) assuming u is positive.\nAnswer: u**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/24 - 3\/8. Let m be (-3*(-3)\/6)\/(-3). Let c = m + 1\/4. Sort u, -2, c.\nAnswer: -2, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9)*3 - -12. Suppose -4*u - 8 = 0, -3*f + 5*u + 12 + n = 0. Let r = -258011 - -258014. Solve f*p + 29 = -r*t - 0*t, -4*t - 32 = 4*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011103 + -21313023?\nAnswer: -12301320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 800 - 802. What is the closest to 0 in -0.06, -5\/3, q?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*x - 285*x = -15. Suppose -x*y + 759 = -966. What are the prime factors of y?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 8*v + 677 = -r, -4*r + 3349 = 5*v. List the prime factors of v.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -41, -64?\n\"Answer: -23*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -94. Let f = d + 0.9999746. What is f rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -2*m + 5*l - 56, -3*m - 16*l + 20*l + 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.787122 to two decimal places.\nAnswer: -66.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*q**3)*(-2 - 2 + 2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 173?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3.9, 0.5, 151 in increasing order.\nAnswer: -3.9, -0.3, 0.5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -289 - -575\/2. Which is the third biggest value? (a) -17 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from eqegqqedee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttpp when four letters picked without replacement from pptppptpptppppptttp?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5 + 5*m**4 - 20*m**3 - 20*m**2.\nAnswer: 5*m**2*(m - 2)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/90 and 19\/(-5) + 4 + (-158)\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2 + 17*n + 73. Let r be m(-3). Determine s so that 48\/7*s**2 - 2*s + 4\/7*s**3 - 12\/7 + 10\/7*s**5 - 36\/7*s**r = 0.\nAnswer: -1, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 82*c**2 - 159*c - 316. Is s(75) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -11*o - 140. Let m be ((-55)\/o)\/((-48)\/14). Let i = 1\/8 - m. What is the second biggest value in 21, 1, -5, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-15)\/(-22))*(-57)\/(-304)*8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + 1*sqrt(27) + 2*(sqrt(54)\/sqrt(2) - sqrt(27)) - -1*(sqrt(972) + (sqrt(972) + sqrt(972) + sqrt(972)*-3 + sqrt(972))**2))*-2.\nAnswer: -42*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 1017223*q + 3051714.\nAnswer: -(q - 3)*(5*q + 1017238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29d442 - -5?\nAnswer: 29d447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuumqza. Give prob of sequence uam.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1527 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28709, -28707, -28703, -28697, -28689, -28679, -28667?\nAnswer: -28653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10441803*c**2 + 14536359*c?\nAnswer: -20883606","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 9*k + 7. Is w(10) 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 211878751?\nAnswer: 7, 30268393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6*m - 371 = -59*u - 66, 5*m - 15 = -14*u + 10*u + 3*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (82797\/143)\/(-193)*1\/315?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 2*b**2 - 2*b**2. Let x(f) be the second derivative of 0*f**2 + 1\/12*f**4 + 0*f**3 - 7*f + 0. Give k(x(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-9)\/6) - (-3)\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.41879ug to grams.\nAnswer: 0.00003141879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -456*x - 12316. Determine d(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 8 (c) 1\/9 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 1. Let a be h(-1). Let k = -5 - -8. Let b be (8 + -9)*(1 - k). Is a < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, u: 2, h: 4}. What is prob of picking 1 u and 1 b?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1247*f - 95215. Give w(77).\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16 - 10)*(28\/9 - 3). Let z = 2141\/1780 - 1\/356. What is the third smallest value in 0.4, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - 3*w + 4. Let n(l) = 2 - l**2 - 2 + l - 1. Let m(g) = 4*n(g) + y(g). Let j(a) = -3*a**2 + 3*a. Determine 2*j(h) - 4*m(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4 + 26*u**3 + 84*u**2 = 0.\nAnswer: -7, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*v - 462 = 537*v - 1003*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6937 (base 10) to base 3\nAnswer: -100111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39675 * 24.9\nAnswer: 987907.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55155 a multiple of 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 1c1?\nAnswer: 1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 27*g = -45*g - 196 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-2 + 6 - 1). Suppose s = -2*m + o + 12, -2*m = -5*m - 2*o + 32. Suppose 4*p - 3*y - 3 = -7, -p - m = y. Sort -5, -2, p, 12 in ascending order.\nAnswer: -5, p, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/11*(-10)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 8*f**2 + 10*f + 22. Let h(i) = -4*i**3 + 14*i**2 - 20*i - 43. Let s(v) = -5*g(v) - 2*h(v). Let s(j) = 0. What is j?\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10035 = 383*c + 1072 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277 - 277.191. Are l and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h + 2*h - 5 + 0*h + 4*h. Let v be w(3). Solve 5*o = -v - 11, 5*o + 11 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 272 = u. Let i = -81 + u. Calculate the remainder when i is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 9:11 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46576360 divided by -4.\nAnswer: -11644090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90.9 + -98. Let j = -7 - o. Which is smaller: -9 or j?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 119 = -5*d + 116, 4*d - 2*s - 182 = 0. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 85*n - 35. Let r(v) = 7*v - 3. Let f(d) = 2*q(d) - 25*r(d). Give f(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-20)\/(-6))*3. What is the greatest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195.8 + 184. What is h rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 35*a + 151. Let r be j(7). Let l(x) = 5*x**2 + x + 4. Let i(s) = -6*s**2 - s - 5. Calculate r*i(d) + 5*l(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 27 - 16)*(20 - 26*f - 20) + (-4*f + f + 2*f)*(-2 + 2 + 2).\nAnswer: -1484*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 - 2*a**2)*(3 - 3 - 2)*(68 - 43 + 54 - 2*a).\nAnswer: -8*a**3 + 316*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42 and 45\/1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 10*q - 13*q. Do q and -26 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 - m - 3. Let b be i(-1). Suppose -627 = -b*z + 534. What are the prime factors of z?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 2 - (-22 - -7)) + (8 - 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 1151 - 655 = 0. Suppose 14*q = y + 63. What is the remainder when 84 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2504 - -0.50128. Round m to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12840 (base 10) in base 15?\nAnswer: 3c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 6*u = -127320. List the prime factors of u\/(-18) + ((-132)\/(-54))\/11.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*k**2*z**3 - 9*k**2 - 1039*z**3 wrt k?\nAnswer: -36*k*z**3 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-24)*30\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-195)\/225)\/13)\/(957\/290)\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/2241912 and 83\/12517342.\nAnswer: 150208104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -14077 and -15072 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s - 11. Let u(q) = q + 11. Let f be u(s). List the prime factors of 37 + (f\/(-4))\/1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0)*(-1 - -3). Find the second derivative of 2*n + 4*n + k*n**5 - 6*n + 6*n wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1750545 by -3.\nAnswer: -583515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 215, -47.\nAnswer: -47, 0, 4, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2\/9)*t\/(t*t**(-1)\/t)*t*(t*t**(-10)*t)\/((t**(1\/14)\/t)\/t) assuming t is positive.\nAnswer: t**(-233\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 71*a**2 + 5*a. Let s(y) = -462*y**2 - 33*y. Let o(d) = 33*c(d) + 5*s(d). What is the tens digit of o(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.379 + -26.379. Let l be (-2)\/(-4)*(-3 - -7). Let m be ((-2)\/1)\/((-2)\/3). Which is the nearest to 2? (a) m (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by 146?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(84) + (sqrt(84) - (-3*sqrt(84)*-2 - sqrt(84))))\/(sqrt(60)\/(sqrt(5) + sqrt(30)\/sqrt(6) - sqrt(5))) + 4.\nAnswer: -3*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**2 + 12. Let k(r) = -r**2 + 2. Let v(g) = -6*k(g) + y(g). Let p(h) = -5612*h. Give v(p(c)).\nAnswer: -31494544*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 - 108021*p**2 + 7976670*p + 16385448 = 0 for p.\nAnswer: -2, 76, 35933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/(((-3870)\/1488)\/43)*(-1)\/2?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23da1 - -5?\nAnswer: -23d9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 41 + 75 = -6*i, 4*i = -4*d - 36 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = -43 + 10. Sort -28, -2, d in increasing order.\nAnswer: -28, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.21 rounded to 1 decimal place?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -104. Suppose -7*k + o + 29 = 0. What is the greatest common factor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, 11, 0, 20845, -6 in decreasing order.\nAnswer: 20845, 11, 2, 0, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**3 + h**2 - 3*h - 5. Calculate u(-2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 167665*m - 1006152. What is g(6)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.2 + 45. Sort 0.3, -0.3, 5, b in descending order.\nAnswer: 5, 0.3, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 752.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 1209 = -1227 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 114\/10 - ((-126)\/35 + 3). Suppose -x*p + 5715 = 3*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -210 - -210. Let g(k) = 3*k**2 - 1. Let p(b) = -16*b**2 + 5. Let y(f) = 11*g(f) + 2*p(f). Determine y(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 21*t - 273. Suppose 0 = 4*j - i - 68, -3*j - i - 3*i + 32 = 0. Does 3 divide n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38903, -155639, -350197, -622577, -972779, -1400803, -1906649?\nAnswer: -2490317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3*m + 2. Suppose -20 + 58 = 2*g. Suppose -2*h - 5*f + g = 0, -3*h + 20 = -2*h - f. Calculate the remainder when h is divided by c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01366 - -1204387\nAnswer: 1204386.98634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76979 - 17179 = 598*z for z.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -609*g**3 + 4*g**2 - 5. Let s(o) = 2*o**3 + o**2 - 1. Determine -a(m) + 5*s(m).\nAnswer: 619*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/4)\/(1\/3). Let y(a) = 14*a**2 + 18*a + 1. Let v(m) = 2*m**2 + 2*m - 1. Let r(t) = 6*v(t) - y(t). Let d be r(-3). Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4738\/30797)\/((-1)\/9).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9)*z\/(z\/z**4*z))\/(z**3\/(z*z*z**(3\/5))))\/(z\/((z*z**(-4))\/z)*z*z\/z**(1\/10))**(-16) assuming z is positive.\nAnswer: z**(1015\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2. Let g(b) be the first derivative of -39*b**2\/2 - 6*b - 3241. Calculate a(g(o)).\nAnswer: -1521*o**2 - 468*o - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/40 + 96\/320.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 501 + -410.4. Let w = j - 91. Which is the second biggest value? (a) w (b) 4 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/12 + 2*g**3\/3 + 5*g**2\/2 - 10*g - 8. Let w(m) = 3*m. Let s be w(5). Suppose 0*k - s = 3*k. Calculate v(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 44, 223868 in decreasing order.\nAnswer: 223868, 44, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 29*t - 93. What is p(-11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggggrgg. Give prob of picking 1 r and 3 g.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -4)*54\/(-12). Solve -m = 3*x - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*s + 5, -4*i - 3*s + 5 = 2*s. Let x(v) be the second derivative of 0*v**4 + i + 0*v**2 + 0*v**3 + 7*v + 1\/80*v**5. Factor x(u).\nAnswer: u**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:12 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8722937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/((-5)\/25). What is the nearest to g in 0.4, 1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*p + p**3 + 6997*p**2 - 3*p**3 - 6943*p**2 - 12 wrt p.\nAnswer: -12*p + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5654 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, -3, 2, 0.3, -1\/3683, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 3*y**2 + y**3 - 6*y**3 + 3*y**3 + 0*y**3 + (y**2 + 3*y**2 - 2*y**2)*(-2*y + 4*y - 4*y) - 6*y**3 + 13 - 13.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3885 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = h - 24, 8 = 24*y - 25*y. Calculate the greatest common divisor of h and 11728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/4 + 7*c**3\/3 + 2*c**2 - c - 3607. Calculate h(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2 + (-15)\/(-8)). What is the units digit of (1\/(-2))\/(4\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 15*c + 1410. Calculate h(-45).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 5) in base 7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4*k - 3*k - 5)*(-k**3 + k**3 + k**3) - k**4 - 2*k**4 + 5*k**4 to the form m*k**4 + w + b*k**3 + q*k**2 + f*k and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 594.422 - 0.422. Let w = -594.114 + f. Round w to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 3*r + 4. Let h = 23 - 28. Let g(o) = 3*o**2 + 15*o - 6. Let x be g(h). What is d(x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 427 - 181. What are the prime factors of a?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 305 - 267 - (-8 + -16)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = -4*g, -4*p - 170 = -4*g - 186. Suppose 0 = -l + 5*r + 1020, 3*r + p = -4. What are the prime factors of l?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 + 29 = 0. Let b(u) = 3*u - 18. Let i be b(h). Find the second derivative of w + 9*w**2 - 2*w + 2*w + i*w wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -6 (c) -4 (d) -2\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from {w: 10, o: 6, m: 2}?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/7 + (-2 - (-8710)\/35). Let x = 279 - a. What is the greatest common divisor of 320 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.348017 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.17 + -0.99. Let o = -0.18 + k. Let v = -0.3 + 0.2. Which is the second biggest value? (a) v (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.285 - -25.915. Let y = s - 7.8. Let n = y - 17. Round n to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 10*d - 4 + 11 - 1. Is l(4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.0346 times -1.1?\nAnswer: -30.83806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwzwmwwww. Give prob of picking 1 z and 1 w.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77621.46 grams in nanograms?\nAnswer: 77621460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvktkkkpppvkvkkk. Give prob of sequence vkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 5:15 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + 0. Let j = 6.5 + -5. Let q = -1.5 - j. Sort 1\/2, q, b in descending order.\nAnswer: 1\/2, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*a - 0*z + 4*z, 3*a - 5*z = -20. Suppose -5*h - 4*j + 228 = 0, a = 3*h + h + 3*j - 182. What is the least common multiple of 4 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.07 - -1. Let z = m - -3.07. Put -0.3, z, 0 in decreasing order.\nAnswer: z, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136602163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3693 - -3801. Calculate the remainder when 368 is divided by b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23520 - -1223255\/52. Let y = -3\/26 - z. Calculate the common denominator of 25\/18 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 5*h**8\/168 - h**5\/6 + 5*h**2 + 4*h. Let w(n) be the first derivative of i(n). What is the third derivative of w(l) wrt l?\nAnswer: 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, 3, 0.4, 0 in decreasing order.\nAnswer: 3, 0.4, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/9, 4, 10, -6, -2\/5 in descending order.\nAnswer: 10, 4, 0, -2\/9, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 29, -260, -264, -2 in descending order.\nAnswer: 29, 8, -2, -260, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19652*h + 1921*h - 1 + 2.\nAnswer: 21573*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 2. Let x be a(3). Let c(v) = v + 7. Let h be c(-5). Suppose -h*r - x = 0, 7*l - 88 = 4*l + 2*r. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 198.45859?\nAnswer: -198.55859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/45)\/((-580)\/145*(-1)\/(-44))?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -75 - (10 + -83 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 446, 2609, 6190, 11183, 17582, 25381?\n\"Answer: -u**3 + 715*u**2 + 25*u - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (-373)\/(-2) - 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.50815 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -5960.8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -17*r**8\/336 - 3*r**7\/35 + 1111*r**4\/24 + 1353*r**2. What is the second derivative of i(j) wrt j?\nAnswer: -340*j**3 - 216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10670*a**3 + 4302*a**2 + 2*a.\nAnswer: -64020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169 and 28158.\nAnswer: 366054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 57030*l\/11.\nAnswer: -2*l*(l + 28515)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -0 + 152 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 10. Let j be r(6). Let a be (-110)\/(-40) + (-1)\/j. Solve -a*c - f - 12 = 0, -4*c + f - 18 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000888575456 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -400+0.94\nAnswer: -399.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118642286 rounded to 4 decimal places?\nAnswer: -0.1186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, k: 1, r: 1, y: 2, h: 1, c: 2}. Give prob of sequence crkh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.52 + -0.5. Let l = t - 0.12. Let f = 0.55 + -0.95. Which is the nearest to l? (a) 0 (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7\/5)*u*u**(6\/13)*u\/((u*u\/((u*u\/(u**11\/u)*u)\/u)*u)\/u)*u*(u\/(u**6*u))\/u assuming u is positive.\nAnswer: u**(-971\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*g + 2*u, 2*g + 3*g = 4*u + 10. Suppose -g*k = 50 - 122. Calculate the highest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n. Let k be f(2). Suppose w + 12 = 4*b - 2*w, -4*b = k*w + 16. Let s be (3*(-3)\/15)\/(-1). Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233 + -227. What is the remainder when 178 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*p - 211*p = -437. Let x be 18\/(-12) + 3\/2. Suppose -5 = -z - x. Solve o - 1 = 2*d + 1, -z*o = -d - p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - m + 2*z - 16 = 0, 4*m - 2*z = -12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (10 - 0) + -14 + -22?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 21 + 18 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1170)\/(-20)*(-4)\/(-6). Suppose 0 = 35*u - p*u + 228. Differentiate -49*j**3 - 16 + u - 15 with respect to j.\nAnswer: -147*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3769.\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4 - 17*p**2 + 4*p**3 + 2*p - 19*p - 4*p**3 + p**3. Let h be a(18). What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:25 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 19. Let t(y) = -19 - 4*y**2 - 19*y - 32*y + 51*y. Let f be 12*(2\/4)\/1. Let j(g) = f*t(g) - 7*h(g). What is the derivative of j(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.082089 * -89.\nAnswer: 7.305921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 48*h**2 + 31*h - 246. Give q(22).\nAnswer: -1500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2711812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4740?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + o**2 - 1 + 7*o - 6*o. What is the remainder when m(-2) is divided by 34\/6 - 2\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*h - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7141338*m - 7223732.\nAnswer: -7141338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 27. Suppose -d*u + 20 = -u. Solve c + u - 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 5*a**2\/2 - 87. Let b(d) = d**2 + d. Let l(n) = -23*n**2 - 2*n. Let m(k) = -2*b(k) - l(k). Calculate m(h(i)).\nAnswer: 525*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110001001011100 - -1000010010?\nAnswer: -111110000001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135378950?\nAnswer: 2, 5, 7, 181, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 - 9*p**2 - 8*p - 11. Let s(v) = -v**3 + 5*v**2 + 5*v + 6. Give -4*c(x) - 7*s(x).\nAnswer: -5*x**3 + x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/9, -0.3, -2\/209, 6?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, h: 2}. What is prob of sequence zh?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/11*y**2 - 4\/11*y + 4\/11*y**4 + 1\/11*y**3 + 1\/11*y**5 + 8\/11.\nAnswer: (y - 1)**2*(y + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1846097 divided by 803\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0313199 to three decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/336 and 37\/462.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1 + 0*y + 2 - 3*y - y**2. Let t be l(1). Let b(k) = k**3 - 5*k - 5. Let j(s) = s - 19 + 18 - 2*s. What is t*b(p) + 15*j(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-621))\/(-1*1\/1).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -541524212*0.3\nAnswer: -162457263.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7116 and 4.06?\nAnswer: -28890.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 + 6*u**2 + 0*u**2)*(-u + 2 - 2) + 25*u**3 - 11*u**3 + 59*u**3 - 9*u**3 to r*u + b*u**3 + a + q*u**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*r**2 + 4*r**2 + 0*r**2)*(-3 + 2*r + 3) - 2 + 2*r**3 + 2 in the form o + y*r**2 + b*r**3 + g*r and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3776017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3258)\/(-7240))\/(216\/15)*-6?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2197080 or 2197082?\nAnswer: 2197082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 60966.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 8*u - 2. Calculate the smallest common multiple of 33 and g(-4).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.466561 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbx when three letters picked without replacement from {f: 6, g: 3, b: 1, x: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -688*y + 1 - 696*y - 696*y + 2060*y. Let c(n) = 9*n - 5. Calculate u(c(t)).\nAnswer: -180*t + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (0\/4 - 6). Suppose d + q*d - 10 = p, 10 = -5*d - 5*p. What is the third derivative of 7 - 7 + d*x**4 - 7*x**2 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 71 = -a, 0 = -3*a - 0*q + q + 181. Suppose 3 = 4*l - a. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 44939499.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1950704 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/62? (a) -5\/6 (b) 5 (c) 189 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from poppuuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**2 + 7031 - 7031.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3752 = -331*g + 63*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**3 + 22*d**2 - 86*d**4 - 85*d**4 - d**3 - 23*d**4 + 48*d wrt d.\nAnswer: -4656*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - x - 2 = 0, -7*i + 2*i + 3*x = -8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 8. Let h(w) = 3*w - 7. Let a = 27 - 23. Let k(o) = a*h(o) - 3*d(o). Let t = -1149 + 1154. Let x(r) = 3*r - 5. Determine t*x(u) - 6*k(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {i: 1, n: 2, f: 3, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from -6314823.\nAnswer: -6314809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 582484 and 355.\nAnswer: 2912420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1814, 1817, 1822, 1829?\n\"Answer: a**2 + 1813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 64*t**4 - 28512*t**3 + 14228*t**2 + 5340*t = 0.\nAnswer: -1\/4, 0, 3\/4, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10148 divided by 59\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11939, 23843, 35711, 47543, 59339, 71099?\n\"Answer: -18*s**2 + 11958*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4.1. Are m and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/2 - 5*b**3 + 9*b**2\/2 + 16*b + 283. Calculate d(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (4 - 4)) + (3 - -24).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2194208*p*v**2 + 1483254*p*v wrt v.\nAnswer: 4388416*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(8\/132)*(-1)\/3. Let d = 25 + -15. Let u = l - d. Which is greater: u or -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {m: 7, v: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(a + 0 + 0)*(-40 - 13 - 43) in the form r*a + l and give r.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1) - (1\/3)\/(-1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**6\/15 + v**5\/60 - v**4\/12 + v**3\/6 - 13*v**2. Let o be b(1). Let c be (-38)\/o + 8\/32. Solve -8 = m - c*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 8*d - 5. Let r(q) = 4*q - 46. Let o(p) = 8*p - 20. Let n be o(7). Let t = 46 - n. Let s be r(t). Give k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**8\/84 - 2*i**7\/5 + 3*i**6\/5 + 414*i**5\/5 - 1755*i**4\/2 + 4050*i**3 + 418*i**2. Factor h(o).\nAnswer: -4*(o - 3)**3*(o + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/42 - (-80)\/(-182).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*g - 20, g - 693 = 3*u - 678 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (771\/2827)\/((-2)\/(-22)) - ((-147)\/5)\/(-7)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*i**3 + 594*i**3 - 1169*i**3.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -205 + 517. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 16*i = 338. What is the greatest common divisor of 39 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g = -17*g - 120. Let r = 105 + -75. What is the lowest common multiple of r and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q - 1. Let o(u) be the first derivative of -9*u**3 + 4*u**2 + 4*u + 20. Let i(s) = 4*k(s) + o(s). What is the second derivative of i(l) wrt l?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 10227775.\nAnswer: 1\/10227775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252181 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 276\/18*(-3)\/(-2). Let k = 22 - t. Let p(a) = 3*a + 2. Let y(j) = -j. Determine k*p(n) - 2*y(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21627895.\nAnswer: 5, 4325579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f + 11*f**2 + 4*f - 5. Let a be g(11). Let z = a + 8. What is the smallest common multiple of 10 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/555 + 5009\/7770. Calculate the common denominator of z and (57\/(-152))\/(27\/(-508)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 5*n**2 - 6. Let g be o(-6). Suppose -5*f = -0*f + g. Let s(c) = c**3 + 6*c**2 - c - 3. Determine s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5025396 is divided by 239303?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1399816 and -2\/693.\nAnswer: 88188408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/9 + 40*i**2 - 812*i - 2808.\nAnswer: -4*(i - 54)*(i - 39)*(i + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1\/28 (c) -239 (d) 4 (e) 2\/3 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4318823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117*m + 10*m**2 + 3*m**2 + 106*m**5 - 505*m**5 - 3*m**2 - 472*m**5 wrt m?\nAnswer: -52260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**2 - 6*q - 3. Calculate t(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11705.\nAnswer: 5, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36120, -73785, -112992, -153741, -196032, -239865, -285240?\nAnswer: -332157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 12 = -2697*d + 2700*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26451485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -191*w - 53. Let z be k(-16). Suppose -z = -4*y - 1639. Does 67 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.3, 0.172, 0.5?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/56*4)\/((-1)\/6). Suppose 2*q = k - m*q + 4475, 0 = 5*k - 4*q + 22480. Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = 21*x - 575. Let h be 3\/18 - x\/30. Solve -3*p = -p + h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = b - 1, 59*b - 63*b + 5*k = -25. Let l be (1 - (-8)\/6)*-3. Let c = l + 11. Solve 0 = b*h - c - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 2, k: 11}. Give prob of picking 1 s and 3 k.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*c**3*k + 886895*c**3 - 287288*c*k - 120*c wrt c.\nAnswer: -294*c*k + 5321370*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let n(k) = k**2 + 28255. Give u(n(s)).\nAnswer: -s**2 - 28255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 16 = -2*l, l + 8 = -2*c + 1. Let y = l + 22. What is the remainder when y is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 443*s**7\/42 - 70*s**4\/3 - 730*s. What is the third derivative of t(a) wrt a?\nAnswer: 26580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 350?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 + -60. Find the third derivative of -24 - w*t**2 - 24*t**3 + 24 wrt t.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*v = 3, 0 = 5*n - n - 5*v - 32. Suppose n*w - 3 = 3. Let q be (0 + -3 - -2) + 3. Solve 0 = -w*g - q*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = d. Let j(l) = l**2 - 3*l - 7. What is the remainder when j(-4) is divided by ((-36)\/(-16))\/(d\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1027 + -1008. Let u(a) = a + 4. Let b be u(3). Solve -4*g + b + 9 = -3*x, -z = 5*x + g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302579.4 months to centuries.\nAnswer: 252.1495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7214865\/13 or -554989?\nAnswer: -554989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78 - 43)*(-3)\/7 - -22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 0*o**4 + 0*o**6 - 5\/42*o**7 - 2\/3*o**3 + 3*o + 0 + 0*o**5 + 0*o**2. What is the second derivative of q(l) wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1150328486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87431*d*z + 36842*z + 1 wrt d.\nAnswer: -87431*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 24 = h - x, 0 = -4*h - x + 12. Suppose 4 = 2*o, -4*o + h = 4*z - 2*z. Let d(s) = -3*s - 2. Give d(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84673? (a) -2.1 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 w when three letters picked without replacement from {a: 3, p: 2, w: 9, j: 5}.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j + 2. Let u(t) = -2*t + t + 6*t + 2*t - 6*t - 1. What is -a(v) + u(v)?\nAnswer: v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2. Let s(f) = 4100*f. What is s(u(j))?\nAnswer: 20500*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.0656 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5848\/(-43)*(1 - 0)*(0 + (-7)\/14)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 1516, 4, -13, -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228593*p**2 - 45961*p**2 + 15257*p**2.\nAnswer: 197889*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 45. Let m(u) be the third derivative of -u**4\/12 - 15*u**3\/2 + 4*u**2. Let s(q) = -5*m(q) + 4*y(q). Is s(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 5*m + 42. Determine s(8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.17 + -14.686. Let s = -0.516 - i. Sort 53, s, 0.3.\nAnswer: s, 0.3, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.837 + 0.113. Let q = h - -0.05. Let b = -279\/56 - -34\/7. What is the biggest value in b, 1, -5\/6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/273277, -4, -4\/5 in descending order.\nAnswer: -2\/273277, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3311 + 3310.997495. What is o rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1242*t**3 + 24*t**2 + 2014. Let n(h) = -2484*h**3 + 40*h**2 + 4028. Let r(b) = -5*i(b) + 3*n(b). What is the derivative of r(c) wrt c?\nAnswer: -3726*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) 0.094 (b) -1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 3. Suppose 0*x = -3*x - 9. Let o be h(x). Suppose 0 = -i + 4*i - o. Solve y = -a - a + i, -2*a = 2*y - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 + 9 = 0. Let s(j) = j + 14. Let q be s(z). Suppose p = q*p - 127. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 2, s: 2, u: 1}. Give prob of sequence la.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -5. Let m be 130\/4*(h - 14). Calculate the greatest common divisor of 26 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.6113242 - 2.\nAnswer: 26.6113242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78633\/(-3 - 0)*1. Let x be a*4\/(-12) + -4. Let t = -5800 + x. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*b + 86*b = -16587050. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7812*t + 3029. Does 14 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 252*x**2 + 6*x - 8. Does 15 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -196, -376, -556, -736, -916, -1096?\n\"Answer: -180*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/4715 and 60\/287?\nAnswer: 33005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23328411 is divided by 799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -0*k - 5*k - 4*n, 3*k - 16 = -n. Suppose -13 = -g - k. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 7 (c) 3\/4 (d) 0.1 (e) 5 (f) -4\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-95)\/90)\/(-19).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3\/4 + 3\/4*f**2 + 3\/4*f - 3\/4*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 86.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 47, 107, 223, 413, 695, 1087, 1607?\nAnswer: 2273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-20))\/(2\/60). Suppose 0 + t = -3*r. Is 7 a factor of (r\/(-4) + 0)*(-336)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -67 + 13. Let b(p) = p**3 - 4*p**2 + 19*p - 26. What are the prime factors of b(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 10, 4, -3, -55?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4*n = -0*z - 5, -3*z - 30 = -3*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/6 and -61\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104094 rounded to 4 dps?\nAnswer: 0.1041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3024.444 and 160.\nAnswer: 483911.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6876 + -257?\nAnswer: 6618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771114.\nAnswer: 2, 3, 128519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545840 (base 10) to base 2.\nAnswer: 10000101010000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009356 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**2 - 2*t**2 - t**2 + (-13 - 18 + 11)*(t**2 + t**2 - 5*t**2).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d + 46 = a + 66*d, d - 38 = -2*a. Solve -4*g = -a*p + 21*p + 12, 0 = 5*g + p + 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.3 - -24. Which is the biggest value? (a) -4 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3314*y**3 + 2 - y**2 - 2104*y**3 - 1832*y**3.\nAnswer: -7250*y**3 - y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61.7 in -1\/7, 2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4712a6 (base 13) to base 5.\nAnswer: -413002040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/(-21) - 4\/(0 + -2). Put -1\/6, -1\/4, 1, h in descending order.\nAnswer: 1, h, -1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4 + 83*p**3 - 80*p**2 - 164*p = 0.\nAnswer: -1, 0, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y. Let g(u) = 11233*u - 5922. Let l(c) = 137*c - 72. Let m(v) = -4*g(v) + 329*l(v). What is p(m(z))?\nAnswer: 1269*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 4*r**2 - 5. Let f = 6 + -4. Suppose 8 = f*p - 4. Let z = -10 + p. What is h(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/5 - 112*i**3 + 23520*i**2 - 2195200*i + 76832000 = 0. Calculate i.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 35 = -5*c - 8*l, 3*c = l + 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -733\/7, -1, 1\/3?\nAnswer: -733\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63157 - -2?\nAnswer: -63155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = -2*w + 5*k + 88, -121 = -3*w + 5*k. Suppose -3*x + 15 = m, -3*x - 4 = -3*m - 19. Calculate the remainder when w is divided by ((-6)\/x)\/((-4)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1827 by 609.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 12*x + 22. Let q be l(-11). Suppose 18 - q = i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-one quarters of a meter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p*p)**26)**(1\/4)*p**(-2\/11)*p**(-3\/5)*(p**(1\/2))**(-5) assuming p is positive.\nAnswer: p**(177\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.59783 years to months.\nAnswer: 415.17396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9108 and 2646.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k + 2*x + 46, -29 = 4*k - x. Let o be k\/6 + 413\/(-21). Let y = o - -26. What is the lowest common multiple of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26\/(-4))\/(2\/(-4)). Suppose a + 11 = 4*v. What is the least common multiple of (-136)\/(-14) - v\/(-21) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 43, -0.3, -0.013, -4, 5, 12\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5654 is divided by 810.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/13 in -1\/4, 11, -2\/9, -16, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -7418.4\nAnswer: 4451.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*m + 487, x - 469 = -5*m + 22. Let i be 70\/m*(2 - 1). Is i less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -19*o**8\/56 - o**4\/3 + 9*o. Find the third derivative of f(z) wrt z.\nAnswer: -2280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16 - -0.16. Which is the second smallest value? (a) 2\/9 (b) -3\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 5:16 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 2*g. Let n be i(-3). Suppose 5*q + 33 = 3*f, 3*q = 3*f - 8*f + 21. Let r be ((-4)\/n)\/((-1)\/f). Solve -r*w = w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169\/2 + -83. Let d = p - 1. Let m = 0.6 + -0.7. Do m and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -102*l + 5896. Determine s(61).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s + 15 - 15)*(3*s - 4*s + 0*s) - 1 + 1 + 2*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 636 - 639. What is the closest to -1 in -5, 3\/10, j, -4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43665709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -861096 divided by -8\nAnswer: 107637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(9) + sqrt(18)\/sqrt(2) + sqrt(9))*3)\/(6*(sqrt(3) - (sqrt(3)*1 + sqrt(3)))) + -3*(0 + sqrt(432) + sqrt(432))*3).\nAnswer: -1305*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6385984 less than -777.3?\nAnswer: -6386761.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r - 263. Give s(-36).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-74)\/6)\/((-2)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 20*w. Let q(j) = 161602*j + 409*j**2 - 161602*j. What is u(q(t))?\nAnswer: 8180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5152 and 1650112?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from xkkxxxkkkkxk.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let o(m) = 101*m**2 + 2. Give h(o(q)).\nAnswer: -202*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*r = -82*r - 86*r. Put 1, -5, r in increasing order.\nAnswer: -5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23441762 divided by -11720881\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173413354, -173413366, -173413386, -173413414?\nAnswer: -173413450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*f + 235 - 19. Let c be f\/28 - ((-138)\/(-42) - 3). Solve -5*w + w - 8 = c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 24. Calculate the lowest common multiple of 14 and w(0).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-52)*(-13024)\/(-444)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 divided by 2?\nAnswer: 297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2\/11 (c) 3\/154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15764 divided by -563?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9485562 millennia in years?\nAnswer: 948.5562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*-3*6*(-3 + sqrt(52)\/sqrt(4))*-6 + 2.\nAnswer: -648*sqrt(13) + 1946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 23. Give m(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 2, d: 3}. What is prob of sequence ddd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179012589.\nAnswer: 3, 7, 971, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24002?\nAnswer: 2, 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285934*z - 1286540*z = -67872 for z.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2896 and 905.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 + 36. Let m = q - -37. Let h = m + 74. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111123 + 0?\nAnswer: -1111123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + 80\/(-96).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 - (-1 - -3 - 5)) + (8 + 16 - 28)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2314543759?\nAnswer: 11, 210413069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l + 5. Let m = l + -1. Let n(j) = 3*j**2 - 2*j**2 + m*j**2. Let u(v) = -v. What is n(u(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 g when three letters picked without replacement from cjiivjjjgjvjjjkjjc.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102427 + 102425. Let p(y) = -y - 1. Let s(f) be the third derivative of f**5\/30 + f**4\/24 + f**3\/6 - f**2. What is c*p(o) - 2*s(o)?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19885731 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 59.5. Let h = -6.8 + 0.8. Which is the second biggest value? (a) -0.3 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 at most 1252\/1623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2418096\/13 or -1.1?\nAnswer: -2418096\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 6*i + 45. Let a be w(-4). Let m(q) be the third derivative of 0 - 1\/540*q**6 + 0*q**a + 0*q + 8*q**2 + 2\/27*q**3 + 1\/36*q**4. Factor m(k).\nAnswer: -2*(k - 2)*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*y - 106, -j - 3*y + 221 = -3*j. Suppose 5*k = 110*x - 108*x - 580, k + 116 = -6*x. Are k and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5234*g**2 - 12 - 10424*g**2 - 3*g + 5196*g**2. Determine z(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -176, -1115, -3426, -7685, -14468, -24351, -37910?\nAnswer: -55721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 99*d**2 - 2*d - 1. Let o be p(-1). Suppose -4*u - o = -z - 3*z, 5*z + 4*u - 80 = 0. What is the remainder when 58 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(0 + sqrt(2)) - (sqrt(2) + (sqrt(2) + sqrt(2) + (sqrt(8)\/sqrt(4) - sqrt(2)))**2 + 2)).\nAnswer: -20 - 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -12 + 14 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 + 51*k**2\/4 - 36*k.\nAnswer: -k*(k - 48)*(k - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 + 7*q**5 + 6*q**5)*(37 - 69 + 34)*(0 - 2 + 1).\nAnswer: -22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 16. What is the third derivative of -10 - 5 + 15 - 9*f**3 + f**i wrt f?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 0 = -2*k. Let j = k - 19. Let l(g) = -7*g - 36. Let x be l(j). Which is bigger: -2\/91 or x?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31289 is divided by 73.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 - 145794006*o + 145794008 = 0. Calculate o.\nAnswer: -72897004, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**2 + 11*v - 9. Let p(m) = -15*m**2 + 22*m - 17. Let q(n) = 13*a(n) - 6*p(n). Let r be q(10). Put r, 2, 3 in ascending order.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, 397, 1792, 4515, 9010, 15721?\nAnswer: 25092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a257 - -94bd?\nAnswer: -b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*m**2 - 213*m**2 - 279*m**2 + 825*m**2.\nAnswer: 186*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*w = 59*w - 16905 - 14593 - 6302 for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-10)*28\/21*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*t**2 - 338 + 732*t**2 + 344.\nAnswer: 17*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/40 and -19\/25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 70\/50 - 6111\/315\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952212.\nAnswer: 2, 3, 73, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + (-59 - 7) + 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52332322 (base 6) to base 7\nAnswer: 15632465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85) - sqrt(85)*-3))\/(sqrt(20)\/sqrt(4)*3).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/96*18\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n - 0*n - 9732. List the prime factors of n.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 14553?\nAnswer: 14551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30506.569993 - -30500.57. Let u = -191 + 185. Let r = u - j. Round r to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:40 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/42104 (b) 3\/2 (c) -3\/2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:03 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -3.3634.\nAnswer: -1.00902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -778.000061536 - -778. Round f to 6 decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 5:17 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4142?\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44096827.\nAnswer: 17, 131, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*i + 25, 17*i - 19 = 20*i + 5*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 8)*(3*i**2 + 2*i**2 + 3*i**2).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00080323519 rounded to six dps?\nAnswer: 0.000803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 120*t**3 + t. List the prime factors of k(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 19)*(-18 + -17 + 33 - (-132)\/(-24))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 1:47 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -19*n**3\/3 + 224*n. Let s(y) = 2*y**2. Determine l(s(m)).\nAnswer: -76*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*s + 39*s + 20*s + 1635 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42800881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 2:29 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.014, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*u + 218*u - 25 = 3*g, -234 = 3*g - 12*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(135) - sqrt(15))\/sqrt(5).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145 - 135. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40902 minus 1.5?\nAnswer: -1.90902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3101109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 4*z + 0*z)*(-2*z - 10 + 10)*((-2 - 1 + 1)*(3 - 3 + 2) + 392 + 86 + 57) to l*z + i + k*z**2 and give k.\nAnswer: 4248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 52 = 250*w - 249*w, -2*n + 22 = w for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38120 in 0.4, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -0.5, -2\/63, -270?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16732 - -5472. Let y = a + -11293. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3\/10))\/h**(-5\/2))\/((h*h\/(h*h\/h**16*h))\/h*h*h)**(-25\/2) assuming h is positive.\nAnswer: h**(1019\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 2 - 15*k**3 - 4*k**2 + 7 - 18*k.\nAnswer: -15*k**3 - 4*k**2 - 18*k + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 270 = 14*b. Let f = b + -41. Suppose 2*o - 5*l = 0, 13 = f*o + 2*l - 11. Solve j + o = 6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**2 + 1. Suppose 4*i = -5*v + 1, v + 2*v + 5*i + 2 = 0. What is k(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*c + 477*c - 1020 = 216*c. Suppose -o + 6 = -0*o. Let k(g) = 14*g - 9. What is the remainder when k(o) is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25343571, 25343566, 25343561, 25343556?\nAnswer: 25343551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (-2)\/(-14)*2. Solve 4 = s - w, -s + 5*w = -n*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 915*k - 911*k. Solve 0 = -28*d + 29*d + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q - 1. Let z(p) be the first derivative of 15*p**2 - 3*p + 4. Let i(d) = 17*x(d) - 6*z(d). Does 17 divide i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Let v = -3.71 + 4.2. Let m = v - -0.01. What is the nearest to 0.2 in 3, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -14, 6 in descending order.\nAnswer: 6, 1, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 + 157. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 1098370\nAnswer: -54918.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n = 0. Let k(u) = 0*u**2 + u**2 + 2*u + n*u - 5*u. Calculate k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p**(-2)*p))\/(p*p**(1\/2)\/p)*(p*p\/(p**(1\/12)\/p))\/(p\/p**(3\/8)) assuming p is positive.\nAnswer: p**(139\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -681.8631.\nAnswer: -681.6631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b7ac (base 13) to base 16\nAnswer: 6394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41826680 and 5975240?\nAnswer: 41826680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 100 = 0. Suppose 0 = 6*l - 11*l + z. Which is the smallest value? (a) l (b) 1\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120 in -23, -57, 2\/49?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(891)))**2 - -5*(sqrt(891)*-2 - sqrt(891)).\nAnswer: -459*sqrt(11) + 8055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1140, 57 in descending order.\nAnswer: 57, 16, -1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 52*o + 392. What is q(-9)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.79*0.1.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/63390 and -91\/20.\nAnswer: 126780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 15 = -6*x. Suppose 0 = -d - 4*b - 9 - 12, -2*d + 2*b = 2. Sort -11, d, x.\nAnswer: -11, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (sqrt(1539) + -2) - sqrt(19)) + 5*(sqrt(19) + -2).\nAnswer: -8 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 25. Suppose -154 = 5*p + 6*p. Let b be u(p). Let q(g) = 2*g + 1. Let s(t) = -4*t - 2. Let z(m) = 13*q(m) + 6*s(m). Determine z(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 262*c - 2046 - 2670 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 20*h - 58. Suppose 0 = h*f - 1 + 43. Is -27\/2 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 - 10*r**2)*(0*r + r + 0*r + 0*r - r - r + (-4*r + 4*r + 2*r)*(2 - 3 - 1) - 3 + 17*r + 10*r - 40*r).\nAnswer: 180*r**3 + 30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.27*216.652\nAnswer: -58.49604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524119 is divided by 787?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 1388*r**2 - 19260*r - 32976.\nAnswer: -(r + 2)*(r + 12)*(r + 1374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -200, 50 in decreasing order.\nAnswer: 50, 5, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:10 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12494 (base 13) to base 2.\nAnswer: -1000001111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 + 172. What is the highest common divisor of x and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 194740*j - 37923667600.\nAnswer: -(j + 389480)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -18. Let j(u) = 11*u**2 + 17*u - 68. What is the tens digit of j(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 202085, 202087, 202089, 202091, 202093?\n\"Answer: 2*u + 202083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7490566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*i**2*w + 99033*i**2 - 2*i + 449464949*w with respect to i.\nAnswer: 142*i*w + 198066*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + ((1*sqrt(98))**2 - sqrt(98)))*2 - (-2*sqrt(2)*-4*-3 + ((sqrt(6)*-1)\/sqrt(3) + -2)**2).\nAnswer: -8*sqrt(2) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.1, -5, -31\/4 in decreasing order.\nAnswer: 3\/4, -0.1, -5, -31\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.02148, 88\/5, -0.4, 2, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by 5.\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/(-20)*(0 - 72\/260). Let x = h + -58\/65. Let u = 0 - -0.1. What is the biggest value in -8, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 8:39 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Suppose -s*g + 1622207 = -5457058. Suppose -7919755 = -4*q - g. Round q to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-5*(-3)\/5 + 7. Solve -6*h + 20 = -t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u\/(u\/(u**(3\/2)*u))))\/u))**(-1\/4)\/(((u**(2\/17)\/u)\/u)\/(u*u**12)) assuming u is positive.\nAnswer: u**(1905\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*6\/(-6)*4\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 - 11) + 725 + -704.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -3751503.\nAnswer: 3751508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = -5*b. Let x be (b\/6)\/(2 - 0). Sort 2\/11, 5, x.\nAnswer: x, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2427914.41 and -40.\nAnswer: -2427954.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 5*r + 2. Let d be u(-5). Suppose 0 = 4*t - d*t + 6. Let w be -5 - (-1)\/(0 + 1). Sort w, -1, t in descending order.\nAnswer: -1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1810 + 1275. Which is smaller: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 3*h + 70 + 11, 466*n = h + 462*n + 27 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -355044 or -9586214\/27?\nAnswer: -355044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -308 - -148. Let i = p - -159.5. Sort i, -2\/11, 0.07, 3 in descending order.\nAnswer: 3, 0.07, -2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-48)*2*36\/(-450)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Let r be (-90)\/4 - (-4)\/8. Let p(n) = -5*n - 6. Suppose -2*o + 2 = 10. Let c(t) = o*p(t) + r*y(t). Calculate c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a - 12. Let s(t) = 15*t + 25. Let c(h) = -13*g(h) - 6*s(h). Let f(o) = o + 1. Let w = 3934 - 3935. What is w*c(k) + 6*f(k)?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188.8*2.\nAnswer: 2377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 17*v - 702 = -19*v. Calculate the highest common factor of v and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20782440.\nAnswer: 2, 3, 5, 7, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/3 or -652760?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let a be 0\/(-1 + 1 - v). Suppose -5*d + 1 = -f, a*f + 2*d = 5*f - 41. What is the remainder when 17 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 + -90. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*z + 24*z + 27*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -332?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 2*i - s, -6*i = -3*i - 3*s - 207. Suppose 0 = -2*b - 4*q + 56, 2*b - 4*q - i = -0*q. Calculate the highest common factor of 96 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5087 and 3?\nAnswer: 15261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.67 - 6.67. Suppose 9*s = 14*s - 5. What is the third biggest value in s, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -676 + 275. Let p = -400.8892 - r. What is p rounded to 3 dps?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 28. Let j(z) = -2*z - 28. Let i(p) = -3*j(p) - 2*k(p). Give i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 54*k - 876. Let o be x(-13). Which is the closest to 0.1? (a) -0.4 (b) -0.15 (c) 0.4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73538737.1 rounded to the nearest 1000000?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6281215?\nAnswer: 5, 1256243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1399 (base 11) to base 8\nAnswer: -3412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a - 5, t + a = 9. Suppose -t*y = -2*y - 80. 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: Differentiate 2*j**2 - 3*j*w + 8*j - 13*w + 1 wrt j.\nAnswer: 4*j - 3*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 296314 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Suppose -2*w = 4*q - 160, 0 = -4*q - w - f*w + 164. 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: Subtract -2773645 from 3056.4.\nAnswer: 2776701.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/509061851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o = 108 + 42 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0433328*4.\nAnswer: 0.1733312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1037 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.76464l in millilitres?\nAnswer: 10764.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162846 and 1744.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16520 and 0.13.\nAnswer: -2147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -460016.67 rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = -0, -116 = -2*a - 4*x. Let s = -39 + a. What is the highest common factor of 169 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -36. Let z(p) = 19*p**2 + 3*p + 2. Let c be z(-1). Let m = c + l. Let f(t) = t**3 - 5*t**2 - t + 6. Give f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {i: 1, t: 3, w: 2, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159440 is divided by 52850?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4 - 46*s**3 - 858*s**2 + 414*s + 7560 = 0.\nAnswer: -12, -3, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488628?\nAnswer: 2, 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*v + 144, 2*r = 2*v + 125 - 29. Solve -3*b + 60 = -h + r, 5*b = 4*h + 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*h = 109*h - 369*h - 188 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 647819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 38*o - 15. Let h(q) = -28*q + 10. Let d(b) = -7*h(b) - 5*i(b). Let p(g) = 5*g + 4. Suppose 39 = 10*x - 11. Determine x*p(z) - 4*d(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4880*r - 4834*r + 552 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 567? (a) -4 (b) -0.5 (c) -1\/5 (d) 3 (e) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 1 (b) -4 (c) 2\/7 (d) 2018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*p - 76 = 0, -p - 1 + 4 = 0. Suppose -3*j = -g - 34, 3*j - g = g + 38. Calculate the remainder when -3*-93*j\/45 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 4*o = -36, -2*l - 42*o + 18 = -40*o. Which is bigger: 171\/205 or l?\nAnswer: 171\/205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-10 - -3 - -29)) + (2 - 93).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(4\/3))\/(l\/(l*(l*l\/((l\/(l\/(l\/(l**(-2\/31)\/l))*l)*l)\/l))\/l*l*l*l)))\/(l\/(l\/(l\/(l**(2\/7)*l)*l)))**(-10))**(-15) assuming l is positive.\nAnswer: l**(-40400\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16936734?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-45)*12\/4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4818 + -0.0818. What is the closest to -1 in 5\/6, i, 8.9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 744 and 372?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 + -87. Let s = g + -72. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-652)\/(2\/(-2)))\/(8 + -6).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96212186 to the power of 1\/2, to the nearest integer?\nAnswer: 9809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -481.999561 + 482. What is m rounded to five dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000142998 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27138 divided by -6.\nAnswer: -4523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 765.411\nAnswer: 6888.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/775 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 0, -5, -11 in descending order.\nAnswer: 5, 0, -5, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -63*4\/((-12)\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1215)*-2 - sqrt(45)\/(sqrt(9)\/sqrt(3)))\/(1*(sqrt(180) + sqrt(180)*1 + sqrt(180))*1)*1.\nAnswer: -19*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -5, -571?\nAnswer: -571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(1380\/4 - 3). Suppose 6 = 3*z - 3. Suppose z*b - g = b. Calculate the greatest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + -1 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/50 and -43\/218575.\nAnswer: 437150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.215 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 41 + 70 = -5*t, -v = -19*t - 79 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*r**4 - 34*r**4 - 3*r**4 + (-4*r + 4*r + r**2)*(-6*r**2 + 4*r**2 + 4*r**2) + 4*r**4 - 5*r**4 + 3*r**4 + (-1 + 1 - 3*r**2)*(2 - 2 - r**2).\nAnswer: -77*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-12))\/(1\/(-6)). Let j be (l*3\/9)\/((-1)\/(-3)). Let f(b) = b**2 + b - 28. What is the remainder when f(j) is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72.27 + 72.5. What is the nearest to b in -0.5, 5, 4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-46)\/(-230))\/(2\/30). Solve -4*q - 5*x - 7 = 0, -6 - 3 = n*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f - 2. Let a(i) = 475*i**3 + 2*i - 4. Give 3*a(g) - 6*p(g).\nAnswer: 1419*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2408?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 + 248. Let q(o) = 11*o**2 - 5*o + 6. Let v(l) = 76*l**2 - 46*l + 66*l**2 + 55 + l - 42*l**2. Let d(t) = j*q(t) - 6*v(t). What is x in d(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33666 and 3534?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*(-11)\/((-396)\/40)*24\/(-960)*24?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5994337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-4))\/(((-1)\/(21\/(-28)))\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1860062352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2. Let o be (2 + 0)*(-10)\/(-4). Suppose 4*p + o*l - l = 36, p + 2*l - 8 = 0. Let w(r) = 10 - r - p. Calculate w(b(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 60*i + 189. What is the remainder when 174 is divided by l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 148*u**2 + 472*u - 320.\nAnswer: -4*(u - 2)*(u - 1)*(u + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 - (0 - 6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 9. Let n be y(-9). Let c be 2\/(-4) + n\/(-4). Solve 5*p = 4*l - 33, 0 = -8*l + c*l - 5*p - 17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439594?\nAnswer: 2, 219797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 89.649, -2\/9, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7196540 to the nearest integer?\nAnswer: 2683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10499827*y**2 - 2209951*y?\nAnswer: 20999654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f + 2. Let x be 30*(-1 + 1 + 1). Suppose -3*p = 2*p - x. Suppose -3*c = -3*i + p, 2*i = 4*c - 0 + 8. Calculate m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -565, -560, -541, -502, -437, -340, -205, -26?\n\"Answer: r**3 + r**2 - 5*r - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 606147.4626 to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(1216) - sqrt(1216)) - (sqrt(1216) + -1 + 3))**2 + 3.\nAnswer: 32*sqrt(19) + 1223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14613 is divided by 348.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3434 less than 173?\nAnswer: 3607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-365)\/(-240) - (-1)\/4 and -15\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76553 * 0.2\nAnswer: 15310.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19308525 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.8. Let l = -82 - -82.3. What is the biggest value in f, -3\/7, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 1278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 6*w + 3 = -2*s + 285, -3*w + 4*w - 15*s - 2 = 0 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2533*q + 59663 = -51789 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124867525 by -24973505.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -489, -510, -531, -552, -573?\n\"Answer: -21*u - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*o + 138 = 4964 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17824 and 11146684?\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*d**2 + 7*d**2 + 12*d**2)*(0 + 0 - 2*d) + 54*d**3 + 14*d**3 + 148*d**3 to the form t*d**3 + v*d**2 + l + f*d and give t.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnvn when four letters picked without replacement from viyyiinynnyyyynnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 377001669 divided by -3\nAnswer: -125667223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.95 - -0.05. Let t = b + -3.5. Let r = -1\/114 - -461\/570. What is the smallest value in t, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419*x + 96*x = -33304 + 638944. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 4, 40 in ascending order.\nAnswer: 4, 40, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*m = 22, 2*d + 2*m - 7 = 5*d. Suppose -k = -0*k - d. What is the third smallest value in 0.3, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 + (-32)\/8)*6*3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d\/d**1)\/d))**25*(d*d*d\/(d\/((d*(d\/(d*d*d**5))\/d)\/d)))\/((d*d*d*(d*(((d\/(d**0\/d)*d*d)\/d*d)\/d)\/d)\/d*d*d*d*d)\/d))**(1\/49) assuming d is positive.\nAnswer: d**(12\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -117. Let z = h - -4. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 23. Let u be f(12). Suppose -u*j = -14*j. Let l be -7 + 7 - (-10 - j). What is the highest common factor of l and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019883647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 764.\nAnswer: -8\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*g**2 + 351 - 653 + 301.\nAnswer: 132*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -169, -375, -655, -1003, -1413?\nAnswer: -1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746573.\nAnswer: 31, 24083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*d**2 + 178*d + 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from ddnabddsdnnd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*j - 2, 4 = -5*k + j - 6. Let o be 3\/(-3) - (4 + -3 + k). Solve 4*m - 12 = o, 3*m + 5 - 10 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68\/11, 24.6, -3, -4\/7, -2\/9.\nAnswer: -68\/11, -3, -4\/7, -2\/9, 24.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) + (1 - 29). Let h = f - -47. Solve -2*t + 4 = 3*n, t + 4*t - h = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = i + 67 - 73 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 - 12\/8. Let r = -297476\/2485 - -838\/7. Let z = r - -337\/3195. Put w, -2, z in ascending order.\nAnswer: -2, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1518 and (910\/20 + -11)*(-10)\/(-6)*2?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/200 and 131\/2520.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*m**3 + 80?\nAnswer: 198*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(0 + sqrt(325)) + sqrt(325)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -422651 and -422665 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 455674, 455682, 455704, 455746, 455814, 455914, 456052?\n\"Answer: j**3 + j**2 - 2*j + 455674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 2:28 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6235136?\nAnswer: 2, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 4 - 4. What is the nearest to -1\/4 in l, 6, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(6\/124200004) + 14 + -12. What is f rounded to the nearest one million?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/320 and 91\/120?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3703514 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrptrrpropp. Give prob of picking 1 t and 2 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/((-12)\/20*10).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 8:05 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -23*a. Let z(m) = -8*m + 23*m + 9*m - 10*m. What is z(p(f))?\nAnswer: -322*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1045421 (base 6) to base 15\nAnswer: -10ad7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.1, 454, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + -513.\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 6 + 0*n - n.\nAnswer: -2*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/525910 and -37\/770.\nAnswer: 525910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) -43\/11 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 23. Suppose 267 - 229 = -19*t - 418. Calculate v(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-3) - -2) + -139. Does 8 divide a\/(-8) + 2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + 2*t, -o + 5*t - 1 - 6 = 0. Suppose 4*b + 10 - 3 = 5*j, -b - o = 0. Is -1\/4 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 2*i**2 + 2*i + 8. What is h(5)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:41 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 391*k**4 + 6*k**3 - 12*k**2 - 12*k - 361. Let n(x) = x**3 - 2*x**2 - 2*x - 1. Let h(a) = -6*n(a) + t(a). Differentiate h(o) wrt o.\nAnswer: 1564*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 1. Let u(s) = 77*s**2 - s + 4. Suppose -4*m - 3*y = -m - 9, 5*y + 3 = -2*m. Let h(l) = m*t(l) + u(l). Does 14 divide h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 10 - (8 + -17).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1597 and -17.\nAnswer: -27149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from bpbpbnbbnbpbn?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 516\nAnswer: 7\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 113, 195, 295, 419, 573?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(36)*2.\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - 15) + (-1248 - -1247).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.98 + 1.02. Let n = u - 17. Let k = -15 + 21. Which is the nearest to n? (a) k (b) 3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w**3 + w + (w**2 + 3*w**2 - 5*w**2)*(3*w + w - 2*w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20103121 - 23?\nAnswer: -20103210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.4 - 1.4. Let k(w) = -2*w**2 - 24*w + 2105. Let g be k(-39). Which is the third biggest value? (a) s (b) 3 (c) -2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/12 - (-92)\/24*65 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*2981.4.\nAnswer: -38758.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002010012021221 + 11?\nAnswer: -10002010012021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 8 - r**3 - 1 + 2 + 8*r. Let f = 0 + 6. Determine a(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 10) to base 5\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8 + 2. Let q be 4\/i*(-330)\/(-4). Calculate the highest common divisor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-2 - 0) - (-367 + -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -5 - 1) + -1. Let r(q) = 177*q - q**y - 177*q + 4. Let z be r(3). Is -5 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, o: 2, y: 2, p: 2}. What is prob of picking 2 v and 1 p?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2*o - 3. Let w(f) = 2*f**2 - 5*f + 5. Suppose 91 + 17 = 36*q. Determine q*w(c) + 5*z(c).\nAnswer: c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*v + 103*v - 4973052 = 0. List the prime factors of v.\nAnswer: 2, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16216641 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2967111?\nAnswer: 3, 7, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/180 and 73\/140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3912 + 7. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 270*s - 12409. What is d(46)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*d + 87, -4*k + 3*d = -2*d - 115. Suppose k = -5*m + 5. Calculate the remainder when (4 + 292)\/m*-1 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903 - 903 + 2225*d - 19449*d - 11946*d.\nAnswer: -29170*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 22. Give i(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 494*a**2 - 91*a. Let p(g) = 176*g + 172*g - 346*g - 43*g**2 + 32*g**2. Give 4*c(i) + 182*p(i).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17122 - 15448. What is the remainder when l is divided by 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 18. Let o(a) = -4*a**2 + 2*a. Let u(w) = 5*w**2 - 3*w. Let k(y) = 3*o(y) + 2*u(y). Give k(q(v)).\nAnswer: -2*v**2 + 72*v - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from kukcgukkwngg?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.036 + 43.036. Let h = -48 + i. Put -2\/7, h, -0.1, -1 in descending order.\nAnswer: -0.1, -2\/7, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 12*d - 17. Suppose 0 = 7*o - 2*o - 40. Let s = 137 + -119. What is the least common multiple of s and c(o)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\/(-3)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(54)*-6) + -3)**2*-5.\nAnswer: -4865\/108 - 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32, -78, -164, -296, -480, -722, -1028?\n\"Answer: -l**3 - 14*l**2 + 3*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 0.6, -9\/10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297383\/259380 + -5\/4716. Find the common denominator of -57\/10 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53368489 by 102043.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7997 and 1880566523.\nAnswer: 7997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4 + 3\/252*55?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**2 - 226*u - 248. Let f(p) = -32*p**2 - 1356*p - 1495. Let a(t) = 6*f(t) - 38*m(t). Factor a(s).\nAnswer: -2*(s - 227)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/6 - 13*y**2\/3 - 139*y\/6 - 19.\nAnswer: -(y + 1)*(y + 6)*(y + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c**3 - 5*c**2 + 5*c - 7. Let q(i) = 13*i**3 + 4*i**2 - 4*i + 8. Let t(s) = -4*g(s) - 5*q(s). Differentiate t(v) wrt v.\nAnswer: -39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2807338316?\nAnswer: 2, 17, 313, 131899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 539*n - 547*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 1001.7?\nAnswer: 40.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 18 - 45)*(0*o**2 + o**2 + 0*o**2).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -173.247+1\nAnswer: -172.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84416.1 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1223031 + 43?\nAnswer: -1222433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -2\/11, -0.03, -8?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -14e?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*h - 1295, -47*h = -3*c - 44*h + 777. Solve l = 38*l - c for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*j = 2025*j + 138368 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322 + 20121330?\nAnswer: 20122312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51458, -103904, -156350, -208796?\n\"Answer: -52446*x + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2328733 is divided by 4841.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4\/5 + 33*b**3\/5 - 881349*b**2 - 4406937*b\/5 + 26440542\/5 = 0. Calculate b.\nAnswer: -1217, -3, 2, 1207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 33312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14199 is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119677641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpmmpmmmmmomopm. Give prob of sequence ppmo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -894 divided by 3?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-234)\/(-42) + (-4)\/7. Solve 0 = -q*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 437581 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y + 96 = 0. What is the remainder when (-161 - 25)*(0 + (-1)\/2) is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*130\/(-38064))\/(-6 - 29\/(-4))\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1328\/7 - -190. Which is the second biggest value? (a) s (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 2*b - b**2 - 1 + 0*b. Let w(o) = 7*o**2 + 3*o - 7. Let j(k) = 3*k**2 + k - 3. Let s(t) = 10*j(t) - 4*w(t). Calculate -2*a(c) + s(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 3*n**2 + 0*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(84)\/(sqrt(12)*-2)*-1.\nAnswer: -3 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*(-12)\/(-180). Which is the second smallest value? (a) -5 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 8. Let n(m) = -4*m + 25. Calculate 2*n(s) - 7*w(s).\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/4842 and -1\/8?\nAnswer: 19368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61771 (base 8) to base 16.\nAnswer: 63f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4688 - -4922. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -380.5067 to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/80 and -75\/19816.\nAnswer: 198160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 4. Let s = y - -6. Let i = -4 - s. Is i != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/1345 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1382 - 709. Let u = t + -373. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*m + 16491 - 18111 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 212, -2\/19, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**4\/12 + 13*d**3\/3 + 82*d**2. Determine b(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*(-154)\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:43 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17121.77cm to kilometers.\nAnswer: 0.1712177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 4162?\nAnswer: 37458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 153c (base 14) to base 8\nAnswer: 7302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/299 - 3899\/598. Let l = 10.5 - 10.54. Is s less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-14) + 46\/(-7) and 9\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350366, 350367, 350368, 350369, 350370, 350371?\nAnswer: 350372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2. Let o(h) = 282657*h. What is u(o(a))?\nAnswer: 239684938947*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -164, -446, -892, -1532, -2396, -3514, -4916?\nAnswer: -6632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b. Suppose -3 = -2*a + 3. Let w(j) = 0*j + 4*j + a*j - 5*j. Give o(w(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905742 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -142*x**2 - 12724*x + 12724*x - 241 wrt x?\nAnswer: -284*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72044 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v - 2193 + 1092 + 37*v + 1103. Let x(c) = c. Let a(o) = o. Let j(w) = -2*a(w) + x(w). What is j(g(r))?\nAnswer: -48*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122.36173ms in days?\nAnswer: 0.000024564371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 1, n: 2, p: 2, l: 1, g: 1}. What is prob of sequence plnc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1689913 - 0.169. What is i rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4 + 27228*p**3 + 46403268*p**2 + 231499268*p + 277603224 = 0.\nAnswer: -3401, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 7 - -9) + -5 + (-15 - -4) + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 112*b - 1 - 42*b.\nAnswer: -150*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and 196\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + 122a5?\nAnswer: 1228c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -4, -11, -20, -31?\n\"Answer: -d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*v - 22, 3*m + 83 = 3*v + 86 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neneeenccnee. What is prob of picking 3 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(748\/77)\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25144\/58195 or -1?\nAnswer: -25144\/58195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzz when three letters picked without replacement from {x: 3, l: 9, z: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 30*r - 30. Let g be h(-16). Solve g = -f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -6, -7 in increasing order.\nAnswer: -7, -6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -33*o - 81. Calculate a(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16781 - 52247 - 49497 + 19023 = -1118*p for p.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6687?\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 680, 1302, 2266, 3686, 5676, 8350, 11822?\nAnswer: 16206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*o**2 + 4*o**3 + o**4 + o + 21*o**2 + o**2 + o**2 + 2 as v*o + k*o**4 + r + b*o**2 + q*o**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 308 - 173 = 5*m, -4*m + 246 = -6*w + 4*w for w.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 - 167*v**2 + 314*v - 47. Let p be m(-58). What is the highest common factor of p and 645?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/12 + 4)*18\/(-20). Put 1\/7, -5, -2, l in decreasing order.\nAnswer: 1\/7, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-10))\/t)\/t*t)\/t)\/t**(-1)*(t**(2\/9))**(-44) assuming t is positive.\nAnswer: t**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 - (1 - 4)) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1010, 1019, 1042, 1085, 1154?\n\"Answer: a**3 + a**2 - a + 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1972357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k + 7. Let t(n) = 4*n + 4. What is 3*p(s) - 5*t(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/29879354?\nAnswer: 1\/29879354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*p = -1056*p - 62593 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-56)\/(-42))\/(-1))\/20\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 97*r + 142. Let j be c(-48). What is the greatest common divisor of j and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23)\/(-5) + 14\/35. Let u be z\/(1 - 0)*1. Solve -u = 5*j - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2792 or 2789?\nAnswer: 2792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = 1. Let w(r) = -r**3 + 4*r**2 + r - 5. Let g be w(4). Let s = g + j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = -2*d, 5*d + 2*l = 2. Find the third derivative of 0*w**2 - 2*w**3 - 8*w**3 + 7*w**d + 10*w**2 wrt w.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -193*k + 5. Let i(o) = -o + 8019. Give i(t(n)).\nAnswer: 193*n + 8014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f + 3, -3*f = -2*p + 13. Suppose p*q = -16 - 14. What are the prime factors of (q + 11)*(-6)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 471 - 474. What is the biggest value in -2, 5, 14, t?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 6*d**2 - 12*d**2 + 5*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17869798 and 1180081.\nAnswer: 125088586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(208)*-3 - -1*(sqrt(325) + 1))**2.\nAnswer: -86*sqrt(13) + 24038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42997.\nAnswer: 19, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 3994, 4 in decreasing order.\nAnswer: 3994, 68, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 4*b**2 - 4*b**3 + (-57*b**2 + 31*b**2 + 42*b**2)*(9*b - 5*b + 3*b) in the form u + j*b**2 + t*b**3 + y*b and give t.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20307275*b**3*r + 87*b**2*r + 30663*r wrt b?\nAnswer: 121843650*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuu when three letters picked without replacement from ugugii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 884.098mm?\nAnswer: 884098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 6*v + 3. Let x be h(3). Suppose 5*w - x*w = 4. Let t be (w\/15)\/(4\/(-20)). Put -2\/7, t, -4\/5, -1\/6 in descending order.\nAnswer: -1\/6, -2\/7, t, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 8:27 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 7. Let b = 0 - d. What is the units digit of (b + 1)*(-2)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 14 + 16. Let f(r) = r**2 - 8*r - 9. Let u be f(y). Calculate the highest common divisor of u and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1218788\/(-12))\/((2\/15)\/((-94)\/235)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121389759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwxw when four letters picked without replacement from {x: 1, d: 11, w: 4, l: 3}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -28128, -10 in ascending order.\nAnswer: -28128, -10, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158653032.\nAnswer: 2, 3, 229, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 2. Let o = 14 + -7. Does 5 divide q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*d = 1, 5*y + 14624 = -4*d + 14611 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.058*-265.\nAnswer: -15.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/4))**(1\/9)*w**(-3\/7)*w*w**(-9\/2))**(1\/13))**(-1) assuming w is positive.\nAnswer: w**(983\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2658 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -c559?\nAnswer: -c561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2, -5*d - 3*h - 2*h + 120 = 0. Let t = -24 + d. Which is bigger: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 20 + n**2 + 31 - 7*n**2 - 78.\nAnswer: -6*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 840098409 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-3)\/(-2))\/(3\/20*5) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 4*v - 4. Let o be i(3). Let m be (2 + -2 - o)*-19. Let w = -11 - m. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 3*i - 3*i. Let h(c) = -2*c. What is h(z(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2.7. Let p = -16.97 + 17. Which is the second biggest value? (a) -1 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 60*h**3 - 4*h**2 - 9*h - 11. Let s be -3 + 0*1\/3. Let o be u(s). Round o to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 6*b**2 - 7*b + 5. Let f be h(4). Let c(l) = -16 + f - l + 6*l + 4. Give c(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6836, -6385, -5934?\nAnswer: -5483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/(-4) + 8\/32. Let k = r + 1. Solve k = -3*g - 2*q, -25 = 2*g + 3*g + 4*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 66 (b) 0.2 (c) 1034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8943 is divided by 130.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, 101933, -1, -2\/7 in descending order.\nAnswer: 101933, 0, -2\/7, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14510 and 12221773.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.179 decades in millennia?\nAnswer: 7.66179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002416 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 248*t - 7693 + 15629 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 958368 - 507053. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/7 + 51*j**3\/7 + 765*j**2\/7 + 2921*j\/7 + 3174\/7 = 0.\nAnswer: -23, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3468586 by -2606.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 1\/2*o**2 + 7 - 6*o. Let q(z) = z - 7. Give -6*g(i) + 5*q(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000873 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21269546*k**2 + 80217*k + 22 wrt k?\nAnswer: 42539092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87233*b - 113*b**3 + 87233*b - 134*b**3 + 98*b**3.\nAnswer: -149*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 150\/15*9\/(-15). Let o(f) = -16*f - 3. Let g(w) = 15*w + 2. Determine r*g(m) - 4*o(m).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*k*w**2 + 22*k*w + k + 55*w**2 + 6*w + 2 wrt w.\nAnswer: 24*k + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/7 + 34*a**4 + 2392*a**3 + 291184*a**2\/7 - 66992*a\/7 - 1168544\/7 = 0. What is a?\nAnswer: -106, -26, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t - 9. Put 5, 1, t in ascending order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 589\/23 - 117533\/4577. Let h = -8512\/2189 - f. Find the common denominator of h and 79\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 10 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**4 + s. Let w(m) = -134*m**4 - 48*m. Let a(j) = 5*r(j) + w(j). Find the second derivative of a(h) wrt h.\nAnswer: -1668*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**9\/i)\/i*i)\/i)\/(i\/((i*i**(1\/7))\/i)))\/(i**(4\/7)*i**(-17)) assuming i is positive.\nAnswer: i**(158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 15*c**2 + 12*c + 7. Calculate f(16).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 556.56 + -559. Do 0 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 886471860 by -177294372.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75556*i = -75593*i + 1258 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/14, 0.5, -0.1, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 1 + -1 + -5)**2 + -4*6*(sqrt(272) + 1))*3.\nAnswer: -408*sqrt(17) + 819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 49\/(-76) - 6\/(-8). Is s smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-2)\/1)\/(-1). Let z(t) = t**3 - t**2 - t + 1. Let g(u) = -3*u**3 - 5*u**2 - u + 2. Let h(j) = g(j) - 3*z(j). Calculate h(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 7 - 7. Suppose o = -7*j + 12*j - 80. Calculate the greatest common divisor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**7)\/k**9)**(-28)\/((k**(-1\/4))**(-1\/16)*(k**0)**(-24)) assuming k is positive.\nAnswer: k**(-1\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257802711 to the nearest integer?\nAnswer: 35466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 42901440*a + 92026677703680.\nAnswer: 5*(a - 4290144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/13, -5, 27, -5\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5 + 2\/5*z - 1\/5*z**2.\nAnswer: -(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Suppose n = -6*i + i + 100. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 - 12*b + 16. Let l be f(-6). What is the highest common factor of l and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + -9.9. Let r = 25.8 - 18. Let v = o + r. Which is the closest to v? (a) -0.3 (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12262*p**3 + 2*p**2 - 9*p + 119?\nAnswer: -73572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 337 - 334. Let x(c) = 0*c + 4*c**2 - 2*c - 3*c**2. What is x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*f = 40, -4*w + 24 = -f + 2*f. Let a = -1 + w. Let h = -1 + 11. Calculate the smallest common multiple of h and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 30 = 3*c, -8*c + 3*c - 40 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/32)*u)**30*u**(2\/103)*u*u**(-43)\/u assuming u is positive.\nAnswer: u**(-16757\/1648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*o - 520*o - 92 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 7*w**2 + w - 2. Let r be 3 + ((-32)\/(-1) - 0). Suppose -6*z = -z - r. Let a be x(z). Put a, -2, -4 in decreasing order.\nAnswer: a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 7*h + 7. Let f be y(5). Let k(q) = q. What is k(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/100 and -31\/7738360?\nAnswer: 38691800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/4)\/((-3)\/4). Let s(n) = 2*n + 2. Let y be s(c). Suppose 2*u + 3*u + 7 = -4*k, 5*u = -5*k - 5. Solve -k*z - y = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8185243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 = -2, o = -4*t + 52. Calculate the greatest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/60 - 3*w**4\/4 + 65*w**3\/6 + 82*w**2. Let r be f(19). What is the greatest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 11:30 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 e, and 1 p when three letters picked without replacement from oqpxooeoqqcxxxeoxoqe?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 + 10 - -93) + -49 + (0 - 10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**3 - 2 + 3\/2*w**2 + 1\/12*w**4 + 38*w. What is o(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*n = -32*c - 438*n - 185, -4*n - 45 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 5:02 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v + 2*l - 2, 3*v - 3*l - 27 = 0. Calculate the remainder when 345 - 159 - (v + 1\/(-1)) is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -847943*-5.\nAnswer: 4239715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times -16337?\nAnswer: 4574.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**3 - 17*u**2 - 18*u + 20. Let r(s) = 4*s**3 - 9*s**2 - 9*s + 10. Let w(x) = 3*n(x) - 5*r(x). Let j be w(7). Which is smaller: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 5*m**2 + 2211*m + 8629. Give b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1027 and -7.5815?\nAnswer: -0.77862005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.243 - 2.943. What is the closest to n in 5, 4, -12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 107*y**4\/4 + 9*y**2\/2 - y - 113. What is the second derivative of r(a) wrt a?\nAnswer: 642*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z - 17. Let j be r(-5). Let u(c) = -2*c - 4. Let i be 6\/9*-1 + 172\/6. Let a(x) = -2*x + 65 - 34 + 4*x - i. What is j*u(t) + 4*a(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 57. Let s be 0 - 7\/(a\/2). Which is smaller: 0.6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 24029*v. Let n(s) = -702*s. Give c(n(k)).\nAnswer: -16868358*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 187.6159 millennia?\nAnswer: 1876.159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-80)\/(-4))\/4 - 273\/56. What is the nearest to -0.1 in 0.4, -4, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + h + 3. Let q be k(0). Suppose d - 10 = -q. Suppose -n + 3*y = d, -10 = 5*n - 3*y + 1. Are n and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(44)\/sqrt(4) + -5 + (sqrt(11) - sqrt(55)\/sqrt(5)) + 4))**2 - ((-1 + sqrt(1331))**2 - 4*sqrt(1331)).\nAnswer: -900 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(3\/(-60) - 0). Suppose 5*v + 0*v = -k. Let x(r) = r**3 + 8*r**2 - 2*r + 11. Let f be x(v). Calculate the greatest common factor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -6. Let b = -4 - -6. Let j = b + w. Is j smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.65, 0.3, 2\/13, 45.\nAnswer: -2.65, 2\/13, 0.3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 78445379 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uguz when four letters picked without replacement from {i: 1, z: 1, s: 1, g: 2, u: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200.5 - -200.6. What is the nearest to -62 in -1\/5, -4\/5, o?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 4*k = 0. Suppose -5*a + 6*a - 69 = k. Which is smaller: 279\/4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 1. Let z be w(-1). Suppose -q + 8 = -z. Let i = 11 - q. Solve l = -i*n + 13, -5*n + 4*n = l - 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zznn when four letters picked without replacement from nnznznnzzznz.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 481*n - 142*n + 176*n to y + o*n and give o.\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/((-15)\/20*-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/141, -53802, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + b + 16 = 2*m, -7 = m - 3*b. Suppose y + 2*u + 11 = 3, m*y - 35 = 5*u. Solve 2*g + y*r + 15 = -3*g, 4*r - 45 = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 72 = -15*q + 10*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 c, and 1 r when four letters picked without replacement from {v: 6, r: 3, c: 5, h: 3, b: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7290)\/(-990) + (-4)\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 18 = 3*w + 3*m, 2*m + 2 = 3*w. What is the second biggest value in 1, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30430606 to the nearest integer?\nAnswer: 5516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39\/(-1674)*4*51378\/(-684) - 7. Is l < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7360944 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*g - 3, 0 = 23*m - 19*m + 5*g - 23 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/119 and 38\/3009?\nAnswer: 21063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 57\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 556292.3 and -69103?\nAnswer: 625395.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4930 is divided by 137?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/12329955 and 64\/1089?\nAnswer: 135629505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:42 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 275596907767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6 + 56*u + u**3 - 26*u + 0*u**3 + 11*u**2 - 37*u. Let s be 6\/(-33) - (-595)\/(-55). Is q(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c - 5*k + 33 = 0, 22 = 2*c - 4*k. What is the remainder when -1 + 1 - 1 - -32 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -37, 322 in increasing order.\nAnswer: -46, -37, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/3418877 and -3\/2695.\nAnswer: 17094385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 16.1?\nAnswer: 0.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/952 and 41622\/(-7616) - -10 - 18\/4?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = 5*n + 4*g, 98*n = 99*n - g - 59. Calculate the highest common divisor of n and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 536.5 and -1.\nAnswer: -536.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 9 = -o. Solve -4*h - 4*k - 20 = 0, -k - 16 = 4*h + o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -202000*r**2 + 1. Let a = -52 + 47. Let y be d(a). Round y to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 26 + 17 + 3*g - 40. Suppose 20*f = z + 17*f + 15, -27 = 4*z - f. Let i = 0 - z. Give k(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0588 + -0.0412. What is the smallest value in j, 0.04, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1900) + 1*sqrt(1900) + 3)*-5 + (0 + sqrt(1900) + -4 + sqrt(1900) - sqrt(1900)) + sqrt(1900) + (-1 + sqrt(1900))*3)*-4 + -3)**2.\nAnswer: 32800*sqrt(19) + 766724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p = -5*z - 53*p + 489099, p = 3*z - 293461. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*z**2 + 278*z**2 - 106*z**2 - 155*z + 9*z to the form k*z**2 + a + o*z and give k.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 4*u - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and -1816605?\nAnswer: 1816605.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 5:01 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -40543, -2, 512 in decreasing order.\nAnswer: 512, 3, -2, -3, -40543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 236 = 0. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 124. Let p be (3 - 2)\/((-2)\/(-6)). Suppose 4*x = -p*o + w, -8 = -4*o + 12. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 - -38f500?\nAnswer: 38f523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -13. Suppose -3*m = a*m - 7965. Suppose 987 = -3*q - m. What is q rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1879, -7554, -17021, -30286, -47355, -68234?\n\"Answer: -s**3 - 1890*s**2 + 2*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -348.079562 rounded to 1 decimal place?\nAnswer: -348.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -18*x - 3*q - 21, -2*x = 2*q + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30553 - -326?\nAnswer: 30880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-59)\/(-22) + (-21)\/7. Let x = -2\/11 + g. Is 6 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233330 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/143 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 124117374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 17*n**2 + n - 3. Let u be o(17). Is u <= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 79 = -3*i, m + 3*m = 5*i + 73. What is the third derivative of 11*g**4 + m*g**2 - 6*g**2 - 17*g**4 - 19*g**4 wrt g?\nAnswer: -600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (26\/(-4))\/((-7)\/(1052 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1808 and 312558.\nAnswer: 2500464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(9 - 8) - 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49291 is divided by 49247?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245 + 241. Is 7 a factor of (s\/5)\/(40\/(-3800))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885943214 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363316 is divided by 681642?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7140 - -7153. Let g(q) = 2*q**2 - 3*q + 7. What is the remainder when g(5) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34198917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -69?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 1\/3*k**3 + 1\/2*k**2 + 3*k + 1\/4*k**5 + 0 + 1\/12*k**4. Let t be w(-1). What is the biggest value in -1\/10, -1, t?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**4\/12 + 5*g**2\/2 + 2*g. Let u(x) = -2*x**2 - 12. Let t(y) = 12*c(y) + 5*u(y). Let m(l) = -3*l**2. What is t(m(h))?\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3822 and 145\/61152.\nAnswer: 61152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0 + 0*w + 1\/6*w**3 + 0*w**4 - 1\/120*w**6 + 3*w**2 + 0*w**5. Differentiate t(l) with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-7)\/(-21)*-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/23)\/y**(4\/9))\/((y*y*y**5*y)\/(y**(1\/20)\/y)) assuming y is positive.\nAnswer: y**(-39253\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5150, -10299, -15448?\n\"Answer: -5149*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*h + 0 + 0)*(3 - 1 - 3) - h + 4*h - 4*h + 845*h - 1208 + 1208)*(-2*h**2 - h + h) as p*h + u + j*h**2 + l*h**3 and give l.\nAnswer: -1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**3 - 8*y**5 - 6*y**3 + (-2*y**3 + 2*y**3 + 3*y**5)*(-29 - 16 + 3 - 10).\nAnswer: -164*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -414623\/18 bigger than -23034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 10. Let h(f) = 4*f**2 - 3*f - 2. Let r be h(-1). Let t be 1*-2*r + -21 + 21. Let g be y(t). Solve -5*i + 30 = -4*p - g*p, -i - 18 = 4*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyaaayyayyaf. What is prob of picking 1 y and 2 a?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*i - 18, 3*y + 4 = 5*i - 24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*u - 20*u**2 - 551*u - 448*u + 1461*u.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -155, -140, -125, -110, -95, -80?\n\"Answer: 15*t - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*n + 40 = 6*z, -5*n = 2*z - 45. Calculate the highest common factor of z and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1159785, 2319634, 3479617, 4639800, 5800249, 6961030, 8122209?\n\"Answer: 11*g**3 + g**2 + 1159769*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10392*b**2*o*x + 99*b**2*x - 2*b**2 - 2*b + 623*o**2*x - 22*x + 3 wrt o.\nAnswer: -10392*b**2*x + 1246*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16055 and 26410?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 75 = 9*x. Suppose 100502 = x*b - 16853. Suppose 0 = 13*r - 6*r - b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 189 = -5253. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.6575 meters to millimeters.\nAnswer: 206657.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 7*z = -3. Differentiate -z + 42*y + 5 + 11*y - 2 wrt y.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.34193, -0.1, 1\/5, -0.09?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1756572297 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.255265 kilometers?\nAnswer: 9255265000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486, -488, -490?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000148718 rounded to seven decimal places?\nAnswer: 0.0001487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50041034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353285 is divided by 341.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 4*a - 1. Determine s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 13*q - 5. Let w(l) = -l**2 + 12*l + 4. What is -6*c(i) - 7*w(i)?\nAnswer: i**2 - 6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 - 264538*f**3\/3 + 529070*f**2\/3 - 88178*f.\nAnswer: 2*f*(f - 132267)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + ((-10)\/120)\/((-30)\/3636)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45221.64 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcffffhjjfhihhf. What is prob of sequence ji?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1844, 8141, 18636, 33329?\n\"Answer: 2099*c**2 - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17270*d - 34537*d - 201*d**3 + 17267*d + 199*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 6*p**2 - 5*p + 6. Let x = 14 + -19. Let b be d(x). Suppose 0 = 3*h - b*h + 6. Which is bigger: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6516 = -5*k + 3596, 0 = 2*w + 8. Let v be (3728\/48)\/((-1)\/(-39)). Let c = v - k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28222*a + 28196*a + 1993030 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -2?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfd when three letters picked without replacement from {h: 3, f: 2, d: 2, y: 5}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*s**2 - 98*s - 123*s**2 - 129*s**2 - s**3 - 121*s**2.\nAnswer: -s**3 - 98*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 15*w + 185. Calculate the remainder when i(4) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 171100556773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -96711156 divided by 24177789\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 14*w + 142 = 790 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6124 or 3349?\nAnswer: 3349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*h - 762 = 0. What are the prime factors of h?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(224)\/sqrt(2).\nAnswer: -1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}