diff --git "a/data/dm_maths/full_data_1/10470_11255.jsonl" "b/data/dm_maths/full_data_1/10470_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10470_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Evaluate 1 - (16\/(-56))\/(3\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 2*b - 15. Suppose -2*l + 26 = b*z, 13 + 15 = 3*l - z. Let k = l + -2. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11 = -w - 5*o, 3*o + 37 = 5*w. Let t(u) be the first derivative of -u**4\/4 + 3*u**3 - 3*u**2 + 9*u + 8. What is the tens digit of t(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -m + 14 - 0, 5*m = -i + 25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**14\/i*i*i*(i*i**32)\/i assuming i is positive.\nAnswer: i**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + 1 + 5 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -4*p + 3*d + 55, -4*p + d = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -656, 3, 1.\nAnswer: -656, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(1664\/120)*(-22)\/(2640\/(-260)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-1 + 3) - -329. Let i = c + -746. List the prime factors of i\/24*(-8)\/3.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:07 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7649 - 7644.757. Let u = 4.2 - n. Let m = -0.04 - u. What is m rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 3*c + 4578 - 4581, 0 = -0*y - 2*y + c - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5 + -5 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*(-117)\/(-11583)*((-12)\/(-22))\/1?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 2\/9, -4, 2\/7 in descending order.\nAnswer: 65, 2\/7, 2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -935, -1620, -3479, -7100, -13071, -21980?\nAnswer: -34415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-126)\/(-15)))\/((-870)\/1044)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 + 2*x - 1. Let b be t(1). Let s be 0 + ((-32)\/b)\/4. Let c = -5 + 7. What is the greatest common divisor of s and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-1\/6)*l*l**(-1\/6)\/l*(l**(-2))**(-2\/31))\/((l**(-1)\/l*l)\/(l\/l**1))**(-20\/3) assuming l is positive.\nAnswer: l**(-422\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.9 + 7.9. Which is the nearest to y? (a) -0.1 (b) 1\/6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 + 5 - 44*j**4 + 46*j**4)*(-2*j - 3 + 3).\nAnswer: -4*j**5 + 152*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-51))\/(5\/6 - (-3859)\/(-1362)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2638374507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 + 3*w - 14. Let m(z) = -270*z + 2694. Let r be m(10). Calculate b(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {x: 4, e: 1, z: 5, a: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from exejkxzjxjzjxjzzkezv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u - 8 + 7*u + 11*u + 39*u)*(0*u**4 + u**4 - 4*u**4).\nAnswer: -213*u**5 + 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -23. Solve -v - 7 = 2*x, 4*x = 6*x + w*v + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -201.67 to 0 dps.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -63*3\/(1 + 2). Let j be c*3\/15*-5. Suppose -2*z = -5*z + j. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 1 = 5*h. Let a(z) = -6*z**2 + 14*z + 12. Let d be a(h). What is d rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*h - 47970 = -40406 for h.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 342059 - -0.4.\nAnswer: 342059.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 - 14*r**2 - 128*r**3.\nAnswer: -128*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125 divided by 75?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9 = -2*o. Let c be (0*1\/o)\/2. Suppose 0 = 4*i + 5*r - 19, 0 = -c*i - 3*i - 4*r + 15. Solve 10 = -3*h + i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1748*r = -1825*r + 528682. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5.6. What is the third smallest value in 3, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993671 rounded to the nearest one thousand?\nAnswer: 1994000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*x - 0 - 3, -4*b = 5*x + 5. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)\/(b\/(b\/b**(6\/5)*b)) assuming b is positive.\nAnswer: b**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a factor of 429849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62489496 to the nearest integer?\nAnswer: 7905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.002*2.97.\nAnswer: -0.00594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 266840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 39*s = 2. What is the units digit of (s\/6*-1)\/((-10)\/(-3330))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, u: 5}. Give prob of sequence zu.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10011001000111111 (base 2) to base 16\nAnswer: 1323f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181 - 190 - 1*-55769?\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-5))\/((-4)\/(-5)). Let f = -7087 + 7091. Which is the closest to -1\/2? (a) f (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/9 and 3\/((-378)\/713) - (42 - 47).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = -4*x - 5, -1 = -3*x - o. Solve d = -x - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18359023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.21, 2, 0, -2\/3, 2\/85?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*l + 17, -3*l + 6*l + 3 = 0. Let u = 0.44902 - 0.74902. Let i be 7\/(21\/(-18)) - -1. What is the third smallest value in u, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by -82?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/136 and 23\/238?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + -3. Let v = -14.7 - u. Let s = 0.2 - 0.1. Which is the nearest to s? (a) v (b) 2\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 1:32 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 1204 = -136. What is the third derivative of 101*u**2 + 180 + 182 - 362 - o*u**4 wrt u?\nAnswer: -1608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.56 - 0.16. What is the closest to u in -2, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18170 - 18170.08. What is the nearest to -7 in 0.01, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 10:11 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75180 and 1015420?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -277, -276?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*q, -5*q = 8*f - 3*f - 30. Suppose 0 = -19*p + 21*p. What is the third derivative of -2*j**2 + p*j + f*j - 3*j - j**4 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**4\/12 + 5*f**3\/6 + 2*f. What are the prime factors of v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 943, 1987, 3031, 4075?\nAnswer: 5119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -26*x + 136 - 29 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 190 + -197 + (2 - (1 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -7*n + 4488, -3*n + 0*n - 2*b + 1911 = 0. What is the highest common divisor of n and 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -9 + 0*d**2 + 4*d**2 + d**2 - 24 + 3*d**4. What is the second derivative of w(q) wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 9*n + 1. Let a be x(7). What is the smallest common multiple of 10*a\/30*16\/6 and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 43981?\nAnswer: 43991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 5390\/1225*5\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/4 + 3173*x**2 + 39746301*x\/4 - 1672544529\/2 = 0?\nAnswer: -6387, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*u - 12345 = -13475 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 287*d**2 - 1696*d - 19. What is m(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.03738119 times -63\nAnswer: -2.35501497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose 0 = m + 3*b - 62, 170 + 126 = 4*m - i*b. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -474030549, -474030551, -474030553, -474030555, -474030557?\n\"Answer: -2*a - 474030547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 132362 (base 9) to base 13\nAnswer: 2a836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -33*b**4 - 10618074*b**3 - 125481648*b**2 + 23165856*b = 0.\nAnswer: -321748, -12, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -462369 (base 15) in base 8?\nAnswer: -14614446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -512 - -5630\/11. Put -0.9, n, 0 in descending order.\nAnswer: 0, n, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:16 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7380.3924 nanoseconds in hours?\nAnswer: 0.000000002050109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - -2. Let g = -4.2 + 0.2. What is the closest to 1 in g, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 3}. Give prob of picking 4 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/6*3)\/(4544\/(-27832)*7\/4).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0 + 0*b**4 - 59\/30*b**6 - 38*b + 0*b**3 + 0*b**5 + 22*b**2. Differentiate q(j) with respect to j.\nAnswer: -236*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -42, 57 in ascending order.\nAnswer: -42, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*j - 40 = 4*o, 4*j = -o + 45. Let b = j - 17. Which is smaller: -4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.6 - 0.6. Let u = 5.08 - c. What is the nearest to -1 in -4, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, u: 5, y: 1, b: 10, n: 2}. What is prob of picking 3 u and 1 y?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5859, 0.5, 1?\nAnswer: 5859","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from jjp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 8*t + 7 - 14 + 3 in the form d*t + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 29 = -2*o. Let j be 8\/o + 18\/(-5). Let z(v) = 4*v**2 - 6*v - 10. Let h(m) = m**2 - 1. Let y(u) = -5*h(u) + z(u). Determine y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7997 litres in millilitres?\nAnswer: 14799.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/42)\/(3\/9). Let r = 31 + -29. Which is the closest to f? (a) -5 (b) 4\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*c**3 + 16969 + 16967 - 433*c**3 - 50907 + 16971.\nAnswer: -1563*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418 is divided by 180.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846.4276 nanograms to grams.\nAnswer: 0.0000008464276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2184, -2073, -1888, -1629, -1296, -889?\n\"Answer: 37*u**2 - 2221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*n**3 - 10*n**2 + 5222*n wrt n.\nAnswer: -108*n - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 119*o**4\/4 - 1869*o + 488. Differentiate l(p) wrt p.\nAnswer: 357*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6160 and 1855 + -1 - (-4)\/(1 - (-15)\/(-9))?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-42)*(9 + 168\/(-16)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 3. Let x(v) = 6*v - 8. Let t(s) = s**3 + 53*s**2 - 2*s - 89. Let q be t(-53). What is q*n(m) - 6*x(m)?\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3325153*l**4 - 18218*l**2 - 173 wrt l?\nAnswer: -79803672*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 2394*i**2 + 715006*i - 717402.\nAnswer: 2*(i - 1)*(i + 589)*(i + 609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*g**3 - c**2*g*n**3 + c*g*n**3 - 3*g**3*n - 15*g**2*n**3 - 25*g*n wrt g.\nAnswer: 6*c**2*g - 18*g*n - 30*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41113386 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2606*c - 2280*c + 11410 = 0 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-39)\/(-26))\/((-3)\/10*-5). Suppose 2*a - 3*x = -a + 24, 5*a + x - 10 = 0. Let i be (10 + -6)*a\/4. Sort g, 5, i, -3.\nAnswer: -3, g, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 - 463458544*t\/9 - 26849227750824992\/9.\nAnswer: -2*(t + 115864636)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 76*46\/55936*-848\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(sqrt(704) + (sqrt(704)*-2 - sqrt(704))))**2 + ((sqrt(539) + sqrt(539)*-1)**2 + 2)*6.\nAnswer: -480*sqrt(11) + 25381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u + 6. Let g be ((-14)\/35*2 - 1\/5) + -5. Determine f(g).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 6, -679, -11, -3 in descending order.\nAnswer: 6, -3, -6, -11, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 99, 162?\n\"Answer: 63*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.073569066 to 3 dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 + 4 - -209744) + 2 + (3 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 2499078*g**2 + 249892800*g - 6247195000.\nAnswer: 2*(g - 1249439)*(g - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3106879 by -3106879.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14580 and 560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250 - 3748\/15. Let q = -1.5 + 1. Let y = 0.1 + 4.9. Which is the closest to -2\/5? (a) q (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 5. Suppose -4*z - 24 = 2*y, 0*z + 15 = -3*z. Let a(x) = 1. Give y*a(d) + t(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, t: 1, i: 1, z: 2, x: 8}. Give prob of sequence ezx.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 469, 1055, 1643, 2233, 2825?\n\"Answer: y**2 + 583*y - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 13*g + 33. Let r be u(10). Suppose -r*b + 6*b + 5*p = 63, b = 5*p + 1. Calculate the remainder when 23 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4972 and 104?\nAnswer: 129272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631797073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*o**2*w*y - f*w - 2*o**3*w - 158*o**2*w*y - o**2 + 2*o*w*y + 2*o - 38*w*y wrt o?\nAnswer: 4*f*w*y - 12*o*w - 316*w*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(1\/3))**(-42\/11))**1)**(6\/7))**2 assuming i is positive.\nAnswer: i**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(605))**2.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = m - 5*t - 8, -51 = -4*m - t. Sort 9, -1, m in decreasing order.\nAnswer: m, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -15*o + 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**3 - z**2 + 3*z + 14. Let l be g(-6). Let f = l - -3490. Round f to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -44. Suppose m = -3*w + 13 - 7. Suppose 1 = w*n + 5*z, -4 = -3*n - 15*z + 10*z. Solve 0*g + 4*g - n*x + 7 = 0, g - 3 = -4*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 2, -68, -238, -550, -1046, -1768, -2758?\nAnswer: -4058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2 and 5\/(-4)*5\/(-120).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*a + 23047 = -1645*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -159, -1607, -5637, -13539, -26603, -46119?\n\"Answer: -215*m**3 - m**2 + 60*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 370*s**3 - 43584*s**2 + 1576718*s + 1620673.\nAnswer: -(s - 149)**2*(s - 73)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*4\/(-184))\/((-78)\/((-520)\/(-20)))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/3 - 226484*d\/3 = 0. Calculate d.\nAnswer: -226484, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36057 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 less than -5538067138?\nAnswer: -5538067880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5652708 and 22830?\nAnswer: 28263540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as 29\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-18))\/((-10)\/15). Suppose 8*u - 3*u + 29 = -o, -2*o - 3*u = 23. What is the second smallest value in 4\/7, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7369, 3, 0 in ascending order.\nAnswer: -7369, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15580 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -11)*1\/2. Let f = w - -5. Let t be -1 + f\/(-1) + 13. Solve 19 = s - 4*m, t*m = -s + 4*m - 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*t - 41. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -1\/4*m**2 - 1\/6*m**3 - 1 + m. Factor n(t).\nAnswer: -(t - 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = -10, 4*v = -3*h + 34. Let y be 18\/(-108) - (-571)\/h. What is the second derivative of 3*x + 17*x + 101*x**2 - y*x**2 wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 30102, 182 in increasing order.\nAnswer: -2, 182, 30102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/29760 and 111\/409696?\nAnswer: 12290880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*h - 507*h**3 - 17*h + 341*h**3 wrt h.\nAnswer: -996*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**3 + 66*w**3 + w + 65*w**3 - 196*w**3 + 58*w**3 - w.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 462*z + 5. Let r be w(1). Let b = 671 - r. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3696*f**3 - 2*f**2 + 57337*f.\nAnswer: 22176*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 876232\nAnswer: -876227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6897c - -4a?\nAnswer: -68932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -3)*-5 - sqrt(153)) + 0.\nAnswer: -18*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1053) - (-3 + sqrt(1053))*-1 - (sqrt(1053) + 2 + sqrt(1053) + -4)))**2 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (66\/8)\/(((-315)\/28)\/(-15)). Let n(g) = -g**3 - 3*g**2 + g - 1. Let f be n(-3). Let v = f + 6. Solve p + w = -v*i - 3, -3*i - 5*p - 35 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*-6*2\/(-18).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 19. Which is the closest to 2\/5? (a) j (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*s - 8*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260389984 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 + 326. Let h = q + 223. Suppose 4*d - h = -5*v, -4*d + 0*v = -5*v - 455. What is the highest common divisor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 165501*h + 662052.\nAnswer: -3*(h - 4)*(h + 55171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/275*-69*10\/40 and 67\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 - o**3 + (-4 - o**2 + 4)*(-2*o + 4*o - o) - 3*o**3 + 0*o**3 + 2*o**3 + o**3 + 0*o**2 + 0*o**2 + 0 - o**3 + 0)*(-18 + 7 + 10).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1201*a + 131*a**4 + 1201*a + (4*a**3 - 4*a**3 + a**3)*(2*a + a - 2*a) - 2*a**3 + 2*a**4 + 2*a**3)*(-a - a + 0*a).\nAnswer: -268*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + -1*((sqrt(1728) + 0)*-1)**2)*-2.\nAnswer: 3445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -88, 1 in ascending order.\nAnswer: -88, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206389 by 63.\nAnswer: 206389\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -672*i**3 - 4172?\nAnswer: -2016*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -d - 2*d. Solve 0 = z - 5*z - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2*(5 + -3). Find the second derivative of -q**b - 10*q - 2*q**3 + 11*q wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114043651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = -4*c + 86, 105 = 5*c + 5*k. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(-3) - -22*24\/(-1584). Solve -6*l + 0*l = p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*q + p, 5*q = -4*p + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57118bb - 8?\nAnswer: -5711907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 281620 + -190989. Suppose o = 122502 + r. Let y = o - 312133. What is y rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0245 - -132709.2?\nAnswer: 132709.1755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - x**2)*(183*x**2 + 38*x**2 - 35*x**2 + 413*x**2).\nAnswer: -599*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -463*b**6\/40 + 413*b**4\/12 - 11*b**2 - 39*b. Find the second derivative of t(m) wrt m.\nAnswer: -8334*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170374703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-8)*w*w\/w**(-3))**(-4)\/(((w\/(w\/w**(-2)))\/w)**(50\/9))**(-24\/11) assuming w is positive.\nAnswer: w**(-312\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -8, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 52. Suppose -3*f + 2*f - j*d - 11 = 0, 2 = 2*f + 2*d. Suppose -4*c + 88 = -f*z, 4*c - c - 58 = -z. Solve -3*r - c = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10466891*p**2 - 4. Let r(g) = g. Determine o(r(m)).\nAnswer: 10466891*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)\/(1221\/333)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -4.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1 + 11 - g**2 - g**3 - 6 + 49*g - 9*g**2. Let q be w(-14). Calculate the highest common factor of q and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 7. Suppose 60 = 4*b - 180. Let k = 182\/3 - b. What is the nearest to k in -1, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 0.01?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5428, 10863, 16298, 21733, 27168, 32603?\nAnswer: 38038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - i + 13. Let v(r) = 6*r**2 - r + 25. Calculate 5*b(l) - 3*v(l).\nAnswer: -3*l**2 - 2*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 35*t + 305 = -30*t, 4*t = p - 94. Solve -p = -b + 5*r - 131, -5*b = 3*r - 23 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -21*j**3 - 5*j + 57. Let x(g) = 10*g**3 + 2*g - 29. Determine -2*a(n) - 5*x(n).\nAnswer: -8*n**3 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3*z + 0*z)*(4*z**3 + z**3 - 4*z**3) + (-6 - 5*z + 6)*(8 - 8 + 2*z)*(-3*z**2 + 0*z**2 + 5*z**2).\nAnswer: -19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3004*o**2 - 38*o - 34. Let u(y) = -1060*y**2 + 13*y + 12. Let f(k) = 17*u(k) + 6*w(k). Let p(m) = 2*m**2 + 3*m**2 - 2*m**2. What is p(f(q))?\nAnswer: 48*q**4 - 168*q**3 + 147*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9931 or 9878?\nAnswer: 9931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*p - 22, p = 2*t - 2 + 13. Suppose -5*g = -p*g. Suppose -10 = -2*d - 0*d. Solve 5*x + 2*o - 7 = 0, g = -d*x - 4*o + o + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2082 and -18897.\nAnswer: 39343554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -155*t**2. Let k(q) = 7*q**2. Determine x(k(m)).\nAnswer: -7595*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/3 - -3\/2. Let z(r) be the first derivative of -1\/2*r + 1 - m*r**3 - 1\/2*r**2. Determine f, given that z(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 26460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 56*l + 58. What is b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y + 5755209 - 5755065 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3544 + 3552. What is the lowest common multiple of 9496 and r?\nAnswer: 9496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46618 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/((t\/(t*t*(t**(1\/7)*t)\/t*t))\/t)))\/t**(3\/5)*t**(-28\/3))**(-2\/47))**(-43) assuming t is positive.\nAnswer: t**(-118078\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 6*y**2 + 6*y - 7. Let d be o(7). Let w be 180\/63 + (-2)\/d. Find the first derivative of 2*v - v + 6*v - w wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16020 divided by 3204?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**12)\/(w*w\/w**(-2\/7)) assuming w is positive.\nAnswer: w**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2114 divided by -6.\nAnswer: -1057\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 862*l**2*y**2 + l**2*y - 439*l**2 + 19171*l*y**2 + 169*l wrt l?\nAnswer: 1724*y**2 + 2*y - 878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6. Let h(a) = -2*a + g*a + 0*a - a. Let r(m) = -2*m. Determine r(h(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 + 16*n - 3. Give u(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1125 and 8098200.\nAnswer: 40491000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-28) + 48\/21 + -2. Let 1\/4*g**2 + 1\/4*g**3 + 0 - k*g - 1\/4*g**4 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + 3*g)*(-6 - 3 + 3)*(-4 + 1 + 5).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -731103\/2 and -365553 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 4161 + 4113 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/(-180) - 24\/(-40). What is the fourth biggest value in p, 5, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 a factor of 229371256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168000269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18269199 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8184 is divided by 8183.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**3 - k**2 + 3*k + 2. Let g(a) = 7*a + 3 + 21*a**3 + 2 - 16*a**3 + 6*a**3 - 2*a**2. What is -3*g(z) + 7*j(z)?\nAnswer: 2*z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*s = 5*t, 5*t = 3*s. Suppose -d + 3*h - 3 = -t*h, 2*h = -d - 8. What are the prime factors of (0 - -2 - d) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2761.8678 - -0.5\nAnswer: 2762.3678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67744581 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.885817 centuries?\nAnswer: 1062.9804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1432842889 to 4 decimal places.\nAnswer: -0.1433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/((l**(-2)\/l)\/l))\/l)\/l)**(3\/4))**(-1)\/((l*l**6)\/l*l\/(l*((l*(l\/((l**(2\/7)\/l)\/l))\/l)\/l)\/l))**(1\/3) assuming l is positive.\nAnswer: l**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 5*m**2\/2 + 10*m - 5. Let n be a(-9). Let b = -13 - n. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 75\/1 + (-5)\/((-5)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27219 - -27224. Which is the fourth smallest value? (a) 0.9 (b) 15 (c) 0 (d) -4 (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/13 - 3361576*j\/13 + 1412524150472\/13 = 0. What is j?\nAnswer: 840394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 11*a**2 - 6*a + 27. Give c(11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 7 + 6 + 0*r**2 - 4*r**2 to the form u*r + g*r**2 + l*r**3 + p and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 121?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13126627?\nAnswer: 13126627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 7*s + 3. What is the second derivative of 4 + 4*z + 3*z - 37*z**5 - 4*z**5 + 5*z**s wrt z?\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 - 11*q**2 - 91*q + 18. What is the thousands digit of i(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 74. Let z = 0.8 + -0.3. Which is the closest to 2? (a) k (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2 (c) 1\/2 (d) 3.3 (e) 18\/19 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 - 3*u**2 - 3*u + 2. Suppose 26*g + 68 = -10. Let m(k) = k**3 + k**2 + k. Suppose 4*o + 103 = 99. What is g*m(n) + o*c(n)?\nAnswer: 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 94 = 4*x. Solve 0*b + x = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**5 - 60*x**4 - 70*x**3 + 60*x**2 + 65*x = 0?\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*((-24)\/9 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (3 - (-52)\/(-16))*(-1 - 3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4122760, -8245520, -12368280?\n\"Answer: -4122760*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 814.63 rounded to 0 decimal places?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.5 + -16. Let a = 58 + -82.4. Let t = y - a. What is t rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175006?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 2*x - 6. Let q(r) = 2*r**2 + 2*r + 5. Determine 5*q(w) + 4*z(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10402 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/((p*(p\/p**15)\/p)\/p*p)*p\/p**24*(p*(p*p*p\/(p**(8\/11)\/p))\/p)\/(p**(2\/73)\/p) assuming p is positive.\nAnswer: p**(-2212\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 4 = 4*x + 11*h, 0 = 3*h - 12. Let o(t) be the third derivative of 0*t**4 + 0*t**3 + 0 + x*t - 4*t**2 - 1\/60*t**6 - 1\/15*t**5. Factor o(r).\nAnswer: -2*r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 950*m - 899*m = 140709. What is the highest common divisor of m and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2744 - -2738. What is the third smallest value in 3.8, z, -0.1?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149027, -152971, -156913, -160853?\nAnswer: -164791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 714 + 2461*l - l**4 - 3418 - 102*l**3 + 2843*l - 2497*l**2 = 0?\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j + j)*(866*j**2 - 990*j**3 - 866*j**2) + (-3 + 3 + j**2)*(0 + 3*j**2 + j**2 + 1).\nAnswer: -1976*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 - t - 3. Let a be h(-4). Let w be (a - 5)\/(2\/6 + -1). Solve 4*q = -w - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*y**2 + 25*y + 10*y**2 + 8*y**2 + 336*y**6 - 34*y**6 + 7*y**2 wrt y.\nAnswer: 36240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.055 and -0.091.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/9 + (-12)\/(-54). Suppose -2*x = x + 3*t - 12, -a*x + 4*t = 2. Find the first derivative of x*w + 8*w**2 - 28 + 14*w - 5*w - 6*w**2 wrt w.\nAnswer: 4*w + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u**2 - 2*u. Let k(j) = 454*j**4 + 5*j**3 + 5*j**2 + 10*j - 513. Let r(b) = k(b) + 5*x(b). Find the first derivative of r(i) wrt i.\nAnswer: 1816*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1755 and -3.1.\nAnswer: 5440.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2830311.\nAnswer: 3, 11, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 40, 3\/4, 1.1, 2\/13 in decreasing order.\nAnswer: 147, 40, 1.1, 3\/4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 26. Let f = 12 - z. Let n = 73 - f. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/69186 and -57\/22958?\nAnswer: 61091238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 5*m = -24*s - 23, -6 = 3*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -700 + 702. Let w be ((-20)\/(-12))\/(-5)*-15. Suppose -2*o = -w*o. Solve 2*r + x*r - 8 = o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12492243 + 63.17.\nAnswer: 63.29492243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 5532477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13859 is divided by 192?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*v + 98*v = -347*v - 40495 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 5:50 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 4*y**2 + y + 10. Let v be k(-2). Let a = 11 - -4. Solve v = b + 4*b - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1815*p**2 + p. Is x(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = v + f + 2, -3*v + 4*f = -29. Suppose -n = v*n - 132. Suppose 0 = -4*x + 46 + 22. Calculate the remainder when n is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1 - -3)*1. Suppose -n*v + 48 = -v. Let d = v - 23. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, 1\/2, 17902, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/60 + 5*i**4\/12 + 7*i**3\/6 + 13*i**2. Calculate the remainder when 11 is divided by u(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 6. Suppose -8*f + z*f + 10 = 0. Solve 0 = k + 2*o - 11, 3 = -k + o + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 61 (c) 0.02047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10104 + -1150?\nAnswer: 4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242222 + -212?\nAnswer: -242434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxtxtxxxttxtx. Give prob of sequence tx.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1000001?\nAnswer: 1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 331\/1380 - 11\/276. What is the closest to 0.1 in t, 98, 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*3)\/sqrt(9) + 5 + sqrt(3)*2)**2 - (4*1*sqrt(5808))**2.\nAnswer: -92828 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-13 - -22) - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10*n - 5*n + 3 = 0, -2*u + 3*n = -1. Suppose 5*o = -c - u, 3*o + 0*o + 8 = -4*c. Solve -2*a + 6 = 2*g, 4*a + o*a = 3*g - 23 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001291769807 rounded to seven dps?\nAnswer: 0.0001292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 194, 241 in increasing order.\nAnswer: 3, 194, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:09 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 1, w: 7, l: 4}. Give prob of sequence zdlw.\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 67 = 7. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 45 (b) 5 (c) 3\/43 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 9 + 16*s - 36*s - 21.\nAnswer: -19*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -63\/8, 1, -5\/2, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, s: 1}. Give prob of sequence qq.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/(-460)*(-943)\/(-82)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 677924297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 - 5. Let g(u) = 2*u. What is r(g(t))?\nAnswer: 24*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -46816*y - 968. List the prime factors of s(-2).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 13*f + 15. Let b be l(1). Put -225, b, -1 in ascending order.\nAnswer: -225, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37565628 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 366 = q, 0*o - 3 = -o. List the prime factors of (-3 - (-18)\/14)*q\/(-6).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 0*h**2 + h**2)*(-114 + 114 + 28*h**2 + (h - 1 + 1)*(-6*h - h + 2*h) - 4*h**2 + 6*h**2 + 10*h**2 + (h - 5*h + 3*h)*(-2*h + 3 - 3)).\nAnswer: -37*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 48300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(4\/(-2)) - -22. Suppose r = -5*p + 155. Let t = p + -15. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 10. Let v(l) = -2*l + 5. Let d be v(6). List the prime factors of y(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147 - -737\/5. Sort r, 1, 1\/51 in descending order.\nAnswer: 1, r, 1\/51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00353382792 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5)*(7 + (-12 - -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -1. Let f = 3.93 + 0.07. Suppose -4*m - 5 - 7 = 0. What is the second smallest value in m, f, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(z**2 - 3*z**2 + z**2) + (6*z - 9*z + 4*z)*(-2*z + 5*z + 4*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -364 + 257. Let p = 3 + s. Let o be ((-65)\/p)\/(2\/16). Let g(f) = -f**3 + 4*f**2 + 6*f - 6. Determine g(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2255814?\nAnswer: 2, 3, 11, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 49, -6\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2. Let i(b) be the second derivative of 2*b - 7 + b**2 - 15\/2*b**3. Determine i(y(x)).\nAnswer: 90*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(2*3\/(-18)). Let v be 0\/5 - -4 - 0\/13. Factor 4*c**4 + c + 2*c**v + 6*c**2 + m*c - 8 - 4*c**4 - 10*c**3.\nAnswer: 2*(c - 4)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**4 - p**3 - p. Let g(x) = 432*x**4 + 15*x**3 - 66*x**2 + 15*x. Let l(o) = 4*g(o) + 60*t(o). Find the third derivative of l(d) wrt d.\nAnswer: 38592*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 52 = -5*y. What is the hundreds digit of 1476\/y - 4\/(12\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -3. Suppose -j - 18 = -3*q, 3*j = -0*q - 2*q + 1. What is the remainder when (8 - 7)\/(y\/7) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 284001070*h**3 - 173360838*h wrt h?\nAnswer: 1704006420*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3660 + 3662. Factor -i*b**3 + 8\/3*b**2 - 2\/3*b + 0.\nAnswer: -2*b*(b - 1)*(3*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6650728718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0 + 0)*(-2*j + 2*j + 2*j**2 + (j + 3 - 3)*(j - j + 2*j) - 9*j**2 - 141 + 141) - j**3 - 2*j**2 + 2*j**2 + (-j - 5*j + 5*j)*(-3 + 3*j**2 + 3).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3119*k - 12 = -2*m - 3123*k, -5*m = -k + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44426*k**2 - 235706*k?\nAnswer: 88852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.14, -3, -5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4 - 2 = -2*u, -3*f - 5*u = 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, r: 10, s: 5, u: 1}. Give prob of picking 2 k and 1 u.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 2*b - 7*b + 88)*(-3*b + b + 0*b).\nAnswer: 10*b**2 - 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0668 - 0.1332. Let j be 5*-2*2\/(-5). Suppose -j*x = -0*c - c + 24, 3*c - 12 = 0. Put 2, q, x in descending order.\nAnswer: 2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*z + 910 = -494*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.68 (b) -2 (c) 2\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 8*j**2 + 9*j - 2. Let o be c(-7). What is the units digit of (-1)\/((-44)\/o + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30891.5 + 30892. Sort -4\/7, 87, 5, a, 1\/8.\nAnswer: -4\/7, 1\/8, a, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 34*f - 110. Let r be d(-40). Solve 70*j - r = 44*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 1545392?\nAnswer: 1545366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56, -398, -740, -1082, -1424, -1766?\n\"Answer: -342*h + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11*n - 48 = 0. Calculate the least common multiple of 27 and 21\/28 - (-114)\/n.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -217 - 3?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*j - j + d, -4*j = d - 75. Let n = j + -17. Suppose 3*o = 5*k - 19, n*o + k + 4 = o. What is the nearest to o in -0.5, 0, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 557, 7, -6 in ascending order.\nAnswer: -6, 7, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4939 is divided by 2263?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5537001 + -435140.\nAnswer: -5972141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -94*o + 96*o - 3*a, 4*o - 12*a = 76 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-20)*2 + (-127764)\/(-315) is divided by (324\/(-2))\/(-3) + 4.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - -2233?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*v = -0*x - 404, 0 = -3*x - 5*v + 1156. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.66060357?\nAnswer: -3.30301785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 372 + -812. Let s be (3\/2)\/((-10)\/w). Round s to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3621270*0.04.\nAnswer: -144850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 4, o: 1, v: 3, e: 2, l: 4}. What is prob of picking 1 l, 1 e, and 1 f?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38077 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 14215 and 14214 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/72 + y**3\/6 + 92*y. Factor n(x).\nAnswer: -x*(x - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -0.2108?\nAnswer: -5.7892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3\/8 (c) 4 (d) -3533\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1.587?\nAnswer: -0.4761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 17. Suppose p = 2*r - 5. Suppose -2*i = 5*t - 57, -r*i = t + 3*t - 48. Solve t = -4*k + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46560, -46555, -46550, -46545?\nAnswer: -46540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -412*a**3*q**6 + a**3*q**2 - 23*a**3 - 869*a*q**2 - 65*q**6 wrt q.\nAnswer: -49440*a**3*q**3 - 7800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 35\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 636, 2546, 5724, 10182, 15932, 22986, 31356?\n\"Answer: 2*t**3 + 622*t**2 + 30*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*g - 1116*g = 360 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Suppose m*n - 592 = -0*n. Suppose -732 - n = -2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.54562m in micrometers?\nAnswer: 28545620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(216)\/sqrt(81))\/(4*sqrt(24)\/sqrt(2) + sqrt(12) - sqrt(12)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - h + 2, 3*l + 5*h - 2 = 0. Let n = l - -22. Suppose -2*x = -33*x + 651. Calculate the highest common divisor of n and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2 + sqrt(847)))**2 - (sqrt(847) + (sqrt(847)*1)**2*-4)) + 5 + ((sqrt(847) + 4)*3 - (sqrt(847)*6*-5)**2).\nAnswer: -755491 - 154*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 12*s - 14*s + 7*s.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119552.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62505607 to the nearest integer?\nAnswer: 7906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(800\/(-48)*3)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/9)\/(744\/(-6696))*75.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1648366 to the nearest integer?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*-1*(-1)\/(-2). Let v be k + ((-3)\/(-3))\/(-5). Suppose 5*m + 361 - 351 = 0. Which is the third smallest value? (a) 26 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 207*p**2 + 0*p + 204*p**2.\nAnswer: -3*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.1. Let q = 0.1 - k. Suppose -4*j - 1 = 5*f, 5*j = -22 + 27. Which is the closest to q? (a) -3 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/15 - 8*k**3\/5 + 34*k**2\/15 + 4*k = 0. Calculate k.\nAnswer: -1, 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 20*o**2. Let a(b) = -3*b**2. Suppose 2*l + 45 = -l. Let m(u) = l*a(u) - 2*s(u). Let z(d) = -d**2. Determine m(z(g)).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 30014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, -20, -6 in ascending order.\nAnswer: -20, -16, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.4\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -56*b**3 - 1675*b**2 + 190*b - 120. Determine u(-30).\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 263193*p - 3158317. Determine v(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -134*l - 1807. What are the prime factors of f(-87)?\nAnswer: 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 460 + -444. What is the remainder when 37 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 33*d - 31*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1725960415 and -0.042.\nAnswer: -1725960415.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + ((-170)\/(-125) - 1). Which is the nearest to 0? (a) -1\/3 (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -915 - -913. What is the closest to -1 in x, -3\/4, -14, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*a + 14 - 95 = -278*a - 3*r, 4*a + 2*r = 54 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 616004 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (4 - (0 + 7)) - -1) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b + 2. Let v be j(-2). Suppose v*i + 16 = 48. Is (0 - (3 + -151)) + -3 + i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 127*s + 19 + 127*s - 2*s**3.\nAnswer: -3*s**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 827368937.843+4\nAnswer: 827368941.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.85971 - -0.14029. Sort -1\/4, -2\/9, 0.18, -0.3, f.\nAnswer: -0.3, -1\/4, -2\/9, 0.18, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) 5\/6 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/11 + 1377*a**2\/11 - 632043*a\/11 + 96702579\/11.\nAnswer: -(a - 459)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 67, 69764\/5, 0?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21085 times -1\nAnswer: -21085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 92 = -4*w, 4*j - 3*w = -4*w + 140. Let n = j - 21. Is 1\/5 + 42\/n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*i - 2*q + 4*q, 0 = -5*i + 3*q - 15. Let d be (-8)\/i + 24\/(-18). Let c(t) = -t**2 - t + 30. Give c(d).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 35*y**2 + 35*y - 35. What is v(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 - 5*i - 4. Let f(l) = -3*l**2 - 4*l - 3. Let a(h) = 5*f(h) - 4*r(h). Let n be a(2). Solve 2*o = 3*m + 6*o - n, -11 = -3*m + 2*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -3 (c) -4 (d) 0.246\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 59, 138, 259, 428, 651, 934?\n\"Answer: s**3 + 12*s**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -1\/64, 1\/3, -2, 9\/4 in decreasing order.\nAnswer: 4, 3, 9\/4, 1\/3, -1\/64, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -121*n**3 + 2*n**2 + n. Let f(l) = l**3 + 3*l**2 + 3*l + 1. Let w be f(-2). List the prime factors of i(w).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**4\/4 - 2*p**3 - 3*p**2\/2 - 3. Let b be q(7). Let h be ((-24)\/b)\/(2\/14). Let j(l) = l + 7. What is j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*a**2 - 17*a**2 + 5*a**2 as t*a**2 + i*a + z and give t.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7 (b) 1 (c) 1139 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from uunubuuunnunuuub?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2222789025 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3511*o**2 + 927*o + 4 wrt o?\nAnswer: -7022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 567707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124.532 - 3.168. Let q = o + 137. Let v = q - 9.5. Which is the closest to -1? (a) v (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1201461 and -7.\nAnswer: 8410227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(((sqrt(18) - (1*sqrt(1800) - sqrt(18))) + sqrt(18) - sqrt(18) - (sqrt(18) - (0 + sqrt(288) + sqrt(288)))) + 2 + 5).\nAnswer: -18*sqrt(2) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-742)\/(-2597))\/((-3)\/(-7)). Which is smaller: -5695 or z?\nAnswer: -5695","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - p**2 - 2*p + 1. Let s be t(2). Let k(q) = q**2 + 11*q + 2. What is the smallest common multiple of 14 and k(s)?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25291361, 25291359, 25291357, 25291355?\n\"Answer: -2*y + 25291363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 50761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 4. Let y be p(9). Suppose y*i - 42 = 16*i. Let w be 2\/5 - 4\/10. Solve -4*j + i*j + 5*s + 26 = w, 0 = -3*j + 5*s + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = -16*k + 12, -5 = 5*g + 5*k. Suppose -7965 = -17*n + g*n. What are the prime factors of n?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.552854ml?\nAnswer: 0.008552854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 253.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -1 - (1 + 117\/75). Let i = l + 3\/50. Let y = 0.1 + 0.9. Put y, i, -1\/3 in decreasing order.\nAnswer: y, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 90*z - 288.\nAnswer: 2*(z - 48)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 13*d - 1080 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 26 = b. Let g be 92\/b + 1 - 4. Suppose 3*y + 5 = -2*w - 1, 4*y - 5*w - 15 = 0. Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g, -n + 1002 = -3*g + 2*g. Suppose 5*r + r = n. What is the remainder when r is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.121 + 1.17. What is a rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207920769?\nAnswer: 3, 7, 202061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfttitvvpfvtvtu. Give prob of sequence ft.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.247 - 2.533. Let n = q - -7.78. Let j = -2.88 - 0.12. Which is the third smallest value? (a) 3 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5154 is divided by 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16830\/((-14688)\/144) + 219.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2397?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -50. Let t be -2*(-2 - v) - -3. Suppose 39 + 20 = 3*q + f, -t*f - 47 = -4*q. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2359853, -4719714, -7079575, -9439436?\n\"Answer: -2359861*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*h + 16, 5*o = -3*h - 4 - 8. Let n = o - 0. Suppose 5*v + 0*y - y - 1273 = 0, -5*v + 3*y + 1279 = n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x + 2. What is b(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - (-6 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*t + 557 = -1802 + 54 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s + 5. Let j be f(-2). Solve 10 = j*i - i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*k + k - 4*w, 0 = k + 4*w + 12. Let z(i) = 3*i**2 - 1. Let v be z(-1). Factor -v*r**2 - r**4 + 3*r**k + 2*r**4 - 2*r**4.\nAnswer: 2*r**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5587069 to the nearest integer?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1130 + 1120. Which is the third biggest value? (a) -41 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v - 48*v = -190. Let n = -35 + v. Let i be (-2)\/((-141)\/(-102) + n\/(-2)). Solve 0 = -4*y - 4*c + 28, -2*y - 5*c + i = -6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -13*b - 6. Let a(l) = l - 1. Suppose -496*q + 500 = -621*q. Give q*a(c) + n(c).\nAnswer: -17*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 770 + 846007?\nAnswer: 846777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*v - 2 = -146*v. Sort 5, -5, v, 4 in decreasing order.\nAnswer: 5, 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00403795295 to 6 dps.\nAnswer: -0.004038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*v - 514 + 13946 = 6*v - 2822 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 33 - 15. Let a be (-2 - 4)\/(u\/18). Let j(f) = 2*f + 5. Let v be j(-5). Which is bigger: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4267, -4282, -4293, -4300, -4303, -4302?\nAnswer: -4297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/14 + (-2)\/(-4). Let o = 61\/3 + -20. Let v = -3.8585 - 0.1415. Which is the nearest to v? (a) t (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1772*l**6*m**2 + 2335*l**6 - 8*l**2 - 25*l*m**2 - 129*m**2 wrt l.\nAnswer: 212640*l**3*m**2 + 280200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -22. Suppose -4*p = -4*r, -4*p + r = -4*r. Which is greater: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/3))**(2\/33) assuming c is positive.\nAnswer: c**(2\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 214007 and 214008 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/10450 and -51\/100.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/56 and -87\/9169040.\nAnswer: 64183280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 9*h - 7. Let j be s(-11). What is the units digit of (-39)\/(-15) + 6\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 1:45 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2393207520 and -0.5.\nAnswer: 2393207519.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5470?\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-20*(-27)\/(-16740))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71391*u**3 + 9*u**2 - 15017575*u.\nAnswer: -428346*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 8, 17, 32, 53?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/616 and 59\/448.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -601200 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, a: 3, s: 5, w: 3, c: 3}. Give prob of picking 2 s, 1 c, and 1 t.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**3 - 4*z + 3*z + 11*z**3 + 2*z - 474.\nAnswer: -3*z**3 + z - 474","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -2*h. Solve 2*n = 2*k + 2, -3*n + 2*n - 4*k = h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2074 (base 10) to base 7.\nAnswer: -6022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-49) + -822*(-4)\/56 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.57 - -3.3. What is x rounded to one dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1718, -3438, -5158, -6878, -8598?\n\"Answer: -1720*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 2*h - 8, 3*i + 18 = 3*h. What is the greatest common divisor of 54 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 0.5, 5\/7, 7\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5661 and 201130335.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93493370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*j - 8 = 0, 2*n - 5*n + 5*j - 14 = 0. Suppose 0 = -5*x - n*r + 215, -x + 2*r - 35 = -2*x. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 1. What is the units digit of b(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/(185\/370)*(-8)\/(-208)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-8)*-18 + (-2)\/(-8). What is the biggest value in -6\/11, o, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43504 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1104 and 6739.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/15 - 9214*i**2\/15 - 11053616*i\/15 - 335314056\/5.\nAnswer: -2*(i + 99)*(i + 2254)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -30. Let v = s - 10. Solve q = v*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 300 or -9?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/15)\/((d**0\/d*d)\/d))**(-24) assuming d is positive.\nAnswer: d**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a minute in seconds?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 11:04 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 7) + 3 + (-7 - -9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213\/376 - 444519\/4136. Let j = -107 - o. Let t = 157 - 156.7. Which is the closest to -2\/3? (a) t (b) j (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1518 and 2.3.\nAnswer: 1520.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 17778 + 0*y - 17810 + 9*y**2.\nAnswer: 9*y**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 5*c**2 - 4*c - 6. Let z be (-32)\/(-14) - 8\/28. Suppose -4 = z*h - h. Give n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2721, -2718, -2713, -2706, -2697, -2686, -2673?\n\"Answer: l**2 - 2722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 50 - 6 = 0. Let d(o) = 4 - 8 + 3 - o. Calculate d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307059863 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 32992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/25)\/((-14)\/10*(-24)\/252).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422633513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 70 and 70 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156249 and 9645?\nAnswer: 781245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2779 - -2779.1. What is the closest to 2 in 2, c, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10538 - 10384. What is the smallest common multiple of i and 2968?\nAnswer: 32648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*k + 3382 = 115*k + 118*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1653 + 1656. Let j(m) be the first derivative of -6 + 1\/4*m**4 + 0*m**3 - h*m**2 + 0*m. What is the second derivative of j(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -113122133233?\nAnswer: -113122133232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -171*s - 1709. Let l be x(-10). What is the highest common factor of l and 271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1202011210000 (base 3) to base 16\nAnswer: e2b48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(1 + 1) + -7036)*(172 + -174)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**5\/120 + r**4\/12 - r**3\/3 - 1. Let o(i) be the third derivative of y(i). What is the derivative of o(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-12)*7\/(-105)*9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 94.7 and -62?\nAnswer: 156.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -675\nAnswer: -20.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625486 is divided by 2289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z - 40 = -2*o, 0 = 3*z + 4*o - 65. Let s be (-2 - 1)\/(z\/(-15)). Let g(m) = 3*m**3 - 3*m**2 - m - 2. Is 7 a factor of g(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 + 3*a**2 - 5*a**2 - 9*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q - 7. Let b be h(-1). List the prime factors of 680\/b*(3 - (-63)\/(-12)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 3*v + 3*v)*(5*v + 0*v - 3*v) to the form d*v**2 + w + i*v and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {k: 2, n: 7, z: 2, e: 1, a: 2, h: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + t + 71, 2*c + 0*c - 2*t - 22 = 0. Suppose c = -5*m + a - 2*a, -2*m + a = -1. Let b = 2.102 + -0.102. Sort b, m, 1\/11.\nAnswer: m, 1\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16805*z**3 - 43540*z wrt z?\nAnswer: -100830*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -g - 22, -i + 3*g - 30 = 3*i. Let x be 0*((-6)\/(-3))\/i. Suppose 4*m + x*m - 16 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 11:52 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(275) + -1)*-6 + -5*(sqrt(275)*-2)**2 - (4 + sqrt(275) + -4*(-1*sqrt(275) - sqrt(275)) + sqrt(275) + sqrt(275))) + 1)*3.\nAnswer: -16486 - 255*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -341\/4. What is the nearest to -2\/5 in 0, x, -1.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/21 - 88\/(-6). Solve -2*q = -7*q + i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40567 - 1278*j**3 - 794*j**3 + 40565.\nAnswer: -2072*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27503 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30985 - -5?\nAnswer: -30980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, 10, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiittiizizziiizzyz. What is prob of sequence it?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1303 - 1304.027. Let t = h - -0.027. Let f = -1.8 + 2. Which is the nearest to f? (a) 0.4 (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22440085*i**5 + 491455*i**2 + 2*i - 1 wrt i.\nAnswer: -1346405100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45012.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 8*a - 4. Let f be l(-6). Let p be (-2)\/(-8) - (-126)\/(-56). Sort f, p, 0 in decreasing order.\nAnswer: f, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164943*b + 164921*b - 329864*b + 8*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.2, -5, -2, -2483, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 37. Let l(m) = -m**2. What is l(c(i))?\nAnswer: -4*i**2 - 148*i - 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -683, 1, -5, 197, -4, -21, 0 in ascending order.\nAnswer: -683, -21, -5, -4, 0, 1, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 + 5 = 4*u, h = 2*u - 10. Solve 5*x + 4*n - 1 = 13, u*n - 4 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:34 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701325699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96*(((-2)\/28)\/(84\/(-112)))\/((-4)\/28)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2\/5 - 21396*k - 18254880 = 0.\nAnswer: -840, 54330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*i - i + 224, 2*i - 228 = -5*a. What is the smallest common multiple of a and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3034, -6068, -9102?\n\"Answer: -3034*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 + 3 = 0. Calculate the remainder when 21 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46695 + -8498557\/182. Calculate the common denominator of 137\/6 and i.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045455 rounded to 5 decimal places?\nAnswer: 0.00455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 441157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*y + 514354, -3*y = z - 319609 - 194731. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*s - 5*s + 163*s - 62*s - 39*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) -5\/4 (c) -2\/13 (d) -3\/8 (e) -0.14 (f) -328 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c**2. Let y(s) be the third derivative of 0*s**4 - 1\/60*s**5 + 0*s + 0*s**3 + 0 - 9*s**2. Determine y(a(z)).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3714?\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*v + 28 = 0, -4*v - 40 = 4*k + v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27296.51 weeks?\nAnswer: 16508929248000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2759 - 22073\/8. Put 21, -2\/43, d, -1\/12 in descending order.\nAnswer: 21, -2\/43, -1\/12, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452362108.\nAnswer: 2, 11, 19, 191, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22, -10, 5, -1.\nAnswer: -10, -3, -1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639 (base 11) to base 15.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 58. Solve 2*m - 8 = 2*y, -t*y - 15 = 3*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7864*c**3 - 7874*c**3 + 15746*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 32*d**3. Let f(u) = -10*u**2 + 631*u - 52. Let i be f(63). Let w(s) = 96*s**3. What is i*g(t) - 4*w(t)?\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 590983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4968 + -139151\/28. Find the common denominator of 17\/84 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 at most as big as 3336.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*p**3\/3 - 10*p**2 - 16*p + 8\/3.\nAnswer: 2*(p - 2)*(p + 1)*(13*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.49 - -0.49. Which is the third biggest value? (a) -3 (b) l (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 8, r: 11}. What is prob of sequence rrg?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -3*m - 12. Let g = m - 23. Which is bigger: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -26*z - 17. What is j(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 644*s + 6040.\nAnswer: 4*(s - 151)*(s - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*l + 1782 = -240*l. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -177*a. Let x(o) = 2*o. What is x(n(l))?\nAnswer: -354*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5\/2 + 7*q**4\/4 + q**3\/4 - 7*q**2\/4 - 3*q\/4 = 0.\nAnswer: -3, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163404, -163593, -163782, -163971?\nAnswer: -164160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**3 + 567*x**2 - 75*x - 281. Determine y(-71).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(4\/2))\/(20*66\/(-330)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 4 + 4 + 37*k - 18 as m + t*k and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1132066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 88742.3 to the nearest 100.\nAnswer: 88700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-6 - -5)*105) + 4. Let a = 262 - n. What are the prime factors of a?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 28 + 8 + 386*n - 770*n + 389*n.\nAnswer: 5*n - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q - 46*q = 0, 20*x - 3*q + 70 - 7 + 50 = -6*q + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, s: 1, k: 5}. What is prob of picking 3 w and 1 s?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:33 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + 51 + -56?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, -0.5, 436, 2, 9.\nAnswer: -3, -0.5, -0.1, 2, 9, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 34*g + 3. Let s be x(8). Let q be (32\/(-140))\/(2\/s). Let v = q + 32. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.54000686 + 0.54. What is x rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*f**2 + 624*f**2 + 620*f**2 + 623*f**2 - 18 + 624*f**2 - 3807*f**2 + 686*f**2.\nAnswer: -7*f**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322115*h**4 - 1116*h + 37 wrt h?\nAnswer: -3865380*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 26*h - 272 = 0. Let r = -132 - h. Solve 0 = -r*q - 2*q + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**3 - w**2 - w + 1. Let i be m(1). Let f(v) be the second derivative of v**4\/12 + 3*v**3\/2 + 5*v**2 + 129*v. Calculate f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22120004 (base 6) in base 3?\nAnswer: -1020201020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-230)\/650 + (-10)\/52*24\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:23 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 10056282?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -216\nAnswer: -5\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - 5*j + 6140. Let m be p(0). What is m rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/378 and -149\/3870?\nAnswer: 81270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e80e (base 15) to base 12.\nAnswer: -1016b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5357, 5286, 5201, 5096, 4965?\n\"Answer: -q**3 - q**2 - 61*q + 5420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 176*t**2. Let p(h) = -4*h. Determine p(f(u)).\nAnswer: -704*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7598*c**3 - 2*c**5 - 7587*c**3 - 3*c + 4*c**5 - 36*c wrt c.\nAnswer: 40*c**3 + 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 36*g + 25 = 5*n, -4*g + 2*n - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 1. Suppose -2*s - w = -3, 0 = 5*s - 0*s - 5*w + t. Solve b - 3*b - 6 = s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -967? (a) 30 (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -14, 0.0621, -5\/3, 3\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196 = -70072*f + 70118*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - 0.1. Let j = 3.0000218 - g. What is j rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 5*z + 13 = 18, 0 = 2*z + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 551.9069 + 0.0931. Let a = 552.1588 - f. Let w = 0.17 - a. What is w rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = -b + 15, 0 = 5*b + x - 30. Let w(j) = 6*j. Let t(d) = -2*d. Let m(a) = -10*t(a) - 3*w(a). Let r be m(0). Solve -4*u + b - 17 = r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1053 + -1052.5. Which is the nearest to 2\/3? (a) z (b) 4 (c) 496\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1260102 (base 7) to base 12\nAnswer: -7baa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36695240 and 264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10745 (base 9) to base 11\nAnswer: 5428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -86*n - 1109. Suppose 5*p - 5*i + 14 - 34 = 0, 2*p - 8 = 5*i. Suppose p*r - 15 = r. Calculate the lowest common multiple of v(-13) and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**3 + 2*x**2 - 2*x + 2. Let m(k) = 7*k**3 + 3*k**2 - 2*k + 3. Let p(n) = 6*d(n) - 5*m(n). Let c = 6 + 0. Let t = -2 + c. Calculate p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -349 + 10*w**2 - 9*w + 176 + 167 + 6*w**2 wrt w?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 10 - 2 + 32 - 16.\nAnswer: 5*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - r)*(r**2 + 0*r**2 + r**2) + (-2 + 2 + r**2)*(8*r - 3*r + 5*r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2145 + 1387 = 100*d - 1568. What is the highest common divisor of d and 1479?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 888315620 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*y = 170*y - 14 - 66. Let s(l) = -2*l + 2. Calculate the smallest common multiple of s(-3) and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72807320 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 h = -854 + 855. Let p(x) = -6*x. Determine p(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/9 - 4*r**3\/9 + 76*r**2\/9 - 224*r\/9 + 64\/3.\nAnswer: -(r - 4)*(r - 2)**2*(r + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6266 (base 7) to base 4\nAnswer: -202130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 65*r**3 + 2*r - 3*r - 66*r**3 + 2*r**2. Let z be c(1). Solve 0 = -z*k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.416, 3, -2 in ascending order.\nAnswer: -2, 0.416, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*158\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 5:57 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213481 is divided by 43?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y*y**(-3))\/y))\/y*y*y**(-2\/9)*(y**4\/y)\/y**(-4)*(((y**0*y)\/y)**(-3\/7))**(-5\/8) assuming y is positive.\nAnswer: y**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 5*r - 5, 10*i - 4*r + 1 = 9*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 9 + 11 - 6 = -2*u, 26277*u - 26281*u = 40 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/(-70)*(-6 + 1). Solve 1 = 5*o - t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 76*w + 8229 = 161*w - 28*w for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549, 1773, 3667, 6231, 9465?\nAnswer: 13369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*u + y, -23*y = u - 21*y + 7. Is 1\/2130 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36877.7 weeks to nanoseconds.\nAnswer: 22303632960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 15*p**2 + 7*p + 19. What is g(-11)?\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602467056 to the power of 1\/4, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + (5*(sqrt(891)*-2 - sqrt(891)) - (-5 + sqrt(891)*1 - sqrt(891)))**2)*-6.\nAnswer: -1202958 + 8100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 5, -0.0151?\nAnswer: -0.0151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o**2 - 2*o)*(16*o**3 - 109*o**3 - o**3).\nAnswer: -94*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 927 and 5150.\nAnswer: 46350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -4\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9439745971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p - 29 + 93. Suppose -5*y = 4*j + j - 1230, -2*j = p. Calculate the remainder when y is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2354, -4601, -6834, -9047, -11234, -13389, -15506?\n\"Answer: b**3 + b**2 - 2257*b - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51.94855 - -52.20854976. Let j = y + -0.26. What is j 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 nearest to -0.3 in 1\/5, 1\/17, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((88\/363)\/(-8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -292*k - 383396 + 372300 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.1617461.\nAnswer: 0.04852383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 141.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3*z - 6. Let c = -1 + 3. Factor -c*f + 0*f + 0*f**2 - 2 + 2*f**3 + 2*f**z.\nAnswer: 2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 2427*s + 2 + 2440*s + 5*s**2. Let u(v) = 2*v**2 + 9*v + 1. Give 5*b(q) - 7*u(q).\nAnswer: q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-286596)\/(-912) - 315)*(-176)\/30?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**2 - 12*p - 6. Let s(u) = -2*u**2 - 4*u - 2. Give -6*h(a) + 17*s(a).\nAnswer: 2*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.2 * 0.4.\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23772270 or 23772264?\nAnswer: 23772270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -4.8. Let s = o - 3.92. Let v = -0.08 + s. Which is the third biggest value? (a) v (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 - 4*k + 1. Let d be (-2)\/(-7) + 30\/(-7). Let q be b(d). Let n = q + 1. What is the highest common divisor of n and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let p(n) = -12 + 19 + 6*n - 6 - 5. Give s(p(z)).\nAnswer: 6*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.71886 months to centuries.\nAnswer: 0.08309905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 = -2*i. Let q = i + 5. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7037 - 7041. Which is the fourth biggest value? (a) v (b) 2\/17 (c) 48\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1149296462 + -2.\nAnswer: 1149296460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178993372 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -16. Suppose 0 = k + 3*n + 28, 0*k - k = n + 18. Let w = g - k. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2593824 and 2488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-41262)\/92*(-4)\/3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + -2895568?\nAnswer: -2895589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -26 + 98*v**2 - 99*v**2 + 30. What is c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(2916) - sqrt(2916) - sqrt(2916)) - (sqrt(2916) + 2*sqrt(2916))*5)\/(sqrt(12) + sqrt(84)\/(sqrt(28)\/sqrt(4)) + -3*sqrt(1452)).\nAnswer: 117*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -20*b + 2. Let c(f) = -f - 2 + 0 + 2 + 0. Calculate n(c(p)).\nAnswer: 20*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itbiee. What is prob of sequence ieb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 212020212111?\nAnswer: -212020212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10\/23 - 149\/184. Let z = -7558 - -7559. Which is the nearest to z? (a) 5\/2 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.07 - 0.07. Let y = -15.9 - 4.1. Let r = y + 20. Which is the biggest value? (a) g (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.08 - 9.07997478. What is o rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -7*q - 990. Let l = q + -107. Suppose -l*d = 2*d - 0*d. Solve d = y - 5*t - 0 - 15, y = -4*t - 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 9 = 4*p - r, -4*r - 31 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646*b = 8*b + 61*b + 14425. Let f(j) = -17*j**3 - 2*j**2 + j - 1. Let r be f(-2). What is the highest common divisor of r and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z + 1. Let c(j) = -j**2 + 14*j + 16. Let t be c(15). What is s(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 167.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 2*v**4)*(-3*v - 3 + 3 - v + 0*v - v - 3*v + 4*v + v - v - 2*v + 4*v + (1 - 3 + 0)*(-2*v + 0 + 0) + 2*v - v + 0*v - 4*v - v + 3*v)*(-1 - 2 + 0).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 4*x**2 - 2*x - 2. Suppose -2*y = -1 - 3. Let z be q(y). Solve -m = 2*j - z, -2*j + 10 = -2*m + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21996 - -22000. What is the third biggest value in u, 3, 7782?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((2 + sqrt(98) + sqrt(98))*-1 - 5*((sqrt(98) - 3*sqrt(98)) + sqrt(98))) + -5)**2.\nAnswer: -294*sqrt(2) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + j + 21 = 3*j, s = -3*j + 12. Suppose 0 = s*d - 4*d + 6. Suppose -2*n + 4*g + 4 = 0, -2*n - 2 + 1 = g. Sort d, n, 5 in descending order.\nAnswer: d, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311057 is divided by 130.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16583, -16585, -16587, -16589, -16591, -16593?\n\"Answer: -2*l - 16581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**9\/126 + 8*u**5\/15 - 24*u**2. What is the third derivative of v(i) wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 2*r**3 - 2*r**3)*(5 - 2 - 1) + (-18 + 18 - 22*r)*(8*r - r**2 - 8*r).\nAnswer: 26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3524.046 - 3532.0460016. Let h = 8 + k. Round h to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 286 - 136. Suppose -x = -7*a + 2*a. Let w(y) = -y**3 + 48*y**2 + 48*y + 57. What is the lowest common multiple of a and w(49)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 17*z + 2. Let s(g) = -5*g + 83. Let t be s(17). Let y(k) = 8*k - 1. Give t*a(h) - 5*y(h).\nAnswer: -2*h**2 - 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2898.\nAnswer: 23184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*g - 2 = 0, 4 = -0*b + 2*b - 2*g. Suppose -5*q = -b*a - a - 20300, -2*a - 4053 = -q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, 2\/17, -3\/8, -1\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 9, j: 3}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 + (-17)\/(-3))*339.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -12 + 76 - ((-3 - -11) + -1 + -4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 41*z**2 + 93*z - 99. List the prime factors of b(41).\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (55\/(-44))\/((-1)\/40). Let m be ((-20)\/g)\/(-1 + 0). Factor -2\/5*y**2 + m*y**3 - 2\/5*y + 0 + 2\/5*y**4.\nAnswer: 2*y*(y - 1)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)*(-10)\/9*((-7119)\/126 - -57)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + (0 + 2*sqrt(1900) - (sqrt(1900)*2 + -1) - -6*(2 + -1 + sqrt(1900))))**2 + -4).\nAnswer: -273648 - 1920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 19*i**2 - 19*i + 26. What is a(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 0*v + 2 + 3*v + 2*v**3 - 5*v**3 - 5 + 3*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*o - 17 + 30, 0 = -3*u + 21. Suppose 3*g + 0*g**2 - 3\/4*g**o + 0 - 9\/4*g**3 = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -302 or -355?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408946009 is divided by 6185.\nAnswer: 6179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-3) + (-2)\/2. Suppose 4*z = n*h - 32, -h + 4*z = 3*z - 12. Let t(k) = -k**2 + 8*k + 6. What are the prime factors of t(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 0*s**2 - 3*s**2)*(13*s + 21*s - 37*s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/30 + 12*i**2 + 16*i. Let s(d) be the first derivative of w(d). Let g(m) = 2*m. Calculate s(g(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/12)*h**7\/h)\/((h*h\/(h*(h*h**(-3)*h)\/h))\/(h\/(h*h\/(h\/h**(2\/33))*h))))**(-4) assuming h is positive.\nAnswer: h**(-89\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwbbvbvwvbvbbbwbvbb.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309076 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, c: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let x(d) = 13*d**2 - d + 10*d**2 + d. Determine u(x(j)).\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:36 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3019, -2\/5, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b + 5*p - 0, 50 = -4*b + 2*p. Let h be b\/(-28)*96\/60. Solve 0 - 2\/7*k**2 - h*k = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z - 35. Let a = 11 + z. Solve -i + 15 = a*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10 + 256\/(-28) - ((-1041)\/486 - -3) and 79\/630?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051738088 rounded to 6 decimal places?\nAnswer: -0.000517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - 9*w + 4. Let c(h) = -28*h**2 - 9. Determine v(c(p)).\nAnswer: -2352*p**4 - 1260*p**2 - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6402 and 190064710.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 261?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*m - 9705 = -4871 - 5508 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-21) - (-2)\/7. Let s be -3*(g - (-22)\/(-1)). Calculate the common denominator of -12\/11 and (s\/8)\/((-18)\/12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37275\/(-994)*10\/60.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-2)\/4*2. Suppose 6 = -4*o - 10. Put -3, l, o in increasing order.\nAnswer: o, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**4\/2 + k**2\/2 - 11*k. What is v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-30)*12834\/70587?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/6 + 29863*s\/6 + 20909\/3.\nAnswer: -(s - 5974)*(5*s + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(((-9)\/24)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 214869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 2*w + 4*w - 5*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-10)*(m\/((m\/(m\/(((m\/(m*m*m**(-1)))\/m)\/m)))\/m)*m*m)\/m*m\/m**(-1\/2) assuming m is positive.\nAnswer: m**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 326616271 or 326616270?\nAnswer: 326616271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 6*t - 4. Let g be n(7). What is the lowest common multiple of 10 and (g\/(-2))\/(18\/(-48))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*l**2*v**2 + 251*l**2*v + 3*l**2 + l*v**2 - 15681*v**2 + 318 wrt v?\nAnswer: -20*l**2 + 2*l - 31362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 5:20 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000023853368 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/35*((-35)\/(-10))\/(-1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53058051 rounded to 2 dps?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 3*k - 2. Let h be s(3). Let t be (-145)\/h*(-12)\/5. Let z = -47 - t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 - 1112335*m**3*t**3 + 11*m*t**3 - 2*m*t**2 + m - 473*t**3 - 15*t wrt m?\nAnswer: 24*m**2 - 6674010*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60978541 is divided by 96?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (33\/(-99))\/(2\/6). Let b = -3391\/11 + 308. Suppose 2*d - 4 = 6. Put -4, d, n, b in descending order.\nAnswer: d, b, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -240, -1031, -2372, -4263?\n\"Answer: -275*r**2 + 34*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11334447 and -848.\nAnswer: 11333599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149\/4 - 21. Let o = 6210797\/5102825 - -2\/145795. Let q = -12\/175 - o. Calculate the common denominator of q and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4365 - 578 = 7*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.969 - 0.031. Let f = -21 - k. Let r be 2\/(-10) - (-4)\/10. Which is the second biggest value? (a) f (b) -1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 3, -5, 0.2, -2\/7, 315?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/5 - 16*q**2\/5 - 7*q + 52\/5 = 0. What is q?\nAnswer: -13, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -11\/168255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (87826\/(-307391))\/((-61)\/(-28) + -2)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 27. Give s(-11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**2 + 3. Let k be (24\/63)\/(-4) - (-2318)\/(-798). Let b(g) = -1. Give k*b(z) - a(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + -2 - 72 - (103 - (269 - 177))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0. Let b = 52153 + -52149. What is the nearest to a in 5, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 368 + -365. Let m(v) = -c*v - 4*v + 0*v + 2*v. Let x(u) = u**2. Give m(x(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - 1*sqrt(343) - sqrt(343) - sqrt(343)) + -2)**2.\nAnswer: 56*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 27*f**2 - 13*f + 8. Let s be o(-14). Let j be (-126)\/(-8) - s\/24. Suppose 8*l + j = 10*l. Solve 3*c - l*c = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6 - 17 + 9*q + 18 - 6*q - 4*q. Let s(l) = -l + 1. What is -f(i) - 2*s(i)?\nAnswer: 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1413 divided by 13.\nAnswer: -1413\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 74*m**3 - 9362*m**2 - 9*m + 9. Let k(p) = -258*p**3 + 32768*p**2 + 32*p - 32. Let a(x) = 32*c(x) + 9*k(x). Find the third derivative of a(j) wrt j.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3704 is divided by 139?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023196 rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 163664*i + 1674119056 = 0. What is i?\nAnswer: 20458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139869 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - 18*a + 6*a)*(-4 + 0 + 1)*(-137*a**2 - 111*a**2 + 265*a**2) to the form k*a + z*a**2 + t*a**3 + g and give t.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*y = -15, -5*w + 11 - 1 = 2*y. Let c(n) = -11*n - 2. Let o(u) = 5*u + 1. Let i(a) = 3*c(a) + 7*o(a). Let z be i(1). Solve w = -3*v - z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/1 - (5 + -1). Let y(w) = w**3 + 10*w**2 - 12*w + 13. What is the tens digit of y(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45799978 divided by -3.\nAnswer: -45799978\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 8. Let v be p(-4). Let q be ((-12)\/10)\/(6\/196). Let m = q - v. What is the third smallest value in m, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17099, -17106, -17113, -17120, -17127, -17134?\nAnswer: -17141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.87*-7\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**5 + 495*p**4 - 18630*p**3 + 328050*p**2 - 2657205*p + 7971615.\nAnswer: -5*(p - 27)**3*(p - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 7 (c) 0.2 (d) 0.3 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1088*j + 469*j + 547*j)*(j - j**2 - j**2 - 2*j) in the form s + m*j**2 + a*j**3 + f*j and give a.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 52. Let f be 12*(-3)\/((-18)\/4). Let i = w + f. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135450 - -2\nAnswer: -135448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 89219738999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 21311, -0.2, 0 in descending order.\nAnswer: 21311, 0, -0.2, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 85\/2 (c) 6 (d) 5.7 (e) -1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**(-9))**35*(((y**(-2\/5)\/y)\/y)**(1\/14))**(-8\/11) assuming y is positive.\nAnswer: y**(121467\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 14*h = -2*u - 9, -3*u - 12 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 261, -245, -743, -1233, -1715, -2189?\n\"Answer: 4*z**2 - 518*z + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24734430 divided by -23898?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.86 - -0.18. Let n = 0.680039 + z. Round n to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_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: Expand (1 + 0 + 0)*(3*a - 2*a - 3*a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6339?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - -3. Let r be y\/(-4)*(-4)\/6. Solve f - 3*l + 9 = 0, -f - r*f - 4*l + 12 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by 6\nAnswer: -145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 21 = 1, -5*p + 5*m + 140 = 0. What is the least common multiple of p and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = 178*d - 158*d + 52 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/150*10\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235 - -463\/2. Which is the closest to 1\/2? (a) -0.1 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 0*d + 15. Suppose 12 = d*h + h. Suppose -l - 1 = o - 7, -5*l = -h*o - 6. Solve q - o = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giiiiigiiii. What is prob of sequence ig?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 201\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11600*o + 13905*o + 3307715 = -902*o + 362*o for o.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -681226 - -8?\nAnswer: -68121a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2016*j + 1518 = -2062*j for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -38625*c - 270371. What is l(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n - 0*y - 2*y, -5*n - 3*y - 5 = 0. Let r(c) = -2*c**3 - c**2 + c. Let w be r(1). Let s be (w + 2)*1*(-14)\/42. Sort n, s, 3 in descending order.\nAnswer: 3, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 57.65 in ascending order.\nAnswer: -4, 0, 57.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*3\/(45\/6). Suppose 0 = -3*p - 2 + 14. Solve -s*k - p*a - 5 = a, a = 3*k - 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y**3 - y**2 - y. What is l(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a - 46 = -27*a + 3*l, 208*l = a + 212*l + 57 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002026 rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*i**2 - 12*i + 16*i - 6*i + (0*i - 7*i - 7*i)*(-6 + 6 - 3*i).\nAnswer: 53*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/21)\/(72\/(-4752))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22 - 0.17. Let w = h - 0.05. Put -10, w, -4 in increasing order.\nAnswer: -10, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*b + b = -107, -g + 29 = 3*b. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32152 - -4?\nAnswer: -32145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -q + 7*u, u = q - 4*u + 4*u - 25 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 2*m**2 + 5*m - 1. Is o(4) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 139*x + 137*x + 2 = 0, -12 = -r - 4*x for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 = -9. Suppose -v*x + 128 = 23. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 4*b**2 - 5*b - 2. Let s be u(-3). Let k = -14 - s. Let o = k + 26. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -58. Let i = d - 55. Calculate the common denominator of (3\/198 - i)\/(8\/228) and -93\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 976.802 - 1587.83. Let s = g + 610. What is s rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -36445\/1138?\nAnswer: -36445\/1138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174155 and 7015?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - 1683*z - 21535. What is f(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*g + 288 = 121*g. Calculate the smallest common multiple of 90 and g.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.03 + 2.03. Let i = -0.1 + -0.4. Put s, i, 4 in decreasing order.\nAnswer: 4, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113617 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: Simplify (((sqrt(143) - sqrt(143)*-1*-5) + 2*(sqrt(143)*-2 - sqrt(143)))\/((sqrt(66) - -4*sqrt(66)*2 - sqrt(66))\/sqrt(6)) + -1)*-5.\nAnswer: 5 + 25*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 18*s**2 + 150*s + 12. Calculate m(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 13. Let p be (-3 - f\/(-1))\/1. Suppose -3*i - 2*s - s = -12, -3*s = 9. Is p at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3098326, 6196636, 9294946, 12393256?\nAnswer: 15491566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 17*l = -13*l + 8, -4*d - 4*l = 8. Let g(m) be the second derivative of 0*m**2 - 2*m + d - 1\/2*m**3. Let i(k) = -4*k**2. What is g(i(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -1024361?\nAnswer: -1024401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 119*m**3. Let a(w) = -24*w**3. Give -11*a(f) - 2*y(f).\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 15*z + 26. Let t be m(-14). Which is the fourth smallest value? (a) -1 (b) t (c) 3 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68.77016851 - -160.33.\nAnswer: 91.55983149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + i - 7, 0*s + 9 = -3*s - 5*i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*-2*-2 + sqrt(66) + sqrt(66))*3*-4)\/((1*sqrt(54)*4)\/((sqrt(180)\/sqrt(4))\/sqrt(5))) + 3.\nAnswer: -21*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.2, 1, -2\/3, 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-85)\/(-170)*(-8)\/(-1). Put 1\/2, -10, w in descending order.\nAnswer: w, 1\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 48*r - 62*r - 166*r - 305*r.\nAnswer: -491*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3109, 6218, 9329, 12442?\nAnswer: 15557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1528678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, 2, -4 in ascending order.\nAnswer: -4, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 164 + -86 + -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2544 - 0.0456. Let t = 9.8 - 10.1. Which is the closest to t? (a) 4 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186 + 188. Solve 3*u - 3*o - 3 = 7*u, -u + i*o - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*((-3 + 8 + 8)*(8*s - 2*s - 2*s) - 6*s + s + s).\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 5*h - 1. Suppose -4*j + 30 = -10*j. Determine w(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29753799?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2550\/(-163200))\/(2\/8).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -662386844 divided by 5566276.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0 + 6 - 10 - 2*d - 15 - 5*d. Let v be z(-3). Factor 1\/5*l**v - 1\/5 + 0*l.\nAnswer: (l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 + -225. Let s = -330.14 - d. Which is the closest to s? (a) 3\/5 (b) -2\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -765*c**3 + 2296*c**2 - 5*c + 5. Calculate w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 64*t - 61*t - 3*v, 2*t - 3*v = -65 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 7797 in descending order.\nAnswer: 7797, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 22. Let q be (b\/4)\/((-3)\/12). Factor s**2 + s**2 + 9 + 35*s - 23*s + q.\nAnswer: 2*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10\/d)**(5\/3)*d**(-22)\/d**(-8) assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y + 2 - 2)*(1 - 3 + 1) + y + 0*y + 4*y)*((-3 - 2 + 0)*(-36 - 55 + 16) + (1 + 1 - 1)*(0 - 4 + 2)).\nAnswer: 1119*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:58 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwv when three letters picked without replacement from {i: 2, h: 1, v: 10, w: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*o**2 - 58*o**2 + 2*o + 0*o as d*o**2 + l + w*o and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -1 + 3. What is the units digit of (n\/3)\/((-4)\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 321 - 276)*(2 - 2*c - 2)*(0*c**4 - 4*c**4 + 2*c**4).\nAnswer: -2288*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 44612*p - 312196. Calculate z(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 354\/5. Let h = -278\/5 - -844\/15. What is the fourth smallest value in -2\/11, 0.4, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -32.9949014 and -0.4.\nAnswer: -33.3949014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 2\/45, -16, -22, -0.2?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-12))\/(2\/408). Let s = f - -139. Solve l - s*l + 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.5182 + -0.0018. What is r rounded to 1 dp?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 14 = -4*n + 2*p, 2*n - 1 = 3*p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5264 - -302013?\nAnswer: 307277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 642\/(-27) - 2*(-2)\/(-18). Put -2\/11, -5, s in decreasing order.\nAnswer: -2\/11, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -904 - -908. Let j(s) be the second derivative of -s**2 + 0*s**h - 1\/20*s**5 + 3*s + 0 + 1\/2*s**3. Factor j(x).\nAnswer: -(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3685320694.\nAnswer: 2, 11, 37, 4527421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/74 - (-912)\/(-444)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 282*w - 134*w + 10*w**3 - w**2 - 140*w - 27*w**3 to the form s*w + b*w**3 + y + x*w**2 and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 62*m + 54 - 5 - 41. Let t(v) = -41*v - 5. Calculate 5*h(g) + 8*t(g).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89028060 and 990?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 2*h. Let l(u) = -101*u**2 - 7*u. Give l(c) - 4*q(c).\nAnswer: -105*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxcxvccvcgvxxv. What is prob of picking 2 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.71 - 52. Let b = -0.29 - q. What is the closest to -0.2 in 5, 4\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7564039 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3641 + -6586. Calculate the remainder when 30 is divided by (2\/(-10))\/(31\/n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*g - 2, 0*g - g = -3*f - 2. Let z be (f - -1) + (1 - -1). Find the second derivative of -2*c - 3*c**2 - c**z + 3*c**2 wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928100 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(5*b - 5*b - 2*b + (4 - 1 - 4)*(-4*b + 3*b + 3*b) + 2*b - 4 + 4 + 0 + 0 + b)*(-4 + 2 - 1).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyscs. What is prob of picking 2 s and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -113*g - 5. Let d(s) = 2*s + 1. Let h(v) = b(v) + 5*d(v). Let z(o) = -18 - 17 - 2*o**2 + 35. Give z(h(x)).\nAnswer: -21218*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*t - 2, -3*t + 3 = 2*t - 3*k. Is (t + 4 + -2)\/((-4)\/(-662)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(50 - 54))\/(-46).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/200 and -11\/8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 35 - 4 + 14 + 3*i - 7. Let s be b(-11). Suppose -s*u + 30 = -240. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4994.9670008 - -242.\nAnswer: 5236.9670008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 5. Let d be w(-6). Let b = -5 + 5.3. Sort -1, b, d in increasing order.\nAnswer: -1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1954 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 110\/(-1430) - 66\/(-13). Solve -o*z = -3*v - 11, -17*v + 3*z + 1 = -19*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 6*m - 9. Let d(x) = -x**2 - 7*x - 8. Let t(q) = -6*d(q) + 5*w(q). Let k(i) = 338*i + 1003. Let o be k(-3). Calculate t(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -230 + 231.2. Let s = 181\/8 - 23. Put 0.2, -1\/5, s, w in descending order.\nAnswer: w, 0.2, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 3*x**2 + 14*x - 14. Let i be d(4). Differentiate -98*q**2 + 10 - 74 + 12 - i with respect to q.\nAnswer: -196*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 7893 + 2468 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/120 and -81\/110?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 88 - 5?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3983426 + 4?\nAnswer: 398342a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11001, -22161, -33337, -44535, -55761?\n\"Answer: -t**3 - 2*t**2 - 11147*t + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87885?\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 10. Let c(n) = n + 6. Let a be c(-5). What is the second biggest value in a, b, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -1296110 in increasing order.\nAnswer: -1296110, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*k**4 + 114*k**3 - 94*k**2 wrt k?\nAnswer: 648*k + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-38 + 4988\/129).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 32 = -m. Suppose -42*y + 14 = 2*x - 41*y, 0 = -4*x + 3*y + 48. Solve 2 = x*c - m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 201*w + 1636. Calculate u(-17).\nAnswer: -1781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50033428*w**4 + 68749*w - 308 wrt w.\nAnswer: -600401136*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/650 and 99\/260.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1122867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272 + 312)*(2\/(-8) + 5 + (-165)\/40)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6842.\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = 0, 3*n = 6*n + f - 4. Let a(k) = -k + 6 - n + 2*k. Let z be a(-3). Calculate the greatest common divisor of 16 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(5) - 1*(sqrt(5) + sqrt(10)\/sqrt(2) + sqrt(5))) - (sqrt(5)*-1 + -5 + sqrt(5) + sqrt(15)\/(1*sqrt(3))))*4.\nAnswer: -6*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 0, 0*n - 133 = -5*v + 2*n. Let z be v\/6*(-8)\/(-6). Let d be 8\/5 + 2\/5. Solve 2*x - 22 = -4*f, -4*x + 4*f + z + d = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -411 (b) -1\/5 (c) 111 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 5*c + 4*c + 5*c + 2*c + 4*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1011000011101011111 (base 2) to base 5\nAnswer: 43043320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 3624*t - 2519445. Determine u(938).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-68)*24\/(-14)*(-168)\/18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:09 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f - 71*f + 720 = -99*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 15*x - 42. Let r be y(4). Sort r, -0.3, 0.4 in descending order.\nAnswer: r, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 158*f - 2819. Determine w(-28).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 610269 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.2 (c) -297 (d) -2.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r)**39\/((r*r\/(r*r**(-1\/8)))\/r*r*r*r*r\/(r**(2\/5)\/r)*r*r*r) assuming r is positive.\nAnswer: r**(-11229\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 45. Let n be ((-3)\/g)\/(18\/72). Which is greater: 17\/4 or n?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 33*q**3 - q**2 + 2*q - 29. Let u be t(5). Is 22\/33 + u\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196371 (base 11) in base 16?\nAnswer: 498bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -1. Suppose 4*j = -j + 50. Calculate the lowest common multiple of v and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:01 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 + 781\/7. What is the common denominator of (-18 - -17) + 42\/439 + 1 and u?\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -561*o - 882 - 366 + 29*o**2 + o**3 - 21*o**2 - 347*o - 333*o = 0. Calculate o.\nAnswer: -39, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 374 and 8?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 2. Let p be o(5). Let u = 3 + p. Let q = -4019 + 4023. Sort q, -3, u, -1 in increasing order.\nAnswer: u, -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70724600 divided by 1768115\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f + 1857 = 2205 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. What is s in 2*s**2 - 4*s**4 + 2*s**2 + 0*s**5 + 4*s**5 + s**3 - 5*s**b = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21627006 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408.1072 years to centuries.\nAnswer: 4.081072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348 + 348 + 5*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 306969*u - 6753076.\nAnswer: -(u - 613916)*(u - 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279474877 to the power of 1\/3, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let g be (4\/5)\/(-3 + (-68)\/(-20)). Let c(z) = 8*z**g - 5*z**2 - 2*z**2. What is j(c(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/775 + (-1362)\/(-31). Suppose n*s - 307149 - 2611 = 0. What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 12*k**2 + 5*k + 42. Determine n(16).\nAnswer: -902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64821.\nAnswer: 3, 17, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49829*f**2 - 3372*f**2 + 9512*f**2.\nAnswer: -43689*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 r, and 2 m when four letters picked without replacement from mrmffmyyym?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3, -10, 21, 45 in ascending order.\nAnswer: -10, -3, 0, 3, 21, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 349952 divided by -2?\nAnswer: -174976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 191 - 73. Calculate the greatest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -29. Suppose 4*t + 27 = 67. Let q(a) = a**2 - 10*a + 31. What is the remainder when q(t) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/12)\/y*y*y*y**(-3))**(2\/37))**(-19))**(-6\/11) assuming y is positive.\nAnswer: y**(-475\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.8256629 rounded to 1 dp?\nAnswer: -61.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 5480, 4, 0, -5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2606 is divided by 100.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28762200 divided by -13224?\nAnswer: -2175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2 - u**2 + 2. Let z(h) be the second derivative of 17*h**3\/6 - 61*h. Give z(b(g)).\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 179 = -2*d + 5*d, b + 310 = 5*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 4*c + 1. What is l(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 15*m**4\/4 - m**3 - 2*m**2 - 5*m - 125. Let x(g) = 7*g**3 - g**2 - 2*g - 2. Give -2*t(l) + 5*x(l).\nAnswer: 5*l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/35)\/(s*(s**(-22)\/s*s)\/s*s) assuming s is positive.\nAnswer: s**(733\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmmppmmpmpm. What is prob of picking 3 p and 1 m?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*b*s**6 - 35*b*s**3 + 656*b*s**2 + b*s - 4*b wrt s?\nAnswer: 17520*b*s**3 - 210*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23790 divided by -17.\nAnswer: -23790\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 12804.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3193 divide 723876616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633*g = -649*g - 192 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (52 - (4 - 0)) + -3. Suppose 7*o = -p + 10. Which is the third smallest value? (a) o (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -7 - (1 - -3)) + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44130)\/(-735) - (-76)\/(-1862). Calculate the highest common divisor of i and 1644.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000707243 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 2*x - 4. Let z be s(-4). Let j = -2 + z. Let l be -1 - j\/((-4)\/10). Solve 0*y + l*y - 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r - 3*r)*(-8 + 57*r + 8)*(6 - 5 + 4).\nAnswer: -285*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 23 + 44*h - 24.\nAnswer: 44*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(75)*3)**2 + -2.\nAnswer: 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5\/2 - 2291*x**4 - 249905*x**3\/2 - 1017629*x**2 + 124952*x + 1019920 = 0?\nAnswer: -44, -10, -1, 1, 4636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58, -58, 90, 476, 1190, 2322?\n\"Answer: 15*n**3 - 16*n**2 - 57*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 82 = 138. Let h be ((-126)\/441)\/(g\/14). Let y = 0.3 + -0.5. Which is the second smallest value? (a) 3 (b) h (c) y (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 125185*p + 130320190.\nAnswer: -5*(p - 26038)*(p + 1001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1617006, -1617159, -1617312, -1617465, -1617618, -1617771?\n\"Answer: -153*c - 1616853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (131 - 147)*(1\/3 - 21\/9). Calculate the greatest common factor of k and 11488.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x. Suppose 0*l - 12 = -6*l. Let q be 3\/15 - (-38)\/10. Solve -4*z - 2*t - l + x = 0, -q*t = 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 8. Suppose 3*r - 34 = -5*y, 4*r - 9*y + 40 = -5*y. Let s(v) = -v**3 - 16*v**2 + v - 41. Calculate r*s(i) - 11*a(i).\nAnswer: 2*i**3 - i**2 - 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -116 and 134.\nAnswer: -15544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2505 - -5?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five halves of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 2*c**2 - 7*c + 4. Give j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 3*f**2 - 4*f + 10. Let g be q(4). Let k(w) = w**2 + w - 10. Is 22 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 40. Let x = 2 + -1.9. Suppose 4*k - 2*k = 4. What is the closest to x in y, k, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 18}. What is prob of picking 1 m and 3 h?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9538, 19034, 28530?\nAnswer: 38026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbbb when four letters picked without replacement from babbbbbdballbb.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 33, -0.5, 2\/9, 57, 0.2 in increasing order.\nAnswer: -0.5, 0.2, 2\/9, 6\/5, 33, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 32) + (3 + -2 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/25, 0.2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8221 + 13*s - s**3 - 16419 + 14*s**2 + 8215. Give d(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5938 = -0*l - 3*l, 2*n - 5918 = 2*l. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 9*z - 3*z. Let q = -4 - -6. Sort q, 1, z in decreasing order.\nAnswer: q, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.055 + 0.055092. What is p rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66808 and 560.\nAnswer: 668080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = 0, 3*s + 2*s - 25 = -2*v. Suppose -5*y = -5*q + 40, -v*q - y + 2*y = -20. Let b = 0.4 + -0.2. What is the closest to 0.1 in -3\/4, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 157*y - 93*y + 384 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228*a**3*o**2 - 6*a**2*o**2 + 2*a**2 + 10*a*o**2 wrt a.\nAnswer: 1368*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 6*u + 191 = 221 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13096, -13094, -13092?\n\"Answer: 2*h - 13098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/18 - 4508\/(-36)) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10051*t + 276082 = -10049*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 15*u**2 + 72*u + 812. Let x be b(-14). Let c(s) = s + 5. Let q be c(-9). Sort q, x, 1 in descending order.\nAnswer: 1, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4189538, -8379074, -12568610, -16758146, -20947682?\n\"Answer: -4189536*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c**6 + 0 - 1\/10*c**5 + 5*c**2 + 0*c**4 + 0*c**3 + 0*c - 1\/105*c**7. What is the third derivative of y(j) wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2)\/30 - 12\/(-18).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1873 or -1930?\nAnswer: -1873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + g**3 + 2*g**2)*(1963*g + 564*g - 52*g) in the form c + i*g + x*g**2 + f*g**4 + l*g**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -261657 (base 9) to base 15.\nAnswer: -32071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -1.7.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*l + 2*t - 2, 3*t - 20 = 4*l. Let v be -1 - (l + 17)\/(-3). Suppose -3*x + 3 = 18. Put v, x, 0 in descending order.\nAnswer: v, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + 1)*(2*y - 4*y + y) + 3 - 3 - 2*y)*(4*y - y - y - 1)*(-y**2 - 3 + 3) as k*y**4 + n + b*y**2 + h*y + c*y**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2\/7 + 8\/7*v**2 + 5\/7*v**3 + 1\/7*v = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i*q**5 - 1891*i*q**4 + i*q**3 - 191*i*q**2 - 676*i*q - q wrt q?\nAnswer: 300*i*q**2 - 45384*i*q + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 2.2, 2\/9, -0.3, -2\/120967?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268 + -268.262. Let l = -0.038 + i. Let q = 100 - 205\/2. Which is the second biggest value? (a) q (b) l (c) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1211299, 1211250, 1211201?\n\"Answer: -49*h + 1211348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -904*h**2 - 633*h**2 + 2232*h**2 to t*h + d + w*h**2 and give w.\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 + 33*p**2 - 13*p - 1. Let k(j) = 2*j**3 + 16*j**2 - 7*j. Let u(s) = 6*h(s) - 13*k(s). Does 11 divide u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -69947\nAnswer: -69947.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13742, 27533, 41338, 55151, 68966, 82777, 96578?\nAnswer: 110363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*n - 24, 3*l - 1035 = n - 1074. Factor -4\/5*g**2 + 0*g + 2\/3*g**n + 0 + 2\/15*g**4.\nAnswer: 2*g**2*(g - 1)*(g + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/10 - 316*c**4\/5 - 125*c**3\/2 + 1893*c**2\/5 = 0. What is c?\nAnswer: -631, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/300 - 2606115\/(-125) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -7*l - 5*l. Suppose 21*r - 13211 = l*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 6*c**2 - 5*c - 3. Let k be o(5). Suppose l + 2*l = -4*u - 5, 2*u - 4*l = -8. Put u, k, -4 in decreasing order.\nAnswer: u, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n + 500 = 25*n. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832686811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1926 and 269319?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - -2. Solve 0 = 5*i - 12 - c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwgwwwomgw. What is prob of sequence ww?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -423*n - 2353. What is r(-7)?\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32047282.\nAnswer: 2, 3877, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1\/3, -61987, 2 in descending order.\nAnswer: 5, 3, 2, 1\/3, -61987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*c - 25. Let m = c - -11. Factor -j + 1\/4*j**2 + m.\nAnswer: (j - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.1918, -0.5, -3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -136, -1066, -3540, -8314, -16144, -27786, -43996?\n\"Answer: -126*q**3 - 16*q**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 521 = -495. Let n be (-12)\/15 - (-5)\/(50\/1258). Is d < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 2, j: 4, a: 1, s: 1, x: 3}. Give prob of sequence xaj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39779.86 micrometers in meters?\nAnswer: 0.03977986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20\/(1\/37*3*(-9)\/(-297))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -1\/2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*b - 144*b = 4761. Solve 5*i = 509 - b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*h + 18, -5*h - 21 = -16*q + 14*q. Let a be 2\/(2 - ((-45)\/q)\/(-5)). Find f, given that a - 2\/7*f**2 + 4\/7*f = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 3*n**2 + 1. Let t(z) = 22*z**3 + 26*z**2 + 1355. Let l(y) = t(y) + 9*v(y). Differentiate l(m) with respect to m.\nAnswer: 93*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2\/15))\/n)\/n*n**(-2)*n*(n\/(n\/(n\/(n**1*n))))\/n*n*n**(-2\/17))\/((n\/n**(1\/2))**(-4\/7))**(1\/13) assuming n is positive.\nAnswer: n**(-74929\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -169 - m + 79 + 88. Let l(n) = -2*n - 3. Let h be (5\/4)\/((-1)\/(-4)). Suppose 3*v = -q - 4, 0 = h*q - 2*v + v + 36. What is q*s(j) + 4*l(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13723757.\nAnswer: 19, 29, 24907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12605 at most as big as 12602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 0 (c) 133 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 181*d**3 - 181*d**3 + 3 - 3*d**2 + 44*d**4 as i + k*d + v*d**2 + f*d**4 + x*d**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -291, 20 in decreasing order.\nAnswer: 20, 0, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.012 and -507424485496?\nAnswer: 507424485495.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y - 234. Let q = -18006 + 17988. What is d(q)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n, -8*q + 3*n + 243 = -3*q. Suppose j + 5*f = 5*j - 243, -3*f + q = j. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 148*v**2 + 53*v - 7869. What is u(148)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztj when three letters picked without replacement from zztgzzttzzgtgjzjttt?\nAnswer: 49\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*a + 5 = 6, 5 = -5*a. Is (-1 - w)\/(13\/15769) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 3*u + 3*u)*(-2*u + 7*u - 2*u) + 0*u**4 - u**4 + 0*u**4 + 5*u**4 - 19*u**4 - 3*u**4.\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -14*w - 245. Suppose -i + 2*j = -2 - w, 109 = 3*i + 5*j. Suppose -i - 41 = -t. Is 41 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in -5.22, 4, -1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 83*(-80)\/56440*(-2)\/(-10)*1\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Let f be (-4 - -7)\/(-3 - -4). Suppose f = 7*v - 39. Solve -2*r - t = -v*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(44)*-1 - ((sqrt(11) - (0 + sqrt(1100)))**2 + (-1 + sqrt(11))*-5).\nAnswer: -896 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 312*p**2 - p**6 + 3*p**3 - 95*p**2 + 366*p**2 wrt p?\nAnswer: -120*p**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444958, -444746, -444532, -444316, -444098?\nAnswer: -443878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 1:54 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(((-3120)\/(-286))\/60)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/16)\/(10\/(9200\/(-3420))) and 125\/42.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.8 - 29. Let c = o + 0.254. Round c to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -346, -355?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 164?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -7. Find i, given that y + 0 + 0 + 2*i**2 + i**3 + i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -0.3.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214 + 219. Suppose -4*h = u*b - 402 - 338, -5*h = 5*b - 920. What is the greatest common divisor of h and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4672493224 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 205. Suppose -q*k = -103*k + 380. Let c = k + 56. Does 41 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 4. Factor 2*g**4 + 4*g**2 - 2*g - 2*g + 6*g**2 - s*g**3.\nAnswer: 2*g*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -855, -2853, -6741, -13149, -22707?\nAnswer: -36045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 3 + 770\/(-80)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1141710?\nAnswer: 1141715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + h - 10 = 0, 2*h = -x + 3*h. Let u be x\/(1 - -1) - -3. What is the biggest value in -3, 1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 2.7\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**2 - 463*o + 130. Calculate the remainder when 509 is divided by x(-77).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - (-105 - -93).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 31537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/((-4)\/16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**10\/560 + j**6\/12 + 9*j**3 + 34. Let p(c) be the third derivative of s(c). What is the third derivative of p(i) wrt i?\nAnswer: 1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 5 + -9 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58104740.\nAnswer: 2, 5, 2905237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 0*h**2 + 67*h - 66*h + 10 + (-3 - 2 + 1)*(-18*h + 18*h - 21*h**2) - 4*h**2 - h**2 + 3*h**2 in the form t*h + r + z*h**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.3, -1, 7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -14. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -20*o - 24. Give z(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 5*w**2 - 5*w - 3. Let o be v(6). Suppose 0*z = 3*k - 4*z - 249, 4*k + o*z = 307. List the prime factors of k.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytzywwizzviiyv. What is prob of sequence iw?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzwllwlmt. Give prob of sequence wlw.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o = 74*o - 5137 + 3012 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 7296?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 52664742?\nAnswer: 579312162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*i**6 - 3*d**2 - 208*d*i**6 - 17*d*i**2 wrt i?\nAnswer: 240*d**2*i**3 - 24960*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 2:05 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 5, c: 1, e: 3}. Give prob of picking 1 e and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/5 + 138926*q**2 - 694636*q\/5 - 1389264\/5 = 0. What is q?\nAnswer: -347316, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*5*-1*sqrt(275) + 2 + (sqrt(275) - (4 + (1 + sqrt(275) - sqrt(275)))**2))*2 + 4)*5.\nAnswer: -950*sqrt(11) - 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*l + 3*l + 365, 2*h - 184 = 4*l. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*z = 2*j + 1, -5*z - 3 = -2*j. Let h = -5 - -8. Solve -d - 3 = 0, u - h*u + 4*d + j = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 - m**3 + 2*m**2 + 3*m**3 + m**4 + 4*m**2 + 3 to the form x*m**4 + q*m**2 + i*m**3 + j + d*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267 divided by 314.\nAnswer: -267\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 17 - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 10*n - 8. Let m be l(9). Let o = -1.63 + 1.7. Let y = o + -0.47. Sort y, 2\/9, m in increasing order.\nAnswer: y, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (30\/(-42) - -1)*49 and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 121*g**3 + 129 + 124 - 21*g**3.\nAnswer: -142*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j + 138 + 369 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + -3 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, -0.4, 1, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -1\/3*a**4 - a**2 + 0 - 25*a - 1\/12*a**5 + 5\/2*a**3. What is the derivative of f(b) wrt b?\nAnswer: -10*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-170*t**4 - 365*t**4 - 411*t**4).\nAnswer: -946*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/(-2))\/(112\/(-16)))\/(((-55)\/77)\/(-1))\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 762857090 divided by -20830?\nAnswer: -36623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skj when three letters picked without replacement from {k: 2, s: 2, j: 1, m: 2, q: 1, i: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -472 - -491. Is 3\/13 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from {l: 2, u: 2, f: 2, d: 3, e: 8, x: 2}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -238, -351, -460, -565, -666, -763, -856?\n\"Answer: 2*f**2 - 119*f - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -643961888 divided by 8?\nAnswer: -80495236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 174830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*l*m**2 + 8*d**4 - 18*d**3*m**2 + 2*d**2*l*m**2 + 2*d**2*m**2 - d**2 + 1204*l wrt d.\nAnswer: 48*d*l*m**2 + 192*d - 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*q - 49, q + 291 = 4*d - 0*q. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68377 - -8757853.2?\nAnswer: 8689476.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57678 or 57206?\nAnswer: 57678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 1 + 0*t + 0 + 0*t. Let b = 8 - 7. Calculate i(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/120 + (-3 - -2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*j**3*k*q + 11*j**3*q + 8*j**3 - 27*j**2*k*q + 6*j**2*k - 2*j - 5*q + 4 wrt j?\nAnswer: 450*k*q + 66*q + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*(0 - -12). Suppose -2*k + g = -10. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a - 20*a + 1 + 13*a. Calculate i(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + -35. Let f = u + 113. Suppose -19*m = -f*m - 594. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 14226*n + 1920673. What is w(-135)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 + -672313?\nAnswer: -672416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a + 267*a**3 + 31*a.\nAnswer: 267*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8894*r + 506966. Determine h(-57).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 5*g**2 + 2*g**2)*(-1 + 2 - 8).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + -95. Suppose 2*w - 11 - p = 0. Solve -7*j + w - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -10165065?\nAnswer: 10165102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) -37 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/15 - 2756*w\/3 + 4747210\/3.\nAnswer: 2*(w - 3445)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 445.850798 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*g - 1, -p + 2*p - 4*g = 9. Let n = 111 + -108. Calculate the lowest common multiple of p\/(-5) - 240\/(-75) and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360029 divided by 33?\nAnswer: 360029\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131808.3mm to centimeters.\nAnswer: 13180.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088441ml in litres?\nAnswer: 0.000088441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 436 - 438.23. Let d = 2.23000186 + y. What is d rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1. Suppose 15*g - 16 = 11*g + 2*z, 0 = 2*g + 5*z + 28. Let x(q) = -6*q**2 + 5*q + 6. What is g*x(l) + 5*m(l)?\nAnswer: -6*l**2 + 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1488 divided by -2.\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r*x**2*z + 401*r*x**2 + 90*r*x*z**2 - 3*r*x + r*z**2 + 2*r - 2*x**2*z**2 + 18*x**2*z - 2*x + 10*z wrt x.\nAnswer: 2*r*z + 802*r - 4*z**2 + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 9*p**2 + 3*p + 132. Let m be f(-10). Solve 0 = -4*g + m*n + 8, -4*g - 2*n = -5*g + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2 - 144*r - 5600 = 0.\nAnswer: -28, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-20) - (-14)\/(490\/483)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029?\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38*7.\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p - 1. Determine o(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4\/5 - 82*d**3\/5 + 1696*d**2\/5 - 7296*d\/5 = 0.\nAnswer: -57, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (-17 + (4 - (-3 - -3))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(7\/11)\/v*v**(9\/7)*v*(v**4*v)\/(v**(1\/18)*v) assuming v is positive.\nAnswer: v**(8131\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = 4*y - 234. Calculate the highest common factor of 270 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2. Let z(g) = g - 21. Let i(s) = 3. Let c(d) = -35*i(d) - 5*z(d). Give c(p(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147 + 117*v - 231 + 550 wrt v?\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -33917762.7?\nAnswer: 33917762.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*x**5 + 33*x**4 - 58*x**2 - 22169*x?\nAnswer: -60*x**3 + 396*x**2 - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 0.2 (c) 15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41127 is divided by 92.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(1700))**2 - sqrt(1700)) - sqrt(1700).\nAnswer: -13600 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5560*p - 7 = 5561*p, p - 208 = -5*g. What is the remainder when 8770 is divided by g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 - 17*y - 3*y**2 - 96 - 24*y to j*y + l*y**2 + k and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186987 is divided by 136?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-880)\/2 - (-15)\/5. Let v = -256 - u. Suppose 5*a - v = -16. Is a a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 2 (b) -1\/2 (c) -0.02 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -111010011?\nAnswer: -111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -39*w - 11*w + 444. Suppose -3*x - q = -0*q - 36, 5*q = 2*x - 24. What is the greatest common factor of x and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1324817270?\nAnswer: 1\/1324817270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 824, 3747, 8774, 15905, 25140, 36479, 49922?\nAnswer: 65469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 28 - 15)*(-3*q + 7*q - q) - 33 + 33 + 6*q to the form h + n*q and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4104.2 - -9\nAnswer: 4113.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1460 and 1050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -34220032?\nAnswer: 34220040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1 - (-28 + 16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/5056784 and -61\/64?\nAnswer: 20227136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*c**3*t**3 + 301*c**3*t**2 + 2*c**3 - 38*c*t**2 - 31*t**3 wrt c.\nAnswer: 48*c*t**3 + 1806*c*t**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*j - 14, 0 = -j + 6*n - n - 3. Differentiate 11*u + 14 - 4*u - 7*u - 11*u**j wrt u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.3 and 52595.8.\nAnswer: -752119.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 31 + 34 = -3*o, o + 1 = 4*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n. Let g be u(0). Suppose -d = -a + 1, -2*d = -a - g*a + 2. Suppose a = 7*l - 0*l - 182. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2 - 9*p + 2. Let n(z) = 14*z**2 + 26*z - 5. Let o = -14 + 22. Let y(k) = o*g(k) + 3*n(k). Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311747 (base 10) in base 14?\nAnswer: -81879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 - b + 1. Let g(z) = 4*z**2 + 3636*z + 1. Determine -2*g(y) + 2*u(y).\nAnswer: -2*y**2 - 7274*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 0.2. Let x = 35\/4 - 17\/2. Let v = 0.7 + -1. Sort v, j, x in descending order.\nAnswer: x, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 15*y - 10. Let j be s(14). Suppose -j*w = -2*o + 16, 2*o + w + 2*w = 2. Solve -o*l - 5 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**7\/210 + 11*d**5\/60 - 3*d**4\/4 + 4*d**3\/3 - 9*d**2\/2 - d + 36. Let m(i) be the first derivative of j(i). Factor m(u).\nAnswer: -(u - 2)*(u - 1)**2*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/12)\/((-1)\/(-2)). Suppose h + 0*a - l*a - 15 = 0, 5*a = -5*h - 5. Solve -20 = h*u + u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-t**4 + 0*t**4 + 0*t**4) + 14 - 14 + 3*t**4 + (-5*t**4 + 2*t**4 + 2*t**4)*(38 - 76 - 16).\nAnswer: 58*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56, 230, 528, 956, 1520?\n\"Answer: x**3 + 56*x**2 - x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -22 - (2 - 14) - 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4980, 4909, 4790, 4623, 4408, 4145?\n\"Answer: -24*o**2 + o + 5003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2084635 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/27144 and 181\/67860.\nAnswer: 135720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*a = 72*a + 33. Solve 5*g - a*g = -12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*sqrt(78) - sqrt(78)) + (sqrt(78) + (sqrt(78) - -4*sqrt(78)))*-5)\/(sqrt(864)*-5*4*-5).\nAnswer: -7*sqrt(13)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/10 (b) 0.04 (c) 0.03 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44762 + 44767. Which is the closest to 0? (a) 0 (b) q (c) -7\/170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -1, 3*t + 11 = -3*h + t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 1 b when three letters picked without replacement from ffffbacfabf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 2*q - 7. Let k be j(-6). Solve 4*f - f - d + k = 0, 0 = -f + 2*d - 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 12*k - 112. What is the greatest common factor of 28 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3396 - 6792 - 873*v + 3396 to the form k*v + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 6*m + 395. Give b(0).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 20*a - 127. Let k be z(10). Let p = k - -113. Calculate the lowest common multiple of p and 5.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32930713?\nAnswer: 32930713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102293 to 6 decimal places.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 1 (c) -3\/34 (d) 3\/8 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1164967755 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 2*s - 1. Let w be n(-2). Suppose h - 4*h + 5*v = -w, 0 = 4*v + 20. Let j(k) = -k**3 - 5*k**2 + 5*k + 4. Is j(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -76 and 21.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 3*x**4\/4 - 5*x**3\/3 + x**2\/2 - 2*x - 115. Suppose -10 = 4*u - 6*u. Is h(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 22 = 2*d - 3*w, 4*d = -5*w + 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(5 - 5 + 1)*(-13*w**4 - 6*w**4 - 8*w**4).\nAnswer: 27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(1539) + 1)) + -1.\nAnswer: -8*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*i**2 - 68*i**2 - 4*i**2.\nAnswer: -157*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 divided by 3099?\nAnswer: 235\/3099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 63*z**3 + 9*z**2 - 13*z + 4. Let b be t(1). Let q(h) = 2*h - 5. Let x be q(7). What is the greatest common factor of b and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 16*v**2 - v + 26. Let y be l(16). Let n be 4*(-15)\/6*(-4)\/y. What is the first derivative of -34*u**n + 19 + 56*u**4 + 13 wrt u?\nAnswer: 88*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 + 120. Suppose -7*u = -c*u - 240. Solve -5*l = -o - 21, -3*o + u = 4*l + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*l + 60*l = -1224. Solve 2*y + 3*f = -l, 3*f = -y + 4*f - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, o: 2, x: 5, l: 2, r: 1}. Give prob of sequence xr.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 24 = 4*t, 0 = 4*j - t + 3*t - 18. Solve -5*b = -j*l + 13, l + 3*b + 1 = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1854117 and 3483.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107918 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2974892 - -23761791\/8. Let x be 13976\/(-3) - (-8)\/(-6). Let z = x - j. Find the common denominator of z and -145\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*w - 2*y, -32 = 3*w - 7*w + 5*y. Let z be (5\/w + -2)*-30. Let q(r) = -r**2 + 13*r - 1. List the prime factors of q(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 9*f**2 + f + 67. Let b be j(8). Solve 6*p - b*p = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 479 + -382. Suppose 3*z = -2*j + 26 + 167, j + z - k = 0. Calculate the highest common divisor of j and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 3. Let c(h) = -h**2 + 6*h + 8. Let v(n) = -n - 1. Let d(b) = -c(b) - 6*v(b). Let z(u) = -4*d(u) + 3*g(u). Differentiate z(w) wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -504?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-3)\/(-186)). Let g = s - -59. Suppose -2*l + 12 = m + 3, 4*l = -4*m + g. Solve -5*r - 25 - 11 = -4*p, 0 = -p - m*r - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**6\/40 + 2*f**3\/3 - 3*f**2\/2 + 2*f. Let d(g) be the first derivative of z(g). Differentiate d(r) with respect to r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -13*t**6\/20 + t**5\/60 + 3*t**4 + t**3\/3 - 401*t**2. What is the second derivative of g(f) wrt f?\nAnswer: -468*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15270, 16933, 19704, 23583, 28570, 34665?\n\"Answer: 554*l**2 + l + 14715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -5, -36, -3, 0, 5 in decreasing order.\nAnswer: 5, 0, -3, -5, -36, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + y = -4*y + 168, 0 = 4*s + y - 300. Let l(c) = -68*c - 5 - 6 + s*c + c**2. Let t = 2 + -10. Determine l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 80*w - 157. Let z be l(-2). What is the biggest value in 10\/9, -5, -2\/9, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 116662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:29 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 59. Let i = b + 25.2. What is the third biggest value in -0.1, i, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3018, -7259, -11488, -15699, -19886, -24043, -28164?\n\"Answer: p**3 - 4248*p + 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3688\/3 + 1230. What is the third smallest value in t, -14, 1\/5, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7284, -14611, -21924, -29223, -36508, -43779?\nAnswer: -51036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 - 2*f - 2. Let v be c(-1). Let h(y) = -v + 5 + y + 0 - 8*y**3. Determine h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - y - 34. What is v(0)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**4 - 2*q**3 - 20*q**2 + 8*q + 6. Let a(r) = -3*r**4 - 2*r**3 - 19*r**2 + 7*r + 7. Let s(o) = -6*a(o) + 5*y(o). Let s(x) = 0. What is x?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*l = -288*l + 170. Let c(n) = l + 2*n - 44 - 38. Determine c(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209 + -833\/4. Which is the closest to 0.1? (a) -6\/13 (b) -0.4 (c) l (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/3))**(-2\/35)\/((c*c*c**(6\/7))\/(((c\/(c**(2\/5)*c))\/c)\/c)))\/((c\/(c*(c*c**(1\/3)\/c)\/c))**(6\/11)\/(c*c**6*c*c*c*c**(-5\/3)*c)) assuming c is positive.\nAnswer: c**(4244\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 36 + 24. Find the second derivative of 10*n**2 - 493*n + 4*n**3 + y*n**2 + 487*n + 3 wrt n.\nAnswer: 24*n + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.4137 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-12)*(-4 - 0). Suppose -294 = -h*v + 6*v. Is 24\/4*v\/(-6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 9*c**2 - 10*c + 4. Calculate n(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 13260*i - 53104.\nAnswer: 4*(i - 4)*(i + 3319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -2, 3, -4.\nAnswer: -37, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 87*f - 87*f + 2*f**2 - 4*f**2. Let j(z) = -10*z. Determine k(j(i)).\nAnswer: -200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19 - 26 - 3*y + 7 + 6*y. Let k(q) be the third derivative of -7\/24*q**4 + 0 + 3*q**2 + 0*q**3 + 0*q. Calculate k(r(b)).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 225106*a - 2025973. What is h(9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4580634193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4763 and 4410105?\nAnswer: 48511155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 33926?\nAnswer: 67852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2606332*d*g**3*u**3 - 2*d*g*u - 9*g**3*u**3 - 304*g**2*u**2 + 2*g*u**3 + 20*g*u**2 wrt g.\nAnswer: 15637992*d*u**3 - 54*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 3:14 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a + m - 198 = 0, -68*m + 70*m - 16 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**7\/280 - 3*d**6\/160 - d**5\/40 - d**2. Suppose v(w) = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*1*14\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*v + 5*s, -5*s = -0*v - v - 9. Let j(p) = -p**2 - 3*p + 180. What is the remainder when 1\/(-2) - 414\/v is divided by j(11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 9 = 5*c. Suppose 3*x = 2*m - 221, c*x + 530 = m + 4*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/300 and -79\/70.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -63*y**4\/4 + 13*y**3\/3 + y**2\/2 - 530*y - 20. What is the second derivative of s(x) wrt x?\nAnswer: -378*x + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26268802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -181*h + 5450. Let i be q(30). Solve 89*l = 69 + i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(21\/(-18))\/7. Suppose h + 13 = -0*h - 4*a, -2*a - 31 = -3*h. Suppose 3*c + 13 + h = -4*y, 16 = -4*c. Which is bigger: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0 + 10*n - 16\/3*n**3 - 8*n**2 - 5\/3*n**4 - 1\/5*n**5. What is a in p(a) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(105\/(-42))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*v - 1, 3*v + 21*l = 16*l - 29. Solve 4*k - v = 2*u, -5*u + 10 - 3 = -4*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 282\/54 + 4\/(-18). Suppose 3*x - 3*q - q - 11 = 0, 22 = x - l*q. Suppose -36*o = 13*o - 245. Sort 2, o, -1, x.\nAnswer: x, -1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 210, 361?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 190515277 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 26. Let p be q(21). Suppose 2*y - 51 = 77. Suppose 0 = 4*w + 4*f - 0*f - y, p*w - 3*f = 64. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 58*j**3 - 21*j**2 + 5*j - 436. Let d(y) = 25*y**3 - 9*y**2 + 2*y - 218. Give 7*d(r) - 3*v(r).\nAnswer: r**3 - r - 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 390, 0, 13, 425.\nAnswer: -3, 0, 13, 390, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-4*sqrt(396) - sqrt(396))**2 - ((sqrt(396) - ((sqrt(396) - -4*sqrt(396)) + -5))**2 - sqrt(396)))*-6.\nAnswer: -1218738 - 1476*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 5*s**2 + 0 + 1\/24*s**4 + 0*s - 1\/3*s**3. Suppose -2*c - 2 = -2*o, -2*o + 37 = -0*o + 5*c. Give v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568100143 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/4 + 65*r**4\/4 + 33*r**3\/2.\nAnswer: -r**3*(r - 66)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13546475 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/36 + 2\/3)\/((-9888)\/256)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 25 = 2*x, 0 = -2*p - 2*x - 8 - 2. Let l be 2\/(2\/p)*(-28 + 27). Solve -4*u = 4*h + 28, -h + 3*u - 4 = -l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -359\/11 - -25\/22. Calculate the common denominator of t and 214*(-2 + (-23)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + -64. Factor 15*i**d - 154*i**3 + 136*i**3 - 3 + 4 - 7 + 9*i.\nAnswer: -3*(i - 1)*(2*i - 1)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-286) - (-4800)\/(-22). Let u = h + 223. Solve 3*w = 2*w + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 - 4043033030?\nAnswer: -4043032320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*763396.\nAnswer: -3053584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -609 or -2439\/4?\nAnswer: -609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 5*i - 2*i + (-3 + 2 + 2)*(-35*i + 83*i - 88*i).\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -177302 at least as big as -176932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64.6 + 73. Let q = s + -11.4. Which is the nearest to -2? (a) q (b) 1\/7 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 14. What is the remainder when s is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 6*w + 3. Let q(s) = -s**2 - 12*s + 7. Give 5*b(u) - 2*q(u).\nAnswer: -3*u**2 - 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a microgram in nanograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*n + w, 0 = 4*n + 4*w - 9*w + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3333\/4 - 833. Which is the closest to -1\/4? (a) 30\/19 (b) x (c) 2\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24769746 divided by -8682?\nAnswer: -2853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*k*n**3*y + 81*k*n**2*y - 210*n**3 - 4*n**2*y with respect to k.\nAnswer: 7*n**3*y + 81*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 148. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -40. Suppose -10 = v + s. Let m = v - -61. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.596 - 2653.188853.\nAnswer: -2652.592853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-52))\/((-3)\/72).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1308 and 69?\nAnswer: 30084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 27 = 3. Suppose -4*k = -2*z - 2, -k + 3*z + 4 = q. Let d(h) = 8*h - 5. Let i be d(k). Put i, -3\/2, -1\/6, 2\/7 in descending order.\nAnswer: i, 2\/7, -1\/6, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44072\/16355 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-336)\/(-32))\/7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 1\/3, -59, 1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o + 20. Let v = o - -4. Let r = -9 + 11. Which is greater: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3 - 1. Let c(j) be the first derivative of -2*j**2 - j + 2. What is c(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 1309\/9. Let i(y) = -y**3 + y**2 + 1. Let m be i(1). Which is the nearest to m? (a) 0.3 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 2*x**2 + 2*x**5 + (3*x - 3*x + 2*x**2)*(3*x**3 - 3*x**3 + x**3) - 4*x**5 - 2*x**2 + 2*x**2 + x**5 + 3*x**5 - 3*x**5.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - d**2 - d. Let q be 16\/3 + (-8)\/(-12). Suppose -2*p + 4*v = 0, 2*v + 6 = p + q*v. List the prime factors of c(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (-16 + 26 + -16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*z + 26299 = 85*z + 97*z - 116*z for z.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -459*w**2. Let d(r) = -7841*r. What is x(d(m))?\nAnswer: -28219907979*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 43*k + 12487 = -46*k, 3*b + k - 7495 = 0. What are the prime factors of b?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121.3 - -121. What is the third smallest value in -1\/4, i, -2\/7, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -42*g**2 - 48*g - 2. Let v be u(-1). Let x(m) = 3*m**2 - 6*m + 9. Give x(v).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) 4\/187 (b) 270 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3471.\nAnswer: 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 17*t = -96 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70 - 7c?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 28.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1011674 = 24*l - 182*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (27\/12)\/9 + (-32250)\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + -8 + 0 + 5 + 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493565.76 microseconds in hours?\nAnswer: 0.0001371016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*k**2 + 326*k**2 + 290*k**2.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -100 - a?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 0.0518, 0.23, 7\/13, 1\/4?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 4:34 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 2*n**2 + 0 + 0*n + 1\/60*n**5 - 1\/6*n**4 - 1\/2*n**3. What is the units digit of u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 20 + -28 - ((-3 - -17) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -19*u**8\/112 + u**7\/105 + 11*u**4\/4 + u**2 + 22*u. Find the second derivative of v(p) wrt p.\nAnswer: -1140*p**3 + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -83*y + 4841. What is the hundreds digit of v(-135)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 + 1. Let h = -263 + 262. What is the closest to -0.1 in d, h, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) -3 (c) -552 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/153 and -58\/6715.\nAnswer: 60435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -24. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1055354 and 2826.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -72688.\nAnswer: -4361.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1936 - 5737\/3. What is the common denominator of 58\/45 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31411406 (base 7) to base 12.\nAnswer: -a82558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22661 + -30?\nAnswer: 22631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - (-14311)\/2040) + (-29 - -44) + -23 and -1\/90.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f*f**32))\/((f*f**(-8)\/f*f)\/f))\/(f\/(f*f**(2\/7)))**(-23) assuming f is positive.\nAnswer: f**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + 112212212221111?\nAnswer: 112212212220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/383 at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15943148.5 and 0.01786?\nAnswer: 15943148.48214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/120 + i**5\/10 + i**4\/6 + 2*i**3\/3 + 3*i**2. Calculate o(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 18 + -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 24012648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -326.571 and 744.5148.\nAnswer: 417.9438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*n**2 + 9*a**2*n**2 + 2*a**2 + 3648*a*n**2 wrt a?\nAnswer: -12*a*n**2 + 18*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 643 + -375. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.1, 21, 7\/4, -0.3, 3 in decreasing order.\nAnswer: 21, 3, 7\/4, 2\/9, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/6*((-120)\/(-16))\/5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 4*p**2 + 4*p. Let z be r(3). Suppose 0*l = l - 16. Suppose -z*f + g = -16, 2*g + l = f - g. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27004 and 2404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45990, -44757, -43560, -42417, -41346, -40365, -39492?\n\"Answer: -3*q**3 + 1254*q - 47241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-592)\/(-3404)*12\/8.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -m - 16, 0 = 2*r - 2*m - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13341, -13343, -13345, -13347?\n\"Answer: -2*i - 13339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 7832917114*g**2 + 7832917114*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from vvwpv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 46*z**3 - z**2 + z + 2. Let p be w(3). Let d = p + -650. Suppose -d = -5*i + 2*i. What is the greatest common factor of i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-370)\/(-666)*2\/70)\/((18\/6)\/21)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 933 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 24107433.\nAnswer: 144644598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 293 = 4*d, 78*d = 81*d + 4*m - 211. Which is bigger: 72 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.11447 + -108318.11447. Let o = -108308.5053 - p. Let y = o + -8.5. What is y rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13987 - -35.1.\nAnswer: 35.23987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -29*q**3 - 4*q**2 - 5*q. Let j(p) = -14*p**3 - 2*p**2 - 3*p. Let f(l) = 3*d(l) - 5*j(l). What is the third derivative of f(c) wrt c?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 3*p**2 - 16*p + 13. Give f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -2*u - 3*u + 4*c, -3*c = -4*u + 153. Let w = u - 27. Differentiate w*h + 11*h - 3 - 25*h wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d - 1068. Let a = -2284 - d. What is a rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 2*t - 1. Let j be h(-3). Suppose -6*u**2 + 10*u - 2 - 2*u**4 + 4*u**4 - 4 + j - 2*u**3 = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 243604 and -177?\nAnswer: -43117908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*d - 12*d + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 646895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 22*k**2 - 6*k - 3. Let v be o(4). Suppose 4*h - 165 = -3*n + 166, 3*n - v = 2*h. List the prime factors of n.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158.0279 + 158. Let g = -2.0279 - v. Let d = -1.1 - -1. Sort d, -0.4, 3, g in descending order.\nAnswer: 3, d, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001001110 - -101?\nAnswer: 110001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 33. Let y be s(22). Suppose -y + 43 = -4*o. Let p(b) = b**2 + b + 5. What is the tens digit of p(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 - (-23 - -112) - -18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 8*d - 24. Calculate o(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -504778 and -1781.\nAnswer: -506559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7 = -4*g, 0 = -4*h - 5*g + 25 - 3. Is h - (-5 - 34\/2) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 826, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -279*j - 1678. Let c be u(-6). Do -170\/37 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 - 18 = 0. Suppose -w + 60 = v. Solve 3*k - 19 = -0*m - m, -5*m + w = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11122 < 10574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 143?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*150203\nAnswer: 45060.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 9. Let b be r(-5). Suppose 3*g = b*y + 13 + 5, -g - 5 = -5*y. What is the greatest common factor of g and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15670 + 28830. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 36*t**7\/35 - 18*t**6\/25 - 261*t**5\/50 - 233*t**4\/60 - 37*t**3\/30 - t**2\/5 - 691*t. Let m(b) = 0. Calculate b.\nAnswer: -1, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 18. Let v(g) = 361*g**2. Calculate v(a(i)).\nAnswer: 361*i**2 - 12996*i + 116964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3484793111 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 52 (c) 1 (d) -2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7770933.\nAnswer: 3, 47, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 78 in descending order.\nAnswer: 78, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -7*o**6\/60 - o**5\/6 + o**4\/6 - 56*o**2 + o + 22. Let d(y) be the second derivative of u(y). Factor d(v).\nAnswer: -2*v*(v + 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 21 = -12. Suppose d*c + 18*c - 16443 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -921 + 1600. Let i = n - 31910\/47. Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*i**3*s**3 + 3*i**3*s - 2*i**2*s**4 + 2*i*s**2 + 6*i*s + 50*i wrt s.\nAnswer: 54*i**3*s - 24*i**2*s**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + g + 4. Let v = -137 + 235. Let k = -93 + v. Let y(b) = b**2 - b - 3. Determine k*r(z) + 7*y(z).\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 + 8*y**2 - 2*y**2 in the form g + t*y + z*y**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + (-6)\/2 - (-417)\/(-36) and (-1894)\/(-1152) - ((-140)\/18 - -8).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:39 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**4\/24 - z**3\/6 + 2*z**2. Let t(n) = -5*n - 9. Let a = -2417 + 2423. Determine a*s(o) - t(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 3. Let b = -23 - u. Let g = b - 1. What is the nearest to -1 in -0.3, -4, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-39)\/12)\/((-3)\/108). Suppose z + 2*j - 36 = 0, -3*j = -2*z + 2*j + b. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 16) + (-2 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46929279 a multiple of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 = 45*k - 245*k + 981 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5043*j**2 + 3000*j - 12. Let a(g) = 5035*g**2 - 3001*g + 18. Let r(k) = -2*a(k) - 3*m(k). Find the second derivative of r(n) wrt n.\nAnswer: 10118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12611 - -12608. Sort 11, j, 6, 3 in descending order.\nAnswer: 11, 6, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (7 - 0) - (24 - (-3 + 1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 1, r: 1, z: 1}. What is prob of sequence drd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b + 25*b - 117*b - 44*b as c*b + i and give c.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 3)*(7 - 6*h - 7)*(0 - 1 + h + 2).\nAnswer: 24*h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18272.4 + -18273. Which is the fifth biggest value? (a) 2\/5 (b) p (c) 4 (d) 0.1 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976864408 to the power of 1\/3, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.71195 - 0.54\nAnswer: 0.17195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 6*h = 10251. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = 0, 499350 - 3067090 = 3*x + h. Let u = -1213912 - x. Round u to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*w - 790833, -4*v - w = -1523066 + 468627. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140 - -314. Let x be ((0\/(-6))\/(-4))\/(-3). Suppose -4*v - t + 373 = x, 2*t = 2*v - 0*t - d. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 172\/(-430)*14*5. Let a be (-3 - 0)\/(6\/(-92)). Let t = a + l. What is the lowest common multiple of t and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 28, 29, 22, 7?\n\"Answer: -4*z**2 + 21*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g**2 - 5*g. Let f(z) = 117*z**2 + 54*z. Let q(s) = 5*f(s) + 54*j(s). Let l(o) = 12*o + 2. Give l(q(a)).\nAnswer: -108*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c**6 - c**4 - 36*c**2 + 5*c + 5. Let l(v) = 6*v**6 + 18*v**2 - 2*v - 2. Let w(d) = 2*g(d) + 5*l(d). Find the third derivative of w(i) wrt i.\nAnswer: 480*i**3 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itti when four letters picked without replacement from {t: 8, i: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -3 - (3 + -5). Suppose -23 = -u*c - a, a + a + 20 = 3*c. Solve c*m - 2*h = 2*m - 16, -4*h = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-1 - -1)) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27618411215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*r - 89997 - 105112 + 2545. List the prime factors of r.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 + 5*h**2 - 12*h. Let n(c) = c**2 + c + 3. Let r(z) = -5*z**3 + 10*z**2 - 24*z + 3. Let y(k) = n(k) - r(k). What is -7*d(b) - 4*y(b)?\nAnswer: b**3 + b**2 - 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 3*h - 13, h = -4*q - 5. Which is the nearest to -1? (a) q (b) 2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 12*z**2 - 7*z - 61. Calculate y(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-81))\/((-7)\/3 - 1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19771 - -19777. Solve 8 = -8*p + q*p + s, -8 = -2*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 32*d**2 + d + 13. Does 3 divide z(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Let z(t) = -4*t - 24. Let x be z(-7). Solve 0 = x*b - 4 - w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6086*f**4*h**2 + f**4*h - 294*f**3 + 2*f**2*h**2 - 184934*f**2*h - 7*f + h**2 wrt f?\nAnswer: -146064*f*h**2 + 24*f*h - 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2283 (b) -411 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3 + 53*q**2 + 26*q = 0.\nAnswer: -26, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -3, 3, 130.42, 4, -3\/2 in ascending order.\nAnswer: -3, -3\/2, 0, 1, 3, 4, 130.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.75 in 0.068, 0.01, -8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*j**3 + 787 + 5*j - 5*j - 448*j**3 - 3*j**3 wrt j.\nAnswer: -1206*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/1862 - 23939\/703\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -512467722*l + 314998984?\nAnswer: -512467722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (5 - -13 - (1 - -6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3547.\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a - 11 + 22*a + 44*a - 58 - 11 + 8.\nAnswer: 35*a - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1712541217 rounded to three dps?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*q + 3*l**3 + l**2*q + l*q + 181*l wrt l?\nAnswer: -6*l*q + 18*l + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.331 and 0.07.\nAnswer: 0.02317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((3\/(-9)*1)\/21*-3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 3. Let t = -11 - -16. Calculate the remainder when u(1) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (25 - 22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*h**3 + 14172*h**2 + 1780032*h - 3354832 = 0. Calculate h.\nAnswer: -254, 13\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**4 - 1320*z**3 + 9126*z**2 - 14304*z + 6495 = 0.\nAnswer: 1, 5, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k + 47. Let s(n) = n + 3. What is f(y) + 6*s(y)?\nAnswer: 3*y + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68041*g*o**3 + 90*o**3 - 2*o + 9 wrt g?\nAnswer: -68041*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1166*q**2 - 1405*q.\nAnswer: 2332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -42. Let x(r) = 10*r + 5. Let u(p) = 21*p + 10. Let w(k) = -2*u(k) + 5*x(k). Let y(l) = -7*l - 4. Let q(o) = -5*w(o) - 6*y(o). Give q(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54.09 + 0.91. Let f = g - 55.00137. What is f rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1) - -13 - -1. Suppose -2*q + r = 3*q. Suppose 3*v - 19 = q*b + 35, b = 1. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2581, 2601, 2647, 2731, 2865?\nAnswer: 3061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 281 - 285. Suppose 10 = a - 11. Suppose -a*f = -16*f - 20. What is the closest to 1 in -2\/13, f, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -308.\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 128 - 78 - (1 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + 108 - 33) + -19.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 9 - 25. Let m(r) = -5*r - 16. Let a be m(p). Which is smaller: a or 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 20700.\nAnswer: -1\/20700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -8 - 0 - (7 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, -1, 2.7, 0.04, -1\/2?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Suppose 2*v - 5*z = -34, -2*v + 4*z - 44 = 2*v. Let u = v + 9. Let w(x) = x**2 + 0*x**2 + 3*x**u. Calculate p(w(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 248897206 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2471 and 609278?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) + 8\/3. Solve -j*l - 7 - 3 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 30*i. Let p(a) = -2077*a**2. Calculate h(p(v)).\nAnswer: -4313929*v**4 + 62310*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eamemamytteym. Give prob of sequence yeme.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3577\/10 - 82291\/230. Which is the third smallest value? (a) w (b) -7 (c) 0.2 (d) 0.05 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 4*w + 5. Let n(z) be the second derivative of z**3\/2 - z**2 - z. Let f be n(2). Give g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:35 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 25*q + 214. Let a be p(-8). Solve -3*k - a + 0 = -2*t, -3 = -3*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 8*m + 2*m)*(2 + 0 - 4)*(-4*m**3 + m**3 + 2*m**3).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3558622511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -300782*g**3 - 14*g**2 + 11629517*g?\nAnswer: -1804692*g - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(21) - sqrt(525)*2 - sqrt(126)\/(sqrt(6)*-1))\/(sqrt(1792) - -2*-3*sqrt(1792)).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*l = 154*l + y - 0*y + 32 + 42, -290 = 2*l + 4*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*-2*2*6*1.\nAnswer: -216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + (sqrt(360)*-1 - sqrt(360)))*-4 + (sqrt(360) + -1*2*sqrt(360) - sqrt(360)))\/(-4*(sqrt(128) - sqrt(128)*-1) + 3*-1*sqrt(128)).\nAnswer: -3*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzc when three letters picked without replacement from zcccccczccccycccc?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3045 + 3044. Which is the second smallest value? (a) -4 (b) 52\/7 (c) q (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/9, -0.02, 0.3, 286?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5550 + 11099 - 5546 + 3*p**2 + 2*p**3 - 2*p**2 - 9*p + 4*p**4 to m*p**3 + o*p + q*p**4 + c*p**2 + h and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeqe. What is prob of sequence ez?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 2.5, -0.3, 2, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -54.9. Which is the nearest to f? (a) 2 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + 72)\/(1*-2). Let i = 24 + f. Let z = i + 21. Sort z, 1, -10 in descending order.\nAnswer: z, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kek when three letters picked without replacement from kek.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 1.393. Let a = q + -0.147. Sort 3, -0.3, a, -2.\nAnswer: -2, -0.3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/7)*m**7)**17 assuming m is positive.\nAnswer: m**(748\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3\/3 + 2*s**2 - s. Let m(f) = -f**3 - f**2 - 12. Let u be m(-3). Let q(r) = -2*r + 5. What is u*p(h) - 5*q(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 21816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - 43\/4. Let f = -7 - l. Suppose 0 = -3*g + k - 5 + 37, -g - f*k + 15 = 0. 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 -2 - 1 - (-2 - (4 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.607022362 rounded to five decimal places?\nAnswer: 0.60702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 - 2*a + 3*a - 2*a**2)*(233 - 412 - 618 + (-1 + 2 + 1)*(3 - 2 + 0)) to the form g*a + s*a**2 + z and give g.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**6\/60 - x**5\/120 - x**3\/6 - 5*x. Let c(p) be the second derivative of b(p). What is the second derivative of c(y) wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1286 = -4*l. Let j = l + 655. Calculate the lowest common multiple of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 64?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*((b\/b**7)\/b)\/b*b*b**3)\/(b*b**0)**35)**(8\/5) assuming b is positive.\nAnswer: b**(-288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/4))**(2\/45)*(w**(2\/7))**(-3\/2) assuming w is positive.\nAnswer: w**(-83\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 17985 = -4*i, i - 4225 = 5*x + 315. Does 53 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-6) + -2 - 2\/(-3). Let k(q) = 3*q**2 - 13*q + 3. Let d be k(w). Suppose -8*z + d*z = 3985. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763258 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6404439 + 13*y + 6404377 + 19*y + y**2 to the form s*y**2 + n + k*y and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, 764, 2448, 5008, 8450, 12780, 18004?\nAnswer: 24128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + 2*h**2 + 2*h**2 + 0*h + 2*h - h**3. What is the remainder when 9 is divided by o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p + 49. Let q be n(7). Let w be 1 + q + 124\/(-20). Solve -w*m**5 + 0 - 4\/5*m**3 + 0*m**2 + 12\/5*m**4 + 0*m = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 1266836*u**2 - 4 + 1.\nAnswer: 1266836*u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 512*b*q**4 - 5*b*q + 63492*b wrt q?\nAnswer: 2048*b*q**3 - 5*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (32\/440)\/(6\/(-15))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f + 17*f + 21*f)*(-4 + 0 + 8).\nAnswer: 176*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/(-6*(-3)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -12) + -37 + 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o - 1686 = -2*t - 37*o, 0 = -4*o - 20. What are the prime factors of t?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358623753?\nAnswer: 3, 139, 860009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*i = -176, -5*i + 74 + 136 = 5*a. Suppose 5*y - a = -11. What is the remainder when 20 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 14. Let o be a(20). Are 55 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-2)\/3*-18. Let j = -72\/5 - x. Let f = -0.03 + -2.97. Which is the third smallest value? (a) f (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**5 - 255*m**4 + 9930*m**3 + 212990*m**2 + 841275*m - 1063935 = 0?\nAnswer: -71, -9, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*j + 37 + 51. Which is the smallest value? (a) j (b) -4\/7 (c) -2\/17 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*p - 4*k + 3 + 3, -4*p = -4*k + 16 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3858116*q**2 + 1187815?\nAnswer: -7716232*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 81 = -16. Let y = -0.049 - -0.349. Which is the nearest to 1? (a) -47 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2242821 + 2*c + 2242821.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659657 is divided by 329731?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -57, 1\/216, -2, 0.2, 7?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 4655.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*c - 5*z - 5 = -59*c, 0 = 3*z - 12. Solve 22*g = c*g - 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - -1. Suppose -o*d + 476 = -36*d. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/133*2\/((-12)\/(-6)). Which is the nearest to x? (a) -2 (b) -5\/3 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, n: 1, z: 1, a: 7, r: 1}. What is prob of picking 1 r and 3 a?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*l + 21*l + 23 - 20)*(-4*l + l + 2*l) to the form p + h*l + y*l**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 - 1953*j**4 + 3 + 1578*j**4 - 3 + 3*j**2 + j to the form y*j**3 + z*j**4 + n + u*j**2 + b*j and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -3)\/((-36)\/(-2) + -19). Solve 3*i - 11 = 4*w, -k*w - 5 = 48*i - 49*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 192 = -3*p. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(204)\/(-5*sqrt(12))*2 - ((sqrt(2057) + 4 + sqrt(2057))**2 + -2 + sqrt(2057)).\nAnswer: -8245 - 937*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 3*n. Let g be q(2). Let t = -3704 + 3709. Suppose g*y + t = 7*y, 0 = -o - 3*y. What is the nearest to -5 in o, -1\/2, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 + f + 2. Let u(t) = t**3 - t**2 + t + 1. Let l(c) = s(c) - 3*u(c). Let q be l(-1). Let x = -67\/40 + 9\/5. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18*v + 3. Suppose 3*t - 4*g = -382, g + 12 - 16 = 0. Let n = t + 161. Calculate the remainder when p(-4) is divided by n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1201 at least as big as 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = -2*r. Let d(z) = 7*z**2 + z**3 + 0*z**2 - 7 - z - 8*z. Let s be d(r). Put 2, -3, s in decreasing order.\nAnswer: 2, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51070 or -4329?\nAnswer: -51070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/11 in 2, -8, -3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 2*q - q + (4 - 2 + 0)*(-q + 2*q + q) + 2*q + q - 4*q)*(-q + 4*q + 0*q) - 6*q**2 - 2 + 5*q**2 - 4*q**2.\nAnswer: 10*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 5*m + 3*b + b, 4*b = 4*m - 240. Suppose 0 = -3*g + j + 337 - m, -4*g + 2*j = -376. What are the prime factors of g?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6 + 11\/(-66))*10. Let o(f) = -f**2 + 7*f - 1. Let g be o(6). Let v = g + -2. Solve p = v*r - 1, 5*w = 3*r + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/60 - 11*l**4\/24 + 4*l**3\/3 + 29*l**2. Let b be p(-12). Let j be b*1 + 27\/6. What is the nearest to j in 2, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4) + (-11)\/(-2). Suppose 3 + 12 = 5*c. Solve -c*v - h = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8727340.\nAnswer: 2, 5, 89, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/6399 and 53\/11394486?\nAnswer: 34183458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*n + 24*n + 51*n + 36*n.\nAnswer: 62*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 230136.984ms in days?\nAnswer: 0.0026636225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 716325?\nAnswer: 7879575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -3112.\nAnswer: -3111.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 0.4, -10, 40 in decreasing order.\nAnswer: 40, 0.4, -10, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*v + 2*f, -32*f + 13 = 4*v - 33*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10\/11 + -52\/33. Which is bigger: m or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001111101100010111 - -11?\nAnswer: 1100001111101100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 + 8 = 0. Let g = -7 - -12. What is the lowest common multiple of g and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 53*w**2 - 3598*w - 184373. Calculate i(-52).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - -3) + (-6 - -14). Find the third derivative of -26*k**2 - 59*k**2 - 35*k**5 - 32*k**c - 35*k**5 - 109*k**2 wrt k.\nAnswer: -6120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 10. Sort -1, d, 3.\nAnswer: d, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -7\/3, 2, 5?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gam when three letters picked without replacement from {t: 4, g: 2, m: 1, a: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147 take away 72876859038?\nAnswer: -72876861185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g + 0*g)*(-3 + 3 + 3*g) + 2*g**3 + g**2 - 3*g**3 + g**2.\nAnswer: 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 6*u**2 + 42*u - 105. Give k(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 17. Let u be (-2)\/k*0\/2. Solve u*y - 16 = -4*y - 3*n, y + 4*n - 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let g(p) = 515*p**2 + 3861. What is g(d(l))?\nAnswer: 515*l**2 + 3861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j. Let f(v) = -383*v**2 - 2*v**2 - 544*v**2 + v**2 + 22*v**2. Give f(o(s)).\nAnswer: -73386*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -432 - -5?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:13 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 7:45 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411099569 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -15*p**2\/2 + 6. Let a(f) = -f**2. Calculate a(j(y)).\nAnswer: -225*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2 + 6*w + 4. Let p(h) = -7*h**2 - 7*h - 5. Let k(c) = -5*p(c) - 6*y(c). Let r(s) = 4*s**2 + 4*s - 5. Let t(j) = -3*k(j) - r(j). Factor t(f).\nAnswer: -(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.25 (b) 4 (c) 57 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (2 + -3 - 6). Let s = z + 11. Determine j so that 10*j**3 - 2*j**2 + 15*j**4 - 6*j**s - j**3 + 2*j**2 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1321536 - 1311980.61. Let z = t + -9555.5599986. Let b = 0.17 + z. What is b rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460816664 divided by 154?\nAnswer: 2992316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13452 and 24?\nAnswer: 26904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.4 - 1.4. Let y = 7.1 - m. Suppose 6*z - z - 4*s = -25, 4*z = 3*s - 20. Which is the closest to y? (a) -1\/6 (b) z (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**5 + 0*f**5 - 3*f**5 + (f**3 - 3 + 3)*(-f**2 - f**2 + 4*f**2) + 3*f**2 - 5*f**2 + f**2 - f**5 + (-240 + 126 + 125)*(-f**5 + 3*f**5 + 0*f**5).\nAnswer: 13*f**5 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -37383 (b) -5\/2 (c) -2\/3 (d) -1\/4 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpp when three letters picked without replacement from lvplpppplll?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.281212280234 - 37.\nAnswer: -36.718787719766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (2 + 0) - 4. Let d be q\/(-22) - 10\/55. Suppose d = -f - 55 - 13. What is f rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u - 116. Let l be q(-16). Solve l = 4*g - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 - 64 + 40)*(-5*b + 2*b + b).\nAnswer: 184*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*t - 762112 = 220*t. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(sqrt(98)\/(-6*1*sqrt(7)))\/(sqrt(28)\/sqrt(4)*-2 - (-2*sqrt(700) + sqrt(7))).\nAnswer: -4 + sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 0. Let m = 42 - f. Suppose 0 = -s - m*s - s. Solve -2*u + 5*z + 13 = s, -5*u + 2*z = 3*z + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**2*n*w**2 + 22*b**2*n - 10*b**2 + 4353*b*n*w**2 - 92*b wrt w.\nAnswer: -8*b**2*n*w + 8706*b*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4*5\/40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 8. Let g be v(-4). Let i be -15*(65\/(-15) + g). Let r be (-30)\/18*(-1)\/i. What is the third smallest value in 3, 1\/6, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4570 and 393934.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert c39 (base 14) to base 6.\nAnswer: 15043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21091349189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**3 - 25*d**2 + 230*d - 200 = 0 for d.\nAnswer: -10, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193678 is divided by 51899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 602 - 3*h**2 + 2*h**2 + 6646*h - 6646*h to the form v + a*h**2 + l*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -575, -2 in increasing order.\nAnswer: -575, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -13*v**6\/12 + v**5\/30 + 5*v**4\/12 + 3*v**3\/2 + v**2 + 36. Is y(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12205 is divided by 259.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3729766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 15) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15632*a + 43. Is l(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 59 + (-5)\/(5\/2). Let n be (4\/6)\/(2\/p). Suppose -l - l + 5*o + n = 0, 0 = -4*o + 20. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*q + 4*w + 4, -2*q + 5 = -5*w. Let x be -6 + -6*(-2)\/4. Sort x, -4, q.\nAnswer: -4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Let x(a) be the third derivative of a**4\/6 - a**3\/3 + 3*a**2. Let r(j) = 2*i(j) + x(j). Let z(n) = -4*n**2. Give z(r(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 3*b - 3. Suppose 2*t = -3*t + 5, j + 2*t + 1 = 0. Let f be h(j). Let u be (f\/90)\/(4\/16). What is the biggest value in u, 3, -0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 28753 + 28753.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.742993371 - 3.743. Round y to 7 decimal places.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**4)\/(s**(-2\/5)*s))\/(s**(-9))**(16\/7) assuming s is positive.\nAnswer: s**(874\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 23*s**2 + 51*s + 1. Calculate the remainder when 632 is divided by j(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 - -2.5. Let l = j - 0.8979. Round l to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-28) + (-792)\/(-672) + 162\/(-360).\nAnswer: -3\/140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*k*v**3 - 2*k*v + 183*k - 39467*v**3 wrt k.\nAnswer: 7*v**3 - 2*v + 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:07 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -1.1 (c) 24 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0154*5\nAnswer: -0.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 1975001*u**4\/24 + 2*u**3\/3 + 12*u**2. Let m be h(-4). Round m to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90, 68, 46?\n\"Answer: -22*w + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.8. Let b = 11203.8 - 11204. What is the nearest to q in b, 4\/3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 158. Suppose 74 = -19*r + 20*r - 5*p, 4*r - 3*p - 194 = 0. What is the remainder when d is divided by r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -4, -18, -54.\nAnswer: -54, -18, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 12*f - 120. Suppose -10*d + 6*d - f = 0. Let s = -20 + 15. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 0.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 59. Is (-2690)\/(-15) + h\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -23. Let h = 73675 + -73675.3. Which is the smallest value? (a) s (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 19 - (-6 - -20)) + 5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152170805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/24*9\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -21. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 7. Let z be a(6). Let u = z + 1. Is 3\/3*67 - u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691571 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5e19 (base 16) to base 8\nAnswer: -57031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 - 400*h**2 + 262*h - 803. Give r(-134).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -73?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + 5 + (-2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(sqrt(832) + 1) + -1 + (sqrt(832) + -4)*3*-1)**2 + 4.\nAnswer: -960*sqrt(13) + 30056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 765122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 2 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-10)*220\/198. Let m be (2\/(7\/(-7)*2))\/2. Which is the smallest value? (a) m (b) w (c) -2 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r**3 + 7*r**2 - 5*r - 5. Let s(c) be the third derivative of -c**6\/120 - c**5\/60 + c**4\/24 + c**3\/6 + 101*c**2. Give -l(b) - 5*s(b).\nAnswer: -4*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0\/t**2 assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 59, 186, 437, 854, 1479, 2354?\nAnswer: 3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -62299.\nAnswer: -3\/62299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104322512?\nAnswer: 2, 7, 29, 32119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)\/(sqrt(7) - sqrt(84)\/sqrt(3)))\/((sqrt(396)*-2*2 + sqrt(396))\/sqrt(11)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 51. Suppose -2*w + 6 = -h + 17, x = -3*w - 2*h. What is the common denominator of -49\/8 and (2\/w)\/(30\/366)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 44*j - 10. Let f(t) = -29*t + 7. Let l(p) = 5*b(p) + 7*f(p). Let u be l(2). Let s = 77 - u. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0 = v + 4, 0 = -2*r - 5*v - 20. Suppose u + 2*u - 4*t = 5947, r = 4*u + t - 7942. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 15*w**2\/2 + w - 2827. Suppose -2 = -5*l + 3. What is k(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - k**2 + 2*k - 1. Let u(g) = 2*g**3 - g**2 + 3*g - 2. Let q(z) = 2*u(z) - 3*y(z). Let w be 0 - (0\/(-2) + -1). Calculate q(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {p: 3, d: 2, h: 6, n: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 + 173*i\/6 + 3770.\nAnswer: -(i - 260)*(i + 87)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 6995541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30194757 is divided by 471793.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 3*s**2 + 0*s**2 + 2*s**3 + 0*s - 3*s - 3*s.\nAnswer: 2*s*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 159 = 2*m, 3*m + b - 2 = -243. Let y = 96 + m. What is the highest common factor of y and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14871 divided by 6.\nAnswer: -4957\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.82*-5457.\nAnswer: 4474.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 999 + 1551. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 3*o - 1. Let i be (0 + -3)*(-8)\/(-6). Let t be y(i). Let u = t + 3. Put 3, u, 4 in ascending order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-25)*5\/(-2) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -296 + 306 + 12 + 0 - 33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 427550554 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73564.\nAnswer: 2, 53, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 877 + -846. What is the remainder when 116 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r - 7. Let t(s) = -9*s + 8. Let x be -10*6*3\/(-12). Let o be (-80)\/x - 4\/6. Give o*t(i) - 7*a(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1143\/5334)\/((162\/48)\/(-1)).\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2. Let l(u) be the second derivative of 0*u**2 + 1\/3*u**3 + 0 - 33*u. Determine l(y(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9133*w + 14 = -9141*w - 2*b, 0 = 3*w - 4*b - 47 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6728.608ml to litres.\nAnswer: 6.728608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 264556343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - m = 7, -5*f - 5*m - 10 = 5. Let d = -6 - -8. Suppose -4*x + 4 = d*h - 6, 2*x - 10 = -2*h. Solve x = j - f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(8\/11)\/l*l)\/l**(-17) assuming l is positive.\nAnswer: l**(206\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/39457?\nAnswer: 4\/39457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 5)*(10 + 3 + 5)*((0 + 0 + 3*j)*(0 - 5 + 4) - 2*j + 2*j + 5*j + (-2*j + 4*j + 0*j)*(0 - 1 + 2)).\nAnswer: -504*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1 + 2 + 3 + 3*w**3 - 4*w**2 as m*w**3 + l*w + h*w**2 + d and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -155443223, -155443222, -155443221, -155443220, -155443219?\n\"Answer: g - 155443224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -385 + 554. Suppose -o*j + 175189 = -162*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -27. Let w be c\/2*108\/(-6). What is the highest common factor of w and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d - 2*d)*(3 - 5 - 2)*(-7 + 1 + 5).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*r - 4 = -2*k - 118*r, -4*r - 37 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(700) + -1 + -1*sqrt(175))**2 - (sqrt(112) + -4 - sqrt(35)\/(sqrt(5) + sqrt(125))).\nAnswer: -95*sqrt(7)\/6 + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1250704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by 54.\nAnswer: 31\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -34253.\nAnswer: 10275.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**2. Let x(i) = -31141*i**2. Give x(j(u)).\nAnswer: -3114100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873 = 272*j - 215 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60660.55km to centimeters.\nAnswer: 6066055000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*v - 19*v - 36*v to the form c + l*v and give l.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-g + 2*g + 2*g)*(0 + 25 - 3).\nAnswer: 132*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + -2) - 6 - (-4 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -737 smaller than -704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.11 - -9. Let l = n - 3.89. Let q = l - -4.5. Sort q, -0.5, 3.\nAnswer: -0.5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233016*m + 466071*m - 232973*m.\nAnswer: 82*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 1)*58\/1421?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 177*a**2*n**3 + 3010*a**2 + 143*n**4 + 2 wrt n?\nAnswer: 531*a**2*n**2 + 572*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23744 and 0.02816.\nAnswer: 668.63104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1223395.6383423 and 0.1?\nAnswer: 1223395.5383423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 6592680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758 + 737 = -21*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5595?\nAnswer: 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/4, 550, -4, 15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1344, 395, -552, -1497, -2440, -3381?\nAnswer: -4320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 599285?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-68250)*-75)\/(2*1\/(-40))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**2\/l)**(1\/8)\/(l\/(l**(-2)*l)*l)**(-3\/26))**(24\/5))**31 assuming l is positive.\nAnswer: l**(4557\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 6*z = 47, 302*z = 318*z + 48 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqkqqqvqnquqquqkqvu. Give prob of sequence kqq.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -209*g**2 + 66*g. Let a(n) = -16*n**2 + 5*n. Suppose -t + 74 = -s + 6, t = -4*s - 262. Calculate s*a(j) + 5*r(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-207)*(-6)\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (106\/212)\/((-1)\/(-12)) + 0 + -5. Solve 4*b + t = -3*y, 4*y + 1 = b + 5*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -160. Let g = -39 + j. Calculate the least common multiple of g and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 - (82824\/(-3762) - -9). Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36 + 6\/(6\/(-3)). Suppose s - 109 = -4*v. What is the remainder when 37 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225.51 + 231. Let j = -0.49 + w. Let o = -3.4 - 0.6. Put j, 0.4, o in decreasing order.\nAnswer: j, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, t: 4, a: 5}. What is prob of sequence tt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 3 + 1*sqrt(72))*-6)**2.\nAnswer: 2592*sqrt(2) + 10692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3321319308 take away 1.81719?\nAnswer: -3321319309.81719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -4*v. Suppose 7*k - 2*k = -2*t + 1665, v = -4*t + 20. List the prime factors of k.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(936)*-6)\/(sqrt(450)*-2 - sqrt(450)))**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + y**2 - 9*y + 8. Determine p(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = n - 4*m, 20 = 3*m + 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - r - 16 = -2*r, 5*r = -10. Let u(q) = 2*q**2 - 8*q - 7. What is the lowest common multiple of u(5) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/80 and 39\/128530.\nAnswer: 1028240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -21. Suppose -3*q = -3*u - u + n, q - 22 = -2*u. What is the smallest common multiple of u and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 6 + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/20)\/(2\/4). Which is the nearest to t? (a) 0 (b) -0.5 (c) -10\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*c - 34481 = -110*c + 175*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108636)\/(-633710))\/(3\/(-252)*2)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 44957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:24 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 279689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/40 - 1\/(-5). Calculate the remainder when 38 is divided by (m - 3)\/((-7)\/98).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58491523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64\/7, -235\/2, -1\/3 in descending order.\nAnswer: -1\/3, -64\/7, -235\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -21, -53, -107, -189, -305, -461, -663?\n\"Answer: -b**3 - 2*b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.6939755 + 21.14852. Let c = -0.545 - y. Round c to five decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 13. Let i be q(0). Let u(g) = 3*g**2 + 8*g - 8. Let v be u(i). Suppose 3*c - 4*c + v = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 30, 119, 300, 603, 1058, 1695, 2544?\n\"Answer: 5*v**3 + v**2 - 11*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.050761 and 0.27?\nAnswer: -0.01370547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.0182, 5, -0.4?\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 413*81\/(36288\/(-64))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3812265 or -3812494?\nAnswer: -3812265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 7 + 0)*((0 + 1 - 2)*(z + 2 - 2) + 10 - 10 - 2*z) in the form y*z + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 112*o + 7*o + 95*o + 4*o + 5*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 8*f**2 + 12*f + 6. Let a = -117 - -109. Let u be x(a). Let v be (177000\/u)\/((-1)\/6). Round v to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-243)\/63)\/(741\/(-1729))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 20*h**2 - 490*h - 2116. Calculate m(-9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3191863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -56, -5, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/32 - ((-6)\/8 - 2). Solve -5*x - 4*r - 30 = 0, 5*r + 22 = -c*x - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399855 bigger than 399855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -0.5. Let m = 228214 - 228212.30009. Let l = m + k. What is l rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2\/3129, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)*2)\/sqrt(5)*-3)\/(sqrt(4) - (sqrt(196)*1 - sqrt(196) - sqrt(196)) - (sqrt(32)\/(sqrt(8)*-1) + sqrt(4))) + 5.\nAnswer: -3*sqrt(13)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2041 and 471?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-3)\/45*-12. Let i = 0 - -1. Let u = 1 + i. Sort u, f, -1.\nAnswer: f, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.40138 - -0.00138. Let q be 3*2\/(-21) - 0. What is the smallest value in -24, q, i?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 18*r**3 + 7)*(-r + 5*r - 3*r) + 3*r**4 + r**4 - 2*r**4 - 4*r**4 + 3*r**4 + 5*r**4 - 3*r**4 + r**4 + 3*r**4.\nAnswer: 25*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-8)\/(-4))\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/2 + 931*n**3\/2 - 1859*n**2\/2 + 929*n\/2 = 0. Calculate n.\nAnswer: 0, 1, 929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 149, 1987\/5, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*k**5 - 19*k**5 - 25*k**5 + (-1 + 2*k**5 + 1)*(1 + 1 - 1) + k**5 - 3*k**5 - 26*k**5.\nAnswer: -94*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*y**2 - 148*c**3 - 417*c**2*y**3 + 9*c*y wrt y?\nAnswer: 2*c**3 - 2502*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.6 + -19.4. Let x = w + 33.0027. What is x rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/8)\/5*16\/(-6). Solve -2*d - 25 = -v*d - 5*g, -3*g = -9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 321840*j**2\/7 + 321842*j\/7.\nAnswer: -2*j*(j - 1)*(j + 160921)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9 + 3*j + 1321*j**5 - 19 - 604*j**5 + 2224*j**5 wrt j.\nAnswer: 58820*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18573 divided by 6\nAnswer: 6191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = -11*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 8*u**2 + 8*u. Let m be i(9). Let t be (-3)\/m*(-45)\/3. Let s = t - -26. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651758 is divided by 9178?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1826.702 * -6\nAnswer: 10960.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185800255.\nAnswer: 5, 71, 223, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6001.39 + 3\nAnswer: -5998.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7248?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361304 divided by 8.\nAnswer: 45163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and 4780.1.\nAnswer: -860.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5441*d + 28 + 11874*d + 9038*d + 15605*d.\nAnswer: 31076*d + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4150305 - -5?\nAnswer: 4150314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -15*r + 0*r - 11 + 8. Let c be h(-2). Let m = c + 13. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 4568.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 23 - 9 = 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - d - 4, -101 = 2*s - 3*d - 113 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 + 7*m**2 + 4593 + 4597 - 9190.\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.40000624. Round a to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*j**2 + 54 - 31*j**2 - 54.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + (sqrt(2736) + 0 + sqrt(2736) - (sqrt(2299)*-2 + sqrt(2299) + sqrt(19))) + -5*(sqrt(931)*-1 + sqrt(931)))**2.\nAnswer: -272*sqrt(19) + 21982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35368 is divided by 11756.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6334.9683 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176442 (base 11) in base 5?\nAnswer: 1434041201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h**2 + 6*h**2 + 1 + 8*h**2 - 29*h**2 in the form o*h**2 + g*h + i and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002980969087 rounded to 5 decimal places?\nAnswer: -0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 + (-7 - -1 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 311625*w**4 - 3*w**3 + 358751*w**2 wrt w.\nAnswer: 7479000*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 42887 = -42635 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5324130 is divided by 1707?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r. Let y(o) = -9000 - 14*o**2 + 9000. Give y(p(i)).\nAnswer: -686*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-803488)\/10290048 - 4\/762?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzv when three letters picked without replacement from zvzdvdddhvdd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 20 = -5*k, 2*o + 12 = k + 2*k. Suppose 0 = -18*j + 7932 - 1992. Let v be ((-4)\/5)\/(3\/j*-4). Solve 3*s - 5*u = k + v, 0 = s - 4*u - 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.838 take away -477.775?\nAnswer: 476.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 179261.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, f: 5, l: 3, k: 2, o: 2}. What is prob of picking 1 r and 2 l?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2) + 0)*5 - ((sqrt(12) - sqrt(192) - sqrt(12) - sqrt(12))*2)\/sqrt(6)) + (-3*(3 + sqrt(4)\/sqrt(2)) - (-6*(sqrt(8) + 0) - sqrt(8))**2).\nAnswer: -403 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*z - 23943 = 425*z - 453 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 2*d - 1. Let p be c(-1). Solve -2*t + 5*t + 12 = p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -337967688.6 and -34.\nAnswer: -337967722.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211 + 2*g - 44 - 167.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 23*j**2 - 111*j + 151. Is 19 a factor of z(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o + 0*o - 3*o)*(-1 - 1 + 0)*(-134*o - 141*o + 329*o - 109*o) in the form n*o + c + m*o**2 and give m.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10\/9*h**3 + 0*h + 0 + 4\/9*h**2 - 4\/9*h**4 - 10\/9*h**5 = 0. What is h?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Suppose -z*n = n. Suppose -o + 34 = -n*o. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(34)\/sqrt(162) - ((sqrt(17) + -1)*-4 + 0).\nAnswer: 1 + 37*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, g: 2, p: 4}. Give prob of sequence go.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40217838?\nAnswer: 2, 3, 29, 181, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -429*r - 145850. Calculate b(-340).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + x - 1. What is the units digit of c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*l = 170, -2*l + 156 + 44 = -5*m. Let n = m - -35. Put 5, n, 2 in decreasing order.\nAnswer: 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63\/5 - 416\/35. What is the nearest to 2\/13 in 1, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.97. Let o = -0.43 + w. Let g = -12 + 8. What is the third biggest value in g, o, 2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 570 - 2*2\/(-4). Suppose -g = -3*a + 827. Let l = a - 75. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -3 + 6391\/(-165).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-4)\/(-18) - (-8)\/9)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10412 and 7?\nAnswer: 72884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 36*s**2 - 239*s - 119. Calculate u(27).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 148*f - 592. Give k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1306, 2595, 3884, 5173?\n\"Answer: 1289*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4*p*p**0*p**(2\/17)*p*p*p**(2\/23)*((p\/p**(1\/4))\/p)**(3\/4)\/(p**(-2\/11)*p*((p*(p**(-3)\/p)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(839481\/68816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.948 take away 80?\nAnswer: -85.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27461\/7310 + -137\/43. Find the common denominator of 61\/918 and o.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23927826 - 0.86.\nAnswer: 23927825.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 7 + (-7 - -3). Let l(i) = 13*i + r + 12 + 6 + 7*i. Is l(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-140)\/(-80) + 78\/24. Solve x = -l*m + 1 + 3, 4*x = -4*m + 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208017521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i + s = 0, -5*s - 20 = 0. Let l(m) = -m**3 - 2*m**2 + 16*m + 2. Let b be l(-5). Sort i, b, -5 in descending order.\nAnswer: i, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 - 116. What are the prime factors of (-4)\/(w\/(-8) - (-49)\/106)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -162776, -325542, -488308, -651074, -813840?\n\"Answer: -162766*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-207 - -214) + 14\/(-2). Sort -3, v, -1 in descending order.\nAnswer: v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 0.216 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011122010222001101 - 10?\nAnswer: -21011122010222001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13444 or -13460?\nAnswer: -13460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 15*w - 21. Let u(p) = -8*p + 11. What is -6*m(s) - 11*u(s)?\nAnswer: -2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.257? (a) -220\/9 (b) 5\/4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49896 or 49903?\nAnswer: 49903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*c - 11*c - 10*c - 6*c - 11*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.5, 4\/11, 2, 68?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/1 + (5 - 1). Suppose -3*h + 180 = x*h. Suppose -o - 2*o = -h. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 1, 1101?\nAnswer: 1101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**8\/1680 + n**4\/6 + 7*n**3\/3 - 11. Let j(a) be the third derivative of k(a). What is the first derivative of j(d) wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/29, -0.139, -0.2 in descending order.\nAnswer: -1\/29, -0.139, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143653*n + 167102*n + 2*n**2 + 2*n**3 - 2*n**2 - 560261*n.\nAnswer: 2*n**3 - 536812*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -102, 3\/7, 2, 1.2, 1\/8, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -1, -25, 0.06, -0.1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 1.7. Let v = x + 1.5. Suppose -l + 2*j = -7, -4*l - 2 + 10 = -4*j. What is the closest to 1\/4 in 1\/4, l, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 118*t + 543. Does 13 divide l(176)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4 + 244*r**3 - 7682*r**2 + 14640*r - 7200 = 0?\nAnswer: 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 + 7056\/(-45). Let y = -315\/2 - f. Put y, 0.1, -10 in ascending order.\nAnswer: -10, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136463, -272889, -409315, -545741, -682167?\nAnswer: -818593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -437252233 minus 1671?\nAnswer: -437253904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2966 - -3061. Solve -14*k - 165 = -i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -508 + 513. Suppose 4 = x*o - 5*w - 11, 6 = -4*o - 2*w. Solve -2*y - 24 = -4*z - o*z, 0 = -y + 5*z - 27 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12830*g*o**3 + g*o**2 - 30248*g*o - 8*o**5 - 2*o**2 wrt o.\nAnswer: -76980*g - 480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 186\/5*m - 99\/5*m**2 + 3\/5*m**3 = 0.\nAnswer: 0, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j - 6. Let s(z) = -8*z - 5. Suppose -3*o - w = -54, 10*w - 5*w + 54 = 3*o. Let f = 0 - -6. Suppose o = f*x - 3*x. Calculate x*u(l) - 7*s(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33867?\nAnswer: 3, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1856*v + 3712*v - 1855*v - 15 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 18*d. Let o be b(1). Let q be 6\/o + (-1244)\/6. Let m be q\/(-36) - (-2)\/8. Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -200.03625 + 200. What is s rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 2*r - 9. What is h(10)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 4*k + 2*q, -3*q = 5*k - 6*q - 243. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11988 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*u = -20, 19*w - 14*w - 12 = -3*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:05 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -330 - -357.14. Let n = d + -2.54. Let r = 27 - n. What is r rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3698 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35278, 35276, 35272, 35266, 35258, 35248?\n\"Answer: -w**2 + w + 35278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*j**2 + 48*j**2 - 104*j**2 - 115*j**2 to r*j**2 + d + q*j and give r.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {m: 7, t: 1, i: 1, k: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0523 - 8.4277. Let j = t + 9.68. Sort j, -4, 4\/3 in increasing order.\nAnswer: -4, j, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90, 166, 196, 156, 22, -230, -624, -1184?\n\"Answer: -4*d**3 + d**2 + 101*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*((1*(sqrt(931) - (1*sqrt(931) + sqrt(931) - sqrt(931))) - sqrt(931) - sqrt(931)) + (sqrt(931) - 1*sqrt(931)*2)) + 3 + 2)**2.\nAnswer: -670445 + 4200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 6 + 7 + 2*j + 3*j**3 to v*j**2 + w + h*j + z*j**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e7015 (base 15) to base 5.\nAnswer: -141414040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 11*h**2 + 11*h - 10. Let l be z(10). Suppose -2*y + 0 + 2 = l. Let r(p) = 55*p + 2. What is the tens digit of r(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7446, -29852, -67196, -119478, -186698?\nAnswer: -268856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, v: 2, k: 10}. Give prob of picking 2 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3791437635?\nAnswer: 3, 5, 11159, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5 + -10)\/10)\/((-98)\/(-12)). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 30*s - 513.\nAnswer: 3*(s - 19)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8\/b)**(-1\/49)\/(b**(-2\/9)*b**(3\/17)) assuming b is positive.\nAnswer: b**(-104\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - 27 + 39)*(0*o + 3*o**3 + 0*o) to the form b*o**2 + a*o + k + g*o**3 and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**4\/8 - v**3\/3 + 4*v**2 + 12. Let o(l) = 10*l - 6. What is 7*c(q) - 2*o(q)?\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5863615 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -18*f + 484. Solve -f = 29*i + 145 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/2, -2\/7, -0.5, -4\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2794*a + 54 = 2*t - 2803*a, t - 13 = a for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1128754)\/33)\/((-2)\/1128). Let j be (488132 + 0)*156\/(-6). Let v = j + r. Round v to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 22*3\/(-60) + (-10)\/20?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 a when four letters picked without replacement from vaaav?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -397.1*0.05\nAnswer: -19.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 1. Let w(d) = -3*d**2 + 5. Let l(z) = z**2. Let a(u) = -2*l(u) - w(u). Let h(t) be the first derivative of a(t). Calculate r(h(k)).\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18024*i*o**2 + 775527*i - 311*o**4 + 3 with respect to o.\nAnswer: -36048*i*o - 1244*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 2*s - 24, 144*s - 59 = -11*d + 146*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(10\/7)*t**(16\/7)*(t**(3\/8))**(-16) assuming t is positive.\nAnswer: t**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*q*u*y**2 + 2*q*u + q*y + u*y**3 - 59*u*y - 20*u + 1297*y**4 + 2*y wrt y?\nAnswer: -124*q*u + 6*u*y + 15564*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 6*s**2 - 6*s. Determine n(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 78. Let a be q(24). Suppose -43 = -4*n + 65. Let s = n - a. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 + -74. Calculate the remainder when y is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*l**2 + 207*l**2 - 849*l**2 + 216*l**2 + 210*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180 + 175. Let p be 4\/h - 189\/45. Let l(f) = -f**2 - 10*f + 5. Let w be l(-10). Sort p, 6, 1, w.\nAnswer: p, 1, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w. Let x(h) = -68*h. Determine a(x(v)).\nAnswer: -204*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w + 11. Let j(s) = 9*s + 12. Let r = 389 + -394. Let h(q) = r*d(q) + 6*j(q). Give h(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) -4\/7 (c) -5 (d) 1\/5 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:38 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2 + 3 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*l + 4225*l + 1515 - 1515.\nAnswer: 4276*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2095*h**6 - h**2 - 1231*h.\nAnswer: 251400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*-2*sqrt(85) - sqrt(85)) + sqrt(85))*3)\/(sqrt(20)\/(2*sqrt(4)) + sqrt(605) + -2*sqrt(605)).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93567, 93571, 93575?\nAnswer: 93579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -792 - -792.3. Suppose -4*q + 2*q = 34. Let c = -12 - q. What is the nearest to 0 in r, c, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 1, h: 5, z: 7}. Give prob of sequence bwh.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.50873 minutes in seconds?\nAnswer: 1110.5238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10669\/10 - 1066. Find the common denominator of 79\/20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 3632 = -5*l - 6*x, -3*x = -2*l + 1455. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -481.7 + 459. What is z rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(9\/(-27))*(-1)\/((-24)\/264)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2700 is divided by 169.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 7*b**3 - 2*b**3 + b**3. Give v(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4 = 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37.62702 months?\nAnswer: 0.03135585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 218*r. Let a(c) = 207*c**2. Give a(d(t)).\nAnswer: 9837468*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = -2*q, 4*u = -q + 12. Suppose -3 = -2*d + d. Suppose d = -3*x - 2*t - 1, -t - 15 = -5*x. Solve 20 = -5*p - 5*b, u*b + x*b = -5*p - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 17*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from yhhyhxhuxyyxh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46106, -42692, -39278?\nAnswer: -35864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -v - 3*v - 8, 17 = 4*b - 3*v. Let n = -0.0061 - 0.2939. Let f = 63 + -62.8. Sort f, b, n.\nAnswer: n, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 19*o**2 - 22*o - 69. Let c be j(-18). Suppose -2*r - 5*t + 37 = -0*t, -2*t = c*r - 28. Solve -r*n - 10 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + 85*o**2 - 272*o - 34. Let b be u(39). Solve l + 20 = b*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 79\/4 + (-5)\/(-20). Suppose -4*i + 2*i - m = 0. Let q be 44\/10 - (-4)\/i. Solve -2*j - 6 = -5*s, 2*s + 0 = q*j + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*z = l - 6, -5*z = 2*l - 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 47 = 5*a, -5*a + 2*p + 15 = -34. Let z(y) = y**3 - y**2 + y - 3. Calculate the remainder when z(3) is divided by 3*(-2)\/a*-15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((2\/(-3))\/(-2)). Suppose j + 94 = 5*j + 2*a, 3*j - 2*a - 74 = 0. What is the highest common factor of m and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(3 - 3 - 2)*(-64*s - 3*s**2 + 64*s)*(347*s**2 - 771*s**2 + 375*s**2) + (1 + 2 - 4)*(-2*s**4 - 3*s**2 + 3*s**2) + s**4 + s**4 - s**4.\nAnswer: 297*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1214436 to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 13 = -2*q, 0 = 8*q - 4*q - 5*b + 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-34))\/(270\/(-765))*1\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3738\/(-2403)*2*(-3)\/(-12)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7178*r + 868567. Give u(121).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) 3 (b) 753 (c) 5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1809 by -707.\nAnswer: 1809\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -34*t + 35*t. Is 3\/(-1) - (-2870 - (-1 + t)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 42 - 134 = 0. Suppose 2*i + y = 6*i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 64*q + 91. Calculate the lowest common multiple of 91 and d(0).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.034? (a) -114.4 (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -26) + (-57 - -26) + 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 + 113. Solve m = -7*k + 11*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1828)\/36 - (-5)\/(45\/(-2)). Which is bigger: o or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 89, 128, 169?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5916*m**4 - 2*m**2 - 2*m + 143316?\nAnswer: -23664*m**3 - 4*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.99995. What is n rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -58.87 (b) -7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1.158.\nAnswer: 4.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3100 (base 4) to base 2\nAnswer: -11010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 - (-16 - -11 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 39\/20*g**5 + 19\/6*g**4 + 15 + 0*g**2 - 4*g + 0*g**3. What is the third derivative of y(o) wrt o?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a - 5. What is v(7)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-12 + 1908\/156) + 21446\/3315 + -6\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 47180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66 take away 1440849193?\nAnswer: -1440849193.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or -1\/60?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 3:41 PM?\nAnswer: 363","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 218 - 218.3. Let q = 2 + -2. Which is the nearest to 1? (a) q (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/256941 and -145\/3597174.\nAnswer: 3597174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*n - 1 = -3*n, 2*y - 7 = n. Suppose d = -2*d - y*k - 6, -d + 4*k - 2 = 0. Is d\/(-7) + (-24706)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*g + 15, -4*g = -3*j - 0*g - 20. Suppose 2*x + 1 = -3*c, 4*c + 4*x + 0 = -4. Solve j = 4*y + 13 - c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t + 3*y, 9 = 15*t - 11*t - y. Let n be 3\/25*2\/3. Is t at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/2)*q**(-2)*q*q\/q**0*q*q**(2\/15)*(q\/q**(2\/5))**(16\/3)*(q\/(q\/(q\/(q*q\/(q**0\/q)))))**(-2\/19) assuming q is positive.\nAnswer: q**(575\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-5*14)*4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o = -4675. Suppose 0 = -2*l + 3*w - 115 + o, 0 = -4*l + w + 1650. Let j = l - 1228\/3. What is the common denominator of j and -55\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -509*p**2\/2 - 37691449*p + 148100 = 0. Calculate p.\nAnswer: -148100, 2\/509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14362 and 568468.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3198 divided by -3?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clclccxxcccl. What is prob of sequence ccll?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 10. Let u = b + -29. Suppose -29 + 25 = 4*y. Put -5, u, y in descending order.\nAnswer: u, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17420656 - 17?\nAnswer: 17420637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4005070?\nAnswer: 2, 5, 157, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 46964964*v + 551426960880324.\nAnswer: (v - 23482482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 23270*t + 46533. What is y(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -878747, -1757495, -2636243, -3514991?\nAnswer: -4393739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**2 + 10*d - 1. Let l be b(5). Suppose 0 = -2*a - 80 + l. Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 47. Let q = -12 - l. Let d = 25 - 24.7. What is the smallest value in d, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3344 - -1?\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/60*(-282)\/47\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1.8. Let p = 23438 - 23438. Sort p, y, 0.01 in descending order.\nAnswer: 0.01, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30032, -30102, -30172, -30242?\nAnswer: -30312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - -2) + (-17 - 0 - -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/4 and -139\/48186820?\nAnswer: 48186820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42592173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*b + 195 + 243 - 54 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 28036330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - 1.4. Let i be (-9 - 7357\/(-819))*-9. Let n = -1\/47 + -134\/329. Sort c, n, i in decreasing order.\nAnswer: i, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(558\/15)*-1*6)\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 31 + 17 - 316*w as k*w + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.82527 * 0.86\nAnswer: 0.7097322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 470 (base 9) to base 15\nAnswer: 1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121*10\/1100*(-2)\/((-4)\/(-5))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f + 1. Suppose 3*v + 6 - 3 = 0. Give i(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 6. Let d be t(0). Is d less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/16 and -53\/23633424.\nAnswer: 23633424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 1. Let t be d(6). Let h(c) = -c**2 + 35*c - 168. Let x be h(29). Suppose t*v - 181 = a, -v + x*v + 5*a - 205 = 0. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -162, 12, 0.02, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 5058980 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r + 3. Calculate d(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3235 - 3223. Is n > 178\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115364996 to the power of 1\/2, to the nearest integer?\nAnswer: 10741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + b + b)*(-18 - 5 - 10) + 8*b - 7*b - 15*b - 1 - 8*b + 4*b + 0*b as u*b + l and give u.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -691 + 1155. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjs when three letters picked without replacement from {n: 1, j: 2, v: 1, s: 4, h: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -353 by 5.\nAnswer: -353\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 120 + 61 - 4*b - b - 43. What are the prime factors of u(0)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 824174 divided by 5.\nAnswer: 824174\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 188*g**2 + 2*g + 186*g**2 + 75 to x + d*g + f*g**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3723.675 - 3660. Let w = m - 0.075. Let t = w + -64. Which is the second biggest value? (a) 5\/4 (b) -0.3 (c) 5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615, 1109, 1249, 807, -445, -2735, -6291, -11341?\nAnswer: -18113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332384041.\nAnswer: 3, 13, 4600363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 114 (b) 2\/23367 (c) -0.04 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/221, -2, 2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4752 + -2003. List the prime factors of k.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkppppppppkppk. What is prob of sequence pkp?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttetttetteeettttet. Give prob of sequence eee.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4256*v**2 + 3318*v**2 - 1031*v**2)*(5*v + 2 - 2*v - 2*v + (0 + 0 - 2*v)*(1 + 1 + 0)).\nAnswer: -19629*v**3 + 13086*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 79.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) 2 (c) 4 (d) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28546 = 28555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*l - 2*l + l)*(3*l + 2*l - 6*l) + 2*l**2 - 5*l**2 + l**2 + (-l + 0*l - 2*l)*(5*l - 4*l + 3*l).\nAnswer: -19*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biinbnnbnn. Give prob of sequence nbbb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 50 (b) -1 (c) 3\/4 (d) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 426?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404703*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*u - 697 + 199 - 1224. Solve 0 = -3*t - b - 2, u*t - 5*b + 7 = 19*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -150\/13 (b) 4\/5 (c) 2\/7 (d) -15 (e) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -790 times -0.0605716\nAnswer: 47.851564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.322945l?\nAnswer: 322.945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990\/4025 + 12\/30 - 1551\/(-21)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 - 2*d + 2. Let z(g) = 37*g**2 - 14*g - 6823. Calculate -7*p(y) + z(y).\nAnswer: 2*y**2 - 6837","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33209 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 7*w - 5*w - 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*f - 5*v - 4, 0 = -v + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 784 divide 6343323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 23. Suppose 0 = 5*a + g + 4*g - c, 4*g - 8 = 2*a. Let q be a\/(-8) - (-22799)\/(-4). Round q to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 73*s - 37. Determine f(-5).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**9*h)\/(h*h**9))\/(h\/(h\/(h**(-1\/2)*h)*h)*h*h**(1\/4)))\/((h**(2\/5))**(-1\/3)*(h\/(h\/h**6))\/(h*h**(2\/15))) assuming h is positive.\nAnswer: h**(-329\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 3)*(-76*x - 2 + 2 - 74*x + 105*x).\nAnswer: -225*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288022.\nAnswer: 2, 7, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 58*y - 74*y**2 + 53*y + 74*y**2 + 5*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -298 - -301. Suppose -5*g - 2*r + 1296 = 0, 0 = -2*g + 4*g + o*r - 514. What are the prime factors of g?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + a - 59 = z, 4*a = -5*z - 304. Let y = z - -108. Suppose 0 = -i + 3*g + 13, 3*i - 5*i - 5*g + y = 0. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {e: 4, b: 3, k: 1, o: 2, j: 1}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*u = 0, 8 = -2*s + 4*u - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/4 - 5*a**3\/3 + 3*a**2\/2 + a - 58. Determine t(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**2 + 6818034*h**3 + 669*h + 4 - 6818024*h**3 - 2 wrt h.\nAnswer: 60*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j + 29*j = 40*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 - 3*d - 3. Let c be (-15)\/(4\/(-32)*6). Suppose 2*s - c - 12 = 0. What is the remainder when s is divided by a(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 2425?\nAnswer: -27\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 8375?\nAnswer: 3\/8375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*u + 147*u + 69*u - 292*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000578218818 rounded to seven decimal places?\nAnswer: -0.0005782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186209 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/36)\/(52\/(-234)). Sort 3, 5, 16, w, 0.\nAnswer: 0, w, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (9 - (8 + -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11124\/(-144))\/((-9)\/(-12)) + 33\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -3\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4\/96 - d**3\/8 + 9*d**2\/16 + 10*d. Factor a(g).\nAnswer: (g - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + 132 + 13*b - 27*b + 129 - 249 - 5*b**2. Determine m(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 4*s**2 - 5*s + 4. Let v be j(5). Suppose 0 = -i + v*b + 10, b = 3*i - 12 - 18. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 9)\/(3\/((-15)\/2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21408, -21409, -21412, -21417, -21424, -21433, -21444?\nAnswer: -21457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/((-12)\/4)*16\/40. Solve 0 = -3*a + 4*y + 8, 3*y = -5*a + 2*y - q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/13 - 480*g**3\/13 - 1866*g**2\/13 + 5180*g\/13 - 2832\/13 = 0.\nAnswer: -236, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*a - 3. Suppose 3 = m - a. Calculate the remainder when 16 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 280*d. Let n(h) be the third derivative of -h**4\/24 - h**2 - 440*h. What is n(a(w))?\nAnswer: -280*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 1:56 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 8:57 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 20*d**4 - 315*d**3 + 500*d**2 - 135*d - 70 = 0.\nAnswer: -1\/4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -15. Suppose 0 = -2*o - 3*o. Let q(l) = l + 1 - 4 + y + o*l. Calculate q(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8809.9 + 8810. Let i = 2407\/39 + -185\/3. Which is greater: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 500. Let k = -449.2 - m. Round k to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 5. Suppose m - c + 9 = 3*m, 2*c + 14 = 4*m. Let t be ((-3)\/3 + m + -4)*4. Determine h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -44*j + 1. Let f(o) = -24*o. Give f(b(h)).\nAnswer: 1056*h - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -0.5. Suppose n = 4*v + 19, 10*v - n - 1 = 11*v. Which is the nearest to j? (a) 0 (b) v (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.1 - -10. Let n = -1.5 - s. Let w = -109 + 111. Which is the second smallest value? (a) -5 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*(-1 + 1). Suppose -3*a = 2*t - 19, -5*t + 37 = -g*t + 4*a. Suppose -4*p + t = -15. Solve p*k = 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 7*q**6\/120 + q**5\/60 + q**3 - 36*q**2. Differentiate r(i) wrt i.\nAnswer: 21*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4095*b = 4066*b + 986 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*n + 45. What is the second derivative of -z**n - 208*z**4 - 101*z - 165*z wrt z?\nAnswer: -2508*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -134 (b) 0.4 (c) 4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.10252028 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5 - 156*p**4\/5 - 96*p**3 - 528*p**2\/5 - 144*p\/5 = 0.\nAnswer: -6, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 723 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -599195 not equal to -599195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -z - 5*d + 132, -d = -z + 147. Suppose -4*p = -z - 14. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (68 - 6)\/(-3*(-3)\/216). Let z = 677 - x. Round z to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -79 - -2 - 2. Suppose i = 5*k + 4*m, -4*k + 64 = -3*m + 7*m. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 67180\nAnswer: 67183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6\/10 + 0 + (-5376)\/(-40) and 105?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19005356\/927 + -20502. Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5 + 64*k**4 + 4352*k**3 + 36936*k**2 + 94212*k + 61560 = 0. Calculate k.\nAnswer: -19, -6, -3, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/13))**28\/(i**10*i*i**(1\/3)) assuming i is positive.\nAnswer: i**(-358\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -198\/5. Let w = n + 9\/10. Let z = 6.6 + -7. What is the second smallest value in z, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvlrvlvilililvlllr. Give prob of picking 4 l.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*s, -6 = -n - 2*s - 2. Suppose n*c + 1575 = 15*c. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9453 and 7124.\nAnswer: 491556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2737 and -13\/782.\nAnswer: 5474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p + 40*p = -50*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3) - sqrt(192)\/sqrt(4)))**2.\nAnswer: -6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**3 + t**2 - 2*t + 6. Calculate g(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3512 is divided by 1141?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 68, -2, 0.038?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 105 = -2*h - j, 0 = 5*j - 5. Is 26 != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 4)*-2*1.\nAnswer: -6*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(4590\/696) + (-762)\/2159?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:02 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by -758.\nAnswer: 112\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from {a: 4, i: 1, j: 2, x: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 2, 2\/27, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -17 + 10 - x**2 - 6 + 15*x. Calculate the remainder when 126 is divided by c(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*2\/10*(-80)\/(-1060)?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -54, -8, -10 in increasing order.\nAnswer: -54, -10, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3194 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -58568\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -743, -1291, -1839, -2387?\nAnswer: -2935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 = -8. Sort d, -1, -0.2 in descending order.\nAnswer: d, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 5*q - 2. Let k be j(4). Let r(f) = 3*f + 4. What is the lowest common multiple of r(k) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16417 + -742. What are the prime factors of q?\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, -3, 5, 1.15, 0.3 in increasing order.\nAnswer: -155, -3, 0.3, 1.15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456 times 38794?\nAnswer: 95278064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*f - 2. Suppose -9 + 0 = -3*w, f*w + 30 = 5*g. Which is bigger: 8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 10*t = -20. Suppose -2*b = -t*d - 5*b - 16, -5*b = -5*d. Let g(v) = -45*v - 2. What is the remainder when g(d) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 15 - 20 = -k, -3*k + 121 = -4*i. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -37, 0.2, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r*r*r**(-1\/4))\/(r**(-2))**(-1\/10))\/(r\/(r*r\/((r\/(r**6\/r))\/r)*r)*r*r**1*(r\/r**(-6))\/r**2) assuming r is positive.\nAnswer: r**(113\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, i: 5, o: 4}. Give prob of picking 3 x and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -9, 0.14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in -0.033, -1\/10, -0.2, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*k - 5, 4*k + 36 = 4*l + 16. Suppose 32 = 5*r - 0*u - 2*u, -5*r + 34 = -l*u. Suppose 0*n = 2*n - r. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 32. What is i(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from owwowowwooww?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 601 - 3*v + 2280 + 320 + 1662 - 1652 as y + n*v and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 455*z**2 - 2883*z + 2709*z**2 - 2887*z + 5770*z to the form r + i*z + c*z**2 and give c.\nAnswer: 2254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 2651481?\nAnswer: 5302962","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 35660 - 35655. Solve 107*q = 111*q + 5*k - 3, -2*k - 12 = -u*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2301 rounded to 1 decimal place?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 1030*r**3 + 2065*r**3 - 1027*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 7. Let j be (1 + f)*6\/(-4). Is (j\/(-9))\/(1\/(-291)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-18) - 272\/(-3). Let x(j) = 3 + o*j + 2 - 26*j. Is x(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-80)\/(-36) + 2\/(-9). Suppose -g - 4*g = 2*x - 6, -3 = -j*g - x. Suppose 13*t - 4*t - 27 = g. Solve 0 = -s - 0 - t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6586.352 kilometers to meters.\nAnswer: 6586352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 818 + 2164 = 5*n + h, -1779 = -3*n - 4*h. Suppose -2*p - p + n = 0. Let w = p - -320. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 6909.\nAnswer: 6909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 112500.\nAnswer: -1\/37500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 69*p + 0 + 2*p to x + b*p and give b.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3*g + 5. Let w be q(5). Solve -5*v - w = -4*h, 5*h - 11 = 2*v + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppd when three letters picked without replacement from {y: 5, d: 4, p: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182141971 - 848861971 = 12*z. Round z to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*i**2 - 289*i**2 - 61*i**2 as r*i**2 + o + w*i and give r.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**3 + 2*a**2 - a - 3. Let b be u(-1). Let n(y) = 3*y - 8. Determine n(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen eighths of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjdd when four letters picked without replacement from jjddj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 10. Find the first derivative of 15 + z*d**3 + 0*d - 7 + 0*d wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*z = 2*i + 1283, -z + 1271 = -5*i. Does 51 divide 60\/5*i\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m = -55*m. Suppose 4*r - 12*r + 72 = m. Solve 0 = -3*u - 0*u - r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5255? (a) 16 (b) 4 (c) -2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 2818191221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(935\/(-66) + 15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19905, 39612, 59319, 79026?\n\"Answer: 19707*i + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-21)*98\/532.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18629 is divided by 380.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b1 (base 15) in base 11?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f**2 + 7*f - 7. Let j(c) = -3*c**2 + 2*c - 2. Give -14*j(b) + 4*w(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/60 + n**4\/24 + n**3\/2 + n**2. Let v be b(0). Suppose 5*i = -v*k - k + 96, 4*i - 24 = -k. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8813586*o**2 + 78*o**4 - 8813586*o**2 + 124*o)*(1 + 3 - 3) in the form x + i*o**2 + r*o + n*o**3 + p*o**4 and give r.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + -33) - (44 - 34).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - -45. Let v(p) = -p**2 + 16*p + 8. Let g be (9 + 1)\/(2\/3). Calculate the remainder when t is divided by v(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Suppose -6*h + 5*f + 20 = -w*h, 0 = 4*f + 16. Solve -2*q + 4 - 12 = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*2\/8 + 2. Let z(f) = 3*f**2 + 3*f - 4. Let q be z(1). Which is greater: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 7*m**5\/4 - 453051*m**4 + 15014807*m**3\/4 + 15144347*m**2\/2 + 2071029*m - 1294390 = 0.\nAnswer: -1, 2\/7, 10, 258878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 13137974*f\/3 - 39413868.\nAnswer: -2*(f + 9)*(f + 6568978)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 - 9) - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88474.\nAnswer: 2, 31, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(825)*3 + sqrt(825))\/((sqrt(12)*1 - sqrt(12)) + sqrt(12)).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004995864 to seven decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33\/358 + 6202\/8055. Find the common denominator of g and 16\/55.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**4\/24 + j**3\/2 + 288*j**2 + 2*j - 2. Let o(f) = f + 1. Determine 3*g(t) - 6*o(t).\nAnswer: -9*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1105645941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79.137 + 79. What is r rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2 - 463545*w - 6490218 = 0.\nAnswer: -14, 154529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*b + 65*b - 71*b)*(11*b - 11*b - 2*b**3) + 3*b**2 + 3*b**4 - 2*b**2 - b**4.\nAnswer: -108*b**4 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 639\/60*3\/(108\/8) and -83\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 659*n + 17*n + 6.\nAnswer: 676*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) -2\/27 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2230099, -4460217, -6690359, -8920537, -11150763?\nAnswer: -13381049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 3. Let x be h(-3). Let s(a) = -a + 7. What is the remainder when 26 is divided by s(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1213000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 12*n + 5. Suppose t - 24 = -t. Let p be c(t). Let z = 7 - p. Solve -5*m + w = 1, -m - z*w - 7 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 408*k**2 - 2428*k - 35. Calculate v(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -35*t**4 - 605*t**3 + 8405*t**2 - 21175*t - 6750 = 0.\nAnswer: -27, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-4844356.\nAnswer: 29066136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 38, 63, 76, 71, 42?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-12)*-4)\/((-24)\/36). Let y be 3*(10\/3 - 1). What is the greatest common divisor of q and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1728 is divided by 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**2 + 2*q + 1. Suppose y + 29 - 26 = 0. Let d(n) = -2*n + 2. Determine y*d(b) + 4*r(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 35 - 641 + 46*a + 2*a**2 - 44*a - 191. Let r be h(0). Does r = -867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108936 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = -101*t + 38*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 14*f - 3 - 14*f + f**3 + (-f**2 + 3 - 3)*(4*f**2 + 2*f**2 - 2*f**2).\nAnswer: -5*f**4 + f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3030280 and 1771220.\nAnswer: 251513240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 218935831 and 0.2?\nAnswer: 218935830.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -35. Suppose 0 = f*v + 4*v - 42. Suppose -v*m = -2*m - 8. Solve -2 = m*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-91)\/3*(4 - -2)\/(-2). Let x = 95 - w. Factor 11\/5*s**2 + 1\/5*s**5 - 3\/5*s**x + 4\/5 - 12\/5*s - 1\/5*s**3.\nAnswer: (s - 2)*(s - 1)**3*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3\/3 + 143*b**2\/3 + 1020*b + 972 = 0.\nAnswer: -18, -1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28 - ((-36)\/3)\/(-4). Suppose -h + d + 68 = 0. Is h a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44376 and 843144.\nAnswer: 843144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2042)\/8)\/((-4)\/16)?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 - (-400)\/12. Suppose p = -p + q. Suppose 5*x = 18 + p. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(14)*1)\/(sqrt(448)*3).\nAnswer: -5 + sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120212110001 (base 3) in base 15?\nAnswer: -1c2714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 17*h**2 - 18*h + 16. Is j(-16) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44606?\nAnswer: 2, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Let c = 2 - g. Let r be (-4)\/c + (-2)\/2. Solve 4*k - r*k - 2 = h, -3*k - 9 = 2*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2*1*(-6)\/(-12)). Suppose 2*n = -s*m + 40, 2*n - 18 = -3*m + 19. Find the second derivative of 4*p + 5*p + 4*p + 14*p + n*p**2 wrt p.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (10\/25)\/((-5)\/495)*-15*50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 693250383 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 40. Let v be 330\/21 - 2\/f. Suppose -3*y = -4*d - 2*y + v, -2*d + 4*y + 8 = 0. Solve 4*r - 8 = -d*l, -2*r = -2*l - 5*r + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 6. Let p(w) be the third derivative of w**3 - 1\/6*w**4 - 1 - 277*w**2 + 0*w. Let a(t) = 2*t - 3. What is d*a(i) - 4*p(i)?\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b. Let j(n) = -n + 591. Give u(j(h)).\nAnswer: -2*h + 1182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34044676 to the power of 1\/2, to the nearest integer?\nAnswer: 5835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 7. Let r be h(4). Suppose -4 = o - y - 7, -o + 2*y = -6. Suppose -r*p + 0*p + 81 = o. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/3 - 22*t**2\/3 - 124*t\/3 - 56 = 0.\nAnswer: -14, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 10*q - 19. Calculate i(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*a - 40 = 182*a. Suppose 0 = -23*y + a*y + 5160. Suppose 2*c - y = -192. Calculate the highest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.8520627 and 0.06.\nAnswer: -0.231123762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 80151562.80909.\nAnswer: 80151567.80909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, 1 d, and 1 w when four letters picked without replacement from {d: 1, w: 1, a: 4, t: 5, i: 1, p: 1}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**5 - 3*o**5 + 3*o**5 + 6*o**5 + 7*o**5 - o**5 + (2*o**2 + 2*o**2 - 6*o**2)*(o**2 - o**3 - o**2).\nAnswer: 19*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m**5\/5 + 526152*m**4\/5 + 4325692876*m**3\/5 + 2162057238*m**2\/5 - 5406589976*m\/5 + 1622036184\/5 = 0 for m.\nAnswer: -16442, -3\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**2\/2 + 4*a - 7. What is the tens digit of n(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 896 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3 + 785*x - 1 + 1 - 8*x**2 - 692*x wrt x.\nAnswer: -12*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -4)\/(16\/48*9\/(-15)). What is the third biggest value in a, 6, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4649 rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.9 + 9.5. Let v = 48.4 + h. What is the nearest to -1 in -2\/5, 2, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 9 (b) 1\/2 (c) 0.06 (d) 9.8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (56\/(-8))\/7*-3*2. Suppose 43 = s*l - 5. Calculate the remainder when 55 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:31 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 3*q + 1. Let s be v(1). Let f be (1\/(3\/(-15)))\/s. Calculate the remainder when 10 is divided by f + 1 + (-1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12285\/504)\/((-10)\/(-12))*(-88)\/22?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p\/p**(1\/13))\/p)\/p)\/p**4)**(-7\/12))**(11\/4))**43 assuming p is positive.\nAnswer: p**(36421\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3682307*b - 2*f = -3682308*b + 29, 0 = -3*b + 3*f + 42 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/149364 and 53\/11?\nAnswer: 1643004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 50 + 173*c - 45 + 95.\nAnswer: -3*c**3 + 173*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-94499994)\/(-30) + (-5)\/(-25). Let s = 0 - 0. Suppose 0*t + 7*t - z = s. Round t to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15*g + 16. Let p(a) = -169*a**2 - 174*a**2 - 163*a**2 + 523*a**2. Determine l(p(k)).\nAnswer: 255*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00463644102 rounded to 6 decimal places?\nAnswer: 0.004636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1 (c) 2\/5 (d) -0.5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26934672, -26934673, -26934674?\n\"Answer: -t - 26934671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/30*(-282)\/(-4). Suppose -2*m - 61 = 15. Let v = y + m. Solve 2*w = -w + v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79073.\nAnswer: 107, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10085, -21412, -33977, -47780, -62821, -79100, -96617?\nAnswer: -115372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1258.31 - 1268. Let p = -9.68999533 - v. What is p rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2631, 2502, 2389, 2298, 2235?\nAnswer: 2206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 72*v. Let n be (9\/18)\/((-2)\/(-4)). Let y be u(n). Find the common denominator of ((-19)\/1)\/(y\/(-27)) and 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214 * -55.5954\nAnswer: -11897.4156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151.009 - -0.009. Which is smaller: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1148 - -1216. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235125 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tss. Give prob of sequence sst.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37835127 by 2817.\nAnswer: 13431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 6:07 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/10 - 1264*r**2\/5 + 2116253*r\/10 - 292962113\/5 = 0?\nAnswer: 706, 911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x + 12. Let c be q(-9). Suppose 0*t = -c*t + 969. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 951 equal to 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8322 is divided by 948.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 3:22 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/5 - 6\/2. Let o = 5 + f. Solve i - o*i = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 13 + 70 = 0. Let u = -11 + y. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103682.\nAnswer: 2, 47, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/79 - -49\/790. Let a be -5 + 210\/44 + 81\/(-297). Suppose 0*d = 2*d. What is the closest to a in m, -3\/4, d?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-19)\/(-152))\/(1\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119488 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5629103172 divided by 6.\nAnswer: 938183862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8 and 371\/(-44) - (-6)\/33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -436*p*w**2 - 5*p + 1294*w**2 wrt p.\nAnswer: -436*w**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -296*h**2 - 285*h**2 + 81*h**2 - 72*h**2 as o + u*h + v*h**2 and give v.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11143 - -11147. Which is the second biggest value? (a) t (b) -16.23 (c) -0.4 (d) 1 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(836\/2508)\/((-2)\/(-12)*1). Put 10, -1, w, 3 in descending order.\nAnswer: 10, 3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34653737 and 87.\nAnswer: 34653824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-25\/4)*m\/m**(-4\/23)*m*m*m**(-1\/43)*(m**(-32)\/m)\/m*m)**30 assuming m is positive.\nAnswer: m**(-2142135\/1978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 514?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + ((-22)\/(-18) - (-40)\/(-180)). Suppose 48*x - a = 47*x. Calculate the greatest common divisor of x and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22519\/9405 - -226\/171. Calculate the common denominator of h and -41\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 10*u**2 - u**2 + (4*u - 5*u - u)*(0*u + 0*u + u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264123.\nAnswer: 3, 29347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-32)*4*(270 + 4). Let u = b + -221. Calculate the highest common factor of u and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13023 - -332?\nAnswer: 13355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -61*1\/60. Let y(o) be the third derivative of 0*o**4 - g*o**6 + 0*o + 0 - o**2 + 0*o**3 + 1\/30*o**5. Find the third derivative of y(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/35)\/(6\/(-1866)). Which is greater: v or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518911 is divided by 360.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 77, 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190219360?\nAnswer: 2, 5, 11, 43, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:58 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 4*k = -7*k + 438*g - 873, 6 = 4*k - 6*k - 7*g + 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 13 - 5)*(-2*g - 3*g + 3*g)*(0 + 3 + 7)*(0 - 3 + 1).\nAnswer: 160*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 9:28 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 2555.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95115 by -2.\nAnswer: -95115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141338 and 1054.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 - 16*i**2 + 25*i - 8. Let h(f) = -10*f**3 + 40*f**2 - 62*f + 20. Let n(j) = 12*d(j) + 5*h(j). Solve n(m) = 0 for m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1338 = 3*v - 1365. Suppose 6150 = 4*w + w. Suppose -w = -a - v*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005347965 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/519 - -175\/519. Factor 0*l**2 + 0*l + 0 + 1\/3*l**3 + b*l**4.\nAnswer: l**3*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u**2 + 4*u - 12. Calculate the remainder when i(4) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -19 - -20 - (-4 + 1). Suppose 3*a + 0*a + 5*n = -23, -5*a - q*n - 21 = 0. Suppose 2*g - 7*g + 5 = 0, -2*j + 3 = 3*g. Sort 5, j, a.\nAnswer: a, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30243 - 54.\nAnswer: -30297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 4*p + 10. Let v be t(5). What is the units digit of 72\/v - (-8)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -84*p - 6467. Give n(-77).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8638.004mm?\nAnswer: 0.008638004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20669, -39839, -56021, -67721, -73445, -71699, -60989, -39821?\nAnswer: -6701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -2\/15, -0.29?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6)*84\/(-70))\/(21\/(-420))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/((-2)\/9). Let w(o) = -o**2 + 5*o - 3. Let a be w(z). Suppose x - 18 = -a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 769004220 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, 1\/3, 2, 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/4))\/t**6)\/(t**4\/(t\/(t\/(t**(2\/11)*t)*t*t)*t)))**34 assuming t is positive.\nAnswer: t**(-6783\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = l - 15, -2*g + 45 = 4*l - g. Suppose 2*k = -3*j + 4*j - l, 5*k + 29 = 4*j. Differentiate -v + j + 1 + 2*v - 4 with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2204*t**4 + 4*t + 152?\nAnswer: -26448*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15000 divided by 24\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/((-19)\/(-5130)*-25)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20582, -40503, -60426, -80351?\n\"Answer: -w**2 - 19918*w - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbf when three letters picked without replacement from {c: 4, b: 1, f: 1, k: 1, i: 2}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*l + 26. Let x be ((-372)\/l)\/(1\/(-7)). Let s = 399 - x. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1371 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31297 - -33355. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, 0.01, 0.2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -340027\/6 - -56671. Let n be (3\/4)\/((-15)\/(-8)). Let b = 0 + 0.5. Put 4, n, g, b in increasing order.\nAnswer: g, n, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2491863, -2491862, -2491861, -2491860?\nAnswer: -2491859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557*n - 28017 = 30468. Let m(l) = l**3 - 2*l**2 - 3*l + 3. Let k be m(3). Suppose k*u - 45 = -0. Calculate the greatest common divisor of n and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 23 = -4*q + 2*t, 4*t - 7 = -q. Let m(c) = -c**2 - 8*c - 12. Let h be m(q). Which is bigger: -5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194*v**4 - 2*v**3 - 536*v**2?\nAnswer: -4656*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564366 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3127121*s**3 + 20567419*s**2 wrt s.\nAnswer: -18762726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 + -1.4. What is the closest to 1 in 1\/6, 1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 3*h**2 + 2*h**2 - 113*h**2 - 30*h**2 - 31*h**2 + (-h - 5 + 5)*(-3*h + 2*h + 2*h).\nAnswer: -174*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + a**2 - 2*a + 1249. Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -130122012?\nAnswer: 130122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 4. Let n(m) = -m**3 - 10*m**2 + 12*m + 11. Let j be n(-11). Let z be r(j). Suppose 5*a - 20 = -z*v, -v = -3*v. Solve -4 = a*l - 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1287\/(-132))\/(666\/3552)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one quarters of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243) + -2*sqrt(243)*4 + 4*(0 + sqrt(243)))**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 + -214?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 787897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Suppose -r*b - 66 = -2*y, -y - 3*y + 120 = -b. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, 73, 232, 445, 706?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jahc when four letters picked without replacement from {c: 1, z: 5, x: 2, h: 2, j: 5, a: 2}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1012\/(-198)*(-3)\/57 and -137\/6.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407490400 rounded to the nearest 1000000?\nAnswer: -407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 132*t**2 - 225*t - 5789. Give p(134).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32618228 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 + 12 = 0. Suppose -30 - 3 = 3*o. Let i = 15 + o. Calculate the highest common divisor of i and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0117889643 to five dps.\nAnswer: -0.01179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220011 - 1011002?\nAnswer: -10001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*y = 16, -5*g = -g + 2*y + 26 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 divided by 90?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1293 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 10 = -3*k, 5*k = 5*x + 5 + 15. Solve 0 = -5*t - k - 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9*z = 5*k - 213, -2*z + 78 = 2*k. Suppose 394 = -k*j - 57. What is the second biggest value in -0.1, j, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-2 - (-4 - -6))) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrrq when four letters picked without replacement from {q: 5, r: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -0*z + k, -2*z - 3*k = -20. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244\/7 + -35. Let h = 11.82 + -7.82. What is the closest to -0.2 in 1\/9, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-1)\/1)*5. Suppose -3*k + 1 + d = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 0*t**2 + 5*t**2 + (-3*t + 5*t + 0*t)*(0*t + t + 2*t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3553, -3.\nAnswer: -3, -1, 1, 3553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680438221?\nAnswer: 7, 11, 21823873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2107076, 4213938, 6320800, 8427662, 10534524?\nAnswer: 12641386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69347061 is divided by 11557843.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1769 + -1774. What is the second smallest value in 1\/6, -1\/4, 8.2, -0.2, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)\/(i\/i**(-9\/2))*(i*i**(1\/5))\/i**8)**(-11\/4) assuming i is positive.\nAnswer: i**(2453\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11126 (base 11) in base 9?\nAnswer: -24102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76818.96201 rounded to the nearest ten?\nAnswer: -76820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 20*u**2 + 887*u - 887*u)*(-2*u + 5*u - 4*u + (5*u - 3*u - u)*(0 + 3 - 1) + 2*u + 5 - 5).\nAnswer: 6*u**5 - 60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0.2 (b) -1\/3 (c) 4\/729 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 17*d - 204. What is the remainder when 165 is divided by y(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5254 and 3?\nAnswer: 15762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z - 12. Let m(q) = 2*q + 6. Let j(u) = -3*b(u) - 7*m(u). What is the first derivative of j(y) wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*f**3 + 63*f**2 + 39*f**2 - 102*f**2.\nAnswer: 173*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**3 - 23*v**2 - 4*v - 31. Calculate the remainder when 76 is divided by q(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1120*p**3 - 997*p**3 - 2636*p**3 - 3107*p**3 - 3593*p**3.\nAnswer: -9213*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 15*o**2 - 106*o + 9. Let u be r(7). Solve u*h = -5*g - h - 24, g + h = -6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -14*n**3 + n. Let z be o(-1). Suppose 43*w - 41*w = 4. Suppose -w*k - z = -3*k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**4\/4 + 26*o**3\/3 + 6*o**2 - 21*o - 20. What is the hundreds digit of p(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 3*y**2 + 2*y - 3. Let d(l) = -l**2 - 4*l. Let h be d(-4). Let o(b) = 3 + h + 7 - b. Let x be o(8). Determine m(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**4\/2 + b**2\/2 + 6. What is the second derivative of z(x) wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -612035, -1224087, -1836139, -2448191, -3060243?\nAnswer: -3672295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 27 (b) 4\/3 (c) 2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -308*d**5 + 22160*d**4 - 321292*d**3 - 409568*d**2 + 702096*d + 107712 = 0.\nAnswer: -2, -1\/7, 12\/11, 22, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 2*k - 15 = 0, 2*k = -v - 3. Let n = v - -12. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u - 1. Let a be w(6). Let y = -27 + a. What is the least common multiple of 36 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15639 and 110643?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 66 = -3*w, 0*c - 2*c + 69 = -3*w. What is the tens digit of (-7)\/(w\/12) + 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347508371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2901873002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -12, -2*c + 6 = 4*q + 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*g + 29, -36*y = -37*y - g + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m**2 + 14*m**2 + 6*m**2.\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 22*t**3 - t**2 + t - 1. Let g be a(1). Suppose 7*i - 4*i - g = -4*u, 18 = 4*u + 2*i. What is the second biggest value in 1\/2, 4\/5, u?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32911450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2263 divided by -73?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)*(0 - 3). Let k be (3 - o) + 3 - 1. Which is the second biggest value? (a) -1 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2213, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*r - x + 24, 4*r - 13 = -3*x. Factor 7*o**2 - 17*o**2 + 2*o**3 + r*o**2 - 10*o + 6 + 5*o**2.\nAnswer: 2*(o - 1)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -6*l**5\/13 + 109006*l**4\/13 + 1017814*l**3\/13 + 1781354*l**2\/13 - 145360*l\/13 - 1017912\/13 = 0?\nAnswer: -7, -2, -1, 2\/3, 18177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**6\/720 + f**4\/4 + 2*f. Let n(o) be the third derivative of v(o). Let s(x) = 7*x - 3*x + 0*x. Give n(s(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-25)\/5*-6. Suppose -8*y + t = 134. Solve -y*p - 5 = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*u - 9. Suppose -3*v + 5885 = 5*b - 365, 3761 = u*b + 4*v. Let w = b - 616. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 184 = 2*d. Let u = d - -237. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f + 14*f**2 + 6*f - 19*f in the form s + o*f + a*f**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.8598 + 0.40906?\nAnswer: 49.26886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 317.0525 - 317. Let z = h - 231.0525. Sort 1\/3, z, 5 in increasing order.\nAnswer: z, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494219 at most 494210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -3*d - 5*s, 3*d + 4*s = 110 + 96. Suppose d = n + n. What is the remainder when n is divided by (-34)\/(-3) - 8\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + b + 5. Let p(l) = -6*l**2 - 79*l - 15. Give 3*j(s) + p(s).\nAnswer: -3*s**2 - 76*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -221, -220, -219?\n\"Answer: p - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 17*t**2 + 25*t - 1. Let x be d(18). Let j = x - 104. What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1.3. Which is the nearest to -0.2? (a) -2\/3 (b) -6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.295 * 4.1\nAnswer: -25.8095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*n + 34 - 251 + 79*n + 82*n - 251*n.\nAnswer: -4*n - 217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 - 1 - (-712)\/160 and 113\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-238)\/(-8))\/((-1)\/4). Let z(v) = v**3 - 66*v**2 - 286*v + 674. Let r be z(70). Let m = u + r. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 9. Suppose -l = l - u. Suppose 0 = q - l*t - 164, 3*q - 216 = -5*t + 344. Round q to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 t, and 1 v when four letters picked without replacement from rkvkvkkstktsvvkvv?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -9*t + 13*t - 20544, 5*t - 25673 = d. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15458 is divided by 7668?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 70*i + 2. Let z(h) = -127*h - 21. Let v(l) = -65*l - 11. Let u(p) = 19*v(p) - 10*z(p). Give -2*k(c) + 5*u(c).\nAnswer: 35*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10880\/(-1040) - (-24)\/52.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.8 - -0.175.\nAnswer: 7.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42 + -3)*(-18)\/45. Let w = -257 - -372. Let i = w - z. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-50)\/(-8))*(-5)\/2. Suppose q + 2 = -3*o, 3*o + r = -5*q + 4. Let t(d) = 6*d. Give t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43639194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702687 is divided by 245.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ca7 - -3?\nAnswer: 1caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*m - 142*m = -678*m + 53136 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*((sqrt(2000) + 4*sqrt(2000))**2 - sqrt(2000))*1 + -5) + 3.\nAnswer: -360*sqrt(5) + 899988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21531*t*v**2 - 2899*t*v + 2*t + 143119*v**2 + 28*v - 11 wrt t.\nAnswer: -21531*v**2 - 2899*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c - 1. Let w = 1 - c. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3349617622 rounded to three decimal places?\nAnswer: -0.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhhqkk. Give prob of sequence hhxk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25243 + -132440?\nAnswer: -103153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 5*b - 5 = u, b = 1. Let t(o) be the second derivative of 0*o**2 + 4*o + 5\/2*o**3 + u. Let v(m) = -7*m. Give -6*t(f) - 13*v(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.07 + -0.07. Let v = p + -9. Let z = -83\/145 - -5\/29. What is the nearest to -0.1 in z, 2, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.79 + -0.11. Let n = -17453.38 - -17455. Let l = o + n. Round l to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11420213402 (base 5) in base 12?\nAnswer: 4604704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 - 9*h + 40. Give q(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2697*q - 20589. What is i(6)?\nAnswer: -4407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9514 and -0.9?\nAnswer: -0.85626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*k**3*r**5 - 2*k**3 - 2*k**2*r**2 - 36*k*r + r**6 wrt r.\nAnswer: 8940*k**3*r**2 + 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1*(-3)\/(-3) - 88\/33.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - -0.68. Let g = -146.6 - -147. Let y = g - v. Are y and 8\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/6*((-4)\/(-5))\/(27\/108)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**5 + 15*v**4 - 3*v**3 - 15*v**2 = 0 for v.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, p: 4, t: 2, w: 5}. What is prob of picking 1 i and 2 p?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 112. Let r(w) = -2*w**2 - 74*w + 21. Let s be r(-37). What is the greatest common factor of t and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267 - 267.813. Let q = -0.8 - t. What is q rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+416\nAnswer: 415.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/13, -6, -2015, 0.3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57354*p**3 - 222*p**2 + 20201216*p wrt p.\nAnswer: -344124*p - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*u**5 + 5*u.\nAnswer: 180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003314 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/91)\/((-1)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnf when three letters picked without replacement from {j: 1, f: 2, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 60\/13 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 2*a**2 - a**4 - a**2 - 3*a**3 + 1 - 2*a**4 in the form j*a**4 + b*a + v*a**2 + f*a**3 + n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3 + 2 - 2 + 6*k - 3*k + 13*k**2. Let i be l(-2). Differentiate -3 - 2*p**2 + i*p - 49*p wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-16))\/(-3) - 12\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to -306\/56447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*c + 274*c**2 - 548*c**2 + 275*c**2 - 967*c.\nAnswer: c**2 - 858*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 5407?\nAnswer: 5403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-25)\/((-7125)\/(-1672))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - -2. Let t = d + -50. Suppose 230 = 8*y - 6*y. Calculate the greatest common divisor of y and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 i, and 1 n when four letters picked without replacement from {b: 3, i: 3, n: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 3*q**2 - 6*q - 9*q**2 - 3 - q**3. Let r be k(-5). Let j be (2 + -3)*(38 - 34). Put r, j, 2 in decreasing order.\nAnswer: 2, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vviv. Give prob of sequence vi.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y + 2. Let s(i) = 2 + 0 + 5*i - 4. Is s(y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781 + 361 = 20*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-16)\/7 - (-4)\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/77*195415\/18700?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 42196.79695 to the nearest integer.\nAnswer: 42197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z - 17*z + 11*z. Let n(v) = v. Determine i(n(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22546817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 5*y - 29, -2*u + 2*y - 79 + 59 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 360.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -648.15 * 0.1\nAnswer: -64.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 577*t**2 + 7*t - 8. Let o be a(2). Calculate the highest common divisor of o and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 take away -6978.69?\nAnswer: 7065.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 28*x**2 + 5*x. Let y(p) = 3*p**2 - 1. Let q(m) = 13*m**2 + 3*m + 2. Let c(s) = q(s) + 2*y(s). Give 8*c(t) - 5*i(t).\nAnswer: 12*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 3, i: 2, u: 1, n: 2, v: 4}. Give prob of sequence uiv.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4302 (base 5) to base 15.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, -60, -89, -116, -141?\n\"Answer: j**2 - 34*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1159915997 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 5:57 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**4 - 3*x**3 - 16222*x**2 - 1500268.\nAnswer: 8*x**3 - 9*x**2 - 32444*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2 + m**3 - 1 - 3*m + 0*m**2 + 2*m**2. Let i = -25 - -39. Let k = i + -12. Give s(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36451\/9 - -4050. What is the nearest to -35 in -0.2, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212132022 and 36.\nAnswer: 1272792132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46251 and 121475682?\nAnswer: 5139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*n + 55108, -u - 5*n + 7717 + 3299 = 0. Does 78 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/46)\/((-3)\/(-3))*120\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 230\/(-69) + 6 + -2. Let q = 96.5 + 6.5. What is the closest to z in 4, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 3, x: 4}. What is prob of picking 2 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1548 - 15.\nAnswer: -15.1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/(-90)*2\/12.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95391473 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 3506?\nAnswer: 53\/3506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -210, -423, -636, -849?\n\"Answer: -213*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 + (6 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*z = 300*z. What is the nearest to z in -1, -3, 50?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5933?\nAnswer: 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2376\/242*17952\/(-2176)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 685, -0.16, 1\/4?\nAnswer: 685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172021312 is divided by 906.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 40. Let y(d) = -1. Calculate -t(l) - 5*y(l).\nAnswer: -l - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -68*i**2 - 2. Let l(y) be the first derivative of 2*y**3\/3 + 263. Give n(l(f)).\nAnswer: -272*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000315033 rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l. Let a be j(-4). Let y = 27 - a. What is the greatest common divisor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7845759 and 81597?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2936 - 2930. Is x bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 22328 = 2742. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)\/(w*w**2))**(1\/19) assuming w is positive.\nAnswer: w**(-14\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 4*q + 34. Let i be g(8). Let h(o) = -2*o. Let p be h(i). What is the hundreds digit of ((-417)\/6)\/((2\/p)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/1*272\/272\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 28*j - 138. Let x be w(21). What is the highest common divisor of 24 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*r**4 - 2*r**3 + 67*r**2 wrt r?\nAnswer: -1896*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 63 = -7*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - b0b08b?\nAnswer: -b0b090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**3\/6 - 2*o. Let a(y) = 5*y. Suppose -5*h + 8 = -7. Determine h*a(f) - 12*z(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2376 and 183888.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5841 - -6310. What is the remainder when v is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9.05 or -105\/58?\nAnswer: 9.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/15))\/p**(-1\/26)*p**(6\/7)*p*p**(1\/4) assuming p is positive.\nAnswer: p**(16447\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 43010920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 2857 - 1766 = -1167. Calculate the least common multiple of 40 and o.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -354474419\/1047634 + -2\/74831. Let k = -339 - y. Calculate the common denominator of 3*(85\/54 - -1) and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 128.9453g?\nAnswer: 0.1289453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38dcc (base 14) to base 8.\nAnswer: -421230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.857 + 2.85054. What is h rounded to four dps?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4 + 45*m**3 - 390*m**2 - 320*m + 3360 = 0. Calculate m.\nAnswer: -14, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/(-28))\/((-5)\/60). Let a be 5*u*(-39)\/117. Solve -11 + a = 3*q, 0 = -3*w - 3*q - 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**(1\/15))**(2\/15) assuming a is positive.\nAnswer: a**(-4\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1579*k - 6314. Let s be r(4). Let l be 3\/(-5)*(-4)\/18. Put -4, s, l in increasing order.\nAnswer: -4, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(99) + sqrt(99) + 1*sqrt(99) - sqrt(11)) + -5)*-4 + 0 + -2)**2.\nAnswer: -1024*sqrt(11) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -40599 divided by -6915\nAnswer: 13533\/2305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l + h, -4*l + 5*h + 1 + 5 = 0. Suppose -5*b = -2*b - 6. Suppose -b = y + y. Is y < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(1\/2))\/f)\/(f\/((f\/(((f\/(f**(2\/7)*f))\/f)\/f)*f)\/f)))**(17\/5) assuming f is positive.\nAnswer: f**(85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 11*f + 22. Let x be u(-9). Suppose 244 = 3*g + 247. Put -6, -4, g, x in ascending order.\nAnswer: -6, -4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 - 20*v**4 + 8*v**3 + 40*v**2 - 4*v - 20 = 0. Calculate v.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6380\/928)\/((-55)\/(-176)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - (13 - -215))*-5. Calculate the greatest common factor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(((c\/(c\/(c**5\/c)))\/c)\/c)*c*c**5*c**(-5)*c**8*c*c*(c\/c**(2\/19)*c**(-3\/2))\/(c**5\/c**(2\/11)) assuming c is positive.\nAnswer: c**(1913\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.02, 0.2, 13, 52 in ascending order.\nAnswer: -0.02, 0.2, 3, 13, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -67*(-630)\/(-4221)*2\/70?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 + w**2 + 3*w + 2. Give x(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*o + 164*o = -1 - 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -2, 0.27, 2\/9, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 22\/118295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*j - 1 = 0, -4*j + 5 = j. Let r(o) be the third derivative of 1\/12*o**4 - s*o**2 + 0 - 1\/6*o**3 + 0*o. What is r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1104 and 202384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 + 630 = 0. 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: Suppose x - 2*i + 139 = -2*x, 4*i = -4. Let k = x + 75. Suppose 4*n = 2*o - k, -2*o - 2*o - n = -11. Solve 2*u - p = -0*p - o, 3*p + 3 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-18) - 75\/(-27). Which is the closest to -1\/3? (a) u (b) 0 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -831, -1663, -2495, -3327?\nAnswer: -4159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 9*b**2 + b - 14. What is the units digit of q(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972 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: Calculate 107.402*2.\nAnswer: 214.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 29 = -7. Let r = l + -23. Is r <= -24\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2439027, 2438990, 2438953, 2438916, 2438879, 2438842?\nAnswer: 2438805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven halves of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 24*n**3 + n**2 - 2*n + 2. What are the prime factors of d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - (-12600)\/245)*(-49)\/(-4221)*3?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3882 - 3390. What is the remainder when g is divided by 470?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = y + 2 - 11, -5*y + 59 = -m. Solve 3*w = -2*a + 13, 3*w + y = 4*a - a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1443022232 + -24?\nAnswer: -1443022311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -75, -2, 2, -4 in increasing order.\nAnswer: -75, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 - 12*c**3 + 25*c**3.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 253 + -251. Solve -2*v = -w + 6*w - 7, -3*w = -5*v + j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1214*p - 2438*p + 1216*p - 499 as r + k*p and give r.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-18)\/k)\/k**(2\/53))**30)**4)**16 assuming k is positive.\nAnswer: k**(-1835520\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 10)*(3 + -1). Suppose 5*k - 2*k - l = 0. Let x(g) = 5*g - 9. Let b(w) = -6*w + 10. Let i(q) = -4*b(q) - 5*x(q). What is i(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -437*m + 427*m + 630. Suppose 4*u = x + 27, -2*x - 3 = -u + 2. What is the greatest common factor of u and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 2, e: 2, r: 2, z: 1}. Give prob of sequence gg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97340 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 6162 (base 7) in base 16?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i - 4*c = -24, -4*c + 12 = -4*i. Let t be (-5 + 384\/84)\/((-6)\/28). Solve n = -t*w - 6, -2*w + 33 = -7*w + i*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -386.89 to the nearest integer.\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10690 and 668387974?\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2364, 0, -3, -27 in descending order.\nAnswer: 2364, 0, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let v(j) = 268865*j. Give v(w(q)).\nAnswer: -268865*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, and 1 i when three letters picked without replacement from mszgoziim.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 96 = -78. Solve -y + s = -3, 4*y + 0*s = -2*s - p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1428, -2858, -4284, -5706, -7124, -8538, -9948?\n\"Answer: 2*i**2 - 1436*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/179 and 119\/20064.\nAnswer: 3591456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.117, 136945, 2, -4 in descending order.\nAnswer: 136945, 2, -0.117, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -891, -1782, -2669, -3552?\n\"Answer: 2*c**2 - 897*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2490517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l - 33. Let d(z) = z**2 - z. What is -2*d(s) + i(s)?\nAnswer: -s**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 - 87*y**4.\nAnswer: 3*y**4*(y - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - k**2 + k - 107*k**4 + 71*k**4 - 113*k**4 in the form v*k**2 + g + l*k**4 + w*k**3 + s*k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -2*p, -5*p = -j - 2*p. Let c(v) = -12*v + 15188*v**j + 11*v + 11113*v**3. Let s be c(1). Round s to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*k - 12, -64*k + 61*k - 8 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 + 10039.\nAnswer: 10038.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - 0) + -2 + 21 + -20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47479 or -1946699\/41?\nAnswer: -1946699\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -1 + 19 + (20 - 43).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 6400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 228980, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002644415 to 6 dps.\nAnswer: 0.000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2027718803716 + -1371782186495490881\/676515. Let v = d - 7\/6443. Let q = v + 73\/35. Find the common denominator of q and 71\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 5*z + 1. Let d be o(-4). Let t = 9 - 9. What is the nearest to -0.1 in t, d, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - -61. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.594981 centuries to months.\nAnswer: 7913.9772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 636182 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -174 - 1?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*k - k - 3*u, 17 = 3*k + 5*u. Factor 11*l**2 + 9*l**3 - 802*l - l**5 + l**k - 801*l + 1607*l.\nAnswer: -l*(l - 4)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from ukuokkuuokkoukokuuo?\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(170) - (sqrt(170) - (sqrt(170) - -1*sqrt(170)))) + sqrt(170))*-5 + sqrt(170))\/(sqrt(20)\/sqrt(2)*-3 - sqrt(10)))**2.\nAnswer: 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 74.5, -1\/2, -10337, 1, -5, -0.4?\nAnswer: -10337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4)*(-332)\/(-5146))\/(-1)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404469 and 13383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = -k, -4*h = 4*k - 62 + 22. Suppose -1110 = -3*b + 5*r, 3*r + 0*r = 9. Is 7 a factor of b\/k - 2\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - x - x)*(x**2 + 0*x**2 + 7*x**2) + 10*x**2 - 7*x**3 - 10*x**2 + (-4 + 3 + 2)*(x**3 + 0*x**2 + 0*x**2) to d*x**3 + s*x + h*x**2 + o and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 less than 31927194023718?\nAnswer: 31927194023717.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 11*z**2 + 8*z + 3. Let k be l(7). What is the greatest common divisor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 429501.2 days?\nAnswer: 37108903680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 756730139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1202207\/9210 - 1958\/15. Let i = x - -61709\/3684. Find the common denominator of i and 29\/18 + 2\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555231 = 2*h + h. Suppose 2*v = 3*s + h, -v - v - 185081 = 3*s. Let g = s - -91693. Round g to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 76.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261 (base 9) in base 10?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*n = -3, 2 + 3 = g - 5*n. Suppose g = -2*w + 17 - 63. What is w rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/30 + (-227)\/(-5). Suppose 6*x - 4*x = 30. What is the highest common divisor of h and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(36\/(-117)) + 1 + -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 0*p**3 - 5*p**2 + 4 + 3*p + 3. Let i be 2*-4 - (-6 - -3). What is r(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 7*p + 1. Let i(m) = -3*m**2 + 15*m + 2. Suppose -180 + 26 = -22*n. What is n*q(l) - 3*i(l)?\nAnswer: 2*l**2 + 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 64. Let q = 8 - 3. Suppose -a + 16 = -q*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**3 - 6*d**2 + 18*d - 88. Does 44 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4698847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028833557 rounded to four decimal places?\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2 - 103*t + 3 + 109*t. Let f(r) = -2*r - 3. Let u(j) = -9*j - 9. Let b(s) = -3*f(s) + u(s). Give -5*b(l) - 2*g(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251804820?\nAnswer: 2, 3, 5, 4196747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 214617343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -y. Let v(w) = -w + 15. Let t be v(20). What is the nearest to -1 in -3, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-13\/2)*x)\/x**(-2\/57))\/((x*x**33)\/x*x*x**(-3\/38)))**(-1\/29) assuming x is positive.\nAnswer: x**(2245\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 202967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9962 + -9962.15. Which is bigger: -0.097 or i?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1443440 divided by -4\nAnswer: 360860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 76. Suppose -5*x - l + 23 = 0, g*x + 2*l - 5 - 6 = 0. Suppose 0 = -x*d - 4*u + 524, -u + 3*u = 2*d - 206. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0*l**5 + 31*l**2 + 1 + 0*l**3 + 0*l**4 + 3\/5*l**6 - 62*l. What is the first derivative of b(u) wrt u?\nAnswer: 72*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003828652 rounded to seven dps?\nAnswer: -0.0003829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 - 2263 = -10*t. Let m = t - 136. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p**2 - p + 1. Does 10 divide l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3986262 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**5 + 32*j**4 - 244*j**3 - 2624*j**2 - 5808*j - 3456 = 0.\nAnswer: -8, -6, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1492226 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5170163 millimeters to nanometers.\nAnswer: 517016.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-319)\/2552)\/((-243)\/(-24)).\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13813901.5 + -0.008.\nAnswer: -13813901.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44*w + 207 - 71 + 176 + 121 - 5*w**2 wrt w.\nAnswer: -10*w - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/6)\/((-20)\/4))\/(52\/156).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*k*w**5 - 2*k*w**3 - 11274*k*w wrt w.\nAnswer: -2620*k*w**3 - 12*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 2*r + 21. Determine d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {l: 1, f: 1, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 6. Let x(k) = -4*k + 3. Suppose 5*z + 12 = 3*y, 3 = -3*z + 2*y - 3. Determine z*d(g) + 10*x(g).\nAnswer: 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53594498 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + f - 10, -3*z - 4*f + 25 = -4. Let q be -10*(-4)\/(z - 3). What is the third derivative of -68*j**3 + 68*j**3 - 7*j**6 - q*j**6 + j**2 wrt j?\nAnswer: -1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, -5, 0, -6 in increasing order.\nAnswer: -16, -6, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 64 = 7*b. Suppose 0*y - b = -4*y. What are the prime factors of (2 - 12)\/((-2)\/y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12498, 12499, 12500?\n\"Answer: m + 12497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/3 + 589*z + 2. Let n(b) = -261*b. Give n(w(c)).\nAnswer: -1044*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -382 + 942. Is 86 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 44*f - 20. Let y be t(25). What is the common denominator of -61\/231 and (-834)\/y + (-1)\/5?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (174 + -179)*2\/47. Let g = 14 - 14. Which is greater: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:09 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2146080 divided by -429216\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 5. Let a be c(-8). Suppose 2*n - 22 = -a*y + 13, -41 = -3*y + n. Suppose z = 3*d, -5*z = -6*d + 2*d. Solve 1 = 4*l - g, 2*l - y = 3*g - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(210) + sqrt(210) + -1*sqrt(210))\/sqrt(7))\/sqrt(10))**2 + 4)*4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 10*u**2 + 357*u + 2147. What is o(-20)?\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5949951066594 + -2.2.\nAnswer: -5949951066596.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -9*o + 5. Suppose 93 - 263 = o*c. Let a = 26 - c. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b3 + d791?\nAnswer: dc54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088986830 to the power of 1\/2, to the nearest integer?\nAnswer: 33000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 206, 219, 236, 257, 282?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 7*o + 4. Let c be 17*1\/7*-2. Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqqqqgqq. What is prob of picking 1 q and 1 g?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*h + 21*h**3 - 444*h + 837*h - 23*h**3.\nAnswer: -2*h**3 - 68*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 150341229*r**2. Let d(f) = -6*f. Determine d(b(i)).\nAnswer: -902047374*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0 + 0)*(-u + 4*u - 5*u) - 14*u**2 - 9*u**2 - 15*u**2.\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10030013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23246397.\nAnswer: 3, 37, 69809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -36. Let h(f) = -f**3 - 25*f**2 + 28*f + 60. Calculate the smallest common multiple of h(-26) and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 40, 84, 146, 226, 324?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*-970821\nAnswer: 3883284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7246147 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.83 + 5.83. What is the closest to 2\/7 in 3, -3\/2, -4, n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 5. Let f(v) = -4*v + 5. What is 4*f(p) + 6*h(p)?\nAnswer: 2*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31816.\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-11)\/(-5) + -1). Let g be -1 - (-2 - (-10)\/2). Is 726\/4*g\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 1.3. Let j = 0.17 + -0.12. Let o = j - -0.95. What is the closest to x in -4, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9764040 divided by -8535\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -5*k**2\/2 - 6*k - 12. Let j(y) = -14*y - 17. Let h(w) = 17*d(w) - 6*j(w). Let x(f) = -28*f. Calculate h(x(z)).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283488 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -46*v + 1. Let m(j) = j**2 + 184*j - 5. Determine 9*f(b) + 2*m(b).\nAnswer: 2*b**2 - 46*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204744*l - 511 - 699 = 204623*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 13. Put -0.4, -2, o in descending order.\nAnswer: -0.4, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13045 = 6*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -10, -7 in decreasing order.\nAnswer: -1, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a\/((a*a\/(a*a**(2\/83)))\/a)))*a*a*a)\/(a\/(a**(-18\/7)\/a)))\/(a\/((a\/a**(-29\/4))\/a))**1 assuming a is positive.\nAnswer: a**(15577\/2324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0 - 2. Let r = 0 - x. Suppose -4*y = 3*t - 14, -2*y - y + r*t + 2 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*x + 7*x**2 - 39*x)*(4 - 4 - 2*x).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 26. Let p(f) = -f**2 - 10*f + 3. Let v be p(l). Let h be ((-8)\/6 + 3)*v. Solve 5*j + 18 + 12 = -h*s, -2*s + 8 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1536132 and 52?\nAnswer: 1536132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 38*s - 84. What is x(27)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**2 - 2153*g - 175271. Calculate n(-109).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -m - 3. Suppose -m*u = -0 + 12. Let k = 6 + u. Solve k*h - 1 - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 12697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202*z - 3928 = 30548 + 41683 - 1635 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17213*y - 18080*y - 13005 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 0.9. Let z = -0.26 + -0.74. Put z, 3, w in increasing order.\nAnswer: z, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*r = -1720, -1462 - 260 = -4*n - 2*r. Calculate the remainder when n is divided by 420.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:37 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - o = -28, -5*v + 0*v + 2*o = -168. Suppose -4*u = y - v, 5*y - 23 = -3*u + 4*y. Let q be 1 + -3 - (-9 + -1). Is u at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-16))\/(13\/26)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37 and 1028711828198.\nAnswer: 1028711828161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/1 - 78\/(-2). Suppose -h + k = -5*p - 53, 145 = 2*h - 3*p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 23 = 5*j, -2*d + 22 = -5*d + 4*j. Let f = 10 + d. What is the remainder when 11 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**3 - 654*g**2 + 7*g**3 + 149*g**2 + 3*g**3 + 310*g + 720*g = 0. Calculate g.\nAnswer: -103, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23\/99 + 1\/99. Let m be 171\/(-54) + (0 - -4). What is the closest to -2\/7 in u, m, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/30 + h**5\/30 + 10*h**2. Let a(v) = -5*v**3 - v**2. Let w(l) = 3*a(l) + 4*g(l). Determine m so that w(m) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 1 = -2*t - 2*c, 3 = 3*t + 4*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -9. Suppose 0 = 4*i + y - 63. Let f be i*((-3)\/6 - 0). Let u(z) = -2*z. What is u(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 11*s**2 + s - 3. Let d be n(0). Suppose 0 = p - 1. Let z be 1 + p + (-6 - 1). Which is the nearest to 3? (a) d (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 0)*394\/(-2364) + 4\/(-18)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -212021?\nAnswer: -212014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + (-38)\/(-14). Let b = 130 - 196. Let h = -64 - b. Solve 0 = i*s - 4*q - 5, q = -q + h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-18))\/((-67)\/201).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -4?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 22641?\nAnswer: -1\/7547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 4. Let p be x(3). Which is bigger: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3972 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -203393, -20 in descending order.\nAnswer: -2\/11, -20, -203393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22\/27 - 188\/297. Let l = -542.8 + 543. Which is the nearest to -1\/7? (a) 0.4 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y + 18 - 108. Which is greater: 57\/8 or y?\nAnswer: 57\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f - 299*f - 302*f - 20 + 166*f.\nAnswer: -455*f - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2521 is divided by 58.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 4.8, 28 in ascending order.\nAnswer: -1\/3, 4.8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 3710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1743.92 - -1744. Suppose -1 = 4*b - 3*b. Let x = 39 - 39.3. What is the second smallest value in b, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424232083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6699936.\nAnswer: 2, 3, 101, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/(-35) + (-6)\/14. Find s, given that 0*s**2 - 6*s - 3*s**2 + g*s - 3*s**2 - 3*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**5\/60 - 7*o**4\/24 + o**3 + 41*o**2\/2 + 25. Let x(y) be the second derivative of p(y). Determine x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 12*p**2 + 17*p + 10. Let a be x(-2). Solve 4*n = -a + 24 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 11*f + 7. Let o be (-7)\/(21\/9) + -11. Let g be q(o). Suppose -2*k = 8, g = 3*w - 5*k - 806. Round w to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i + 6*i - 196 + 200 - 4*i. Let m(y) = y + 1. Let d(r) = 3*r - 1. Let l(c) = -d(c) - 4*m(c). Give 7*l(p) + 5*u(p).\nAnswer: 6*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4992 - 2276. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 2:08 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/28)\/(3\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.3 - -0.3. Let b = p - -2.7. Let k = 3648577 - 3648579. What is the smallest value in b, 2, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -89, 0.7, 0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/7)\/q*q*(q\/(q*((q*(q\/q**(1\/7))\/q)\/q)\/q*q*q))\/q)**(-36) assuming q is positive.\nAnswer: q**(288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 9 = 3*v + 5*g, -5*g = 4*v + 27. Let a be v + 356 + (-3)\/(-1). Suppose -t + 5*t - a = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + 0*f)*(-f**2 - 4*f**2 + 7*f**2).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 61. Solve -p*b - 27 = 4*o - o, -5*b = 3*o + 37 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*b. Suppose b*z - 3*z = -m + 3, 0 = z + 2. Let a = -801\/5 + 161. Sort a, m, -5\/4 in descending order.\nAnswer: a, -5\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -11 + (10 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - -1*(-3 + 2). Let z be (-2)\/(w + 6\/(-10)). Let u = -0.39 + 0.69. What is the third smallest value in z, u, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 1, f: 2, e: 1, v: 2, o: 1}. What is prob of picking 1 c, 1 e, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/6)\/(133\/38*(-632)\/711)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.833 + -20.167. Which is the third biggest value? (a) 15 (b) 2 (c) y (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3860896091 + -3860896068.00000021. Let c = -0.034 + -22.966. Let d = x + c. Round d to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 1 g when three letters picked without replacement from {m: 1, f: 4, g: 2, x: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*b + 9. Let u = 9 + b. Suppose u = q + q. Solve 8*m - q*m - 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/13 and (-48)\/40 + -504*10\/(-3575)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -712 - 2904. Let a = f + 893. Let w = a - 4831. What is w rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 291 = 5*r - 307, -2*f = 44*r - 4*f - 180 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -19*n - 10. Determine k(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*u - 1 + 3, 20 = 4*a. What is the third biggest value in -1\/2, u, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 w when four letters picked without replacement from {w: 7, s: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(6)\/sqrt(3) - sqrt(2))) + -3)*-3 - ((sqrt(2)*-2 + -1)**2 - (sqrt(8)*1 - sqrt(8))\/sqrt(4)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6526 (base 9) to base 4.\nAnswer: -1023003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2952555268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5750*c**3 + 11504*c**3 - 5757*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -10101000110001101?\nAnswer: 10101000110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 150 = 3*x - 73, 0 = 3*x - 5*z + 97 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -192.\nAnswer: -192, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6*j + 3*j - 1 = 0, -x - 13 = -3*j. Let f(b) = 4*b + 31. Let g be f(x). Suppose g*h - 27 = 6. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 - 7*p - 6. Let g(v) = 2*v**2 + 2*v + 2. Suppose 0 = 2*c + 2, c + 9 = 4*s - 0. Suppose -6 = s*d + d. What is d*u(r) - 7*g(r)?\nAnswer: -2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 343429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 77 times -256\nAnswer: -19712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9623*(-2)\/4*34. Suppose -5*i + 316389 = -h. Let w = 33996 - i. Round w to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126856735 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 1216*k**2 - k - 7*k + 3*k + 1 to the form h*k + s + u*k**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/7 - (-195)\/(-210))*-6. Suppose -2*z = r - 5*r + 444, z - 333 = -w*r. Calculate the remainder when r is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118894 is divided by 868?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -325 + 576. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -600.\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 2*h + 0*h + 2 + 1.\nAnswer: -2*h + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37686955.\nAnswer: 5, 419, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 214, -3 in ascending order.\nAnswer: -86, -3, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-80224)\/(-5152) - (-8)\/(-14)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 348 = -2*l. Let p = -98 - -26. Let d = p + l. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1216))*-3 - sqrt(1216) - (0 + sqrt(1216))*1)**2*6.\nAnswer: 182400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 44.4781.\nAnswer: -400.3029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -251\/2 and -125 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 6:36 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 3 - (0 - -3). Let r be 148\/(5 - q\/(-3)). Calculate the common denominator of -9\/2 and r\/14 + (0 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gldbqgdgqlggqq. Give prob of picking 1 g and 1 l.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3292896 (base 11) to base 4\nAnswer: -112001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrlrrrrrl?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b + 2*v, 3*b + v = 6*v + 27. Let c be (0 - 1)\/(1\/(-2)). Suppose -6 = b*f - c*f. Is f at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*f**3 - 4\/5*f**2 - 8\/5*f + 0.\nAnswer: 4*f*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.983 - 0.393. Let q = -1.79 + f. Let p = 5 + -1. Sort q, 5, p in ascending order.\nAnswer: q, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4011495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/20*10\/(-4). Solve 4*a + 2*z - h = -0*a, 15 = 5*a + 4*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, 1, -5, -3 in increasing order.\nAnswer: -5, -3, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2759*z - 2759*z + 59*z**4 + 4*z**4 + 3*z - 3*z + (z**4 + 2*z**4 - 6*z**4)*(5 - 2 - 1) + z**4 + 2*z - 2*z.\nAnswer: 58*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2\/83?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 33?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -6\/5 (b) -2\/31 (c) -36 (d) 3 (e) -0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1041*o - 78518. What is l(78)?\nAnswer: 2680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2790 = 12*g + 678. What is the highest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h. Let w(i) = 2494*i**2 - 15*i. What is m(w(f))?\nAnswer: 32422*f**2 - 195*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 478 + -477.8. Which is the closest to 0.1? (a) 2\/9 (b) -2\/3 (c) p (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6083030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/549450 and 181\/719280?\nAnswer: 39560400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*c = -62*c + 237*c + 7336 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1 + 3 + 4*u + u**3 + 0*u + 7*u**2 - 1. Let i(t) = 9*t. What is the remainder when i(7) is divided by z(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14845722.8 to the nearest one thousand.\nAnswer: 14846000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1008) - ((sqrt(7) - (sqrt(7) + -4))*-2 - sqrt(7)))**2 + (-1*sqrt(1575) + sqrt(63))\/((sqrt(81)*-1)\/sqrt(9)).\nAnswer: 316*sqrt(7) + 1327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.3 - 0.7. Let p = 112 + -52. Let y = p - 59.95. What is the biggest value in -1\/2, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192780, -192781, -192786, -192795, -192808?\nAnswer: -192825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 8. Let l be p(-9). Solve x**3 - 6*x**2 + 3*x**3 + 0 + 0*x**3 - x**4 - l + 4*x = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*q = -3, 209 = 3*a + 4*q + 216 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 14*c - 6. What is q(4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/5 of a litre in millilitres?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y - 169*y = -32*y - 1099 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1*v)**30\/(v**1)**8 assuming v is positive.\nAnswer: v**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 6*z + 3. What is the remainder when p(6) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*b - 0, -4*b - 32 = -4*i. Find the second derivative of -6*k - k - k**4 + k - k**i wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etttetettttt. What is prob of sequence ee?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(5\/10) + 2. Let y(f) = f**3 - 6*f**2 + 7*f - 10. Let t be y(z). Let a = t + 24. Calculate the remainder when 67 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -41*i + 236. Let u be x(16). Let t = u - -596. What is the highest common factor of 44 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367213841?\nAnswer: 137, 2680393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79112351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 27, -0.05, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -1)*-20*12\/(-3360)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 334.702 + -335. Let f = -0.002 + d. Put 0, 5, f, -5 in descending order.\nAnswer: 5, 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 (base 12) in base 14?\nAnswer: 16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2*(-27)\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -58386, -233542, -525468, -934164?\n\"Answer: -58385*j**2 - j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s - 35 = -21*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/20)\/(133\/380).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/11430 and 193\/990.\nAnswer: 125730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - -123. What is the remainder when 12 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:39 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95035 < 95033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46135, 46133, 46129, 46123, 46115?\nAnswer: 46105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 59. Let z be (2\/(-1) - -3)\/(8\/(-120)). Let k be (20\/z)\/(2\/(-42)). Let w be y(k). Which is greater: w or -0.01?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g - 2. Let d be l(2). Suppose 6 = d*c - 2. Suppose 0 = -c*j - j + 6. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 231 + -63. Let i = -173 + d. Let m = 84 + -88. What is the nearest to 2\/25 in i, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 + 5*z**2 - 9*z + 2. Let p be d(-3). Suppose -p = -27*x + 88. Solve x*q - 14*q = 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 26. Let u be (-3)\/(-8) - 496\/(-512)*12. What is g(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 19255 + 19255.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 10. Let h = 245\/2 - 4169\/34. Which is greater: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 - -323.99. Round k to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 48*d**2 - 381*d + 1551. What is the units digit of v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 8. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - -22)\/(-6))\/(0 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 21040?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16019854 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12*a - 10 = 0. Let l(i) be the second derivative of 7*i**6\/120 + i**3\/6 + i**2\/2 - i. Let q(s) be the first derivative of l(s). Give q(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1092\/(-14))\/(-6) - 2*-1. Solve s*l - 10*l - j - 8 = 0, -4 = 5*l + 3*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4114 and 145119293?\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 323195460*q**4 + 36244*q**2 + 342 wrt q?\nAnswer: 7756691040*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -195 (base 15) to base 16\nAnswer: -16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -536, -1079, -1622, -2165?\n\"Answer: -543*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 8. What is y(8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -63584612?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*l + 0*l + 4*l)*(0 - 3 + 2) + 2 + 2*l - 2 + l - 2 + 2)*(2 + 0 - 1)*((-6 + 2 + 2)*(3 + 2 - 1) + 1 - 6 - 4 - 1 + 5 - 2).\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/26 in 1\/3, 0.01, -300, -1680?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 1\/2 (b) 384 (c) -6 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76157, -152206, -228251, -304286, -380305, -456302, -532271, -608206?\n\"Answer: q**3 - 4*q**2 - 76044*q - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 999660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3313 (base 4) to base 14.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(72) + 2 + sqrt(72))**2 + 0.\nAnswer: 52*sqrt(2) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, t: 2, l: 1, d: 1}. What is prob of sequence ttld?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 13. Let b be n\/8 + (-23642)\/152. Let o = -155 - b. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-16) + (-62)\/(-4). Suppose v - 15 = 6*v, 0 = 4*c + 5*v - 113. What is the greatest common factor of c and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14123003 (base 5) to base 2.\nAnswer: 100011011111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 - 96471050*h - 465333174405125 = 0. What is h?\nAnswer: -9647105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**2 - 55*z**3 - z**2 + 63*z**3 wrt z?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.78 + -129?\nAnswer: -182.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*i, 4*x - 3*x + 2*i = 0. Suppose x*k = -2*k + 4. Suppose 3 = -v - 2*v. Sort -5, k, v in decreasing order.\nAnswer: k, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1995 is divided by 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -14*g - 4. Let m be a(-2). Let j(l) = -l + 10. Let t be -1 - (-1 - (-2 - -9)). Let u be j(t). What is the greatest common divisor of u and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/23 in 3, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5349 = 274*m - 8899 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115842967\/2135 + -54259. Which is greater: -2\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {p: 4, s: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1094.259 to 0 decimal places.\nAnswer: -1094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111000111100101001 + -1000011?\nAnswer: 100111000111011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 290598?\nAnswer: 59\/290598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*z + z + 1313, -650 = -z - 5*q. Let g = z + -289. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*g + 20. Let m be (-23)\/(-23) + -1 + g. Suppose 0 = -7*y + m*y + 27. Calculate the least common multiple of y and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120112021 + 10?\nAnswer: -120112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3dd9 + c?\nAnswer: -3dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-371)\/(-9) - (-4)\/(-18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 37020859 - 37020859.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 58838.076.\nAnswer: -117676.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 2*v + 13. Calculate the remainder when 249 is divided by h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30.4+1145\nAnswer: 1175.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*y = -168 - 179, -h + y = -85. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dae (base 15) to base 13.\nAnswer: -2c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*g - 9 = 289*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 18*i + 2. Let k be c(6). Let a be 3 - 1 - (2 - k). Solve 0 = -2*w - a + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**7\/168 + 7*f**6\/360 - 10*f**3\/3 - 3. Let z(x) be the third derivative of r(x). What is the third derivative of z(c) wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/3))**(-10))**(-2))**13 assuming q is positive.\nAnswer: q**(520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 12. Let a(m) = -25*m**2 + 2*m - 41. What is -a(r) + 2*y(r)?\nAnswer: 23*r**2 - 2*r + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61228 + 94303. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*p + 6 = -12, 5*h - 2*p - 22 = 0. Suppose 3*t = h*t - 2. Sort -1, 5, t in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.172 or -0.010381?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4349280 to the nearest integer?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) + (-2348)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*m + 77. Let c = 20 - m. Let o(k) = k**3 - 6*k**2. Let j be o(c). Solve 2*u - 9 = -y, -5*y - 4*u + 15 = -j*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1854*h**3 - 1417 wrt h.\nAnswer: 5562*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2\/3*g**3 - 6*g**2 + 40\/3*g = 0. Calculate g.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/8*8\/(-6). Let y be h + 2 + 0 - 2. Is (-76)\/(-6) + y\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -7\/68158078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 939269*i**2 - 748696*i?\nAnswer: 1878538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 98 (b) -0.3 (c) 1 (d) 6 (e) 2\/13 (f) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1949613\nAnswer: -3899226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 5. Let g = n - -6. Let j be 3\/(1\/((-4)\/(-6))). Solve 10 = j*p + g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1542 + 1545. Let h(f) be the second derivative of -1\/2*f**2 + 0 - 1\/6*f**4 + 0*f**d + 10*f. What is the first derivative of h(a) wrt a?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5372\/7 + 768. Which is the closest to 0.1? (a) 0.4 (b) -1\/22 (c) y (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773062?\nAnswer: 2, 83, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129626 and 2139158.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 19. Let a be k(-6). Suppose 0 = -a*y + 165 + 125. Round y to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -166*w**2 - 4973*w + 73. Give u(-30).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/5 + 1353*q**3\/5 + 4077*q**2\/5 + 4083*q\/5 + 1362\/5.\nAnswer: -3*(q - 454)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1092, -21\/11, 2.\nAnswer: -21\/11, 2, 1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/2*(-156)\/(-65). Suppose 2*n - 4 = c. Solve 4\/7*h**4 + 0*h + 0*h**2 - 2\/7*h**n + 0 - 2\/7*h**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 4\/3 (c) -1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwnwnjnnnnjnnwn. What is prob of sequence nn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2955*o**2 + 11656*o**2 + 7446*o**2 - 3561*o**2.\nAnswer: 18496*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/205 + (648\/405)\/8.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23298 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:56 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 1952.\nAnswer: 17568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 + 0*u - 76 - 5*u + 14 + 96 as c*u**2 + g + t*u and give g.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 + 6*d**2 - 3*d - 6. Let y(b) = 5*b**3 + 5*b**2 - 3*b - 5. Determine -5*g(j) + 6*y(j).\nAnswer: 5*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 1 - 1)*(4729*v - 5219*v - 8486*v - 20652*v) to the form g*v**2 + i + x*v and give g.\nAnswer: 59256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163414.662 - 163588. Let c = 174 + t. Round c to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*s - s - 1, -2*g - 5*s - 31 = 0. Let m(u) = -u**3 + u**2 + u. Let h(o) = 2*o**3 - 2*o**2 - 4*o + 1. Let b(j) = g*m(j) - h(j). Give b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(136)*6 - sqrt(136)) + sqrt(136))*-1)\/((1*sqrt(32))\/sqrt(4) + sqrt(24)\/sqrt(3)*4).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -452 + 452.0001103. What is s rounded to 6 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 10 = -d. Solve 4*r + 2*v - d = 0, -2*r + 8 - 23 = -3*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -40?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 13*j - 40*j = 48*j - 345. Solve -17\/2*u**4 + u**j - 5\/2*u**3 + 36 + 85*u**2 + 114*u = 0 for u.\nAnswer: -2, -1, -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 2 (c) 2\/49 (d) 1\/3309 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + r. Let j be c(-2). Let y = -4 - j. Suppose -5*g - 156 = -y*g. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -301*w**4\/4 + 91*w**3\/3 + 91*w**2\/2 + 91*w - 135. Let s(r) = -10*r**3 + 3*r**2 + 3*r + 3. Calculate -6*m(p) + 182*s(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 d when four letters picked without replacement from {d: 4, b: 1, e: 2, g: 1, m: 1}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(12\/(-576)*-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 4, -7 in decreasing order.\nAnswer: 5, 4, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 495709 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.77408 months in centuries?\nAnswer: 0.1214784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204680476 and 1918280?\nAnswer: 2046804760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 18*v**2 - 15*v - 10. What is t(17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 - -8) - (-52 + 32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1264 or 37\/693?\nAnswer: 37\/693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*f = -5132, 5116 = 2*b + 28*f - 29*f. Calculate the lowest common multiple of 448 and b.\nAnswer: 17920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*y - 0*y. Suppose 3*j + 2*z - y = -0*z, -3*z = j - 4. Is 1\/j - (-262)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (-48 - (-962)\/111).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/13 in 6, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2. Let f(l) be the second derivative of 1\/4*l**4 + 0*l**3 + 0 + 12*l + 0*l**2. Calculate f(o(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1544334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9299401 + 0.93. Round f to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 690 and 207.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543 - 575 = -16*t. Let z(f) be the second derivative of 0*f**3 - 1\/48*f**4 + 1\/2*f**2 + t*f + 0. Suppose z(x) = 0. What is x?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmzmmzzdzzd. Give prob of sequence mmmd.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -123710 divided by 24742\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, v: 2, w: 4}. What is prob of sequence wvv?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/756)\/((-2)\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 351 and 39?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - q + 1. Let s(w) = 3*w**2 + w - 11. What is s(p) - 2*z(p)?\nAnswer: p**2 + 3*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 143703.184 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 19?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-18) - (-49)\/6. Suppose -2*j + a = 4. Let u = 4 + j. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.4 (b) 2 (c) -2\/3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*s - 55, -3*q = 5*s + 7 - 42. Suppose -4*f = -0*f - q. Solve 2*p + 5 = 3*p - f*i, 2*p - 10 = 4*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 29. Put 4, 0, s in descending order.\nAnswer: 4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47597045 rounded to four decimal places?\nAnswer: -0.476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 46*x + 35299. Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2871 (base 9) to base 14.\nAnswer: -b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -1. Let n = -4 + 7. Which is the closest to -2\/5? (a) v (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*u + 30 + 140, -h + 2*u + 60 = 0. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 + 1109*t + 31 - 1110*t as q*t + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - v - 20 to the form s*v + x and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 62)\/(-10*(-15)\/(-750)). What is the greatest common factor of b and 4096?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 divided by 2?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/100 - 13*h**4\/24 + 11*h**3\/15 + 3643*h**2. Factor o(s).\nAnswer: -(s + 22)*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - 18)\/(1 - 16\/12). Is x greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16285600 divided by 5\nAnswer: 3257120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o - 52. Calculate a(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 w when four letters picked without replacement from mwjmwmmmmwwwjjmjw.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82058 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + 36\/15. Let w(y) = 167*y + 2. What are the prime factors of w(x)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soss when four letters picked without replacement from {s: 12, o: 6}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 4752154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 19. Calculate b(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 20 = 5*h - 3*h + h, 0 = -3*g - 19*g - h + 105 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let b(i) = 3*i**2 - i. Let m(o) = -4*b(o) - 11*d(o). Suppose m(t) = 0. What is t?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {t: 14, f: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1412 - 1415. What is the smallest value in -5.5, -5, z?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4210 and -59\/16.\nAnswer: 33680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 15359 + 15349 = 3*t, 0 = -2*d - 6*t - 28 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 1881?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v - 3*j = 210, -4*j - 20 = 0. Let f be 185\/(-4) + v\/52. Let m = f + 53. Solve m*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(4)*-3 - sqrt(180)\/(4*sqrt(3)))\/(-2*sqrt(432)*2*1).\nAnswer: 13*sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:57 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -2*r**6\/3 - 12*r**5\/5 - 2*r**4 + 8*r**3\/3 + 6*r**2 + 4*r - 2. Factor z(b).\nAnswer: -4*(b - 1)*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*x - 20 = -169*x. What is the closest to 1\/2 in -75, 1\/10, x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.2 (b) 1 (c) 0.03 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11073011 to the power of 1\/2, to the nearest integer?\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + c)*(-c + 2 - 2)*(-3*c - c + 3*c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 4272?\nAnswer: 38448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1053993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46393.\nAnswer: 17, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*c = -3*c - 71, -3*r - 5*c + 215 = 0. Let o = -73 + r. Solve 5*g = 4*g - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1492903 times -0.3\nAnswer: -447870.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/6)\/(4\/(-6)). Suppose -20 = -i*f - 0*f. Is f less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 times 6?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233441 and 11843.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8568 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 87.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160377, -160379, -160381, -160383?\nAnswer: -160385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 26 - 5 = 3*f, 0 = f + 3*x + 6. Suppose -3*c - 12 = 0, -3*l + 0*l = -f*c - 9. Let b = -29 + 29. Is l less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Let y(t) = t**3 + t**2 + t + 1. Let j be y(0). What is the nearest to j in 4\/3, -3, q?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6434308um?\nAnswer: 643.4308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -307 + 311. Suppose -11 = 3*v - 2*u, 0 = 2*v + 4*u + 9 + 9. Put s, v, -15 in decreasing order.\nAnswer: s, v, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89959 is divided by 357?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 8*s**2 - 5*s + 2. Let h be m(7). Suppose h*i - 168 = 20*i. Let t = 46 - i. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syjyyyjjyjssjjy. Give prob of picking 1 s and 1 j.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146 - -65. Let m = a - -323\/4. Let r = 0.17 - -0.13. What is the biggest value in m, -0.3, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2 - 48. What is the least common multiple of g and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15099*w - 8*w**3 + 12*w**2 - 7553*w - 7545*w in the form l*w**2 + a*w + o + b*w**3 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1. Let d(p) = -p**2 - 1. Let n(q) = -d(q) - x(q). Let j(i) = i**2 - 4*i**2 + 9*i**2 - 4*i**2. Give -2*j(l) + 5*n(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.6 from -11142824.\nAnswer: -11142827.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7646\/15 - 2537\/5. Which is the fourth smallest value? (a) 3 (b) -0.4 (c) 3\/4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1676*m**3 + 3370*m.\nAnswer: 10056*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.7 + 45.7. Let y = 147.3 - 184. Let i = z + y. Is i != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101011 (base 2) to base 14.\nAnswer: 12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = -4*g, -4*b - 2*g + 29 + 31 = 0. Suppose -b*n + 10 = -11*n. Solve -3*j = 2*k - 13, -4*k + 14 = -0*k + n*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + (26 - 29)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79752?\nAnswer: 2, 3, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 448, -0.5 in increasing order.\nAnswer: -73, -0.5, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6782a (base 15) in base 14?\nAnswer: 87d95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {q: 2, z: 4, y: 1, p: 7, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6105*t + 811966. Give x(-133).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42 + -9 + 10\/(-2). Let g be 899\/(-1218) - (-2)\/r. Which is the nearest to g? (a) -5 (b) -6\/5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-12))\/(2\/6). Suppose 5*v + 8 + 2 = 0. Let b be (-1 + h + v)\/(-16 - -15). Solve 2*a + 8 = -s, s + a = b*a - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000059987 to 7 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -154633, -154643, -154669, -154717, -154793, -154903, -155053?\n\"Answer: -t**3 - 2*t**2 + 3*t - 154633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*a**2 - 2 + 0 - a**3 + 6*a**4 + 63*a**2 in the form n*a + x*a**2 + i*a**3 + l + j*a**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 5*z + 11. Let n be j(2). Which is the fourth smallest value? (a) n (b) -0.1 (c) -1.4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 8:03 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Suppose 0 = w*l - 7*l - 2*t, -5*l + 4*t + 13 = 0. Which is smaller: -2\/19 or l?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*r - 2*r + 5, -3*g - 3 = 2*r. Let p be (-9)\/7 - 4\/(-14). Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*v = 1, -3*d + 20 = v + v. Suppose 3*o - 29 = 2*z, -o + d = -z - 2. Calculate the remainder when 23 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -535, -762, 45, 2\/5 in descending order.\nAnswer: 45, 1\/2, 2\/5, -535, -762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, -40, -53, -66, -79, -92?\n\"Answer: -13*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9. Let b be (x - 13000)*10*-1. Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7623)\/44)\/21*(20\/25)\/((-3)\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -52. Let k = 14 + c. Suppose -k = -2*j + 10. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/12*4 + 20. Let w = 50 - g. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 10*w + 5*w + 4*w. Let c(p) = 0*p - p + 0*p. Determine c(x(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let m be j(6). Let l be (-208)\/m - 4\/(-12). Let k = 1 + l. Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j - 1\/36*j**4 + 0*j**2 - 1\/18*j**3 + 0. Factor w(h).\nAnswer: -h*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 8:57 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14456 is divided by 1803?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*b - 8821 - 94919 = -456*b - 1614*b for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -p + 2*d, -p + 4*d = d - 14. Suppose 0 = -r + 5 + p. Calculate the remainder when (-1)\/(((-7)\/20)\/7) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64603.\nAnswer: 7, 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -392*j + 6. Let l(p) = 196*p - 3. Let o(u) = -9*l(u) - 4*y(u). Is o(-4) 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 {i: 4, l: 1, b: 1, c: 1, o: 4}. What is prob of picking 1 o and 1 b?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = d + 66. Let h = 250 + d. Suppose 0*o - 3*z = 5*o - h, z = 5*o - 96. Solve 0 = -5*t + t + o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38032153?\nAnswer: 38032153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 59\nAnswer: 29.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2348785 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c68cc (base 13) to base 6.\nAnswer: 35324404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 7*u**2 + 8*u - 5. Let j be h(4). Let s = -19 - j. Solve 1\/4*n**s + 1 + n = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66, -2289, -6612, -13035, -21558?\n\"Answer: -1050*v**2 + 927*v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2947 and -5.3?\nAnswer: -15619.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 288\/(4 + 20) - 50\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3220 and 0.3.\nAnswer: -3219.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -102*s**4 - 87520*s**3\/11 - 564678*s**2\/11 - 479984*s\/11 - 1704\/11 = 0.\nAnswer: -71, -6, -1, -2\/561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o**3 + o - 2. Let q be i(1). Suppose -u + 11 = 5*r, q - 45 = 5*u + 3*r. Let z(b) = 3*b + 13. Calculate z(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163992 is divided by 163826.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 3*v + 168. Let u be p(-16). Let d be (-24)\/u - (-3 - 1416\/15). What is the greatest common divisor of d and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*m + 29, 5035565*b + 84 = 5035557*b - 15*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*q - 5 = 4*f, -5*q - 2333 = -f - 2303 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-2)\/1 - -4). Let n(p) = -p + w - 5 + 0*p. Let g(s) = -s - 1. Let b(a) = a**2 - 19*a + 85. Let y be b(12). Give y*n(u) - 3*g(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -14 + 1067*r - 540*r - 536*r - 4*r**2 + 5*r**2. Give p(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 7380.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3475 - -3322.9. Round v to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 3*r - 6. Give y(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 - 21210222?\nAnswer: -21222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 10*g = 102 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 15*k - 40. Determine f(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 17*i**2 - 16*i - 1. Give d(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 + 282*m**2\/7 + 578*m\/7 - 858\/7.\nAnswer: -2*(m - 143)*(m - 1)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*(-60)\/(-10920)*-1.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12200122312 (base 4) in base 8?\nAnswer: -6403266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 + 284. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*q + 3 - 9, -q - 2 = -4*y. Solve -4*z + 5*w + 8 = y, 3*z + 25 = -0*w - 4*w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522155?\nAnswer: 5, 17, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 311\/55 - 60\/11. Find the common denominator of -3 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -65. Find the first derivative of 5 - 7 - 9 - j - r**2 wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(1377))**2 - sqrt(1377)).\nAnswer: -54*sqrt(17) + 33048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1524*o - 103 = 1527*o + 10*w, 0 = -8*o + 9*o + 2*w + 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 550 + -320. Suppose -439 = -5*j + 4*u, -4*j - 2*u = -335 - 11. Let n = f - j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 12:30 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448902274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 548127405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 3:19 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.00000002. What is w rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2109.873 years to centuries.\nAnswer: 21.09873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n + 418 + 5*n - 436)*(-6 + 3 + 4)*(186 - 186 - 21*n) to i + z*n**2 + b*n and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 3. Let j be b(6). Suppose 0 = -0*g + j*g. Suppose 3*f - 12 = 4*k, 0*k + k = -f + 4. Solve -3*r - f*d = g, 0*r = -4*r + d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) + sqrt(660)*-1)\/sqrt(11))\/sqrt(12) + -4*sqrt(20)\/sqrt(4)*-3.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 11 - 48 + 33. What is a(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9*u - s = -26, -19 = 3*u - s. Let w(c) = 4*c**2 + 28*c. Let m be w(u). Does m = 13\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277 - -3043\/11. Let o = -942034040 + 9502297353238\/10087. Let w = -1\/917 + o. What is the common denominator of w and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 5, 1, -1, 3, -30.\nAnswer: -30, -1, 1, 3, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1188\/83 less than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 33*m + 70. Calculate z(-26).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 20*y - 13 = 19*y, y = 4*v + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-40)*48\/72. Which is smaller: m or 2.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 11*c - 8. Let g be r(8). Suppose 4*y - g = f, -3*y + 2*y + 19 = -4*f. Calculate the remainder when 11 is divided by (-1)\/(f\/12) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7214 - 100911\/14. Calculate the common denominator of (12 - 8) + 412\/(-8) and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**6\/30 + 39*w**5\/2 + w**4\/12 - 2059*w**3\/3 + 4727*w. What is the second derivative of k(p) wrt p?\nAnswer: -12*p**2 + 2340*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56 + 4 + 981*h**2 + 43 + 9)*(-2*h**2 - 4*h**2 + 4*h**2) to u*h**2 + a*h**3 + p + j*h + k*h**4 and give k.\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3 - 2*p**2 + p**2 - 4*p - 3 + 2. Let a be b(-4). Suppose -3*f + a*v = f - 34, -2*f = 2*v - 26. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k - 26. Let m be b(6). Suppose -15 = z + 4*z. Which is greater: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277667 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4170482 and -0.3.\nAnswer: 4170481.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98669?\nAnswer: 98669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 0.2 (c) 3760 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5 + 0 + 2 + 2 - 41*q - 428*q. Is m(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -151*y - 52. Calculate the remainder when h(-4) is divided by 265.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/(1\/3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 384470829 times 0.4\nAnswer: 153788331.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(4\/13)*t*t)**(-2\/81) assuming t is positive.\nAnswer: t**(-112\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 970103277.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 4. Let p = 4 - g. What is the remainder when 5 is divided by (p - (-2)\/4)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4251 < -4251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j + 109. Let w be s(16). Let d(b) = -5*b**2 - 2*b - 4. Calculate d(w).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3 + 2*sqrt(1053))*-5 + -3 + 2 + 4)**2.\nAnswer: 2160*sqrt(13) + 105445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 2, z: 1, j: 1, p: 2, t: 1}. Give prob of picking 1 i and 1 u.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6468*l - 95951 + 129361 - 123435 = 259247 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 10*y**2 + 6*y - 27. Give f(11).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02771 + -11.60171. Let z = v + -0.026. Let x = z - -22.8. Round x to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 941 = a + y + 960, -4*y = -3*a - 43 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111001000 + 100?\nAnswer: 1100111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153.6 - -154. Sort j, -0.1, 0.2, -0.07.\nAnswer: -0.1, -0.07, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 2 - -14) + -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**14*k)\/k))\/k)\/k**(-1\/13)*(k\/(k\/(k*k**4)))\/(k\/k**(2\/21)) assuming k is positive.\nAnswer: k**(-2956\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -53699085 divided by -4881735\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*((5*j - 4*j + 0*j)*(20 - 20 - 9*j) + 2*j**2 + 2 - 2) in the form w*j + p*j**2 + f and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1544 = 5*j - 3*x, -55 = -3*j + 5*x + 865. Let l = j + -290. Let o = 25 + -17. What is the greatest common factor of l and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -347 - -348.007. Let h = -0.007 + w. Which is smaller: h or 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r = -11*r - 21420. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 90. Solve -d + 4*g = 24, 6*d + t = d - g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703.08 rounded to the nearest ten?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4 - 329718*c**3 - 1648514*c**2 + 4286190*c - 2307956 = 0 for c.\nAnswer: -164854, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/6 - 92*g**2\/3 + 242*g\/3 - 136\/3.\nAnswer: (g - 34)*(g - 2)*(5*g - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -199 - 14402 - 1*-10. Do d and -14592 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207415*i**2 - 207419*i**2 + 3 - 10.\nAnswer: -4*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-57) + 1985\/95. Solve 5*l = 4 + c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 10*s. Let i(n) = 2*n**2 - 3*n. Let r(z) = 9*z**2 - 13*z. Let p(u) = 26*i(u) - 6*r(u). What is p(a(x))?\nAnswer: -2*x**4 + 40*x**3 - 200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 21\/9)*3. Suppose 39 = 4*o + a. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 735*g = -733*g + 115769, -23147 = -r - 3*g. Does 137 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 x, and 1 q when four letters picked without replacement from xntatxtnnqvnn.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14874523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 less than -345643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g**3 + 6*g**2 + 18*g - 1018. Let d(h) = -28*h**3 - 17*h**2 - 51*h + 3053. Give 6*d(v) + 17*i(v).\nAnswer: 2*v**3 + 1012","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55, 27, -43, -173, -381, -685, -1103, -1653?\n\"Answer: -3*h**3 - 3*h**2 + 2*h + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 9, 6, 3 in descending order.\nAnswer: 9, 6, 3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = v, -2*v + 5*c = 10*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (-4*sqrt(153)*-2)**2) + 5 + (sqrt(153) - (sqrt(153) + 0 + 0)) + -4.\nAnswer: -9791 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*o = -5*o - 45, 10 = -2*o. Let c be h\/4 - 4\/8. Let w be -2 - c\/(3\/(-718)). Round w to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 228*j**3 - 3768*j**2 + 14768*j - 16224.\nAnswer: -4*(j - 26)**2*(j - 3)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frrracfahacrfa. Give prob of picking 1 r and 1 a.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/6*255\/10. Let n = t - -69. Let j = n + -15. Calculate the greatest common factor of j and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29417 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 5*s + 4. Let a(z) = -2*z**2 - 10*z - 7. Let c(r) = -3*a(r) - 5*f(r). Let p be 20\/(-6)*(-2 + 5). Is c(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + p - 78 - 98, 0 = -3*p. Calculate the highest common divisor of x and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/12*-4)\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 240 = -20. Suppose 0 = k - o - 8. Let h = k - 28. Solve h*d + 4 = -6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1200)\/(-9)*(-120)\/(-50). Suppose 49*n - t = 47*n. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046072 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 - -1.1. Which is the nearest to -0.1? (a) 0.3 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 25. Let p(o) = 5*o**2. Determine g(p(t)).\nAnswer: -10*t**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 - -1476. List the prime factors of p.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + j**2 - j**2 + (2*j - 2*j - 1 - j**2)*(-4*j + 1 - 1).\nAnswer: 5*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5 + 3 = 2*f, 4*f = 3*k + 24*f - 38 + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/52326 and -91\/2346.\nAnswer: 1203498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and -4 + 42\/6 + 32.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 16. Suppose 6*v - 2*h = 4*v - 72, 3*v = -4*h - 143. Let u = v - -50. Solve f - t + u = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/5 (b) 2\/7 (c) -12\/11 (d) 2 (e) 2051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1106192105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3, 0.1, 539?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 758768015 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - h = 17, -2*h - 18 = 5*i - 7*i. Suppose i*x + 2640 - 17876 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110111 - 101110000100100110?\nAnswer: -101101110111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -5*l + i - 42, -3*i - 210 = -5*l. Let u be (l\/2 - 3)\/2. What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542289991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(8) - sqrt(6)\/(sqrt(15)\/sqrt(5)).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-845)\/26)\/13)\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4.1 times 19084926\nAnswer: 78248196.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180910461 or -180910457?\nAnswer: -180910461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let g(d) = 3*d - 40 + 40. Give g(w(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7657*d + 76594. Determine m(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.986 + -4.84595. Let i = -0.14 + j. Round i to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l - 160 + 50 + 54 + 56. Let q = 2 - 0. Let c(i) = -2*i + 2 - q. Determine c(k(u)).\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Suppose 4*y + v - 18 = 0. Suppose -4*z + 12 = -y*f, -z + 2*z = -5*f + 9. Put z, -1, -4 in ascending order.\nAnswer: -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*h + 85, h = 5*p - 3 - 4. Solve -h - 2 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*s - 19 = -4*v + 125*s, 4*v - 21 = 5*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -28 (c) 20 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3 = -z. Suppose -z*p - 8 = -11. Suppose 3*g + 5 = 2*g. Sort 5, p, g in decreasing order.\nAnswer: 5, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009674046045 to five dps.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/2)\/(2\/(-4)). Suppose 3*h - 19 = 3*v - 7, -m*h - 5*v = 0. Is ((-1)\/(-2))\/(h\/40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161 in 0.1, 0.5, -3, 10, -17?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.01 + 33. What is the closest to 1\/4 in w, 3, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/2)*r\/(r\/r**(-17\/3)*r*r) assuming r is positive.\nAnswer: r**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 - -129.9. Which is the nearest to w? (a) -0.4 (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = 3*x - 130, -3*h = 3*x - 84. Suppose h = 7*i - 5. Which is the smallest value? (a) 0.4 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -24)*2\/10. Suppose 4*s + b + 2 = -b, d*b = -3*s - 5. Solve 2*o - 4*i = -6, 3*o + 3*i - i + 17 = s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 a, and 2 p when four letters picked without replacement from ppqpqpmmapamp.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 0*o**3 - o**3 + o**2 + 2*o**2 + 1. Let m = 7 - 9. Let q = 5 + m. Determine v(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.30725 + 114.59725. Round d to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38164*f**2 - 3*f + 4*f**3 - 17 + 38166*f**2 - 2*f**3 as z*f**3 + b*f**2 + j*f + s and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12588373*x**2 - 13989077*x wrt x.\nAnswer: 25176746","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 - 6.5. What is the closest to 1 in -82, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441 (base 5) to base 2.\nAnswer: -1111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Let h = -40 - -40. Let w = u + h. Is w greater than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19585587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let p(k) = -1 + 0*k + k**2 + 0*k + k + 2*k**d. List the prime factors of p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110753 * 357.\nAnswer: 39538821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -49*b**4\/24 + b**2. Let h(f) = -88*f + 12. Let y(s) = -103*s + 14. Let k(p) = -7*h(p) + 6*y(p). Give k(x(d)).\nAnswer: 98*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29490 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 + 10 - (-10783)\/12. Let w = 899 - v. Calculate the common denominator of 67\/18 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12a15 + 0?\nAnswer: -12a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52840145977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/379 or 1?\nAnswer: -4\/379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/8 (b) -93 (c) -2\/31 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15453, 30907, 46361, 61815?\n\"Answer: 15454*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 1\/5, 0.4, 94, 800, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 49 = -5*g + 69, -l = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7459880, 7459874, 7459868?\n\"Answer: -6*u + 7459886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-6)\/(-1053)*6)\/((768\/(-36))\/(-32))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g - 18. Let p be n(-10). Suppose -3*u = 5*s + 7, -34 = -2*u - 2*u + p*s. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/55)*p)\/p*p**(-5))\/((p*p**(-2\/7))\/p)**(1\/16) assuming p is positive.\nAnswer: p**(-15457\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 551 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3369*g**3 + 1740*g**2 + 2*g + 2.\nAnswer: -20214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*n**3 + 78*n**2 - 19*n - 158 wrt n?\nAnswer: 336*n + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*f**2 - 290540*b*f + 13*b - 2721*f**2 - 6*f + 1150 wrt b.\nAnswer: -f**2 - 290540*f + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-7)\/o))\/o**35)\/(o\/o**(-23))**(1\/5) assuming o is positive.\nAnswer: o**(-159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10012\/5 - -2002. Let y = -129 - -129. Suppose -t - 6 + 1 = 0. Which is the closest to s? (a) t (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 22*o - 364. Let p be j(15). Let f be 2\/(-3) - 97\/3. Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75*-20*3\/(-18). Calculate the common denominator of 18\/117 + f\/(-104) and 77\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 6*z + 20. Let t(w) = -w**3 - 18*w**2 + 16*w - 6. What is the smallest common multiple of p(7) and t(-19)?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 0*v - 26*v**2 - 4*v.\nAnswer: -26*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -5, -3.8?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**4\/4 - 5*x**3\/6 + 3*x**2. Let b be n(1). Let q(f) = -f - 4. Let i(m) = 1. Let a(p) = 5*i(p) + q(p). Give a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 66 = 3*n. Let f be (2 + -1)*(-6)\/n. Sort 0.2, -3, f in ascending order.\nAnswer: -3, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 54341663?\nAnswer: 54341661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 21*n**2 + 21*n + 25. Let h be c(22). Suppose 29 = 5*v + 4*l, 3*v = 2*l + 10 + h. Solve -v*u = -4*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.88 + 0.12. Let n = -0.57 + -0.23. Let y = n - -0.3. What is the nearest to 0 in u, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -241 (b) 1 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-20) - (-21)\/5. Let h be 3\/18*(-6)\/l. Put 0, 3\/5, h in decreasing order.\nAnswer: 3\/5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-35)\/(-25) - (-7 + 17864\/1274)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1169\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163.4 + 163. Let w = -3 - -3.05. Which is the nearest to w? (a) -0.1 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.399 and 3.\nAnswer: 4.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 3*f**2 - 3*f + 7. Let x be o(-5). Let t be (x\/2)\/(0 + -1 + 3). What is the common denominator of -67\/48 and t\/12 - (1 + 3)\/(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = 7062 - 6974 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-426)\/(-9) + (-5)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 0.1534, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 51.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(0 + -1))\/((-15)\/120*-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 136*k + 3840. Let v be q(103). What is the highest common divisor of 1071 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -291463552*q**3 - 319291080*q**2?\nAnswer: -1748781312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -449*m**2. Let r(i) = 10444*i. What is r(a(x))?\nAnswer: -4689356*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q**2 + 38*q**2 + 22*q**2)*(-5 + 5 + 7*q).\nAnswer: 308*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*w + 2*b + 11, -4*w + 4 = 2*b. Suppose 66*a - 40 = 56*a. Put -1, w, a in decreasing order.\nAnswer: a, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + z**2 + 11 + z**3 + 10*z**2 + 9*z - 3. What are the prime factors of m(-11)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2678*p**2 - 21444*p + 142. Determine c(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + l + 30, 4*f + f - 144 = 2*l. Let r = 48 - f. Suppose 0 = -9*d + 13*d - r. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 247205326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = -1. List the prime factors of -1 + 7 + -1 + c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 183 (b) -1 (c) -3\/4 (d) 1\/3 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*-1*3 + (sqrt(1053) - (sqrt(1053) + 1 + sqrt(1053)))*-4 + 5)**2*-3.\nAnswer: -3402 - 486*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 224.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1463 (base 7) to base 6.\nAnswer: -2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**7\/210 + b**6\/48 - b**5\/40 + 8*b**2. Find v, given that k(v) = 0.\nAnswer: -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2133 and 112087728?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -2\/19, -12.8, 42, 2\/5, 1\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f + 57*f + 9 = 0. Let n = f - -8. Suppose -5*c + v = -105, -4*c - 39 = -n*v - 123. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -477\/8 - -59. Suppose 83*f - 254*f = 982 - 298. Which is the nearest to -1? (a) -4\/7 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -21*n - 1. Let r(v) = 41*v + 3. Give 5*q(s) + 2*r(s).\nAnswer: -23*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 13) in base 2?\nAnswer: 1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6*g - 11 = -5*g, 0 = 5*a + 4*g - 31. Suppose a*s + s = 52. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (317 - 311 - 3*y**3 - y**3)*(0 + 3 - 1 + 13 - 8 + 5 + (1 + 1 + 0)*(0 + 3 - 5) - 2 + 0 + 1).\nAnswer: -28*y**3 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 9. Let t be p(-1). Let n be (-2)\/3*36*t\/5. Which is greater: n or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 1 - -3*1. Let q(t) = -11*t - 14. Let b be q(-8). Let g = 78 - b. Solve 0 = -r*i + g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665107 is divided by 3695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-12 - -8) - (85 - 55).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 5*m**3 - 2*m**3)*(2 - 3 + 0) - 79*m**3 + 39*m**3 + 9*m**3 + (-3*m - m + 2*m)*(-2*m**2 - 2*m**2 + 2*m**2).\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + b - 2*b + 106594 = 0, l = 2*b + 106585. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 6\/4)\/((-642)\/4708). Let h(t) = 4*t**2 - 4 + 6*t - 6*t**2 + 3*t**2. Let n be h(-6). Put n, 4, b in descending order.\nAnswer: 4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 24282804?\nAnswer: 267110844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*c**6 - 8*c**2 + 20*c**6 + 29*c**6 wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-18)\/l*l**(-1\/4)*(l\/(l\/((l\/(l*l**26))\/l*l)*l*l)*l)\/l**(-7) assuming l is positive.\nAnswer: l**(-157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*h - 7. Suppose -4*l = -h*r + 6, 0 = -5*r + 3*r - 4*l + 6. Suppose -5*z = -r*b - 607, 0*b + b = z - 123. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/3395 + 3224\/11640.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/75 and 62\/33.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/20 + 27*w**4 + 72*w**3 + w - 20. Find the second derivative of m(c) wrt c.\nAnswer: 6*c + 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - h - 273 + 367 = -2*l - 4*h, 2*l = 17*h + 546 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457 is divided by 63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003317663974 to 7 dps.\nAnswer: -0.0000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1600560 = 189*y - 59*y. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 = -u - f, 5*u + 3*f = 23. Suppose 4*g + u = 6*g. Suppose 2*n = g*d + 5*n - 17, -d = -2*n - 12. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20371 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461955415.\nAnswer: 5, 92391083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599202899 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + 3*(-2 + (-5 + sqrt(320) + 1)*-3) + 4))**2.\nAnswer: -78336*sqrt(5) + 433216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 1411?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:16 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 493 + -487. Suppose 0 = g + 119 - 29. Let t be 4\/6 - (-51)\/g. Which is the nearest to -2\/7? (a) 0.5 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1148058 to four decimal places.\nAnswer: 0.1148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = -266. Suppose p = k - 4*p - 78, p = -3*k + m. Round k to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*d + 200*d + 127*d - 662*d.\nAnswer: -148*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 5)\/(4 - 3). Let t(y) = 6*y. Let q(d) = 7*d - 1. Let h(o) = n*t(o) + 4*q(o). Differentiate h(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129.3 + -129.5. What is the closest to 1 in 0.3, 0.008, j, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/8 (b) -7 (c) 0.4 (d) -2107 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ememteettetteeeete. Give prob of sequence tm.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -238432 at least -238413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13403 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/1576821 and 13\/3?\nAnswer: 1576821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23066 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 166? (a) 1 (b) 5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.3, 693, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4085 divided by 3\nAnswer: 4085\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 345*l - 1294. Let a be k(4). Solve 25 = -5*n + 81*j - a*j, 4*n + j = -14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -364, -1124, -2576, -4948, -8468, -13364?\nAnswer: -19864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*k - 16, 3*n - 2 = 4*k - 12. Suppose 3*z + 10 = 3*j - 2*z, n*j - 4*z - 6 = 0. Solve -2*t + j*t = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, 52, 107, 184, 283?\n\"Answer: 11*q**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o - 116. Suppose 17534*j + 324 = 17522*j. Give h(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*n - 25, -3*n + 7*n = -2*l + 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/50 - (-813)\/(-15))\/(-1). Let k(x) = 35*x**3 + x**2 - x - 1. Let w be k(-1). Let v = w + a. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -13.\nAnswer: -13, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17394*m**5 - 5*m**3 + 151849*m**2 + 1?\nAnswer: -1043640*m**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.56 or 678\/3095?\nAnswer: 678\/3095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/2*(-2)\/(-15). Let x be 0\/((-1)\/1 + 0). Are h and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m + 2. Let s be t(2). Suppose -3*h = h - 32. Let f be (1 - 2) + 5\/(70\/h). Which is the closest to s? (a) f (b) 5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 2620629 - 2620629 + 29621*h as y*h + i and give y.\nAnswer: 29621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x. Let i(o) be the first derivative of 2*o**3\/3 + o**2 + 4. Let j(g) = -5*i(g) + 14*m(g). What is the second derivative of j(q) wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1571 - 1372*c + 2748*c - 1374*c)*(-4*c + c + 2*c) in the form p*c + f*c**2 + v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 5*r**9\/252 - 5*r**5\/12 + 9*r**2 - 3. Let c(y) be the second derivative of v(y). Find the third derivative of c(j) wrt j.\nAnswer: 1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/170 and -121\/170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -15*l + 105. Let f(j) = 2*j**2 + 29*j - 59. Let s be f(2). Calculate i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 251.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -6. Let x = -4 - f. Solve x*r - 3*r - 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 26\/(-28))\/(25\/(-1800)*3)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915*p**3 + 250*p**3 + 227*p**3 + 216*p**3 + 224*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.178 * 0.4.\nAnswer: 0.0712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n - 8*n + 47*n + 18*n. Let -1\/4*h**5 - 13\/4*h**3 + n - 3\/2*h**4 - 3*h**2 - h = 0. Calculate h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akk when three letters picked without replacement from {a: 3, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2010, -4021, -6032, -8043, -10054, -12065?\n\"Answer: -2011*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/7 + 78760*p**2\/7 - 314816*p\/7 - 7560192\/7 = 0.\nAnswer: -8, 12, 39376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v + 3755 + 3666 - 7421.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -24163.6 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6574382?\nAnswer: 2, 37, 88843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 + 0.73. Let l = -2.6 + z. What is the nearest to 2 in l, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102221001 - 20012?\nAnswer: -110011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81026740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*m + 821*m + 14475 = 0 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**5\/5 + 12*u**4 - 184*u**3\/5 - 384*u**2\/5 + 512*u\/5 = 0.\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 578 + 614 - 26*i**2 + 23*i**2.\nAnswer: -3*i**2 - 4*i + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*v = -41*v - 456. What is the lowest common multiple of (-124)\/(-10) + 8\/(-20) and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*x - 3 = x, 0 = 2*m + 2*x + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3864014732.\nAnswer: 2, 966003683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + (38 - (4 - -28)) + (-6 - (2 - 2)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 600*w**2 + 37*w - 7. Is v(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 3\/4 (c) 0.3 (d) 31\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 12*j**2 - 399*j - 8. Let x(o) = 5*o**2 - 210*o - 4. What is -2*m(s) + 5*x(s)?\nAnswer: s**2 - 252*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.03822 kilograms to tonnes.\nAnswer: 0.00103822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 8*g**2 - 7*g + 2. Let x = 21 - 14. Let s be q(x). Suppose -4*l + 6 = -5*v + 13, 0 = s*l - 3*v + 5. Solve 3 - 9 = l*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.1854933, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*h = -8, 4*h = -3*a + 7 - 2. What is the second derivative of -9*r**3 + 6*r**3 - 18*r + 16*r**a wrt r?\nAnswer: 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - (27 + 12 + -39)) + 69 + -4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 580*k**4 + 1037 wrt k.\nAnswer: 2320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t\/(t\/(t**(2\/25)*t))))*t)\/t)\/t**1*(t\/(t**(-2\/3)\/t*t))**(43\/3))**27 assuming t is positive.\nAnswer: t**(16854\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32915915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 2068*g - 8288.\nAnswer: (g - 4)*(g + 2072)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/90 + 141\/45. Suppose y = 4*t + 15, -2*t + 20 = c*t. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6215 is divided by 395?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*l**3 + 0 - l + 1\/4*l**4 - l**2.\nAnswer: l*(l - 2)*(l + 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 232\/3. Let z = -17083 - -85411\/5. What is the closest to n in z, -1\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/35, -2\/13, -2\/11, 3\/631, -1\/2, 5.21, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 32 = -2*w, -4*w + 8*a - 11*a - 13 = 0. Suppose 3*c = -5*s + 24, -4*s - 5*c + 2*c = -21. Solve s*n = w*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9461888 not equal to -9461894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from gggggrggggtggggggggg?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.74356ng in micrograms?\nAnswer: 0.02674356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34151*a*g*k*r**3 - 3*a*g*k - a*k*r**2 - 12*a*k*r + g*r + 200*k*r**3 - 7856*k*r**2 - k wrt r.\nAnswer: 204906*a*g*k + 1200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 544\/18 + 24\/(-108). Suppose 0 = -3*b + 174 - o. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from jccrjnnrjjjjcjcjjjjj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s - 6*s)*(-4*s + s + 6*s) + (12 - 12 - 7*s + 7 - 7 + 4*s + (-3 - 2*s + 3)*(0 - 3 + 4))*(2*s - s - 2*s).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (42\/5)\/((-30)\/(-375)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4560 and 1772529?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 0 = -5*z + 50, 0 = 43*z - 45*z + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 29 - 5*m**2 - 29. Let i(f) = 2*f + 5. Let x(o) = -o**2 - 10*o - 5. Let s be x(-10). Let z(h) = 3*h + 6. Let t(b) = s*z(b) + 6*i(b). What is c(t(n))?\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -351 + 355.13. Let w = p - 4.12999701. Round w to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/1620 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -4*o - 49. Let f be 198\/o + 16\/(-56). Suppose 7 = -7*n - f. What is the closest to -0.1 in -0.3, -2\/5, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2794823 is divided by 139?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**3\/6 - 11*c**2\/2 + c. Determine m(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251533909 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -56. Let w(q) = -95*q - 1. Let n be w(f). Let b = 678 - n. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntnwnsnttnnnnn. What is prob of picking 2 t and 1 w?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 753, 5, -2, 3 in decreasing order.\nAnswer: 753, 5, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 + 124*q**2 - 9610*q.\nAnswer: -2*q*(q - 155)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5361*h + 3288?\nAnswer: 5361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1860 divided by 4.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7279 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2333*c**2 + c + 1. Let q be g(2). Suppose -5*i - q = -10*i. Let l = i - 18649\/10. Find the common denominator of l and 5\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m + 6 - 1 - 5.\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 1, k: 1, r: 3, h: 1}. Give prob of sequence bhk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 3*d + d)*(0 + d + 0)*((-2 + 1 + 0)*(0 + 3 - 1) + 0 - 4 + 2) as s*d**2 + u*d + w and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2 + 28*q - 170 with respect to q.\nAnswer: -2*q + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**8\/3360 - h**7\/420 + h**6\/144 - h**5\/120 - h**3 + 1. Let r(t) be the third derivative of a(t). Factor r(x).\nAnswer: x*(x - 2)*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 14 = -5*w, -446*b - 3*w - 8 = -448*b. Let p(a) = a**3 + 10*a**2 + 10*a - 7. Let m be p(-8). Put m, -5, 4, b in descending order.\nAnswer: m, 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 231*c**2 + 4*c - 3*c - 180*c**2 + (-4 - 2*c + 4)*(0*c + c + c) + c**2 + 0 + 0.\nAnswer: 48*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20181.04 years in centuries?\nAnswer: 201.8104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30778, -30792, -30806?\nAnswer: -30820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201120 + 21?\nAnswer: 201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4321294816 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**3\/3 - 6. Let v(x) = 4*x**2 + 0*x**2 + x**2 + 0*x**2. What is v(b(i))?\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) 1\/3 (c) -0.2 (d) -11\/24 (e) -2 (f) -91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 19, 27, 35, 43, 51?\n\"Answer: 8*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**4\/4 + 8*o**3\/3 + 2*o + 17. Let a be h(8). Solve -5*c + a = 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27806 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 47.052. Let g = p - 0.718. Let z = g + 0.67. Which is smaller: z or 0.11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q - 37 + 3*q - 12*q + 5*q. Let i be j(15). Solve -n - s = 2*s + i, n = s + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/4633 - -9276\/23165. What is the fifth biggest value in j, -222, -5, -4\/9, 2?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28730)\/(-1105)*17\/26.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 110 = -10*t. Let a(i) be the third derivative of 0*i - 9\/20*i**5 - 11\/8*i**4 + 0 - t*i**2 - i**3. Let a(z) = 0. What is z?\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -4, 36?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*r + 536, 0 = -5*r + 4*r + 4. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -136 (c) 2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.095491649267775 and -0.3?\nAnswer: 0.395491649267775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18672 divided by 1\nAnswer: 18672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {g: 3, p: 3, b: 1, m: 2, n: 1, k: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49.2 at least 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28044)\/191634 - 628\/(-2050).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.85 - -0.99. What is i rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - r = -5*r, 4*k - 5*r - 55 = 0. Let w = -364 - -384. Calculate the smallest common multiple of w and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(25\/90*3)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 2\/5, -3\/7.\nAnswer: -3\/7, 1\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19924773 or 19924777?\nAnswer: 19924777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22225181 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/(-3) + (-216)\/(-48). Let c(w) be the third derivative of 0 + 49\/15*w**5 + w**2 + 14\/3*w**h + 0*w + 8\/3*w**3. Find j, given that c(j) = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*p = 6, 4*o - 4*p + 4 = 8*o. Let t be o\/(4\/30*3). Suppose -2*m = 2*b + 2*b - 5598, -t*m = -5. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130463?\nAnswer: 283, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24797 and 548?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82944 divided by -6?\nAnswer: -13824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10*y = 5*y + 90, -w = 4*y - 94. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 5*a + a + 0*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2 minus -303987071.64?\nAnswer: 303987064.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.4 - -20. Let b = 7.35 + -0.35. Let v = -58 + 56. What is the fourth biggest value in b, v, c, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -20\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 7408.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333460926 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -2\/19 (b) -5\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 25*i - 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2651894 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.21 + -2.3. Let j = -7.91 + l. Let w = j + 8. Which is the third biggest value? (a) w (b) 1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(36)\/(sqrt(27)\/sqrt(3))) + 4 + (sqrt(396) - (sqrt(396) - sqrt(396)*2)))**2.\nAnswer: 104*sqrt(11) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -636 - -636. Which is the third smallest value? (a) g (b) -0.3 (c) -4 (d) -13.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5271*b**2*r**3 - 17*b**2*r**2 - 2*b**2 + 80*r**2 wrt r.\nAnswer: -31626*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54433 + 54433 + 208*f to the form p*f + u and give p.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:04 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -16*i**2 - 25. Let s(v) = v - 2783. Calculate d(s(q)).\nAnswer: -16*q**2 + 89056*q - 123921449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewewmdeewmmpppwwfwpf. What is prob of sequence ww?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -410 - -393. Let k = c - -15. Let p be (1\/1)\/3 + 1. Sort p, k, -0.3 in decreasing order.\nAnswer: p, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 130131 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8154124\/(-143) - (-6)\/(-39). What are the prime factors of z\/(-70) + 3\/(-5)?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4 - 494134*z**3 - 4446882*z**2 + 40023126*z - 66705660 = 0.\nAnswer: -247058, -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -42. What is the remainder when 26 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + p + 2. Let m(i) = 6*i**2 - 4*i - 8. Let h(u) = -m(u) - 4*y(u). Let t(o) = 854*o + 2. Determine h(t(l)).\nAnswer: 1458632*l**2 + 6832*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 3*y**2 + 3*y**2)*(y**2 + y**2 - y**2).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-3 - (-112)\/18). Let k = -130 + 652\/5. What is the nearest to d in 1, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672 is divided by 449.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 50\/23, 48, 0.078?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 634937, 634933, 634927, 634919, 634909, 634897, 634883?\nAnswer: 634867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + f)*(3 - 3 - 2) + 2 + 3*f - 2 + (-1416*f + 2542*f - 1336*f)*(-6 + 2 + 2) + 3*f - 6*f + f.\nAnswer: 419*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 15*z - 20.\nAnswer: 5*(z - 4)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/4, -34 in descending order.\nAnswer: 1\/4, 0.1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 9\/20*q**5 + 0*q + 0*q**3 + 11*q**2 + 0 + 2\/105*q**7 + 0*q**4 + 0*q**6. Find the third derivative of h(x) wrt x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**3 - 64*h**2 - 1232*h - 6272 = 0.\nAnswer: -28, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(91))\/(-1*sqrt(7)*5 + sqrt(7)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96571 (base 10) to base 3.\nAnswer: 11220110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 8*a**2 - 5*a + 7. Let n be y(7). Suppose 4*s - 3*o = 348, -s + o = -2*s + 80. What is the greatest common divisor of n and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -523 - -487. Let u = -160 - w. Which is smaller: -123 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-240)\/(-3))\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 38*y + 37. Give n(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1662275929?\nAnswer: 17, 6011, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/60 + p**4\/3 - p**3\/6 - 5*p**2. Suppose 8*a - 9*a = 0. Suppose g + 5*x + 10 - 2 = a, -x = -4*g - 32. Give h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59687 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: Rearrange -2 - 7 + 103*x + 10*x**2 - 7*x + 3 + 7 to q*x**2 + f*x + b and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68982467*g**4 - 56862*g + 194.\nAnswer: -827789604*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4 - i**3 - 5 - 12*i - 4*i**2 - 8*i**2. Let j be u(-11). Suppose -2*x = -3*a + 20, -3*a - j*a = 2*x - 12. Which is greater: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 243. Let a(o) = 32*o + 8. Let f(v) = 21*v + 5. Determine g*a(h) - 8*f(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:08 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/14)\/((-878)\/(-872) + -1). Let j = g - 62. Suppose -60 = 3*i - 2*m + 5*m, 0 = 5*m. Which is the smallest value? (a) j (b) -3\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a5b + -2?\nAnswer: -5a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-243)\/12))\/4*-2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537.9672 litres to millilitres.\nAnswer: 537967.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 74 + 71 = -5*c, -3 = -4*a + c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -83*l**2 + 13*l - 5. Let u(m) = -8*m**2. Calculate c(u(b)).\nAnswer: -5312*b**4 - 104*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (0 + 150)*5\/((-30)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 3*w**3 + w**2 - 6*w + 19. Calculate the remainder when i(-3) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 551280203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9389.71 + 0.3.\nAnswer: 9390.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**2 + n**3)*(7*n + 17*n + 1 - 13*n).\nAnswer: 11*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-2 + 1700*-5750). What is c rounded to the nearest 100000?\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**6\/80 + 3*j**5\/40 + 3*j**4\/16 + j**3\/4 - 3*j**2 + 4. Let m(w) be the second derivative of l(w). What is f in m(f) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(6)\/(sqrt(2)*1))*-6*5.\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 537789057, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107057 and -0.4997.\nAnswer: -53496.3829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 8, 5, 19 in decreasing order.\nAnswer: 19, 8, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2\/10 + 15589560\/(-77950425)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n - 28. Differentiate -4 - 31*g**2 + 17*g**2 + n*g**2 - g**3 wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 10. Let x be z + -1 - 1\/12. Let r be (-1 - -2)*3\/6. What is the smallest value in r, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 88*j**2 - 3*j - 255. Let u be h(-88). Solve -u*y = 94 - 49 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1047 - 670. Calculate the smallest common multiple of d and 116.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**5 - 54301945*p**4 - 230794743*p**2 wrt p?\nAnswer: -60*p**2 - 1303246680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 p when three letters picked without replacement from {p: 8, m: 1, z: 4, k: 1, o: 1}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 81 = -a, -126*s + 4*a - 33 = -125*s. Let r(h) = h + 28. Give r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*q - 12, -q = -2*q + 4*n + 17. Is q greater than 4\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214*l - 31*l + 48*l - 1)*(-2 + 0 + 1).\nAnswer: 197*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -1 - (-1)\/(-2)*(-304 + -10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + a + 2. Let s(x) = 3*x**3 + 5*x**2 - 2*x + 9. Determine 5*n(o) - s(o).\nAnswer: -3*o**3 + 7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 6. Let x = -2 - k. Let y = 4 + -2. Calculate the remainder when y is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 + 570*j + 227328\/5.\nAnswer: -3*(j - 1024)*(j + 74)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f + 6 - 228 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(2\/7)*w*w*w*w*w)\/w*w*w**(10\/7))\/((w*w**5)\/(w*w**(-20))) assuming w is positive.\nAnswer: w**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -2, -4, 2, 2022 in increasing order.\nAnswer: -4, -2, -1, 2, 5, 2022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102524255 and 1405?\nAnswer: 102524255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2013?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -230.2, -1, -0.5, -5.34?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.996 - 0.004. Let k = -27.8 - x. Let z = 10.6 + k. Round z to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730486 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 5*b - 88. Let t = 28 + b. Suppose -12 = n - 4*n. What is the highest common factor of t and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 bigger than 544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -3 - 5) + 5. What is the units digit of (a\/3)\/((-12)\/(-162))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4825?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 20. Suppose b + 3*f = 3*b - q, 4*b + 3*f - 23 = 0. List the prime factors of 190\/b - 21\/28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 12:00 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, m: 6, c: 4, g: 6}. Give prob of sequence mgc.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79617, 641862, 2167957, 5139828, 10039401, 17348602, 27549357, 41123592?\n\"Answer: 80321*v**3 - v**2 + v - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 96*m + 994. Calculate j(-77).\nAnswer: -3472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ipopp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 362, 384, 426, 494, 594, 732, 914?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:40 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2422165 is divided by 1169?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*k**2 - 14*k**2 - 7*k**2 + 3 + 2*k**2 - 3 + (-3 + 1 + 0)*(3*k**2 + 3*k**2 - 8*k**2))*(4*k**2 + 3*k**2 - 3*k**2).\nAnswer: -120*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 7 + 3*w**3 - 16*w**2 + 16*w**2 to d*w**3 + n + o*w + z*w**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*r - c, 7*r - 2*r - 10 = -3*c. Let d be ((-26)\/(-8))\/(r\/8). Suppose f - d = -5. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 1377162.\nAnswer: 13771620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0*o - 3*o + 2, -5*o = -5*b. List the prime factors of (b - (-6)\/4)*-16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -78. Which is the closest to -1? (a) 1\/3 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.151 + -0.851. What is the second smallest value in 5, -5, 0.02, 0.3, r?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5\/4 + 31*v**4\/2 + 103*v**3\/4 - 655*v**2\/2 - 1419*v - 1530 = 0. What is v?\nAnswer: -6, -17\/5, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-16)\/(-18))*2. Let p(x) = 0 - h*x + 5*x - x**2 - 3. Give p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = 1. Suppose -5*w = -8 - 2. Suppose w = -y - 0. Which is greater: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 12*o**2 + o + 7. Let h = 16 - 5. Let b be z(h). Let l = b + 163. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -59. Let n = -47.6 + 48. Let j = 0.1 - 0. Which is the closest to j? (a) n (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.29 + -0.31. Let h = 2.60064 + g. Round h to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-5)\/10*2. Suppose 0*y - 241 = -3*y + 2*r, -l*y + r + 318 = 0. Let s(c) = c**2 + 2*c - 4. Calculate the remainder when y is divided by s(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555969316?\nAnswer: 2, 11, 35362939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/(h\/(h*h\/h**(1\/3)))*h*h*h)\/h)\/h)**(9\/4))**(-1\/9))**(-15\/4) assuming h is positive.\nAnswer: h**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 62000 to the nearest one thousand.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) 3\/5 (c) -0.5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3\/4 - 63*a**2 - 5031*a\/4 + 5547\/2 = 0. What is a?\nAnswer: -43, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3035)\/(-1515) - 2). Suppose q + 99 = 6*u. List the prime factors of u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*y + 3*z, 14*z = 4*y + 17*z - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5380821 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 1. Let x be (-14)\/21*(72\/(-2) - -3). Suppose -2*k + 4*o + x = 10, 2*o + 12 = 4*k. Suppose k*r - 2 + 10 = 0. Determine w(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36989, -36988, -36987, -36986, -36985, -36984?\nAnswer: -36983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + 1\/(-1) + 1. Let h = 579 - 578. Solve -h = -5*a - j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 22102100110212?\nAnswer: -22102100110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 307707420 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 8 - 27. Suppose -l = -g + 17. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 813*f**4 - 140 wrt f?\nAnswer: 3252*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 21899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y**(3\/7)*y)\/y)\/y))\/(y*y\/(y\/(y\/(y**(-9)*y)*y)))*y**(3\/16)*y**18 assuming y is positive.\nAnswer: y**(981\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 50, 74, 94, 110, 122?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -176881*c**4 + 3*c**2 + 740632.\nAnswer: -707524*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 381591 and 1399167?\nAnswer: 4197501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n - 15. Let o(l) = 628 + 542 - 1139 - 13*l. What is 9*k(b) + 4*o(b)?\nAnswer: 2*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11510494 is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477243019?\nAnswer: 7, 37, 5703641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.100043. What is k rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105984977 to the nearest integer?\nAnswer: 10295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 1\/6*j**3 - 5\/2*j + 4\/3.\nAnswer: (j - 1)**2*(j + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/3960 and 7\/324?\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98465638 is divided by 4970.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = 4*m - 332. Suppose 4*k - 3*v + 166 = m*k, 2*v + 316 = 4*k. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/7 - 12*g**2 + 82*g\/7 = 0. What is g?\nAnswer: 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(11\/(-2)*(-20)\/55)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-156)\/208)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t - 3*u + 879 = 0, -3*t = u - 1322. Let o = t + -313. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -58. Let u = v - 6. Which is the nearest to 1? (a) 0.4 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - 1274*i + 7750. Give r(6).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6230 plus -0.303495404?\nAnswer: 6229.696504596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let f = 0 + 3. Suppose -2 - 4 = -f*b. Let i(m) = -17*m - 2*m**b + 17*m. Calculate v(i(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3989, 5, 1 in ascending order.\nAnswer: 1, 2, 5, 3989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:39 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -531 + 507. Which is the fourth biggest value? (a) 5 (b) -0.3 (c) 5\/4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 c when three letters picked without replacement from cwwwwwwcwwwwwcwwccw.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4231 (base 5) in base 16?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -9*y + 7*y. Let p be 2\/6 - (-448)\/6. Suppose b + y*b = p. Solve 0*f = 3*f - 4*o - 12, 5*o + b = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 32*w + 1723. What is the tens digit of b(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*f + 15 + 33, -2*h - 4*f - 6 = 0. Suppose 0 = -o + 1 + h. Calculate the greatest common factor of 20 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 100 = 4*x. Let i = x - 11. Let p = i + -155\/4. Which is the second biggest value? (a) p (b) 4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5*v = 23, -37 = 2*j + 3*v - 32 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -7 + 3 + (17 - 22) + 6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + 440\/(-50) - 76\/(-20). Which is the second smallest value? (a) -7 (b) g (c) 2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y - 98*y - 5*y - 2 + y + 2 - y + 2 - 2 + (-3 + 1 + 4)*(0*y + 6*y - 4*y) - y + 3*y - 3*y + y + 0 + 0)*(3*y - y - y)*(2 + 1 + 0).\nAnswer: -321*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.028 and -0.0436476.\nAnswer: 0.0012221328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*l - 70 = -205*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.26301 * -464\nAnswer: 122.03664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*c - c + 161, 2*c + 62 = g. What is the greatest common factor of g and 1638?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -103*q**3 + 63*q**2 + 51*q. Let n(v) = 310*v**3 - 168*v**2 - 154*v. Give -8*i(z) - 3*n(z).\nAnswer: -106*z**3 + 54*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o**3 - 145*o**2 + 60*o + 100 = 0.\nAnswer: -10, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/38*2*12. Which is bigger: -33 or d?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/11791507 and 169\/5442234.\nAnswer: 70749042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1486 (base 9) to base 12.\nAnswer: 7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121002 - 1210?\nAnswer: 1112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4103403242 (base 5) in base 3?\nAnswer: 120112210122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(68) - 1*sqrt(68))*-3*-6)\/((6*2*sqrt(400) + sqrt(400) + sqrt(400))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 - s - 1. Give v(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-2 + 2 - c + 0*c - 3*c + 2*c + (1 + 3 - 2)*(4*c - 2*c + 0*c) - c + 0 + 0 - c + c + c - 5*c + 0 + 0).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, l: 7}. Give prob of sequence llll.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 + 0.196\nAnswer: -0.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and -10.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 276644098.90818 + -275263574.8521729. Let v = 1380524 - r. Let p = v + 0.056. What is p rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-961)\/7 + ((-28)\/49)\/(-2). Let c = 137 + n. Solve c*l + 3 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455822272 a multiple of 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 18 = -3*y, 25 = 5*x - 2*y + 7*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 1:28 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2212000122 + 223?\nAnswer: -2211333233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.347853 minutes?\nAnswer: 560.87118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2396 or -16770\/7?\nAnswer: -16770\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180033210 by -4286505.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 3. Let f be k(-1). Let o(c) = c**2 + c. Let g(b) = b. Let p(z) = 4*z**2 + 4*z. Let q(r) = 3*g(r) + p(r). Give f*o(t) - q(t).\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2*5\/190). What is the third derivative of -2*b**2 - 21*b + 2*b**2 - 56*b**3 + u*b - b**2 wrt b?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 24*n**2 - 20*n + 124. Determine k(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -14 + 18. Suppose -h + 3*l = 2*h, -f*h + 5*l = 5. Solve 3*d - h = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*i + 30*i + 9*i - 192 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -26709?\nAnswer: 8012.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*u + 5 = 0, 3*z = -1174*u + 1165*u - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5 - 7*w - w**2 - 1 - 1. Let l be b(-5). Suppose l*k = 6*k - 18. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170069747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, 23, -1, 1 in descending order.\nAnswer: 23, 2, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-72)*135\/12)\/((-2)\/(-8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1178 + 589 + 847*f + 589 + 276*f.\nAnswer: 1123*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3 - 7*l**2 + 70*l - 104 = 0.\nAnswer: -13, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1351877, -2703856, -4055835?\nAnswer: -5407814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -13522.795?\nAnswer: 4056.8385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 12 = -15*f. Suppose 0 = u - f*u. Let q = 2111\/9 - 235. Is u <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 186*i**2 - 1128*i + 8633. Give j(180).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.3 (b) -1.84 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 133146 from -0.264932.\nAnswer: -133146.264932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + 2*(sqrt(76) + 2)))**2 + ((sqrt(76) + (sqrt(76)*-1 - sqrt(76)))**2*-6 + 2 + sqrt(76) + -4 + sqrt(76))*6.\nAnswer: 11112 + 2616*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16055 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 208876 to the nearest one thousand.\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3237, 9, -0.2217, 1\/8.\nAnswer: -3237, -0.2217, 1\/8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9945+-0.120062821\nAnswer: -9945.120062821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -363, -367, -375?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -22*p**2 + 23*p - 7. Suppose j + 14 = 3*v - 4, 4*v - 5*j = 24. Let n(k) = 45*k**2 - 45*k + 13. Let x(o) = v*n(o) + 10*b(o). Factor x(c).\nAnswer: 2*(5*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3126, 45 in increasing order.\nAnswer: -1, 45, 3126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f**2*i + 173*f**2 - 193*f*i - f - 605*i - 65316 wrt i?\nAnswer: -7*f**2 - 193*f - 605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 + 7*p - 7 + 1.\nAnswer: 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5278 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.1, 11.1, -1458, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10 = -m, m + 20 = 2*s + 5*m. Suppose 0 = -g - s*y + 10, 0 = 5*g - 2*g - 2*y - 22. Let o be (4\/(g\/6))\/(-2). Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 4. Let n(d) = d**2 - 16*d + 6. Let j be n(0). Let b(t) = 3*t - 5. Give j*b(r) + 7*c(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 16, v: 2}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18368 is divided by 171?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f - 2. Give m(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 0*m + 4*m)*(3*m**2 - 5*m**2 + 5*m**2) + 3*m**3 - 3 + 3 - 2*m**3 + 3 - 3 + 2*m**3 + 0*m**3 - m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.58803 - 0.08803. Let r = 7.029 - 0.129. Let c = 7 - r. What is the second smallest value in 1, c, 0.8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-9))\/h**4*h**(-2\/5)\/h**(-3) assuming h is positive.\nAnswer: h**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -32. Let x = 15 + z. Solve 4*q - 2 = -2*d, 4*q + q = x*d - 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**4\/12 - u**3\/6 + 77*u**2\/2 + 4*u. Is l(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*p - 23919 = 1598*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + a)*(5 - 5 - a) - a**2 + 2*a**2 + a**2 + 180 + 121*a**2 - 180 + (-1 - 4 + 7)*(-1 - 2*a**2 + 1).\nAnswer: 121*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**3 - 41*w**2 - w + 40. Let k(f) = f**3 + 8*f**2 - 8. Let i(r) = 11*k(r) + 2*p(r). Let y be i(-6). Let u = -4 + 0. Sort y, u, -1.\nAnswer: u, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {q: 5, x: 4, n: 2, m: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 13*g - 15. Let i be h(12). Let z(s) be the third derivative of -4*s**2 - 1\/3*s**3 + 1\/24*s**4 + 0*s + 0. Determine z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.65 + -30.8. Let g = 0.6 - -0.4. Let b = 0.16 + -0.06. What is the closest to b in -2\/5, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 911.2686ug?\nAnswer: 0.9112686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 489312 and 216.\nAnswer: 1467936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 0 - (2 - 0). Let a be 9894\/21*(-2)\/l. Let j = a - 235. Find the common denominator of -43\/3 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/((-760)\/(-540)) + -47\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-133)\/418*-1.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - 5) + (-7 + 1 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = m + 2*r, r + 4 = -0. Let x = 1340 - m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/13)\/k*k)\/k)\/k**(-3))\/(k\/(k*k*k**(-2\/7))*k*k*k**(2\/5)*k) assuming k is positive.\nAnswer: k**(-242\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3289, -3291, -3293?\nAnswer: -3295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27437192, -27437214, -27437250, -27437300, -27437364?\n\"Answer: -7*p**2 - p - 27437184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*v**2 - 6*v**3 - v**2 - 5*v**3 wrt v.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 13*q**2 - 195*q - 2101. What is the thousands digit of t(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/20 - f**4\/12 - f**3\/3 + 1244*f**2. Determine l(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303344 - -43414?\nAnswer: -204430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 i when three letters picked without replacement from {i: 3, v: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*i - 3, 2*i - 34 = -5*c - i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2929.7178 + 2930. Let w = 0.34 - z. What is w rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68808799 to the nearest integer?\nAnswer: 8295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 64 (b) -20\/9 (c) -4\/7 (d) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8652 by 2.\nAnswer: -4326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18 + 10\/36. Let f = -6613\/4 + 1653. Let u = -29 + 29. What is the closest to u in 3, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 120\/28) + 16\/7. List the prime factors of (v - 5) + -13 + 202.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - sqrt(600)\/(sqrt(40)\/sqrt(4)))\/(sqrt(24)\/(sqrt(8)*-1)) + 6*(sqrt(320) + 1) + (-1 + sqrt(5))**2*-6 + (sqrt(5) - (1 + sqrt(500))).\nAnswer: -31 + 51*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11057 + -10801. Is 242 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*v - 9*v - 72 = 0, -5*w - 2*v - 84 = 0. Let p(s) = -s**3 - 17*s**2 - 21*s - 1. Give p(w).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6*2)\/(-2). Let l = 93 + 237. Let w = -330 + l. What is the smallest value in -3, r, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 4 + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 89. Suppose -x*k + 19*k = 15585. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -362*w**4 - 28*w**3 - 102*w**2 - 70*w - 1 wrt w?\nAnswer: -8688*w - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(2*(-5)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 x, and 1 e when four letters picked without replacement from {y: 1, e: 1, q: 1, x: 1, c: 2, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581381.2 millennia to decades.\nAnswer: 58138120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501579 is divided by 382.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 6366.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (4 + 3 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 3. Let a(j) = j**3 - 9*j**2 - 2*j + 8. Let p = 20 + -11. Let s be a(p). Let d be t(s). Calculate the highest common divisor of 187 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 361531185581512 - 361531185581512.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7093 (base 10) to base 4.\nAnswer: 1232311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76511 is divided by 4850.\nAnswer: 3761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) + 2*sqrt(130))*-2 + (-2*2*sqrt(130) - sqrt(130)))\/((sqrt(100) + sqrt(100)*-3*-1)\/sqrt(10)*4).\nAnswer: -5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - b + 20. Suppose -2*f + 548 = 4*h - 0*h, b*f - 1129 = 3*h. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.9 - -7.02. Let h = 0.631 + -0.011. Let m = q - h. Sort m, 1\/5, 3.\nAnswer: m, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9664682 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: Simplify (z*z**2\/z)**(16\/11)\/(z*z*z\/(z\/(z\/(z*z\/((z\/(z**1\/z))\/z)*z))))**(2\/81) assuming z is positive.\nAnswer: z**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 294ccc78 - 0?\nAnswer: 294ccc78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + b + 1084*b**3 - 39 + 1092*b**3 - 2174*b**3 to the form n*b + x + i*b**2 + d*b**3 + z*b**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -170, -241, -312, -383, -454, -525?\n\"Answer: -71*k - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8062\/3 + 2712. Let l = -25 + f. Do 1.6 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -12 + 121\/2*k**2 - 49\/3*k**3 + 2*k. Differentiate a(b) wrt b.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2686 and -103\/65933242.\nAnswer: 65933242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 224863, 449843, 674811, 899761, 1124687, 1349583, 1574443?\n\"Answer: -x**3 + 224987*x - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 5. Let r(k) = -5*k**3 + 2*k - 1. Let f be r(1). Let v be a(f). Suppose 5*n + v = 28. What is the highest common divisor of n and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -9\/7768 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/49816350 and 14\/184505?\nAnswer: 49816350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.31*-0.362\nAnswer: 1.56022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13372 - b6?\nAnswer: 13289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 1. Let s be x(3). Solve -s*p - 15 = -3*j + 4, 2*j - 9 = -p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*66\/24*12\/(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -295, -4 in increasing order.\nAnswer: -295, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c + 1. Let t(j) = -j. Let m(v) = 11*t(v) + 2*w(v). Give m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 3*h**2 + 3*h**2)*(-11*h - 13*h + 82*h).\nAnswer: -116*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {i: 7, s: 2, h: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 16 = -152. Let v = -52 - c. Solve -q - 4*j - v = 3*q, -2*j = -3*q + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:08 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -110000100 (base 2) to base 8\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 1 + 0 - 2*t**2 + t**2 - 4*t as a*t**2 + m + o*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -469*d**2 + 4331*d**2 - 297*d**2 + 4048*d**2 + (-3 - d**2 + 3)*(4 - 6 + 0).\nAnswer: 7615*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/49, -1, 1\/9, 0.3, 2\/9 in descending order.\nAnswer: 0.3, 2\/9, 1\/9, -12\/49, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 18 = -4*c - c, 2*t - 4*c = -36. Is t != -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-11) - ((-272)\/44 + 4). Suppose -v*t + j = 1, -5*j - 29 = -4. Let s = 2.5 - 0.5. Put t, -0.5, s in decreasing order.\nAnswer: s, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6600*t - 3587. Is c(-37) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let i = 1.48 + -33.18. Let a = i - -31.8. What is the closest to 0.5 in k, -2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27560 and 2132455.\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 + 9 = 0. Suppose -5525 = -o*u + 886945. Let i = -4808494 + u. Round i to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 44\/(-36))\/(((-159)\/(-1431))\/((-1)\/2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 + 2 - l**2 - 2*l**4 + 0 - l + 0*l**2 in the form b + c*l**4 + d*l**2 + m*l + n*l**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. Suppose y = n - 4. Suppose n*c - 65 + 25 = 0. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4627 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142736523 is divided by 941.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.1, 3\/5 in decreasing order.\nAnswer: 3\/5, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 1993. Let v(p) = 98*p. Let u(f) = -130*f. Let i(l) = -3*u(l) - 4*v(l). Determine n(i(m)).\nAnswer: -4*m + 1993","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 2*v**2 - 4*v + 2. Let q be l(4). Suppose f - q = 7. Calculate the remainder when f is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/245)\/(4\/20)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -660\/299 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (8 - (4 - 3 - -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*t = -j - 3, 10*j - 416*t + 100 = -420*t for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhihsiixhgyshhhgsg. What is prob of picking 1 s and 2 g?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/(1\/2) - -9. What is the third biggest value in -2, 5, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 7425456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68819 or -68769?\nAnswer: -68819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334420 is divided by 47773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7499121 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) 2\/5 (c) 0.05 (d) 5\/6 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42190 - 18242. What are the prime factors of b?\nAnswer: 2, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3) + 5 - sqrt(133)\/(sqrt(28)\/sqrt(4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 - 14 = -2*m, 2*s - 6 = 4*m. Let i be m\/((-5)\/((-100)\/5)). Let b(f) = 3*f - 4. Calculate b(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 590*m + 295. Give a(24).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 17 = b, -16*b + 15*b = 5*n - 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*-1*(-9)\/(-3)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 42045*g**4 - 602660*g**3 + 1093385*g**2 + 1008690*g - 360 = 0.\nAnswer: -2\/3, 1\/2803, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 2*d + 6. Determine g(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (292 - 209) + (26 - 172).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*g - 8, 3*g - g = 3*t - 12. What is the second derivative of -3*j**t + 0*j**2 - 2*j**2 + 2*j**2 - 12*j wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 3*r + 3*r + (0*r - r + 3*r)*(0 + 2 + 0) - 3*r + 6*r - 5*r + 4*r - 5*r + 2*r + 0*r + 0*r + 4*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -95*m - 21. Let r be x(-14). Find the second derivative of 175*u**4 - 1507*u - r*u + 2549*u wrt u.\nAnswer: 2100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -178 + 178. Suppose w = 2*j + 2*q + 4, -16 = 4*q - 4. Let y(o) be the third derivative of o**4\/24 - o**3\/6 + 4*o**2. Determine y(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 4*v = 80, 2004 - 1988 = -5*w + 2*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-3))\/((-18)\/(-27)). Solve -5*q - 10 = -5*d, q + 3*d + 2 = z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*y**2 + 156 + 34\/3*y.\nAnswer: -2*(y - 26)*(y + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = -2*c - 3*z, 10 = 5*z. Solve 40*u - 37*u + 6 = c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -321*r. Let q be u(4). What is the common denominator of 207\/(-4)*(-12)\/(-18) and q\/440 - (-6)\/10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -0.97.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 12. What is the remainder when f(-12) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, 37, 76, 115?\n\"Answer: 39*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**27*l)*l**(-23) assuming l is positive.\nAnswer: l**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let q(w) = w + 1. Let d(u) = -m(u) + 2*q(u). Let k be d(2). Let t(v) = v**3 - 5*v**2 + 4*v - 4. Calculate t(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*j - 595 + 2359 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j. Let r(v) be the third derivative of -5*v**4\/24 + v**3 + 423*v**2. What is r(z(h))?\nAnswer: -50*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 2579143.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -134 + 60*g + 280 + 225*g**3 - 2*g**2 - 62*g - 142 + 327*g**3 as f*g**3 + t*g + a + h*g**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -1226383347.\nAnswer: -1226383346.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34997880 rounded to the nearest 100000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1378\/255 + -368113\/170. Let t = 2157 + v. What is the common denominator of -85\/21 and t?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(243) + -1*sqrt(243) + -5 - sqrt(243)) - ((sqrt(243) - (sqrt(243) - (-3 + sqrt(243)*-2 + sqrt(243) - sqrt(243)))) + (1 + sqrt(243))*-4))**2.\nAnswer: -324*sqrt(3) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100.903047 + -1.950747. Let j = c + -99. What is j rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/((-12)\/22)*-3 and 11\/(-4)*-2*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1772*u - u**2 + 1767*u - 6 + 1. Let z be (-4)\/7 - (-248)\/(-56). What is h(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -18*m**3 + 2*m**2 - 3*m - 2. Let g(v) = v**2 + 3*v - 4. Let f be g(0). List the prime factors of h(f).\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3186 and 885.\nAnswer: 15930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -3 - 2) + 4 + 2. Suppose 0 = -4*b + 2*z - p, 3*z + 10 = 4*b + 5*z. What is the nearest to b in 0, -2\/15, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7.158 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 435546778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501145 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: Let u(c) = 87*c - 183 + 105*c - 284*c + 91*c. Let j(m) = 3*m. What is u(j(y))?\nAnswer: -3*y - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 29 = -39. Let f = 30 + u. Suppose 5*p = p - 5*b + f, -5*p - 10 = b. Let l(x) = -2*x**2 - 4*x. Give l(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -427*y - 221. Calculate the remainder when j(-4) is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.133654 + -0.1336. What is o rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52.514 - -48.5103. Let a = f + 4. What is a rounded to 4 dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-18 - -35) + (2 - 5) + 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6))\/(1\/(-4)). Suppose -9 = v + 4*v - 3*a, 0 = 5*v + 4*a - 12. Let x be (1 + v)*(-1 + 4). Solve z*t + x = 5*s + 6, -2*t = -2*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 94*p + 101*p - 6 - 189*p. Let j be z(7). Let r = j + -36. Solve -o = -r*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 55, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5017364034 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 12 = 3*d - 2*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 9*p - 32 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19380394.7 to the nearest 10000.\nAnswer: 19380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 75982 and 8.\nAnswer: 75990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3280 divided by -220.\nAnswer: 164\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 11*g**2 - 30*g + 145. Let k be r(7). Let c = 215 + k. Suppose 0 = -l - 5*n + 5, -3*l - n = 2*l - 25. Solve -4*y = -c*y - l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(18\/11)\/(l**19*l) assuming l is positive.\nAnswer: l**(-202\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 2*o**2 + 2*o - 1. Let h be z(-3). Let p be 99\/6 - h\/4. Let c = p + -10. Calculate the lowest common multiple of 10 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -226, 1, 0.003 in decreasing order.\nAnswer: 1, 0.003, -3\/4, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/44*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2876500\/33 + -4 + 7)*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -664, -557, -372, -109, 232?\n\"Answer: 39*a**2 - 10*a - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*z**3 + 1353*z**2 - 48*z**3 - 51*z**3 - 152*z**3 - 76*z**3 wrt z.\nAnswer: -2040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*i**2 + 147*i**2 - 79*i**2 - i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 - 2*o**2 + 2*o**2)*(2*o + 0*o - o) + (-23*o - 9*o - 119*o)*(2 + 5 - 5)*(0 + 0 + 2*o**2) in the form p*o**2 + u + q*o + x*o**3 and give x.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26926895196 - 0.017.\nAnswer: 26926895195.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 12 = -3*i, 3*v + 0*i + i = 0. Let d = 1 - v. Suppose d*w = 3*w, r = 2*w + 13. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2179 - -4371. Suppose -4*w + g = -4*q, 0 = -3*w + 3*q - 6*q + 1620. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((18 - -5) + -12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92713119 divided by 30904373?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*g**3 - 20*d*g**2*s - d*g*s - 64031*g**3*s + 138*g**3 - 158904*g**2*s wrt g.\nAnswer: 6*d - 384186*s + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 27. Let i(z) = 80 + 14*z - 40*z + 15*z - 382 + 35*z. Let l be i(12). Give f(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 114, 232, 352, 474, 598, 724?\n\"Answer: f**2 + 115*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*g = 16, -5*g - 603 = j - 598 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 7299 - 152938 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1 + 1 + 3 - 2 + (-2 + 4 - 4)*(-3 - 2 + 3) + 4 + 3 - 5)*(-2 + 2 + 1)*(w**3 + 4*w**3 - 3*w**3).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 2*b**3 + 9*b**2 - b + 7*b + 3*b**3 + 15. Let z be r(-6). Let h be (-3)\/(z\/24 + -1). What is the highest common factor of 88 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 287143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 11. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cd (base 16) in base 5?\nAnswer: 3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -78, -116?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -175619\/28 greater than or equal to -6272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 0.4 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*2)\/sqrt(10) - sqrt(10)\/sqrt(18)) + ((sqrt(80) + -1)*5)**2.\nAnswer: -595*sqrt(5)\/3 + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3874395 is divided by 21171?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 382 and 322599?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/3, 2.4, -76, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 154*r.\nAnswer: -2*r*(r + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 less than 8948546225?\nAnswer: 8948546150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 + -85.43. Let d = w - 1.07. Let i = 177 + -1595\/9. Which is the third smallest value? (a) d (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 + 3*q + 3*q**2 - 2*q**2 + 0*q**2 as m*q**2 + d*q + t and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21341 + -200?\nAnswer: -22041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 232390 * 0.062\nAnswer: 14408.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 467 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.0932493 - 9237427.0932493. Let l = 9237427.0000044 + m. Let q = 2 - l. What is q rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193284086 and 6478?\nAnswer: 6478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**0*d**(-22)*(d**(-2\/13))**(-5\/8) assuming d is positive.\nAnswer: d**(-1139\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 570960 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 11*h**2 - 42*h + 3. Let g be q(14). Suppose g*l - 455 = -m - 5, 4*m - 592 = -4*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003965692 rounded to five decimal places?\nAnswer: 0.00397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 805*l**2 + 102*l - 422. Let i(p) = 1610*p**2 + 170*p - 844. Let z(t) = 3*i(t) - 5*n(t). What is the first derivative of z(v) wrt v?\nAnswer: 1610*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101\/4, -1, 2, -2, -3 in descending order.\nAnswer: 2, -1, -2, -3, -101\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2990\/11 - 272. Let t be (40\/(-84))\/(10\/15*-1). Which is the third smallest value? (a) n (b) t (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11275.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 + 2*r - 2. Let v be 1\/(1\/(-2)) - (-10 - -6). Give k(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16928*m**3 + 0*m - 16948*m**3 + 0*m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8042655*l**2 - 2867227*l**2 - 2142328*l**2 + 6700822*l**2.\nAnswer: 9733922*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/39*676\/(-78).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.36 - -0.14. Let w = 160 + -145. Let m = p - w. Put 6\/11, m, 3\/4 in descending order.\nAnswer: 3\/4, 6\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14580*w**5 + 395280*w**4 - 790065*w**3 + 518685*w**2 - 114320*w + 8000 = 0.\nAnswer: 1\/6, 8\/9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 + 61. Let a be (1 - 0)\/(i\/25). Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7587c3 (base 13) to base 15.\nAnswer: 398019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 7025*o - 7118*o - 5 + 2)*(30*o**3 + 2*o**3 - 6*o**3).\nAnswer: 26*o**5 - 2418*o**4 - 78*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3792?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1507, 1490, 1469, 1444, 1415, 1382?\n\"Answer: -2*t**2 - 11*t + 1520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3485163 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c. Suppose 5*q + c*q = 30. Let z = -277 + 281. Calculate the remainder when q is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + 0.73. Let q = 5792.9 + -5793. Put r, q, -9, 1\/5 in descending order.\nAnswer: r, 1\/5, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 3. What is the greatest common divisor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0.2, 2\/3, -2, 0.5, 7400, -0.057?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + -1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182816, -182817, -182818?\nAnswer: -182819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 35. Let k be i(16). Suppose -3*y - 14 = k. Let u = y + 35. Calculate the least common multiple of u and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360 - 360 + 6*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k - 10. What is the least common multiple of (-2*22)\/(10\/k) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 3*s**2 + 2*s**2 - s**2 + 3*s**2 + s**2 + (s + 2*s - 2*s)*(s + 3*s - 5*s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -49*l**2 - 7*l - 1. Let g = 10 - 3. Let m(y) = -16*y**2 - 2*y. Let h(i) = g*m(i) - 2*u(i). Differentiate h(b) wrt b.\nAnswer: -28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58433\/67 or 873?\nAnswer: 58433\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53 and 228359?\nAnswer: 228306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = -8*k + 272. Suppose -k*b + 2110 = -14*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - 4*j**2 - 12*j**4 - 33*j**4 + 4*j**2 + j**2 - 5*j**4 - 2 to i*j**3 + v*j**4 + t + r*j + m*j**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 1, f: 7, g: 1}. Give prob of sequence mc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-12) - 34\/(-60). Let r = 49 + -140. Let o = -94 - r. What is the nearest to o in 0.2, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6) - (-21)\/6. Let w = o + -5. Is 19 a factor of (19\/2)\/((-1)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 - 234. Suppose -4*g - 50 = g. Let w be 6\/g + 0 + 0. Sort 0.5, w, d.\nAnswer: d, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7780965 millennia?\nAnswer: 778.0965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 12*g - 39. Let y be s(14). Suppose 335 = 3*l - y. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 16*v**2 + 62*v + 1268. Give t(-13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0*16\/((-560)\/(-35))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 57 = 12*l. Solve -d - l = 3*i + 6, 3*i = -2*d - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/133)\/(2\/16*4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:28 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3201 is divided by 119.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 18*d**2 + 2*d + 3. What is the remainder when u(-2) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 5 + 7, -3*f + 5*n - 3 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 1 - (-4 + -3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-604)\/(-1810)) + -3. Let x = -22949\/906 + i. Find the common denominator of x and -51\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 30810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/136202 and 63\/110?\nAnswer: 681010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a**0\/a)\/a))\/a)**(2\/35))**(2\/93)\/(((a\/(a\/(a\/(a\/a**(-1\/3))))*a)\/a)**2*(a**1)**(-16)) assuming a is positive.\nAnswer: a**(18086\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 408.001958 - 408. What is u rounded to five dps?\nAnswer: 0.00196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 3*b**2 + 6*b**2 - 5*b**2 + 8 - 8 + (0 + 3 - 1)*(2*b**2 + 0*b + 0*b) to the form c*b**2 + h*b + l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 9*g + 30. Let r be d(-13). Suppose -3*m = -m - r. What is the remainder when 161 is divided by m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/7 - 61044*y\/7 - 183105\/7.\nAnswer: -3*(y + 3)*(y + 20345)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -31003130000?\nAnswer: 31003123332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6006 divided by 37.\nAnswer: 6006\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 63753220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 56\/27?\nAnswer: 56\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 + -6 + 2 + 250 + -214.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1\/8)\/c)*c**(-4))\/((c*(c*c\/c**5*c)\/c)\/(c**4*c)))\/(((c*c**(-2))\/c)\/(c\/(c*c**2*c)))**39 assuming c is positive.\nAnswer: c**(-271\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2910 + 61108\/21. Which is the closest to 29? (a) -0.2 (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-8)*-1*4\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*n + 1)*(-29 + 30 - 108)*(-n + n**2 + n).\nAnswer: -214*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-7)\/(-2947)*-1. Let v = j - -2540\/2947. Suppose -v*p - 8\/7*p**2 - 2\/7*p**3 + 0 = 0. Calculate p.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2477 - 2413 = 6*a, -4*a + 32 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112187 - -20?\nAnswer: 1112207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 + (-95)\/220. Which is the nearest to w? (a) 3\/2 (b) -0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*m**4 - 2*m**4 + 3 + (-2*m - 2*m**3 + 2*m)*(m + m - 3*m) + m**4 - 2*m**4 - 4*m**4.\nAnswer: -m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 1, -5*r + 690 = -4*v - 3*r. Let n = 209 + v. Let j be 12\/(6\/2) + 0. Calculate the highest common factor of j and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 1 - 1. Let p = 13 - 9. Let c(i) = 5*i + 4*i - p*i - 2*i. What is t(c(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16199.229 rounded to the nearest one hundred?\nAnswer: -16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -474, -931, -1366, -1779?\n\"Answer: 11*p**2 - 490*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268194?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2794688 by 16.\nAnswer: 174668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9735305 millilitres to litres.\nAnswer: 0.0009735305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + f - 11, 5*f = -3 - 2. Let w be 7850*(0 + 68\/20 + c). What is the derivative of 17 - r**4 - w*r**3 + 3140*r**3 wrt r?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 3*i - 5 + 5 + 2*i + (-3*i + 4*i - 2*i)*(-1 + 3 - 1) in the form b*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 5*l + 2*l)*(-44 + 2 - 83 + (-2 + 5 - 4)*(-1 + 4 - 5)).\nAnswer: 1107*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 6*l + 10. Let p(a) = a**3 + 6*a**2 - 6*a - 2. Let q be p(-7). Is y(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 11*w**2 + 11*w + 10. Let i(o) = -3*o + 2. Let x be i(-3). Is q(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8476 - 0.1524. Which is the smallest value? (a) 4 (b) 2 (c) p (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x**2 + 5*x - 5. Let k(b) = b. Let i(c) = 60*c**2 - 18*c + 24. Let z(s) = -i(s) + 6*k(s). Give -24*p(r) + 5*z(r).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 6 + 1 + 2 to d + r*q + x*q**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 2573220?\nAnswer: 2573220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -26. Let s = 51 - r. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*m - 6619, -200*m = -195*m - 3*i - 6631. What are the prime factors of m?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 2*q + 6*q)*(-14 - q + 44*q**2 - 10 + 26) to t*q**3 + g*q + h + x*q**2 and give t.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40699025.\nAnswer: 5, 229, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1075 + -1027. What is the highest common divisor of 294 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/90 + 79*j**4\/12 - 478*j**3\/9 - 3856*j**2. Factor x(y).\nAnswer: 2*(y - 2)*(y + 239)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 6657 - 22105 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10 = 4*p - 20, 5*p + a = 47. Calculate the common denominator of 1\/4 and (4 - p) + 0 - 115\/(-140).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 8:43 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-24))\/((2\/(-4))\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*r + 149 - 149 + (0 + 1 + 1)*(0 - 4 + 2)*(5*r + r - 5*r)*(2 + 15 + 20) to the form i + l*r and give l.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5) - sqrt(2))**2 + 4 + -1 + sqrt(98) + 0.\nAnswer: 3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 5) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (120\/(-390) - (-34286)\/(-26))*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10630 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549000 rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(28\/(-72)))\/((-28)\/14)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1885 is divided by 329.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 11:43 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 912.2 * 1\nAnswer: 912.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -37529820 rounded to the nearest 10000?\nAnswer: -37530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzabbnbuamba. What is prob of picking 2 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 295.0001589 - 295. Round j to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29322279 and 22951124.\nAnswer: 52273403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 428064953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31101960?\nAnswer: 2, 3, 5, 259183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/20 + v**5\/60 + v**4\/3 - 17*v**3\/6 - 147*v**2. Is i(2) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/9*3\/(-2). Let m be -4 + 2 + -82 + 107. Put m, -2, v in increasing order.\nAnswer: v, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14\/9, -0.3, 0.04, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308397 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a + a + 0*a)*(-7*a**3 - a**2 + 2*a**2 + 4*a**3)*(1 + 0 + 4).\nAnswer: 135*a**4 - 45*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 445 divide 21652719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (5 + -5 + 5 + 1 + -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3954 and 628?\nAnswer: -2483112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.92 + -0.12. Let k = -1.8 + r. Let p = k - 3. What is the nearest to -0.1 in 3, -3\/8, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 5*l**2 - 3*l - 3. Let r be o(3). Let z = -100 - -101. Let u(i) = -7*i + 9. Let s be u(z). Solve s*d - r*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2988 divided by 1494?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 12028460 and 12028460 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 434630 rounded to the nearest 1000?\nAnswer: 435000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3093 - -4.9?\nAnswer: 1.5907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*f - 930986 = -6621613 - 7225573. Does 40 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 7*q**2 + 3*q + 15. Let h be m(-7). Does 27 divide -57*(-1)\/h*-34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691846789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-1\/4)\/f)\/f)\/(f*f**(1\/5)))**(3\/11)*(f**1*f)**(-50)*f*(f**(-6)\/f)\/f*(f*f*f*f\/f**(-2\/7)*f*f*f)\/f assuming f is positive.\nAnswer: f**(-156129\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -193*r**6\/360 - 113*r**3\/6 + 183*r. Let i(y) be the second derivative of a(y). Let s(l) = -2*l**2. Calculate s(i(q)).\nAnswer: -74498*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.03577 nanometers in centimeters?\nAnswer: 0.000004103577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**20\/o)\/o)\/o)\/o)\/(o\/o**(1\/17))*o**(-1\/11)\/((o\/(o\/(o\/((o\/o**(-4\/5)*o)\/o)*o)))\/o) assuming o is positive.\nAnswer: o**(14743\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*m - 13*m**2 + 15 + 14*m**2 + 1 = 0. Calculate m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58908 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9815 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 337547776294 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*n - 5*k, 0 = 2*k - 0*k + 10. Suppose 3*r + 7 = -8. Sort 5, n, r, -2 in descending order.\nAnswer: 5, n, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 4\/7, 1\/3, -9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307 + 310. Solve m = -w + o, -4*m - 3*w = -9*m - 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**4\/12 - p**3 + 9*p**2\/2 + 11*p. Let j be t(-7). Solve 0 = 3*n + j*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 33. Let l(m) = m**2 + 8*m - 72. Let c be l(-14). Let s be q(c). Put -0.9, s, 2\/9 in ascending order.\nAnswer: s, -0.9, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*p - 8, 5*f = f. Suppose 0 = -5*a + 62*r - 57*r + 55, -2*a - p*r = -16. What is the lowest common multiple of a and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 27 = 5*m, 8*m = 4*m - b + 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1. Let o(y) = -11*y - 5. Let j(z) = -o(z) + 5*t(z). Calculate the remainder when j(5) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**3 + 0*m + 2*m - 2*m.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 11504?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*z - 45*z + 184*z - 28*z - 44*z.\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f\/(f\/(f\/(f\/(f*f*f*f**(-1)))))))\/f*f)**(-13))**39*((f**(-1)*f)\/f**(-3\/2))\/((f\/f**(-3))\/((f*f**(-4))\/f)) assuming f is positive.\nAnswer: f**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2054000 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.195 + 10.195. What is the nearest to -2 in t, 0.1, 1\/2, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7 + 23 - 9 - 14*n + 2. Let t(v) = -24*v + 15. Let w(y) = -10*a(y) + 6*t(y). Let j(l) = l. Let c = 0 + 1. Give c*w(g) + 3*j(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)\/k)**(1\/2))**(28\/3)\/((k*k\/(k**(2\/7)\/k))**(-35)*(k**(2\/5)\/k)**(3\/34)) assuming k is positive.\nAnswer: k**(47287\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*p + 13910 - 785 = 0 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 902 and -44 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 154340883 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + sqrt(612) + -3 + sqrt(612) + (sqrt(136)\/sqrt(8) + 1 + sqrt(17))**2.\nAnswer: 66 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -3. Let v be (-20)\/45*6\/(-4). What is the third biggest value in 0.2, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53451 is divided by 453?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 19*s**3 - 3*s**2 + s + 18*s**3 to the form i*s**3 + n*s**2 + k + d*s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -10. Suppose -146 = -0*s - p*s - 2*u, 3*s + 4*u = 117. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78, -156, -234, -312?\n\"Answer: -78*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, 2, -0.1 in descending order.\nAnswer: 26, 2, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 3. Calculate the lowest common multiple of 22 and p(-7).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - (-413)\/28. Let r = 11 - i. Let s be r\/(-6) - 8\/12. Solve 4*u + 6 = g, s*g = 2*g - 3*u - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, u: 2, i: 2}. What is prob of picking 1 u and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7654301.\nAnswer: 17, 37, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2032 or 2014?\nAnswer: 2014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -17698.024?\nAnswer: 88490.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -169 - 37*f**2 + f**3 + 342 + 7*f - 169 + 29*f. Let s be t(36). Let u(v) = 11*v**2 + 4. Let m(o) = -12*o**2 - 5. Determine s*m(x) + 5*u(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-4)\/(2*-2). Let u(p) = -5*p - 1. Let f be u(j). Does 17 divide 12\/6*114\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 263.32 - 263.72. Let j = 221 + -889\/4. What is the fourth biggest value in -3\/2, 3, x, j?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 0.19946.\nAnswer: 5.19946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 22*t - 7 + 11 to the form b*t + j and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88158*s**4 + 2*s**2 + 42798*s wrt s.\nAnswer: 1057896*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*l - 146 = 5*h, 5*l + 73 = -h. Let g = h + 87. Suppose -q - q + r = -24, -4*q + 60 = r. Is g at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -19.\nAnswer: -13\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v = -2*t + 8, 2 = 2*v. Put -4, t, 1 in descending order.\nAnswer: t, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - 2*p**3 + p**3 + (6 - 10 + 7)*(0 + 0 + p**3).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37878 - 6792\nAnswer: -44670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -505881891 and 3.\nAnswer: -1517645673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1372 = -n. Let v = -1049\/3 + n. Find the common denominator of -43\/3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/144 and 43\/40.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4 - 279*z**3 + 4653*z**2 - 8481*z + 4104 = 0. What is z?\nAnswer: 1, 19, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7243877888 - 1068422.7222877888. Let y = x - -1068481. Let j = 60 - y. What is j rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 13 = -3*p - 62, 71 = 8*p - 5*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1536*g**2 + 63*g**3 - 155*g**3 - 529*g**3 + 1526*g**2 wrt g?\nAnswer: -3726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150848.4ng to kilograms.\nAnswer: 0.0000001508484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2257215 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14001110*t**4 - 489272255 wrt t.\nAnswer: -56004440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -5 + 9 - 5. Solve -5*g + 4*g = -5, -6 = 3*m - w*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1341315496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*4*(4 + 3 + sqrt(612) + -4*(sqrt(612) + sqrt(612) + sqrt(612)*-2) + sqrt(612))*-4)**2.\nAnswer: 6193152*sqrt(17) + 92049408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -221100?\nAnswer: -221104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1321132 + -330002?\nAnswer: 331130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 64, -6, -9, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005773613 rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*d - 2*t + 35, 3*d - 4*t = -8. Let z(m) be the first derivative of -3\/10*m**5 + 1\/2*m - m**3 - 2 + m**d + 0*m**2. What is c in z(c) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {t: 4, i: 4, g: 10, m: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 156?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -545.4 - -11804809?\nAnswer: 11804263.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 11:13 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.5 + -14.5. Which is the third smallest value? (a) 2\/7 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-3*(-3)\/9). Suppose 0*p = -m*p + 410. Round p to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5740 - -5747. Let h(g) = -18*g + 2. Let d(x) = -9*x + 1. What is c*d(m) - 4*h(m)?\nAnswer: 9*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - 1 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/31 in -140, -5\/14, -5\/4, 4?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -9. Suppose -2*c = -4*y, -c - 6 = 3*y - o. Let g(q) = q - 5. Let v(m) = 1. Give y*g(h) - 6*v(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 + -178. Let y = 1076\/3 - 364. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*d - 3365 = 1695 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365145 and 116503385.\nAnswer: 11065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*p**2 - 4\/3 - 2\/3*p.\nAnswer: 2*(p - 2)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 27*m + 46. Let h be d(15). Let w be (-2)\/8*h - (-169)\/572. Which is the third smallest value? (a) w (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - (7 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j + 32. Let m be f(-6). Suppose 4*b = d - 234, -m*b = -7*b. Suppose -3*o = -0*o - d. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 41 + 1 = 0. Suppose -3*u + 8*u - f = -5*t, 3*u = 5*t - 18. Which is the closest to u? (a) -1 (b) 1\/9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 340293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 6a?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1741.9548 nanoseconds to minutes.\nAnswer: 0.00000002903258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -3. Let b = 3 - f. Which is greater: -1\/2 or b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 15*b - 12. Let l = 98 + -50. Suppose -x - l = 2*x. Let h be i(x). Solve h - 20 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/2 + 205\/(-175) and -61\/6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26327004 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-480)*5\/(-5))\/((-1)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*h - 274*h - 153*h - 615*h.\nAnswer: -1134*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -156, -285, -432, -585, -732, -861?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3 - g - 3. Let l(w) be the second derivative of 2*w**3\/3 - 2*w - 327. Give l(z(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 49 - 98 + 16*j**2 - 16 - 14*j**2 - 29*j.\nAnswer: j**3 + 2*j**2 - 29*j - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/11079 or 0?\nAnswer: 2\/11079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 91 - 11 = 4*c, 0 = c - 3*u - 20. Solve -3*x = c*x - 69 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125624 divided by 842.\nAnswer: 62812\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-6)*(-10)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*f + 140 = 0, 56 = 3*k - 0*k - 4*f. Solve -4 = 35*t - 37*t, 4*g - 4*t = -k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjrrjvvjrcrrrv. Give prob of picking 1 v and 2 j.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007457 is divided by 242?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 0.08\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 15*z**2 + 30*z + 65. Let j(t) = t**2 - t - 1. Let i(d) = b(d) - 10*j(d). Find o such that i(o) = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(1\/(-35))\/((-60)\/(-75))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/4*(-67)\/469.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 9*f**2 - 4 + 1 - 17*f + 32*f**2 - 21*f**2. What is the least common multiple of p(6) and 10?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 17. Suppose 12 = 5*n - 2*m, 3*n - m - z = -0*m. Suppose -114 = -n*a - a. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/112 and -31\/268.\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 116652?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10.3583 times 0.6\nAnswer: 6.21498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4905762*y = -4905883*y - 2662 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*d - 8*d = -18, 246*o = 243*o - 5*d + 38 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55747873 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.7 (b) 63 (c) 0.05 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1. Let t be (-5)\/((-25)\/(-5))*3. Let c(q) = q**3 + 2. Give t*l(s) - 2*c(s).\nAnswer: -2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.119 + 8.119. Which is the nearest to -1\/3? (a) -5 (b) -1\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6605 or -6607?\nAnswer: -6607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50362 is divided by 5003.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 421513*r**4 + 1278483*r?\nAnswer: 5058156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1346, 0.02, 22, -26?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 893f - -1?\nAnswer: 8940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*n + 150*n + 363 = 270*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6823*n**2*u**2 + 6*n*u**2 + 67*n wrt n.\nAnswer: -13646*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-4))\/(1\/(-22)). Suppose -9*l = -0*l + 1116. Let o = u - l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**4 + 3550*w**2 - 212*w - 16?\nAnswer: -36*w**2 + 7100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2721 + -2712. Let o be (10\/8)\/((-1)\/8). What is the remainder when (0 + 14\/(-4))*o is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 11*l + 6. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + (-11 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1875 divided by -75\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.3 + -0.7. Let n = -1.5 - v. What is n rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 145*n - 144*n - 1235. Suppose 18*y - n = 3769. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 190837.9 millennia?\nAnswer: 2290054800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (17 + -32 - 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 2. Let u be x(-6). Let c = -2 + u. Suppose -c*k = -5*k - 66. Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886*x - 778*x = 864. Let z(o) = 3*o**2 + 14*o + 11. Let v(y) = 2*y**2 + 7*y + 5. Let q(b) = 5*v(b) - 3*z(b). What is q(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(320) + 0 + 1 + 2 + 4)*-2)**2.\nAnswer: 704*sqrt(5) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2475558 is divided by 1231?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -350 - 1767*z + 3485*z - 2*z**2 - 1728*z as l*z + n*z**2 + k and give k.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3000)\/(-108))\/50)\/(-21*(-2)\/18).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12535 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 13. Let a = o - -32. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 85 = 7*l. Factor 44 + 21 - j**2 - l + 24*j + 4*j**2.\nAnswer: 3*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f**2 + 0*f**2)*(-2*f**2 + 3*f**2 + 0*f**2) + 2*f**4 + 4 - 4 - f**4 - 3 + 3 + (2 - 2 + 2*f**3)*(-3*f + f + 0*f) - 2*f**4 - 3*f**4 - 13*f**4.\nAnswer: -19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9490 by 65.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + (-4491)\/(-1485))\/((-4)\/10). Let p be 4\/12 + 13\/33. Let g = p + y. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -1 + (47 - (31 + 31)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 12:10 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 54. Let p be 190\/57 - (-2)\/v. What is the closest to -2\/5 in p, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6481358 by -498566.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 352*r - 1900*r - 1269*r - 1479*r + 246*r to h + k*r and give k.\nAnswer: -4050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h - h - 12 - 3*h - 5*h. Let j(l) = -3*l - 8. Let y(z) = -5*f(z) + 8*j(z). What is the derivative of y(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*i = 11, p + 3*i - 15 = -0. Find the second derivative of 0*k**3 - 2*k - 2*k - k**3 - 2*k**p wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5464.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3293, -12436, -27415, -48224, -74857?\n\"Answer: s**3 - 2924*s**2 - 378*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3 + 7*c + 0 - 2 - 4. Let y be x(7). Suppose 0 = -2*p + 6*p - y. Calculate the highest common factor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44)\/sqrt(4)*2*-1)**2 + -4.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 + -65. Solve 0 = 11*r + d - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r - 43. Let d(z) = -9*z - 30. Let a(y) = 7*y + 20. Let m(v) = -3*a(v) - 2*d(v). Determine p(m(n)).\nAnswer: 15*n - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57518 is divided by 9584.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90283719 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (4 - 9) + 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 426 (b) -37 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 79 - 80) + 11.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-4))\/(3\/12). Let g(j) = j**3 + 3*j**2 - 2*j - 1. What is g(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 10. Let h = n - -9. What is the tens digit of 2\/1 - h - -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.071 - 11.729. Let c = n - -11. Let g = 0.815 + c. Round g to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.642294*1.415\nAnswer: 0.90884601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 35640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b**2 - 4*b - 10. Let f be n(6). Let r be f\/5*75\/15. Let w = r - -421. Does 36 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b + 1. Let o be v(-2). What is the tens digit of (o + 0)*(7 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/20 + z**4\/24 - z**3\/6 - 81*z**2. Let y be ((-4)\/4)\/(2\/(-4)). Calculate n(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -221.78 - -218.78. Which is the nearest to 2\/3? (a) t (b) 0.01 (c) -0.2 (d) 101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19284105.11 to the nearest ten thousand.\nAnswer: -19280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005227 to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 - 90301741453?\nAnswer: -90301740827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119265*b*c - 143769*b with respect to c.\nAnswer: -119265*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 + 692*y**3 + 326*y**2 - 26990813*y.\nAnswer: -12*y**2 + 4152*y + 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/1016281 and 13.\nAnswer: 1016281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203380, 203414, 203448, 203482, 203516?\nAnswer: 203550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 times -10.8298?\nAnswer: -10429.0974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 e, and 1 a when four letters picked without replacement from {f: 2, o: 3, a: 2, e: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 35278\/12 + (-234)\/(-1404)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -47, -53, -57, -59, -59?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 11*u**4\/12 - 3*u. Let l(h) = -1707*h**2 - 10. Let q(b) = 513*b**2 + 3. Let i(r) = -3*l(r) - 10*q(r). Give i(d(v)).\nAnswer: -1089*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/7009644 and 65\/84.\nAnswer: 49067508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1834798907.\nAnswer: 191, 1319, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-2*(-3)\/(-84)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 522612 - -10?\nAnswer: 522622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 11*z + 4 + z + 4*z**4 + 3*z + z**3 - 5*z**4 to the form s + m*z**4 + y*z**2 + w*z**3 + h*z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**5\/30 + 47*l**4\/12 - 46*l**3\/3 + 2*l**2 + 41*l. Factor u(i).\nAnswer: -2*(i - 46)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8*b = -79, -12*b + 14*b = -5*s + 395. Let a = 49 - 129. Let x = s + a. Let q(m) = 9*m**2 - 1. Give q(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -716 + 727. Let h be 26\/7 - (-4)\/14. Which is the biggest value? (a) -2\/9 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-10) + 34\/10. Suppose 0*l - 20 = -q*l. Suppose -l*o + 0 + 60 = 0. Calculate the least common multiple of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201695 and 50895.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -10*g + 58. Suppose 0 = 12*d - g - 51. Solve 0 = -10*c + d*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946663199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 427916801 to the power of 1\/3, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 5:51 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5667 - -9812. Calculate the greatest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + -17 - 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4161 - 16276?\nAnswer: -21447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*k + 252 = 0, -y = -4*k + 6*k - 54. Calculate the remainder when y is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + -2 + (26 - -1002) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 3399, 8484, 15571, 24642, 35679, 48664?\nAnswer: 63579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - 4 - (63 + -20) - 6.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -15464205?\nAnswer: -15464200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l - 53*l - 54*l)*(889 - 889 - 128*l**3).\nAnswer: 12032*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(5\/(-11)*18\/(-18)*(-8)\/(-10)).\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -151 or -2934947?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -13 (c) -832 (d) -0.03 (e) 0.4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75870 and 6.\nAnswer: 75870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 11. Let l be w\/30*0\/2. Solve -q = 5*c - l*c + 9, -2*q + 2*c = 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3370 - -6027. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54072, -54069, -54066, -54063, -54060?\n\"Answer: 3*x - 54075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 17 + 25 = 8*w. Solve -w*n + 6*n - 18 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7653 divided by 3.\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 5*g**4\/12 - 2*g**3\/3 - g**2\/2 - 2*g. Let a be w(5). Let c = a + -51. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bko when three letters picked without replacement from {k: 6, b: 4, h: 4, o: 5}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*p + p. Suppose -p*y + 0*y = -240. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28699*f + 125*f**3 - 411*f**3 + 28700*f.\nAnswer: -286*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166d401 (base 14) to base 15.\nAnswer: -e7b308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 22. Factor -2*l**3 + 11*l - d*l.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 488 and 976?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m + 34*m - 456 = -781 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Let x = r + 0. Let u = -2 + x. Solve p + u - 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -5. Let m = -21 + h. Let v = -5.11 - -0.11. Sort 1, v, m.\nAnswer: v, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 518?\nAnswer: 7252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 14\nAnswer: -144\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7252 is divided by 2406.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81852164 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*c - 8681 - c**2 - 439*c + 8681.\nAnswer: -c**2 - 328*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 154?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -2 + -1 + 5. Let x be (2\/(-8) - 75\/(-100))*0. Solve x = -3*v - l*v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 8*d + 781 = 0. Is 1 + 1 + (4 - d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 1\/7, -0.0438, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/7 - -7 - -16174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-35)\/((-5)\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.9. Let o = 0.2 + l. What is the nearest to o in 1\/9, -4, 0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016629 rounded to 5 dps?\nAnswer: -0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 32\/(-18) - (-26)\/117. Solve -d = a + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 503509 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1. Let k(m) = m + 8. Let y(o) = k(o) + 2*u(o). Let w be y(7). Let j = -2 + w. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2048648*a**3 + 7*a**2 - 2416*a + 5.\nAnswer: 12291888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45525976 or -45525996?\nAnswer: -45525976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 + 7*v - 4117. Let x(n) = 3*n**2 + 6*n - 4109. Determine -4*o(t) + 5*x(t).\nAnswer: -t**2 + 2*t - 4077","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31388108 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 - 5*z**2 + 11*z - 25. What is the thousands digit of w(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -13*j. Is (j - -3) + 2792\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19112330*c*q**5 + 302*c*q - 2*c - 14476 wrt q?\nAnswer: -382246600*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 + (-2 - (-9 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22034557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/16266 and -71\/100.\nAnswer: 813300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(0 + 3\/(-207)). Calculate the greatest common divisor of 46 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-16)\/2) + (-7 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5919\/23321 or -1?\nAnswer: 5919\/23321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69481 - -69532. Let m(q) be the first derivative of -33*q**4\/4 + q + 1. Let f be m(-1). Calculate the greatest common factor of n and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -820 by 118.\nAnswer: -410\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5 + 70\/(-25). Let h(k) = 2*k**2 - k - 2. Let t(c) = -c**2. Let r(p) = h(p) + 3*t(p). What is r(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*1)\/(3 - 4). Let n(v) = -6*v + 7. Let u(w) = -7*w + 6. Let h = 140467 - 140462. Determine c*u(p) + h*n(p).\nAnswer: -2*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483 = -19*c + 293 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4, -2*f = b + 2 - 5. Suppose 0 = -f*c + 2*g + 6, -c + 12 = -3*g - 1. Let w(k) = k**3 + 9*k**2 + 6*k - 11. Let t be w(-8). Sort c, -1, t.\nAnswer: c, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 - 5*k**2 - 5*k**2 + 4*k**2 - 5*k as o*k + z + m*k**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380527, -761053, -1141579, -1522105, -1902631, -2283157?\nAnswer: -2663683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 3*i - 2 + 5 - 2. Let w(o) = -8*o + 2. Calculate -2*t(c) + w(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 7*y**3 + 71*y**2\/2 + 56*y + 1. What is the units digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -11614 less than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1680)\/168 - (15 - 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201022022011 + -11?\nAnswer: 10201022022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 2*f**2 + 0*f**2 + (2*f**2 - 2*f**2 + 2*f**2)*(2 - 3 + 0) - 30*f**2 + 49*f**2 - 20*f**2 + 42.\nAnswer: -4*f**2 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -579*r - 584*r + 1 - 5 + 1196*r. Let t(v) = 16*v - 2. Determine -5*t(h) + 3*w(h).\nAnswer: 19*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 7) in base 5?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-3)\/(-3) + -1 + 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 1. Let b(d) = -2*d**3 - 2*d**2 + d + 1. Let l be b(-2). Let w = -5 + l. Let q be n(w). Solve 4*z = -g - 1 + 12, q*z - 16 = -2*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*g - 392 - 296 = 0, -156 = -i + 5*g. Let v = i - -94. Suppose -v = -5*l - f + 196, 5*l - 3*f - 422 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 67 + 198*o**2 - 2*o - 36.\nAnswer: 198*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (sqrt(1573) + 1 + -3 + 1 + sqrt(1573) + (sqrt(1573) + -1)*-1 + (sqrt(1573) + -1)*3 + sqrt(1573))*-1.\nAnswer: -55*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-96)\/80*5\/(-63)). Solve -c - 27 = 12*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*d - o - 17, 0 = -3*d + 3*o + 18. Suppose -2*u + g + 5 = -6, 0 = 3*u + g - 9. Put u, d, 0, 2 in descending order.\nAnswer: u, d, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9799 is divided by 175.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*-64301.\nAnswer: -7651819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -347*w + 1181 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1872 and 16432?\nAnswer: 147888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55080428 and 5273658.\nAnswer: 495723852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -10.53938.\nAnswer: 12.53938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -19. Let i = s - -7. Let q = 0 + -0.2. Is i <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -58, -82, -96, -94, -70, -18?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.2928.\nAnswer: 0.8784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 870, 1097, 1324, 1551, 1778, 2005?\nAnswer: 2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.288567 to three decimal places.\nAnswer: -0.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1 + 7096.\nAnswer: 7092.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960642?\nAnswer: 2, 3, 83, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5818223.08 to the nearest one thousand.\nAnswer: 5818000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1509334 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19948?\nAnswer: 2, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1392640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 324821*p**2 + 1 - 1 + p**4 + 8*p**3 - 324820*p**2 to the form z + b*p + m*p**2 + w*p**4 + j*p**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -116 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - -1 - 0\/2. Suppose -8*s + 10 = -3*s. Suppose p + s = 0, 0*r + 5*p = -r - 9. What is the highest common factor of r and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4942.06, -4, 6 in descending order.\nAnswer: 6, -4, -4942.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -206, -1622, -5472, -12974, -25346, -43806, -69572, -103862?\n\"Answer: -203*r**3 + r**2 + 2*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11 - 2)*((-1 + 3 - 3)*(3 - 3 + 2*s) - 2*s + s + 2*s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c, 5*c = -4*p + 2*c + 13. Let a = 299\/7 + -43. Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 1143 = 120*s. Is s >= -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 - 110. Solve -4*q + 12 = r, 2*q - m = 2*r + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*(-54)\/60. Let o = -10 - -7. What is the third biggest value in -4, z, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1035098, 1035106, 1035116, 1035128, 1035142, 1035158?\nAnswer: 1035176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from {w: 6, k: 2, n: 3, l: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + sqrt(1700) + sqrt(1700)*3 + sqrt(1700) + sqrt(1700))*4 + -3*(-1 + sqrt(1700)))**2.\nAnswer: 1500*sqrt(17) + 1062509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 9. Let q = -8 - s. Let u = 0.19999976 + q. What is u rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4*w**2)*(w**3 + 0*w**3 + 0*w**3) - 31*w + 31*w - 17*w**5 - 2*w**4 + 2*w**5 + 2*w**4.\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010 - 1011?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*-8*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q + 5. Let i(l) = -l**2 + 7*l + 13. What is the units digit of i(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33328 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 36*s**2 + 36*s + 26. Let b(p) = 7*p**2 + 7*p + 5. Let z(i) = 11*b(i) - 2*v(i). Let m be z(3). Suppose -5*o + 37 = -m. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -20. Solve -5*f - 8 = -v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420 (base 8) to base 11.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2603, 2630, 2657, 2684, 2711, 2738?\n\"Answer: 27*h + 2576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744936561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 69*k + 1165. Let d be v(-41). Let o(a) be the first derivative of -5*a**2 + 1\/2*a**4 + 2\/3*a**3 + d + 6*a. Factor o(u).\nAnswer: 2*(u - 1)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 209 times -179469\nAnswer: -37509021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 + 38. Let z = -1453\/12 - i. What is the common denominator of z and (-140)\/(-3)*12\/30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363536 is divided by 112.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/270156 and 73\/17244.\nAnswer: 810468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 299.26611 microseconds?\nAnswer: 0.000000003463728125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 31*m - 119. Does 2 divide h(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7424? (a) -39 (b) -7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69417558 and 35070.\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -195476, -0.3, -0.1, -64 in descending order.\nAnswer: -0.1, -0.3, -4, -64, -195476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 + 2*h + 2. Let n be 6\/(-4) - 2\/4. Let c = n - 0. Give f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2106 + 2232. What is the remainder when b is divided by 40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10277 = 1156*q + 42645 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z - 1050 = -294*z + 105*z + 108*z for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, 11, 3005.\nAnswer: -204, 11, 3005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393384167 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 5*y**2 + 5*y + 4. Let o be a(-4). What is the units digit of 9*(o - (0 + -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**2 - 6*l + 6. Suppose 156 = 4*h + 72. Let c(q) = -q**3 + 22*q**2 - 23*q + 43. Let v be c(h). Let p(t) = t**2 - t + 1. What is v*n(a) - 6*p(a)?\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -713, -1699, -3053, -4775, -6865, -9323?\nAnswer: -12149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from aqgajqyyqwqwwywwqa?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21387404*x**2 - 21387435*x**2 + 42774826*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -18. Let r(l) = -l**3 - 3 - 1 + 7 + l + 10*l**2. Let n be r(g). What is the highest common divisor of 130 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from pnnqolvo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 4:01 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199 - -49. What is o rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5829*d. Let j(r) = r. Determine j(i(t)).\nAnswer: 5829*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 495.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 2. Let q be d(-9). Let v(t) = -22*t + 159. Let s be v(q). Solve -n = 3*y + 1, -3*n + s*y - 3*y - 14 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 5*t - 48. Let u(n) = -n**2 - n + 1. Let y(o) = -r(o) - 3*u(o). Is 26 a factor of y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1202 + 5507. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 159\/21 - 8\/14. Let h(i) = -2*i + 6. Calculate h(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8*d + 20*d + 8*d. Let h(z) = -25*z. Let c(f) = -17*f. Let y(j) = -33*j. Let b(r) = 11*c(r) - 6*y(r). Let m(w) = -9*b(w) - 4*h(w). Determine m(p(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 - -92.7. Let i be (-2)\/(-4) - 204\/152. Let z = i - -150\/133. Which is the third biggest value? (a) 1\/2 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283596?\nAnswer: 2, 3, 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5864.589 millilitres?\nAnswer: 5.864589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -80686*l + 3 + 80686*l - 3 - 2*l**2. Let i(w) = 10*w**2 + 4*w + 4. Let u(y) = y + 1. Let q(p) = -i(p) + 4*u(p). Give a(q(t)).\nAnswer: -200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t + 12 - 2*t - 5 + 9 - 22. Let b(a) = -a**2. What is b(l(w))?\nAnswer: -9*w**2 + 36*w - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2635, 177, 4, -5 in increasing order.\nAnswer: -5, 4, 177, 2635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 596*l**7\/21 - l**3\/6 - 40*l**2 - 521*l. Find the second derivative of g(f) wrt f.\nAnswer: 23840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2179627.8 hours?\nAnswer: 12973.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/72)\/((-2)\/(-8)). Factor 4\/9*z**2 - 2\/3*z - p.\nAnswer: 2*(z - 2)*(2*z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 - 4.3578095?\nAnswer: -4.0478095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001000 + 1?\nAnswer: -2000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-120)*14\/140*(-10)\/4\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-43)\/129 + 5106\/9 + 1?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -9\/20*m**6 - 50*m**3 + 0 - 1\/70*m**7 + 45\/2*m**4 + 25*m**2 - 61\/20*m**5 + 0*m. Factor a(k).\nAnswer: -3*(k - 1)**2*(k + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 + 3a2?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 894.3 - 894. Sort j, 3\/7, -2\/3, -13 in decreasing order.\nAnswer: 3\/7, j, -2\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142336414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**3\/12 - 59*d**2\/2 - 3481*d + 416. Factor w(s).\nAnswer: -(s + 118)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269*g - 340*g + 242*g)*(2 + 0 + 1).\nAnswer: 513*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 354025 and 0.4?\nAnswer: 141610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x**2 - 7*x - 7. Let h = 3 + 11. Let r(c) be the third derivative of 1\/20*c**5 + 0 + 1\/12*c**4 + 0*c + c**2 + 1\/3*c**3. What is h*r(s) + 4*v(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*2\/64 + 241\/960. Let d(u) be the third derivative of -3*u**2 + i*u**6 + 1\/64*u**4 - 3\/16*u**3 + 0*u + 1\/96*u**5 + 0. Factor d(k).\nAnswer: (k - 1)*(k + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.09\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21767\/6 + 3639. Calculate the common denominator of 29\/14 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793784582.\nAnswer: 2, 61, 311, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56657582.\nAnswer: 2, 19, 37, 59, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**6\/120 - x**5\/15 + x**4\/24 - 2*x**3\/3 + 116*x**2. Calculate q(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.77 less than -4048.92?\nAnswer: -4046.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*f**5\/3 - 1220*f**4\/3 - 15364*f**3\/3 - 3904*f**2 - 768*f.\nAnswer: -f*(f + 24)**2*(5*f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2942244, -2942218, -2942174, -2942112, -2942032, -2941934, -2941818?\nAnswer: -2941684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53230*m**5 + 108*m**4 - 106462*m**5 - 180*m**2 - 272*m**3 - 204*m**2 + 53228*m**5 = 0. Calculate m.\nAnswer: -1, 0, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.679344 nanometers?\nAnswer: 0.000000000006679344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9704 - -9863.52. Let l = v + -163. What is l rounded to 1 decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqsqqyxq. Give prob of sequence yq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*r + 756, 3*f - 187*r = -189*r + 1121. Is 376 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1465*b + 877546. Determine d(599).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 428, 776, 1122, 1466, 1808, 2148, 2486?\n\"Answer: -r**2 + 351*r + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01447731912 to 7 dps.\nAnswer: 0.0144773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/32, -2\/7, -4, 4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 5*l + 5*g, -2*l - 3*g + 140 = -5*g. What is the highest common divisor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20292639?\nAnswer: 3, 109, 62057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*o + 243*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -65*a + 1. Let p(t) = 189*t - 2. Determine -7*h(z) - 2*p(z).\nAnswer: 77*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l - 1. Let d be c(-1). Let u be (-1 - 58551\/d) + 0. Let z = u + -3260. What is the common denominator of 77\/4 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -652 - -223. Let a = 975 + k. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2424581*v**5 - 1011659*v?\nAnswer: 48491620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*p - 5*p + 12, -k - 8 = -2*p. Suppose x - 9 + 7 = k. Find the third derivative of 4*a**6 + 8*a**6 + a**6 - a**6 - 13*a**x wrt a.\nAnswer: 1440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c*m**2*v**2 - 2*c*m + 121*c*v**2 + m**2 + 4*v wrt v?\nAnswer: -12*c*m**2 + 242*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-130)*442\/(-68)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 716990640 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-305)\/(-549))\/((-10)\/12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:49 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + -114. Let q = -78 - x. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - (-3 + -1) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.39354 and -0.1.\nAnswer: 0.439354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/66)\/(8\/(-352)*8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 87 = 20*m - l, 91 = 5*m - 3*l. Solve -76 = m*u - 55*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.052 * -0.182.\nAnswer: 0.009464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16961473 + 2?\nAnswer: 16961475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46.4*0.25.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 5*g - 1. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 86.8\nAnswer: -10.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3 + 2*p + 4*p - 4*p + 5*p. Let l be t(1). Suppose -6*m + l = -8*m. What is m rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 98 in descending order.\nAnswer: 98, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -13328?\nAnswer: -1\/3332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -2. Let l(j) = -j**3 + 3*j**2 + 4*j + 3. Let d be l(4). Suppose d*w = 3*m, 0 = -2*m - w - 0 + 3. What is the nearest to m in 3\/5, 5, f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 8*a - 17*a. Calculate the highest common divisor of 40 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/8 + 0\/(0 + 2). What is the third smallest value in 2\/3, -2\/9, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2141146*0.4\nAnswer: -856458.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -309*t. Let v(m) = -507*m. Give v(u(y)).\nAnswer: 156663*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.052, 7, -3?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/(v*v*(v*((v\/((((v**2*v*v)\/v)\/v)\/v))\/v)\/v)\/v)*v\/(((v*(v**(4\/13)\/v)\/v*v)\/v)\/v*v)*v**(-11))**(-14\/9) assuming v is positive.\nAnswer: v**(14882\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3*f - 2*p, f + 463 - 430 = -2*f + 3*p for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1327 - 1143. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 + 85*o - 188. Give p(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from oaoooooow?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5757 = -236*h + 6751 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -13 (c) -20\/9 (d) -1\/17 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*k**2 - 102*k + 31050.\nAnswer: 42*k - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(15))\/(sqrt(3) + (sqrt(3) - -1*sqrt(27))).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -136496632 divided by 34124158?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4040 divide 274013000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*21\/(-147)*7\/(-10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340195?\nAnswer: 5, 19, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/19 (b) -4 (c) 2\/7 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-2)*294\/(-4). Let g = 119 + i. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1488 + 251 = 3*y + 4*o, -5*y - o + 2870 = 0. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -21. Let y(r) = r - 3. Let o be y(j). Suppose o*p - 111 = -p. Is 37 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5177*k**5 + 15*k + 235?\nAnswer: -103540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4 - 420*p**3 - 828*p**2 - 412*p = 0. Calculate p.\nAnswer: -103, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-5)*b**(-2\/7)\/(b*((b**(4\/5)\/b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.07 (b) -1 (c) 2\/11 (d) -0.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 156\/(-30)) + -11*4\/(-330).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 6:13 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-14))\/(96\/(-672))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1046 + -1?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*g = 50, -3*n + 54 = 6*g - 7*g. Calculate the smallest common multiple of n and 688.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:28 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56418 or -56154?\nAnswer: -56418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -20*f - 1. Let i be m(1). Let a = i - -14. Let h = a + 16. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -21*l**2 + 457*l - 7157. Let n(w) = 7*w**2 - 152*w + 2387. Let x(j) = -6*g(j) - 17*n(j). Find the first derivative of x(f) wrt f.\nAnswer: 14*f - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1394*-0.27429\nAnswer: -382.36026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 42, -2, -84, -216?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.138 + 0.038. Let v = 0 - 3. Let d = v - -2. What is the smallest value in d, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**2 - l - 5. Let h(f) = 2*f + 6*f**2 - f + 6 + f**2. Let o = 65 - 52. Suppose -o*y = -23*y + 30. Determine y*h(t) + 4*s(t).\nAnswer: -3*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -i, 4*f + 30 = i + 46 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 19 = -5*n, 2*o - 11*n = -0*n - 25 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyj when three letters picked without replacement from {j: 1, y: 2, c: 3, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2190*b**2 - 980 wrt b.\nAnswer: -4380*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45459 (b) -1\/3 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 - 34378*u**4 + 961966*u**3 - 5701680*u**2 - 14426775*u - 7728750 = 0. What is u?\nAnswer: -1, 15, 34350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -18 - 335*d**2 - 8*d + 2 + 339*d**2 - 6*d**3. What are the prime factors of a(-3)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 11) in base 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 103329903, 206659808, 309989713, 413319618, 516649523, 619979428?\n\"Answer: 103329905*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -647.7 in 11, -3, -1.33, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 11:20 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 7. Let i = -75\/7 - -45\/14. Let p = x + i. What is the nearest to -0.2 in -0.1, 3\/4, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -176.71?\nAnswer: -1060.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 149*s - 61*s + 28*s - 4 + 3 to the form l*s + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 5*h + 0*h)*(-20*h**3 - 22*h**3 + 20*h + 40*h**3) in the form d*h**2 + y*h + b + q*h**4 + s*h**3 and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.228 + 0.228. Let n = 0 + -0.2. Sort 0, i, 1, n in increasing order.\nAnswer: i, n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 6*o**2 + 25*o - 124. Determine x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31476 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11101111 (base 2) to base 15\nAnswer: 10e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -11. Let l = 2.17 - 1.45. Let d = l - 0.42. Which is the nearest to u? (a) -4 (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*m**3*s**5 - m**3*s**2 + 521*m*s**5 - 2233*s**2 wrt s.\nAnswer: -600*m**3*s**2 + 31260*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77583.\nAnswer: 3, 11, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-10)*8\/(-10))\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 + (-8 - -2). Let r(m) = -6*m + 19. Let n(b) = -b + 9. Let d(k) = 2*n(k) - r(k). Give d(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*10\/((-80)\/(-14))*4\/(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 61\/4 of a microsecond?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 117118*b + 717. Is x(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 137632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 0 - 1\/3*l**2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-56 - (23 - 65)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 32 = -3*t + c, -t + c = 0. Let d = -0.2 - -0.4. Let v = 31 - 121\/4. What is the nearest to 1 in v, t, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 6, 0.4, 0 in increasing order.\nAnswer: -11, 0, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 48 = -3*i, 4*i + 11 = 5*v - 38. Suppose 65 = t + 4*t. Suppose -2*w + t = 1. Calculate the remainder when v is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1466)\/(-18))\/((-2)\/(-60))*-150. What is d rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -19\/4. What is the nearest to 0.1 in 0.5, g, -5, 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (696\/(-40))\/((-45)\/43950) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2834*j**2 + 2832*j**2 - 6*j**4 + 25*j**4 - 6*j**3 - j + (0*j**3 + 4*j**3 - 2*j**3)*(1 + j - 1).\nAnswer: 21*j**4 - 6*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880377508.\nAnswer: 2, 73, 257, 25057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109693000*f - 169832080 with respect to f.\nAnswer: -109693000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:23 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 206, 187, 150, 89, -2, -129?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**4 + 80*h**3 - 60*h**2 - 1440*h - 1296 = 0.\nAnswer: -3, -1, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z + 2. Let c be j(1). Let a be (18\/(-12))\/(c\/16 + -1). Suppose -6*b + 15 = -b. Solve -p - 3 = b*q, a*q - 4 = -4*p - 0*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1137456 and -143\/252768?\nAnswer: 2274912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676513*f**3 + 676490*f**3 - 1352760*f**3.\nAnswer: 243*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 840\/3150*(9\/8)\/(-3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/238)\/(((-20232)\/72)\/1967)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 208300.\nAnswer: 208300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*h - 92, 3*z + 72 = 2*h + h. Calculate the highest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -2*v + 0 - 1\/12*v**4 - 7\/6*v**3 - 2*v**2. Calculate the smallest common multiple of u(-4) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 11 - 1 = -3*n, 5*n + 4*s - 26 = 0. Which is the third biggest value? (a) -0.01 (b) -1 (c) 1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474070113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008818 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013547079.\nAnswer: 107, 397, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1687 + -1688. Is b greater than or equal to 1\/13960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 373*s**4 + 3*s**2 + 2459*s wrt s?\nAnswer: 4476*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 - 10*c - 99)*(3 + 28 + 2)*(1 - 1 + c).\nAnswer: -330*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 556.098 + -0.098. Let r = b + -607.2. Let n = 10.2 + r. Which is greater: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 3*b + 3*b)*(-4*b + 0*b + 0*b) + (4*b**2 - 5*b**2 + 3*b**2)*(5*b**2 - b**2 - 2*b**2) + 2 + 2*b**4 - 2.\nAnswer: 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31219 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f + 7 - 2*f**3 - 3 - 2 - 1. Give k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 258*b**2 - 762*b - 748. What is n(-126)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*l + 2. Suppose 0 = -l*z + 10*z. Suppose -2*m + 63 + 339 = z. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 418 divided by 648.\nAnswer: 209\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -3. Suppose -24*k + 5*t = -28*k - 17, 13 = -k - 3*t. Sort k, g, -33 in decreasing order.\nAnswer: k, g, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Let z(s) = -366 + 271 + 201*s**2 - 95*s + 255*s**2. Let b(o) = 19*o**2 - 4*o - 4. Let u(f) = -95*b(f) + 4*z(f). Determine u(j(d)).\nAnswer: 19*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.4 - 603618.\nAnswer: -603603.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pve when three letters picked without replacement from {v: 1, p: 1, f: 2, e: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*k + 3*s, k - 2*s - 368 + 384 = 0. What is the nearest to -15 in 4, k, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14602260 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4*8*(-14)\/112\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 + 9*j + 13. Let b(p) = -2*p**2 + 5*p + 7. Suppose -4*v = 12*i - 17*i + 47, 27 = 3*i - 3*v. Determine i*b(s) - 6*a(s).\nAnswer: 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1007*j - 14101. What is q(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100\/7*g + 1250\/7 + 2\/7*g**2 = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9991\/198 + -552\/11. Is b greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 34*b**2 + 243 + 0*b**3 - 3*b**3 + 6*b**3.\nAnswer: 3*b**3 - 34*b**2 + 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)\/z*z*z**3)\/(z*(z\/(z**14\/z))\/z)**(-47))**(-38) assuming z is positive.\nAnswer: z**21356","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 3. Let m = 36 + -14. Suppose 3*g = 2*o - m, -3*g - o = -0*g + 7. Determine p(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254468549219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/150 and -56\/245125.\nAnswer: 1470750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141\/329*28\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24b0 (base 16) to base 6\nAnswer: 111252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -1\/3*s**3 - 1\/8*s**4 + 1 - 1\/4*s**2 + 0*s. Factor c(u).\nAnswer: -u*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73*(2*-4 + 1 - 11244\/(-1874))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -200454.\nAnswer: -1804086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5022526 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 14*x**2 - 9*x - 9. Let w(g) = g**2 - g - 1. Let o = 299 + -281. Let p be 627\/(-264) + (-3)\/(-8). Determine o*w(m) + p*y(m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 + 5*a + 22. Let d be o(-7). Let g = d + -175. What are the prime factors of g?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260045 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 371 and 400792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80056 is divided by 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a (base 12) to base 10.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 621 and -5?\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**2 - 13881543*u + 48668883 wrt u.\nAnswer: -2*u - 13881543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 437593*k**4 + k**2*w**3 - k**2 + k*w**2 + 2611858*k + 46*w**3 wrt k.\nAnswer: 5251116*k**2 + 2*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaz when three letters picked without replacement from {a: 1, z: 3, i: 1, m: 2, e: 3, u: 3}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by 5\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252952475 to the power of 1\/3, to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 290\/(-29) - 332\/(-30). Solve -324\/5*h**2 - r - 486\/5*h**3 - 72\/5*h = 0 for h.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(176)*-2 + 4)**2 + 1) + (-1*(-2 + 1 + (sqrt(11) + 1*sqrt(11) - sqrt(11))))**2*-6.\nAnswer: -3677 + 332*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*3\/(-84))\/(12\/(-7))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*l + 30 + 258 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 206008443 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 7. Let l be j(-3). What is the highest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 46. Let a(b) be the third derivative of b**7\/2520 + 101*b**4\/24 + b**2 - 173. Let q(y) be the second derivative of a(y). Determine q(k(z)).\nAnswer: 4*z**2 + 184*z + 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77229 is divided by 1513.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9*18\/1863)\/(12\/(-18)). Is z smaller than -0.27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7536439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 0.6. Let z = 0.249 - 0.149. What is the fourth smallest value in z, -2\/3, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c**3 + 3*c**2 + 23*c + 16. Let q be z(-11). Let k = q - 17754. Round k to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44184 by -11046.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 232497 (c) 4 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 320309.02\nAnswer: -320313.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2110 - -2110.000001401. Round t to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -598 - 1?\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k + 343 = 553 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i. Let j = 1 + i. Let g(m) = j - 1 - m**2. Let n(w) = -4*w. Determine n(g(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*z - 2*z - 2736. Let p = z + 434\/3. Factor 2\/3 - 4\/3*j**2 - p*j.\nAnswer: -2*(j + 1)*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -805 - -804.964. Sort -0.5, 3\/7, u in descending order.\nAnswer: 3\/7, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124165 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2. Suppose -2*u = u - 6. Suppose -u*y + 4 = -0. Let z(a) = 6 - 6 + y*a**2. Calculate p(z(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 93114*d**2 - 33244317*d + 2950439904.\nAnswer: 3*(d - 177)**2*(d + 31392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqaaghhhhqhhaahqtqg. What is prob of picking 4 q?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 9*l**2 + 18*l + 7. Determine t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12680*l**2 + 381*l**2 + 7762*l**2 + 1 + 10156*l**2 - l.\nAnswer: 30979*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eefteet. Give prob of sequence ef.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:43 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1218959113 to the nearest integer?\nAnswer: 34914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9972 divided by 831?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10587 is divided by 2115?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.1.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10020200233 (base 4) to base 6\nAnswer: -35115531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 60*k**2 + 257*k - 106. Give z(64).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s + 9*s**3 + 15*s**2 - 3*s**5 - 3*s**4 + 133 - 133.\nAnswer: -3*s*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 28*w + 6 - 26*w + 4 + 2*w**4 - 2*w**3 + 0*w**3 - w**2 as r*w**4 + u + y*w**2 + v*w**3 + s*w and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146968948 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 - (48 - (-5 - -13) - (2 - -19))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x - 1. Let y be (-10)\/(-6) - (96\/36 + -4). Let v(j) = j + 8. Let g(s) = y*z(s) + v(s). Let w(d) = -3*d**2 - 3*d - 4. Give -3*g(f) - 4*w(f).\nAnswer: 3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j - 3. Let k be y(2). Suppose i - 34 = -i + 4*m, -k*m = -2*i + 35. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from ceccwnenlecnaae.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5 + (sqrt(8208)*-1)\/sqrt(3) - -2*((sqrt(19) - -2*sqrt(19))*2 - sqrt(76)\/(sqrt(4) - (sqrt(64) - sqrt(4)))))*-1)**2.\nAnswer: 16*sqrt(19) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5502\/8 + 80\/64 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/((((z*z**2*z)\/z)\/z*z)\/z))\/z))**(-27) assuming z is positive.\nAnswer: z**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905927731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/5 (c) -0.3 (d) -7 (e) -6 (f) -1077 (g) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1323 or -8446?\nAnswer: -8446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -327641 divided by 6\nAnswer: -327641\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -71*x**3 - 9*x**2 - 17*x - 3. Let h(y) = 26*y**3 + 3*y**2 + 6*y + 1. Give -4*d(t) - 11*h(t).\nAnswer: -2*t**3 + 3*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, 657, 0 in descending order.\nAnswer: 657, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*g - 198 = 87*g. Solve g*b - 9 = -3*r, -8*b = 3*r - 7*b - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(8\/(-6))\/(-1). Let a(s) = s**3 + 5*s**2 + 4*s + 1. Let y be a(t). Solve 2 + y = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11329*q**4 - 11328*q**4 + 22653*q**4 + 9 + (2*q**3 + q**3 - 2*q**3)*(2*q + 2 - 2) in the form m*q**2 + w*q + c*q**3 + y*q**4 + u and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4 + 10*i**3 + 6*i**2 - 34*i + 20 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = -506*l + 523*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40\/70*(-28)\/(-24)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 878*c**3 + 873*c**3 + 860*c**3 - c**2 - 2596*c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 4, -2*p - 2*h - 12 = 0. Let a = 65014 - 65026. Is p equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207289\/115929 - -2\/10539. Let j be 4 + -4 + 0 + 0. Calculate the common denominator of o and (-6)\/54*((-1 - 140) + j).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4444 - -4447. Let c = 4 + -8. What is the fourth biggest value in 0, j, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2602 rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*v - 1616862 = 55*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) + 2\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 34) + 1 + 0 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 41*d**2. Let b(c) = 2*c**2. Determine q(b(r)).\nAnswer: 164*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8645 and 1746955.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3011*u**3 - 31*u**2*y**2 + 240*u - 8*y**2 - 3 wrt u?\nAnswer: 18066*u - 62*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2 - -2) + 10 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 405 = -3*h, 0 = -4*h + 3*w - 4*w + 543. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264244 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 13*j**2 + j + 5. Let r be v(0). Solve -4*o - 7 = r*f - 3*o, 15 = 5*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -57. Let o = -0.4 + 5.4. Let g = f + o. Which is the third biggest value? (a) 1\/2 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 29*p**2 + 30*p - 54. Let l be k(28). Differentiate 51*u**4 - 26 - 28 - l*u**4 + 21 with respect to u.\nAnswer: 196*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2593 + 2637. Calculate the remainder when 1098 is divided by c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -129*k**2 + 2*k - 3. Let w be t(3). Let c = w - -6703. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2 + 479386*r - 57452734249 = 0. Calculate r.\nAnswer: 239693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1523896 rounded to the nearest ten thousand?\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1 + (-2 - -1). Suppose 0*x + 25 = 5*x. Let w = x - z. Let r(p) = 3*p - 4. Determine r(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45640 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70530583039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*l + 5*o, 2*o + 12 = 2*l - 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 26442.322.\nAnswer: 26442.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 75\/((8 - 5)\/(-39)). Let m = s + 1479. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-1) + (-1 - -5) + 1. What is the third derivative of -148*c**k + 140*c**3 + 12*c**3 - 153*c**3 + 164*c**3 wrt c?\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 402 = 3*u, -20*k - 4*u + 5*u - 424 = -13*k - 21*k for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40813 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*b + 553 = 0, -2*l + 287 = 3*b + 2*b. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4704 = 74*w - 81*w. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574771 is divided by 2031.\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**3 - 2 + 28*j**3 - 14*j**3 - 14*j to b*j**2 + t + w*j + d*j**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 15963?\nAnswer: 63852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 355 - 359. Let z = 1\/41 - 44\/123. Which is the third biggest value? (a) z (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.44724 nanometers in meters?\nAnswer: 0.00000006144724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (-2 - (1 + -2)). Let m = x + 0. Calculate the remainder when 22 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -756, -1151, -1544?\nAnswer: -1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 58 = 822. Suppose j = 110*r - 99*r. Solve 5*s + m - 13 = -m, 4*s + r = 3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 585, 1056, 1847, 2964, 4413, 6200, 8331, 10812?\n\"Answer: h**3 + 154*h**2 + 2*h + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4984 divided by -2492?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99448 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5aa47 (base 11) to base 16\nAnswer: -156e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7423.286 millilitres?\nAnswer: 7.423286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g - 10. Let d(x) = -x + 1. Let k(i) = 5*d(i) + j(i). Let m be k(7). Solve -m*r - 3*u + 12 = 0, -3*r + 3*u = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2793, 5, 14064 in ascending order.\nAnswer: -2793, 5, 14064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1212274288?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = 3*d + 78, -20 = 4*o. Let c = 42 + d. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:04 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3585*s**2 - 6610*s**2 + 3566*s**2.\nAnswer: 541*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000912507 to 6 dps.\nAnswer: -0.000913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2966 + 3433 - 7407)*((-3*j + 3*j - 2*j)*(4 + 1 - 3) - 2 + j + 2).\nAnswer: 3024*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-41 + 75 - 12)*(-4*a + 0*a + 3*a) - 3*a + 4*a + a)*(-1 + 2*a + 1) as m*a**2 + h*a + l and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/5 + 5817*b**2\/5 - 563376*b - 564540 = 0.\nAnswer: -1, 970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-256))\/((-340)\/544)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(147) - 2*sqrt(147)) + 3 - (-6*(0 + sqrt(147)))**2) + (4*(sqrt(147) + -1))**2 + sqrt(147) + sqrt(147) + -2.\nAnswer: -2919 - 217*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9223994mg in nanograms?\nAnswer: 922399.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5536 - -212?\nAnswer: 5748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g + 2. Let o(u) be the third derivative of u**4\/4 + u**3\/6 + u**2 + 2314. Suppose 3*r - 2*r = 7. What is r*o(s) - 3*f(s)?\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-277896)\/(-36) + 55\/33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-141)\/(-12) - 22\/(-88). What is the highest common factor of k and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b55e (base 15) in base 6?\nAnswer: -1523512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692785077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 248*k + 2858. What is g(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2760 = -0*f. Let m be 0 + -3 + f\/247. Let h = m + 2\/13. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/10*(-350)\/(-210). Solve -3*h + 5 = p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.068 * -1766233\nAnswer: -120103.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/20 + v**4\/3 - v**3\/2 - 2*v**2 + v. Let z = 129 - 120. Suppose 3*j = -k + 17 - z, -4*k + 2*j - 24 = 0. What is p(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - 76\/(-19)) + 711 is divided by 74.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*z + 9*z**2 + 8*z + 9*z**2 - 185*z.\nAnswer: 18*z**2 - 288*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7\/318 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200.283 hours to days.\nAnswer: 8.345125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 5.2, -3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 3*h**3 - 2*h**4 + 0*h + 8*h**2 - h + h**3 - 3*h.\nAnswer: -2*(h - 3)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-21))\/((-36)\/(-189)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (354\/2655)\/(5\/(-50)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 339261 and 153855.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234225 and 65.\nAnswer: 3044925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 12*j**2 + 11*j + 6. Let q be a(11). Let d(o) = 0*o + o**2 + q - o - 5*o. Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2432\/35 + -346\/5. Find u, given that -2\/7*u**2 + 4\/7*u - a = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175472.022 + 175624. Let w = g - 152. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 5:40 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-243)\/1134 - (-40)\/(-32)*26\/(-70).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 402 - 99. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**3 + 252684*w**5 + 13*w**2 + 10*w**2 + 252658*w**5 - 505320*w**5 + 2*w - 2741 wrt w?\nAnswer: 440*w**3 + 12*w + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108 + -103. Let c be (2\/2 - 0)*-1. Put 4, c, y in increasing order.\nAnswer: c, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 1239615.\nAnswer: 2479230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -53*j**4 - 59*j**3 + 150*j**2 + 254*j - 22. Let n(k) = 50*k**4 + 60*k**3 - 150*k**2 - 255*k + 25. Let d(m) = 6*n(m) + 5*x(m). Factor d(c).\nAnswer: 5*(c - 2)*(c + 2)**2*(7*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5247 = 2108. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**7\/3780 - i**6\/1080 - i**4\/6 + 2*i. Let z(p) be the third derivative of d(p). Factor z(f).\nAnswer: -2*f*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*a + 15, s + 6 = 6*s + 2*a. Suppose 5*i - i - 4 = 0. Solve s = 3*k + 2*l - 2, 0 = -2*k - 3*l + 7 + i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -4*y - 16, 29*n = 17*n + 10*n - 7*y + 27 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8039 and 136663?\nAnswer: 136663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1232989895*t*v + 235628568*t with respect to v.\nAnswer: -1232989895*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -2 + -30 + 31 + (-14 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 19635*j + 6096*j - 1377*j - 1370*j as a + c*j and give c.\nAnswer: 22984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1036257\/4155 - 2\/15*3. Calculate the greatest common factor of 664 and b.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3100135604 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/5 (b) 0.5 (c) 2\/13 (d) -62\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 12 - 102*b + 4)*(4*b + b - 3*b).\nAnswer: -204*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2709699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-12)*3\/2. Suppose -q*x + 0*x = -762. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2095.081 rounded to the nearest ten?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021 (base 5) in base 6?\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q - 4005 = -46*q. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v + 60. Let s = v + -115\/2. Which is the fourth biggest value? (a) -2\/21 (b) -4 (c) 1\/5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7848 and 923121?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4224322104 (base 5) to base 10.\nAnswer: -8823404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-828.\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 35020640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.13072 to three dps.\nAnswer: -10.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23586)\/(-18) + (48\/(-18))\/2. Let f = y - 22245\/17. Determine j, given that 0*j - f*j**2 + 8\/17*j**3 - 2\/17*j**4 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 8. Let b be l(-6). Find the second derivative of -2*h - b*h**2 - 5*h + 0*h wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -n, -5*l + 2*l = 2*n - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*7\/42*(10 + -12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l + 9. Let b = -1 + -5. Let z be c(b). Suppose -z*d = -2*x + 66, -d - 3*d = 3*x - 133. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292999.\nAnswer: 7, 19, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 4*s + 1. Let w be r(-3). Let z(c) = 8*c - 1. Let t be z(w). Calculate the highest common factor of 217 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 0, 7*m + 97 = 2*m - 2*j. Let s = 13 + m. Which is the nearest to 1? (a) s (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 + 2*r**2 - 155.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2480, -4964, -7450, -9938?\n\"Answer: -t**2 - 2481*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**2 + 1. Let t(o) = -2*o - 9. Let f(n) = n + 3. Let c(j) = -3*f(j) - t(j). Calculate y(c(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*-2 - -3. Solve -4*g - 5*h - 16 = 9, -10 = -q*g + 2*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 2, e: 5}. Give prob of picking 1 a and 1 n.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:07 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99055 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215063849?\nAnswer: 7, 11, 13, 214849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 21 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666575 - 6698.6.\nAnswer: 659876.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/2 and 71\/4254308.\nAnswer: 4254308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57608 is divided by 19202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(700) - (sqrt(700)*3 + sqrt(700)) - sqrt(700)) + -5)**2 + (sqrt(700)*-2 - sqrt(700))*4).\nAnswer: -11225 - 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29187267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7777281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**3 + 8*h**2 - 150*h + 3473. Let x(d) = -6*d**3 - 9*d**2 + 145*d - 3477. Let y(g) = 7*w(g) + 6*x(g). Differentiate y(p) with respect to p.\nAnswer: 39*p**2 + 4*p - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.03 (b) 289\/3 (c) -0.2 (d) -0.401\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -56. What is the fourth smallest value in 31\/7, r, -4, -0.3?\nAnswer: 31\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**13\/k*k)\/(k\/(k*(k*k\/k**(-2\/15))\/k*k)))**(16\/5)*(k*(k*k\/(k\/(k\/(k*k\/k**(5\/6))))*k)\/k*k*k*k**(5\/3))\/(k\/k**(1\/2))**(-19) assuming k is positive.\nAnswer: k**(4997\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 89*d**4 - 90*d + 355. Find the first derivative of h(u) wrt u.\nAnswer: 1068*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86138*w**2 - 12 + 86116*w**2 - 25 to the form n*w + z + g*w**2 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n + 1. Suppose 0 + n = m. Suppose m*i + 2*i - 32 = 0. What is the remainder when i is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(513)*-2 + sqrt(513)))\/(sqrt(99)\/sqrt(176) - sqrt(9)))\/((-2*sqrt(108)*1 + sqrt(108))*1))**2.\nAnswer: 1900\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32 from -439672.88744.\nAnswer: -439704.88744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/53163 and -37\/5659443.\nAnswer: 62253873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 19 (b) 0.3 (c) 2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.935 - 8.747. Round f to zero dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232132210222 + 230?\nAnswer: -232132203332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = 5*g, 0 = 4*g + 21 - 9. Let a be 4\/(4\/3) - (-6 + 3). Solve -r - 4 + a = c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 1.4. Let k = z + 0.6. Let h = k - -0.2. Which is the second biggest value? (a) 0.5 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26200037.\nAnswer: 3301, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/60 - 11*x**4\/24 + x**3\/3 + 2*x**2. Let l be b(-6). What is the greatest common factor of 48 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 68 = -11*m. Let d be (2\/2)\/(-1)*0. Suppose d = -62*j + 58*j + m. Calculate the remainder when 66 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 37*d - 1501. What is y(47)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 4*b - 13. Let n(f) = -2*f**2 - 9*f - 27. What is 2*n(g) - 5*o(g)?\nAnswer: g**2 + 2*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033613 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56006785?\nAnswer: 5, 211, 53087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 483132 * 0.034\nAnswer: 16426.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1065*d + 74593. Calculate c(70).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 9*f**2 - f + 1. Let q = -107 - -109. Suppose r - 42 = -5*o, -3*r - q = -4*r. Let v be 4\/o*-1*-18. Calculate m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0 - u**2 - 1\/24*u**4 + 0*u**3 + 3*u. Let d(n) be the first derivative of r(n). Let g(y) = -4*y. Calculate g(d(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 113821014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/11 in 70, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i - 73707 - 44625. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*g*s - 162849*d**2*s + d*g*s + 1750611*d*g - 5*d*s wrt d.\nAnswer: -12*d*g*s - 325698*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/10 and -121\/15443520.\nAnswer: 15443520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1069534, 2138793, 3208074, 4277389, 5346750, 6416169?\nAnswer: 7485658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 60 = -183. Let f be 46\/14 + 6\/(-21). Calculate the greatest common divisor of f and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - 79. Find the common denominator of (-1)\/v + (-5772)\/(-1440) and 55\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b**3 + 6*b**2 - 18*b - 3. Let o(s) = -s**3 - 2*s**2 - s + 1. Give -3*o(i) - z(i).\nAnswer: -9*i**3 + 21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + c + 16. Suppose -3*u = -2*i - 4, -4*u + 5*u = -5*i + 7. Suppose 0*g = -u*g + 12. Calculate the remainder when w(0) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -13*i - 24. What is j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(126) - sqrt(126)*-1)\/sqrt(6))\/(5*sqrt(7)*4).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1229.69 and -2.\nAnswer: -1231.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 0.1 (c) -2\/13 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + 5 - 5 + (-o + 3*o - o)*(o - 2 + 2) + 2*o**2 + o**2 - 2*o**2 - 4*o**2 + 2*o**2 - 3*o**2 + (-o + o - 4*o)*(3*o + 3*o - 5*o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1336365 and 1336365 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*c*r**4 + 77645*c + 422*r**4 wrt r.\nAnswer: 308*c*r**3 + 1688*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/3*(-24 + (-1776)\/(-80)). Solve -12*o + 11*o + 5 = 0, t*m + 2*o = 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1088*t - 1 = 1083*t - 2*l, 0 = 2*t - l + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/4 + 441*k**2\/2 - 21609*k + 705894 = 0 for k.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176399.\nAnswer: 419, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49556 - 11*q**4 + 83*q**2 - 20*q**4 + 6*q**6 + 49558 wrt q.\nAnswer: 720*q**3 - 744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38832.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000101010101110000001 - 0?\nAnswer: -1011000101010101110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342320 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-7 - -3))\/(-2). Let n = g - 3. What is n rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-7 + 24 - 12 - (1 + 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4919690.\nAnswer: 2, 5, 491969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19742253 a multiple of 743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 - 15*l**2 + 30*l + 62. Calculate f(-8).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39145.\nAnswer: 5, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 7 + 4*q**2 + 0 + 2.\nAnswer: 4*q**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-550)*6040\/(-26274).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/36 - 1429\/9. Let z = r + 226. Suppose -5*f + z = -818. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -691\/36 - -69\/4. What is the common denominator of (93\/(-4) - 0)\/(-15) and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/46 or -1?\nAnswer: 7\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.105299847 to 5 dps.\nAnswer: -0.1053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lww when three letters picked without replacement from {o: 2, l: 1, n: 4, w: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/2 - r**3 + r**2 + 2*r - 2. Let a be (-1 + 21\/12)\/((-41)\/(-164)). Calculate s(a).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/6081 + 26323\/85134. Let o = k + 4\/21. Which is the third smallest value? (a) o (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/6 - 2)*-2. Let p(m) = d - m**2 + 2*m**2 + m + 2. Let r be p(0). Solve 0*t = r*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 31 = 44. Let t be y\/2*8\/(-10). Solve 0 = -5*v + 5*u - t, 0 = -5*u + 4*u + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8971491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvmm when four letters picked without replacement from mvwmc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 12) to base 4.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 3\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16940 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156173, 312284, 468361, 624404, 780413?\nAnswer: 936388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, n: 11, h: 1}. Give prob of sequence xxx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.79624 - -0.8. Round y to 4 decimal places.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1636 - 1634. Solve -2*i = 4, 0 = -u*b - 3*b - 2*i - 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(396) - (-3 + sqrt(396)*4)) + ((-4 + 6*(sqrt(396) + 1 + sqrt(396)))*3)**2.\nAnswer: 2574*sqrt(11) + 513256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1087 + 1087 + 14*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44438*c + 650 = 44526*c + 7074 for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/8)\/((-789)\/(-8)). Let b = 4561141241\/10457871510 - 366\/1325459. Let c = z + b. Calculate the common denominator of -95\/14 and c.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Let o(c) = 65*c - 25. Let z(b) = 16*b - 6. Suppose -99 = -5*n + 26. Let f(i) = n*z(i) - 6*o(i). Determine d(f(p)).\nAnswer: 200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 888, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1419, 1, 5, -3, -5, -12 in ascending order.\nAnswer: -1419, -12, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89288 at most 89288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4560115 (base 8) to base 10.\nAnswer: 1237069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + 182 = 0. Let y = n - 115. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17054, 0.1, 0.2, -3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddyd when four letters picked without replacement from {d: 1, k: 2, y: 1, c: 1, x: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + d = -4*d + 8, 0 = -g - 3*d + 8. Determine n, given that 24*n**4 - 96*n**3 - 4*n**5 - 16*n + 2*n**5 - 5*n**5 - 68*n**4 - 80*n**g = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 20 + 3\/1. Suppose b = -4*b + m. Suppose b*t + 18 = 6*t. Solve z = 3*p + t, -p - z = -5*z + 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 12 = 4*q, -q + 4*q - 2087*m + 2083*m - 9 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14173216, 14173213, 14173212, 14173213, 14173216, 14173221, 14173228?\nAnswer: 14173237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -11 + (-5)\/(10\/(-2714))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*n + 18, -5*n + 2*g + 9 = -0*g. Let h be ((-42)\/15)\/(n\/15). Let l be (h\/21)\/(4\/18). Which is smaller: l or -5\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + (-2)\/(-3). Let b = m - -22. Calculate the lowest common multiple of 2 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-3 + 4)*3. Let l be 8\/(3*2\/u). Find the second derivative of -h - h**5 + 22*h**4 - 22*h**l + 4*h**5 wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/5 of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182580766429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42190 - 2?\nAnswer: 42189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.944 - -1. Let w = -0.231308 + 0.2873308. Let r = q - w. What is r rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3 - (-3 + 1)). Suppose 0 = 2*a - 4 - h. What is the second derivative of 0*o**2 + 18*o - 13*o + o**a + 3*o**2 wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -133*q. Let a = 4 - 5. Is n(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 362298 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + -3 + sqrt(7) + -3 + 4.\nAnswer: -9 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5206555873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**2 + 2117*l**3 - 4*l**2 - 686 + 280*l**3 - 22*l**2 + 691 wrt l?\nAnswer: 14382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 47*o - 22. Let j be t(1). Suppose j = -i + 24. Put i, -3, 0, 13 in descending order.\nAnswer: 13, 0, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 33. Suppose -2*h + h - 5*p = -28, 2*h = 3*p - 9. Suppose 453 = 2*r + h*u, 2*u = -4 - 6. What is the highest common factor of r and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 195 - 160. Let l be (o\/(-280))\/((-1)\/(-6)). Which is the second smallest value? (a) 0.03 (b) l (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -42, -410.\nAnswer: -410, -42, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w = -20*w - 975212. Suppose -16*v - w = -20*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496267 - 0.4?\nAnswer: -1496267.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149\/42 - 26\/7. What is the third smallest value in b, -5, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k. Suppose 10 = -12*y + 10*y, -3*v + 25 = y. Let i(z) = 12*z - v*z + 10*z. What is i(h(s))?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 875 or 872?\nAnswer: 872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmkxyxygmgmgxmmmg. What is prob of sequence xg?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.47 - -0.19. Let h = 1.34 + v. What is the second biggest value in -1, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/(-126) - 3*5\/(-15). Suppose -4*k = -3*c - 15, -2*k - 5*c - 25 = 3*k. What is b in -2\/9*b**3 + a + k*b**2 + 2\/3*b = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 451353?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 1 - 1 - 4)*(2*c**2 - 2*c + 2*c + (-3*c**2 + c**2 - 2*c**2)*(-2 + 0 + 4) - 3*c**2 + 0*c**2 + 2*c**2) to w*c + k + s*c**3 + x*c**2 and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1221 (c) -4.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1406)\/133 - -11)\/(215\/(-105) - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*m = 10, -4*f + 4*m - 12 - 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -8629 (b) 1\/4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -0.2. Let c = -14.42 - h. Let q = -14 - c. Round q to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/20 + 2*p**2. Suppose -4*l = 2*l - 186. Let g = -29 + l. Give w(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928.904004s to weeks.\nAnswer: 0.00153588625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -27723, 3, -2 in ascending order.\nAnswer: -27723, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -31*c**2 - 6*c + 3. Let u(k) = 28*k**2 + 5*k - 3. Calculate 7*u(l) + 6*x(l).\nAnswer: 10*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + 4\/40. Let v be ((-18)\/15)\/((-15)\/(-50)). Which is the closest to 0.2? (a) h (b) v (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1471 + -1438. Calculate the remainder when h is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1200567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*a + 630, 18*a - 15*a - 206 = -g. What are the prime factors of g?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 43. Let j be (27\/18)\/(6\/4). Let k be j*1\/(-1) + 29. Calculate the greatest common factor of k and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 61*w**2 + 44*w + 2541. Give a(-61).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - (0 + 3))*-2. Let h(n) = 2*n**2 - 9*n + 11. Is h(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*f**4 - 8*f**3 - 60*f**2 + 64*f - 16.\nAnswer: 4*(f - 1)**2*(f + 2)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -47*i - 7. Let j(g) = -47*g - 9. Calculate -6*j(v) + 7*o(v).\nAnswer: -47*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**6\/144 - 25*i**4\/12 - i**2. Let q(l) be the second derivative of a(l). Let y(c) = -c**2. Determine y(q(p)).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/2 + 2\/1. Let y = 5 + -17. Let q = y + 10. Sort 4, w, q in descending order.\nAnswer: 4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-99)\/(-330)*75\/(-45).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -301\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 46 + 3*g + 49 - 129.\nAnswer: 3*g + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 60 = 3*b. Suppose -5*q = c - b - 7, 0 = -4*c + 8. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*r**3 + 250*r**3 - 4 + 4.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 605 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, x: 6, j: 7, a: 1, c: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6 = 27*r - 22*r, -4*f + 5 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7037805 and 472317?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/((2*sqrt(8) + sqrt(8))*5) + (sqrt(17) - (sqrt(17) + -3 + -5))**2*4)*-6.\nAnswer: -1536 - 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24185102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 57. Which is the closest to u? (a) 4 (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 6 = -129 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(10\/(-30)). What is the hundreds digit of (-5)\/(-30)*z + 1022\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3*g + 5*g)*(-3*g + 3*g + g) + (7 - 2 - 1)*(2*g**2 + 48*g**2 + 18*g**2).\nAnswer: 275*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24927276)\/9179312*14\/(-21). Let u = v + -1\/19783. What is the common denominator of u and -3\/14?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 169 (b) -10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1013*m**3*x**2 - 3*m**3*x - 8034*m**3 + 4*x**2 + 1 wrt x?\nAnswer: 2026*m**3*x - 3*m**3 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = 76 + 56 + 63 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281183 is divided by 1962.\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-11)\/(-7) - 26\/(-91). Let t be -8*((-3)\/g)\/((-96)\/80). What is the nearest to -3.6 in 0, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 40 = 70 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 less than or equal to -38.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**5\/60 - d**4\/4 - 2*d**3\/3 + 2. Let u(q) be the third derivative of h(q). What is the units digit of u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16854, 33508, 50158, 66798, 83422, 100024, 116598?\n\"Answer: -b**3 + 4*b**2 + 16649*b + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/155594 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6, -2*l + 3*p - 7 = -25. Let b be (-35)\/14*l\/(-10). Let z(x) = -x**b + x**2 - x - x**3 - 1 - x**2. What is z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -63. Suppose 3*r - l = 3. Suppose -r = 3*g - 1. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-112)*7)\/(2\/157820). Is a\/52*(4 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(4 - 0) + 7 + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 30. Let t = c - -4. Let s = t + 7.9997. Round s to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105298, 105088, 104744, 104272, 103678, 102968?\nAnswer: 102148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(171)*-4 + -3 + 0)*1*-3.\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 12*c**2 + 12*c + 29. Let r be b(13). Suppose 2*m - r = -2*m. Solve -8 + 0 = -m*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1112.4 and 10.158?\nAnswer: -11299.7592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/182)\/((-30)\/2730)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 15 + -13 + -1 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.16237 - -0.06237. Let h = -4 + 3.5. What is the third biggest value in b, 0.011, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 60. Which is the fourth smallest value? (a) -0.5 (b) 4\/7 (c) -3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 26*n**4 + 14*n**3 - n**2 - 6. Let j(o) = -105*o**4 - 55*o**3 + 5*o**2 + 25. Let g(b) = -25*h(b) - 6*j(b). Determine u, given that g(u) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, h: 2, b: 3}. Give prob of sequence lhll.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b. Let l(z) = z. Let k(r) = -g(r) - 2*l(r). Let o(y) = -y**2. What is k(o(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (6 + -30 - 14) + 3.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-28) - (-22129)\/3927. Let f = o - 92\/51. What is the common denominator of -11\/5 and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/10*4 - (-10127)\/988)\/(-12).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -36*h + 4. Let v(p) = -1155*p + 1155*p + 0*p**2 + 0*p**2 + 3*p**2. What is v(s(n))?\nAnswer: 3888*n**2 - 864*n + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 57\/(-855)*5*3\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -22 (c) -2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -2 - 1) + 2. Suppose 7 - f = -2*o. Let u be (o\/2)\/(3\/(-6)). Is 4 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423059 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - u)*(u**2 - u + u) + 0 + 35*u**3 + 3 + 38*u**3.\nAnswer: 72*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 30280*c**2 + c - 2. Is y(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**8\/336 - 5*n**4\/12 + 2*n**3\/3 + 9*n. Let k(d) be the second derivative of p(d). Find the first derivative of k(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Suppose l*i = 10 + 60. Does 12 divide ((-20)\/(-25))\/(1\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 8 = -8*m. Let x be (2 + 54\/(-8) + 4)\/m. What is the nearest to x in 2, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.893764 and -0.4.\nAnswer: -0.3575056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -20 (c) -10.67 (d) -0.5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94824 and 3073?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 62*x - 4*x**2 - 104*x - 5 + 4*x**2 + 2*x**2. What is the units digit of g(30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 9*v**2 - 13*v + 42. Let o be m(8). Which is the nearest to o? (a) 0.1 (b) 7 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 68. Let y = -24 + g. Solve 0 = -s - y*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2184 is divided by 1517.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2. Let u(r) be the first derivative of 8*r**3\/3 - 10. What is o(u(j))?\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 15299648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*a - 4, -3*a - 2 - 2 = 4*j. Let l = j + 11. Suppose 0 = 3*z + 2*z - l. Put z, 4, -4 in decreasing order.\nAnswer: 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 389405183 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 5:50 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 4*i + 1776 = 7*q, q = -3*i + 1776. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109823 + 2.13.\nAnswer: 109825.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 77.7. Which is the second biggest value? (a) m (b) -1.8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*n - 272*n + 56456 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 + 3) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(63) + -3)**2 + 2*sqrt(7) + 3 + 0).\nAnswer: -375 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18052023.\nAnswer: 3, 11, 293, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.63 + 10.47. Let k = -38 + n. Round k to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5437718 divided by 16.\nAnswer: -2718859\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -239044445251 take away 0?\nAnswer: -239044445251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 604*u = 608*u - 28, 5*b + u = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 at least 719\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssissiisiiisi. Give prob of sequence siss.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 13*k**4\/6 - 7*k**2 + 2*k + 1. Differentiate u(b) wrt b.\nAnswer: 52*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -799736 times -210?\nAnswer: 167944560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3491546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 402394054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 25*r**2 + 99*r + 15. What is v(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -0.8 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 492\/5 greater than 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 1, s: 1, n: 1, p: 1, e: 2}. What is prob of sequence nrpr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -99. Let z(i) = -8*i + 2. What is the remainder when z(-7) is divided by 1\/(-3)*(y + 5 + -8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3\/3 - 2*h**2 - 7*h - 1. Let m = 33 - 27. List the prime factors of k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzwzzzwzzzzzzzz. What is prob of sequence zzwz?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)\/q*q*q**6\/q)**(27\/5)*((q\/q**(2\/3))\/q**5)\/(q*((q\/q**(-1\/4))\/q*q)\/q)**21 assuming q is positive.\nAnswer: q**(-883\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**2 + q**2 + 9*q**2 to v + n*q**2 + z*q and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/196457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25047931203.3119 - 25076650216.0119046. Let x = d - -28719016. Let t = x + -3.3. What is t rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 2*o**2 + o. Let s be n(-1). Let t = -8 + 13. Solve s*f - 2 = 2*c, 2*c + 0*f = -t*f - 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 2*z - 2. Let t be s(2). Let f be t\/(-8) - 75\/(-12). Suppose 4*i - f - 54 = 0. Calculate the highest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -50?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f - 4. Suppose -3*g = -3*u + 6*u + 30, -u - 5*g - 30 = 0. Let r(t) = -2*t. Let b(k) = 3. Let i(l) = -b(l) + 2*r(l). Determine u*m(y) + 6*i(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146911\/2588 - -554383447\/6431180. Let c = n + -18\/497. Let v = -29 + c. What is the third smallest value in 1, v, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 18*j**3 - 3*j**2 - 1. Suppose 2*r + r = -x - 7, -2*r = 6. Is o(x) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 255 + 273. Calculate the highest common divisor of 48 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(5\/2))**(3\/4)\/((a**(2\/67)*a*a)\/a)**(-19))**(3\/7) assuming a is positive.\nAnswer: a**(29655\/3752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 30 = -8*o. Solve 24 = -o*p + 9*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/((s**(-7)*s)\/s)*s\/(((s**(3\/8)*s)\/s)\/s)*((s*s\/s**0)\/s)**(13\/4) assuming s is positive.\nAnswer: s**(111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -7*t + 5*t - 25, 5 = r - 2*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -209, -316, -423?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 109. What is the third biggest value in 1\/4, z, -1\/7, 1.9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128870 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - d + 3*d = 0. Suppose d = -6*w + 171 - 3. Calculate the highest common divisor of 21 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3 + 3)*(19*r + 174 - 174) + 4 - r**2 - 4 + 3*r**2 - 6*r**2 + 14*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.2, -25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14*d + 6. Let n = -18 + 14. Let v(i) = -5*i + 2. What is n*x(y) + 11*v(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*h - 24*h - 42. Let c = -1133 - -1278. What is the remainder when c is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 2 - (14 - 16)) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 1)*(8 + -6). What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f - 6. Let j be 74\/56 - f\/((-7)\/(-4)). Put 0.3, -0.11, j, 0.5 in decreasing order.\nAnswer: j, 0.5, 0.3, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1634 - -1640. Let o(c) = -c**3 + 5*c**2 + 5*c + 2. Let r(x) = -3*x**3 + 15*x**2 + 15*x + 6. Let n(v) = 11*o(v) - 4*r(v). Determine n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 87023.\nAnswer: 609161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/80 - a**4\/4 - 9*a**3\/8 + 2*a**2 - 118*a. Determine n so that p(n) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 2\/(-1) + -5. Let s(c) be the third derivative of -c**6\/120 - c**5\/15 + 7*c**4\/24 + 5*c**3\/6 + 2*c**2 + 204*c. Calculate s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110002 + 2022?\nAnswer: 1112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 36574.85 decades?\nAnswer: 365748.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 1. Let k(b) be the second derivative of -2*b**2 + 0 + 1\/2*b**3 - 31*b. Give -k(h) - 4*w(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1050)\/(-4250))\/((-54)\/(-90))*18\/21?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6778.738ug?\nAnswer: 6.778738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 211307065 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2447, -6094, -15991, -35264, -67039, -114442?\n\"Answer: -521*c**3 + c**2 - 3*c - 1924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r + 243 = 0. Let t = r + 175. Suppose 2*g = t - 20. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -41.62421.\nAnswer: -24.974526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20020 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 35 = d. Suppose -3*o - 59 = -b, -4*o - 307 = -5*b - d. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-12)*10*(-6)\/(-20)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/(l**(-4\/3)*l))\/l))**(-2\/3)\/(l**(-2\/3))**45 assuming l is positive.\nAnswer: l**(272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011000000110101 - 101?\nAnswer: -1001011000000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 + 0 + 0*i**3 - 2 + i. Let k be v(2). Suppose 3*u - k = -5*h, 3*u = -4*h - 2*u + 14. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**3 + m**3 + m**3)*(0*m + 3*m - m) + (372*m**2 + 2*m**2 - 8*m**2)*(4*m**2 - 2*m**2 + 2*m**2) to f*m + b*m**4 + s*m**2 + l + n*m**3 and give b.\nAnswer: 1462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 163 - 7*z + 2*z - 151 + 354.\nAnswer: -3*z + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18138 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4809)\/6183)\/(10\/18).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622906738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122.56 * 3.\nAnswer: 367.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -714 + 744. What is the lowest common multiple of w and 114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.054, 0.5, 0, -54.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 4*r - 2. Let s be j(-6). Let v(u) = 26332*u + 9167*u - 6334*u + 24835*u. Let z be v(s). Round z to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27679997 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 4*s + 44 = -8*v, 0 = -15*v - 5*s + 115 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/120 - c**5\/20 + c**4\/8 - 5*c**3\/6 + 4*c**2. Let h be w(-4). Let i be 15\/(-3)*(-6)\/(-10). Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*(-238)\/21?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 8*v**2 + 2*v + 18. Let b be t(-8). Solve -3*k - b*k = -15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 14 (c) 0.004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.2619 * -1.4\nAnswer: -1.76666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1164*s**3 - 11 + 30 - 14 - 7 - 2*s**2 - 3*s. Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15844421 to the nearest integer?\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3714?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 100*c + 4*c - 1892, c = -26*m + 31*m + 12 + 26 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.064 - -12.97578\nAnswer: 13.03978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p**2 + 8093*p - 23897. Calculate t(-581).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 92\/20 - (1 + (-7)\/5). Let q be y\/(15\/(-153))*(-3 + 4). Let v = 55 + q. Solve 4*l + v = -8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/67 + 191\/335. Let h(m) be the first derivative of m**3 + 3\/4*m**4 + 0*m - 3\/2*m**2 - 1 - x*m**5. Factor h(c).\nAnswer: -3*c*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195752923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60582.\nAnswer: 2, 3, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 42, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -4. Let t(u) = -u**2 + 7*u - 6. Determine t(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 4.9. Let q(w) = w - 7. Let t be q(6). Let h be -4 - 6\/(-1) - t. What is the nearest to 0 in d, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/((-36)\/(-27)*(-60)\/(-400))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -152, -297, -442, -587?\n\"Answer: -145*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*p - 119 - 204. Let m(f) = -71*f - 22. Let k be m(-7). Calculate the highest common factor of k and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.1*-1.29\nAnswer: 16.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-40)*5*13*(-92)\/(-69).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115189 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 104454 + 0*c**2 - 4*c**2 + 3*c**2 - 22145 + 0*c**2.\nAnswer: -c**2 + c - 126599","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/7600 and 63\/304.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/35 - (-4 + (-32)\/14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vppvpppppppv. Give prob of picking 3 v.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmpzppwwppw. Give prob of picking 1 p and 1 m.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*f + 109*f = 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8920959 * -0.2.\nAnswer: -1784191.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6278*z - 34114 + 272344 - 41947 + 155285 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.0922 times -200\nAnswer: 218.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -19. What is the common denominator of 3 + -5 - (-98)\/b and -33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 4)*(-211 - 6*k + 211) + 2 - 2 + k)*(2 - 6 + 2)*(-k - 2*k + 0*k) to n + m*k + j*k**2 and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59, -285, -667, -1211, -1923, -2809, -3875?\n\"Answer: -j**3 - 72*j**2 - 3*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10587629419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*i - 18 = 286, 0 = i. What is the remainder when q is divided by ((-9)\/4)\/(3\/(-36))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 427707 by -47523.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4237?\nAnswer: 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 101100010?\nAnswer: 101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1114291 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 43 - 9*c + 3*c - 36 + 8*c - c**2 + 2*c. Give u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1086 = 2*u - 5*u - 3*p, -724 = -2*u + p. Let x = u + -366. Sort x, 0.1, -2\/49, -0.2.\nAnswer: x, -0.2, -2\/49, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 0.92. Let a = k - 2.1. Sort 2, a, -0.2 in descending order.\nAnswer: 2, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -93*i**3 + i**2 + i. Is d(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 15176, -4, -1, 0 in ascending order.\nAnswer: -4, -1, 0, 14, 15176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/(-10) - -5)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 512819424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l**2. Let r(m) = -m**2 + m + 2. Suppose -18*u = -55 - 1241. Let n(a) = -16*a**2 + 18*a + 36. Let j(o) = u*r(o) - 4*n(o). What is h(j(i))?\nAnswer: -512*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1, -0.026, 3\/5, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 286 = -r. Let i = 1571\/11 - r. Let d = -1 - -0.7. Put -0.4, d, i in descending order.\nAnswer: i, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - k + 1. Let h(u) = u**3 + 2*u**2 + u + 1. Let a(z) = h(z) + q(z). Let m be a(0). Solve 2*d - 8 = 5*w + 5*d, m*w = 4*d + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 720?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times 82787\nAnswer: 32286.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 10*s**2 - 56. Let p(z) = 2*z**3 - z**2 + 2*z - 3. Determine p(h) + w(h).\nAnswer: 3*h**3 - 11*h**2 + 2*h - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -2\/767, 30\/7, -5.\nAnswer: -5, -1, -2\/767, 2, 30\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 41307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*l + 307*l = 253861. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**4 + 1 - 1 + (33*t + 32 - 32)*(15*t - 8*t**2 - 15*t)*(-5*t + 5*t - 2*t))*(-2 + 6 - 3)*(3 - t - 3)*(-1 - 1 + 0).\nAnswer: 1064*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 52*r + 30400 = -31550. Calculate the greatest common divisor of r and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -387, -4, -1, 0, -61 in descending order.\nAnswer: 0, -1, -4, -32, -61, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 8:46 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3 + 4 - 6*b**2 + 2*b + 3. Let z(g) be the second derivative of -17*g**4\/12 + g**3 + 11*g**2\/2 - 7*g + 2. Let v(k) = 8*l(k) - 3*z(k). Give v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4796 + 4796 - 5*p**2. Let u(i) = 285*i**2. Determine f(u(k)).\nAnswer: -406125*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867471.\nAnswer: 31, 107, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-9) + (-6228)\/(-81). Let t be 1639\/i + 4\/(-14). Let s(m) = m + 48 - 48 + t*m. Let h(n) = -n. What is s(h(x))?\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(220)\/sqrt(10) - sqrt(22)) + sqrt(22))\/(sqrt(11)*3*2).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 1 - 10*z - 1 + (-466*z - 50*z + 155*z)*(1 - 2 + 0) - 3 + 3 + z.\nAnswer: 352*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2 + 248280222*x + 5136922386364107 = 0.\nAnswer: -41380037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9320.253 rounded to the nearest 10?\nAnswer: 9320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 25. Calculate the smallest common multiple of m and 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 26*m. Let h(g) = 25*g. Calculate 7*h(p) - 6*v(p).\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73.327 - 74.4. Let b = g - -0.053. What is b rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1422208 is divided by 474019.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2904 divided by 1\nAnswer: 2904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z - 58. Let a be m(-5). Suppose a*k - 6*k + 84 = 4*l, -4*l - 5*k = -89. Which is smaller: 2\/5 or l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 11 = -2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*o**2 + 190 + 125*o**2 + 188*o**2 + 190*o**2 wrt o.\nAnswer: 1066*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1098200 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1602 + -83?\nAnswer: -1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75309 + 677783\/9. Let c(u) = u**3 - 6*u**2 - u + 5. Let o be c(6). Is o at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 423 + -420. Let i(o) = -5*o**3 + 52*o**2 - 49*o + 2. Let h(c) = -6*c**3 + 51*c**2 - 48*c + 3. Let m(f) = x*i(f) - 2*h(f). Factor m(y).\nAnswer: -3*y*(y - 17)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -870 - 6*w + 3*w + 745 to c*w + h and give h.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10160 (base 7) in base 15?\nAnswer: -b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3*(-6)\/(-6)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146777 - -146728. Suppose -3*f - 90 = -f. Is f less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62459168 divided by -23\nAnswer: 2715616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49128383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 562, 1171, 1760, 2299, 2758, 3107, 3316, 3355?\nAnswer: 3194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((((-49)\/(-273))\/(-7))\/1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 877 - 720. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 divided by -2391?\nAnswer: -142\/2391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*z - 4. Let b be (-45)\/z*(-8)\/(-24). Let j(f) = f**2 - 3*f - 1. Let u be j(5). Solve -5*o = -4*w + b, -6*w + 3*o + u = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11380, -22742, -34104, -45466?\nAnswer: -56828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 77032903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {h: 2, q: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*y**2 + 179*y**2 - 2 - 84*y**2 to the form l*y**2 + n*y + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -948, -671, -394, -117, 160, 437?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1918 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4140 divided by -46\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5502 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-30)\/(-20))\/((-3)\/(-184))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -125255?\nAnswer: -501020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23694.95 grams to nanograms.\nAnswer: 23694950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2404? (a) -28 (b) 0.1 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 811211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 4 - 66 + 21 + 41.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19104403, 19104399, 19104393, 19104385?\n\"Answer: -u**2 - u + 19104405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -276166628.6141\nAnswer: -276166629.0141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:31 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19276\/(-6588) + ((-2)\/(-27))\/(-1). Put j, 1619, 1, -1 in ascending order.\nAnswer: j, -1, 1, 1619","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 55. Let y = m + 38. Find the common denominator of 2\/y*(-5 - (-20)\/8) and 2\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*x + 2163 = 1371 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239928624 is divided by 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**2 - 34*p + 12. Is n(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -3*g - 4*i, 171*g - 169*g - i + 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + x + 8 + 5*x**2 + 3*x - x**3 - 3*x + 6*x. Suppose 2*s + 0*l - 6 = -2*l, -5*s + 39 = -3*l. Give u(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -98 and 62015.\nAnswer: -6077470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-42)\/18 + 19\/(2850\/(-40))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 35*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 15, 35 = 2*u + 5*d. Let q = -3 + u. Suppose 2*k + 54 = q*l + 8, 0 = -5*l + 2*k + 103. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose -h - 8 = -5, w*h = d + 1. Let u = d + 16. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -88*n - 17. Suppose 2*l - 3*v + v - 18 = 0, -4*v = -2*l + 10. Let u be a(l). Let o = -626 - u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*3 + sqrt(880))\/(sqrt(30)\/(sqrt(6)*-1)).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697233 is divided by 17867.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -688.0968 + 688. Let w = z - -0.09682503. Round w to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2272 = -2*u + 2290 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**2 - 24*k + 5. Let f be q(4). Suppose -f*h + 4*r + 1831 = 0, 3*h - 5*r = -7*r + 1081. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1353 and 362.\nAnswer: 489786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66168 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 585\/75*(-10)\/(-2). Suppose t = a + 4. Let q = a - 19. Solve 2*g + 4*x - 3*x - 6 = 0, q = 4*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110001100 + -101?\nAnswer: 110110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -9.16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j**5 - 76*j**4 - 74*j**3 + 20*j**2 = 0. Calculate j.\nAnswer: -1, 0, 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -39 - (-1019 + 1018)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 680?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2 and 18\/(-5)*(-13)\/(-40).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -37 - ((4 - (-3 + -26)) + -36).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(76) + -5 - (sqrt(19) + sqrt(19) + 5 + sqrt(19) + -1)))**2.\nAnswer: 18*sqrt(19) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.13593km in nanometers?\nAnswer: 9135930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 150443596 divided by 37610899\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1041? (a) 27\/5 (b) 2\/5 (c) -0.2 (d) -1\/11 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4 + 6. Let t(u) = u**2 + 6*u + 5. Let x be t(f). Solve -5*k + 35 = 2*i, 2*i - x = -3*i - 4*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 26800*b - 2 + 27141*b - 71648*b.\nAnswer: -71307*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*x - 12, 3*i = x + 52 - 68. Suppose 2*s - 40 = 4. Put -3, x, s in ascending order.\nAnswer: -3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 58599927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 13 + 8*p as c + t*p and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/12 + (13497\/12 - 2). Let t = s - -1396. Let q = t + -928. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 6. Let k be t(-6). What is the units digit of (-992)\/k + (1\/3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 131 = -257 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2241, 15506, 50809, 119172, 231617, 399166?\nAnswer: 632841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53630642 rounded to four dps?\nAnswer: -0.5363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3.1 (b) -105 (c) -5 (d) -2\/19 (e) -2 (f) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 5. What is l(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/(-14) + 6723\/189 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 7*p - 955. Calculate b(-26).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 25*v + 85. Is y(-33) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.1. Let o be (6*1\/2)\/1. What is the closest to 1\/3 in p, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*b + 32, 4*d + 1827 = 3*b + 1817 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/3 (b) 2 (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/4 - 2825*f\/2 + 229969\/4 = 0. Calculate f.\nAnswer: 41, 5609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) -19 (d) 13\/7 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-0.17\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 28*y**2\/5.\nAnswer: y**2*(y + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(3*y - 1 + 1)*(-2729*y + 2729*y - 3*y**2 - 133).\nAnswer: -18*y**3 - 798*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 396.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i. Calculate s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 3\/73 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 44*b + 267. Let z be u(-6). What is the first derivative of 227 + 154*i**3 - 15*i**z + 99*i**3 wrt i?\nAnswer: 714*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5553*k - 62 - 66 = 5561*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0 = -12, 0 = 5*k + 4*j - 292. Suppose 2*f + 2*f + s = 245, -2*f + 121 = -s. Let v = f - k. Solve 10 + 0 = -v*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 1.6 (b) 4 (c) -2481 (d) -9 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91 take away 56.39?\nAnswer: -57.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b5 + -21?\nAnswer: -4d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**2\/2 - 17*a - 35. Let f = 45 + -45. What is z(f)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 7) in base 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/5*(-8)\/6. Sort u, -5, 3 in descending order.\nAnswer: u, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 9428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -11. Let z(v) = -v + 3. Let u be z(l). Solve 2*h = -u*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Suppose 0 = -2*d - i*d. Let v(b) = -b**3 + b**2 + b + 4. What is v(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 11*g + 225 = -6*g, 5*c + 4*g - 222 = 0. What is the greatest common factor of c and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 20*m**2 + 21*m + 4. Let r be d(21). Suppose 0*z + 114 = 2*z - r*s, -s = -5*z + 285. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 42072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/114)\/(1\/4*2). Let q(s) = s**3 - s + 1. Let u be 0\/((-1 - -2) + -2). Let p be q(u). Which is bigger: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21 = -4*a, -2*a + 2*l = a - 3. Suppose 20*g + 1202 = 1302. Put -21, g, a in decreasing order.\nAnswer: g, a, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -10631747?\nAnswer: -10631755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1393 (b) -10 (c) -6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14586489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1))\/(s*s**(-1)))\/(s\/(s\/s**0))**(4\/35) assuming s is positive.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 7*z + 12. Let t be h(-5). Let g be (11\/t)\/((-1)\/(-4)). Let a = g + -8. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146148 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42672 and 503840496?\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58199 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -9*d**4 + 3569*d**3\/7 + 4916*d**2\/7 + 820*d\/7 - 464\/7 = 0.\nAnswer: -1, -4\/7, 2\/9, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:15 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 3*l + 14. Give c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 9833305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(104) - (sqrt(104) - -1*sqrt(104) - sqrt(104)))*2)\/(sqrt(128)*-2))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 404\nAnswer: 1\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 579541.369903 + -579574.37. Let t = 38 + -5. Let n = t + m. Round n to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from kfeweehe.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 331427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i**3 + 0 + 0*i + 1\/70*i**7 + 0*i**6 - 11\/60*i**5 + 26*i**2 + 65\/24*i**4. Find the second derivative of j(b) wrt b.\nAnswer: 36*b**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, 705, 3988, 10773, 22224, 39505, 63780?\nAnswer: 96213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-5) - (1 + -3). Let q = -374.6 + 375. Sort q, i, -0.3 in ascending order.\nAnswer: i, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 6*k - 8 - 13 + 1 - 9.\nAnswer: -6*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 4}. What is prob of picking 1 b and 2 v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8ec (base 15) to base 6.\nAnswer: 13210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(11) + (sqrt(22)\/sqrt(2))**2).\nAnswer: -42 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103\/5 - 20. Which is the third biggest value? (a) -4 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 2, f: 1, k: 4, t: 3}. What is prob of sequence klq?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 14 - 4)*(-13 + 17 + 7)*(-4*w + 4*w - w**2)*(0*w + 0*w - 3*w).\nAnswer: -858*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1.085, 2, -0.4, 0.3 in descending order.\nAnswer: 2, 1.085, 0.3, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 4*a = 66. Let g be -2 + (-4)\/a - (-3248)\/24. Let v = 70 + g. List the prime factors of v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 18*b - 3. Calculate p(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r - 52*r - 64 = 0. What is the tens digit of ((-2712)\/(-8) - 15)*(-26)\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:57 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2573603, -5147197, -7720781, -10294349, -12867895?\n\"Answer: f**3 - f**2 - 2573598*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2337438c - -4?\nAnswer: -23374388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6728, -1882, 2964, 7810?\n\"Answer: 4846*g - 11574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - 1 - (-6 - -7). Let n(v) = -v**2 - v - 1. Let l(m) = 7*m**2 + 3*m + 9. Let w(a) = x*n(a) + l(a). Does 3 divide w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/2 + -12 + (-2550)\/(-100)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (6 + -12)*-1. Let h(u) = 218*u**2 - 10*u + 11. What is the hundreds digit of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123\/(12\/4) + -3 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 1 - 1)*((0 + 5 - 3)*(7*z**3 - 4*z**3 - z**3) + 11*z**3 - 9*z**3 - 15*z**3).\nAnswer: 18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282 + -196. Let m = 86.4 - v. Is -0.1 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/(-54 - 591024\/(-10944)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, p: 11}. What is prob of sequence pz?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 7 = 31. Let u = 7 + -6. Let s be 2 - (0 - u) - -3. Solve -3*t = -s*t + a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/48733113 and -55\/104?\nAnswer: 389864904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 7. Let g be u(-5). Suppose 0 = 4*k - 4*x + 24, 3*k + x + g = -4*x. Let s be (0 - (11 + -4)) + 2. Which is smaller: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q + 6*p - 6 = 65*q + 11*p - 66, 5*q + 2*p + 18 = 3*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001899853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*b - 12, 75*f + 18 = 80*f + b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -0.31, -3, 1\/3, 7, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2377*o - 63. Let f(w) = -792*w + 18. Determine -7*f(x) - 2*j(x).\nAnswer: 790*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4950 is divided by 204?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 778372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 6*d**2 - 5*d - 5. Let g(w) = w + 2. Let t(r) = -r - 1. Let a(s) = -2*g(s) - 5*t(s). Let p be a(-2). Calculate k(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266 - -275. Put j, -4, 5, 0 in descending order.\nAnswer: j, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 147.3 (b) 0 (c) 1 (d) -0.181 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2)*n)\/n)\/(n\/(n\/(n*n\/(n*n**(-12))*n))))**(-3\/2)\/(n*n\/n**8*n*n*n*n*n**(4\/11))**(-5\/13) assuming n is positive.\nAnswer: n**(3342\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4101, 4089, 4065, 4023, 3957, 3861, 3729?\nAnswer: 3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 15*m + 36. Let r(h) = 4*h - 15. Let z be r(m). Solve -l - 4*y = -14, -15 - z = 4*l - 4*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*b - 48, 42*t + 3*b = 37*t + 12. Solve 23*l = t*l + 85 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 29*f - f**2 + 17*f - 31888 + 0*f**2 + 31895. Suppose 0 = s + 2*s + 2*b + 37, -3*s + b = 22. What is u(s)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (4 + 1)) + 6. What is the tens digit of 1\/4*10*h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1111447 from -0.5.\nAnswer: -1111447.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 3*z**4 + 0*z**4)*(-35 + 24 + 25) + (-2*z**3 - 11 + 11)*(-35*z + 14*z + 14*z).\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -24 + 42. Suppose -r*o - 2*o = -88. Suppose 370 = o*f - f. Calculate the remainder when f is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v - 44 + 206 = 5*k, 4*k = 2*v - 12 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3136, 12368, 27694, 49114, 76628?\nAnswer: 110236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y = 32*y + 57 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -2670288?\nAnswer: -2670337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:18 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -92*n**3 - 9*n + 7. Let g(i) = 109 - 220 + 112 - 3*i**3. Let q(k) = -3*g(k) + v(k). What is the second derivative of q(p) wrt p?\nAnswer: -498*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 12:44 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h - 33408 = -239598. What are the prime factors of h?\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001464391 to 7 dps.\nAnswer: -0.0001464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*u**3 + 10*u**4 + 9*u + 33*u**3 + 31*u**3 - 97*u**3 to y*u**2 + k*u + x + s*u**3 + p*u**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53248169\/198 - -268931. Let q = 9\/22 - w. Let a = 12180 + -12187. Sort a, -2\/5, q in decreasing order.\nAnswer: -2\/5, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 289149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166 and 22?\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (-26 - 34 - 30)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1009*f**3*h**2 - 2*f**3*h + 648656*f**3 - 2*f**2*h**2 + 7*f*h**2 + 2*h**2 wrt h.\nAnswer: 2018*f**3 - 4*f**2 + 14*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -12*d**2. Let v(j) = 4688 - 2*j - 4688. Give v(y(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 59*f - 10. Let q(r) = -208*r**2. Give x(q(s)).\nAnswer: -12272*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 144 (c) -3 (d) -4 (e) -11\/19 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 8 = 8*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(2 + 0) + 7. Let f = -96 - -51. Is f*(-5)\/50*y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -31*o**2 + 114*o**2 - 40*o**2 - 31*o**2. Let n(u) be the second derivative of -u**4\/4 + 4*u + 7. Calculate g(n(l)).\nAnswer: 108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 5707754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1916724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 2a30ad?\nAnswer: -2a30b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 647 + 579 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l**3 + 1\/24*l**4 + 1\/60*l**6 - 9*l**2 + 1\/24*l**5 + 0 + 0*l + 1\/420*l**7. Factor z(y).\nAnswer: y*(y + 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f + 2280. Let s = 6654 + f. Suppose d + 5*n - 2140 = -196, -2*n + s = 4*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398+-785\nAnswer: -1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4827, 38398, 129281, 306048, 597271, 1031522, 1637373, 2443396?\nAnswer: 3478163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/17 or 27?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 73, 615, 2091, 4969, 9717, 16803, 26695, 39861?\n\"Answer: 78*g**3 - g**2 - g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1192)\/(-4172))\/(30\/(-14) - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 24 = 6*v. Let y(o) = 5*o**2 - 5. Does 8 divide y(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 - 22*u**2 + 237*u**3 + 14*u**2.\nAnswer: 237*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 210*g**3 - 2801*g**2 + 11244*g - 14112.\nAnswer: -(g - 196)*(g - 8)*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 4*s - 4*s)*(-293 - 73 + 52).\nAnswer: -628*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 + 120*p - 42. Let i(l) = 2*l**2 - l + 14. Give 2*b(t) + 6*i(t).\nAnswer: 2*t**2 + 234*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 1 (c) 0.5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 1. Let q be d(2). Suppose -v - 4*t + 16 = 1, q*v + 5*t = 135. Suppose 0*g - 29 = -3*g + b, 0 = g + 5*b - v. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*h = 7, -5*t - 5*h + 28 = -7. Is 17 a factor of t\/28 - (2 + (-211)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(-3 + sqrt(1584) + sqrt(1584) + (sqrt(1584) + -1)*-1 + -4) + 0))**2.\nAnswer: -20736*sqrt(11) + 233280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 20 = 2*m. Suppose -4*q + 0*q = -2*t + 28, -q + 83 = m*t. Suppose 10*c = r + 5*c + t, 4*c = -2*r + 30. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j = 0. Let k be (2 + j)\/((-2)\/(-3)). Is -115*-4*k\/30 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 - 18*w + 36*w + 2*w**2 - 16*w + 2*w**4 - 1 to n*w**3 + j + s*w + m*w**2 + g*w**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/570 and 1\/627?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 11*y = -33488, 2*a + 89*y = 85*y + 33460. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0 + u - u**2 + 1\/2*u**3. Let h(j) = -3*j - 3 + 0 - 2 + 10*j. Calculate 4*h(g) - 10*r(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -63\/256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a + 10. Let g be c(-4). Let y = g - -72. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3\/23 - 21366732*w**2\/23 + 85466904*w\/23 - 3715952 = 0.\nAnswer: 2, 10683362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/13)*t)\/t)\/(t**(-2\/11)*t*t)*t**6*t\/(t*(t**(-1\/3)*t)\/t)*t)**43 assuming t is positive.\nAnswer: t**(98900\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 60 + 42 = 0. Let q(a) = a - 1. Let y(i) = 7*i - 4. Determine k*q(b) - y(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x + 1. Let k(m) = m**2 + 3*m + 2. Let p(t) = 3*c(t) - k(t). Suppose -2*i - 3*v + 0*v = 4, 2*v + 4 = 0. Determine p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - y + 9*y**2 + 364*y**3 + 0 - 335*y**3 + 4.\nAnswer: 29*y**3 + 9*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 15465822.\nAnswer: 77329110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h**5 - 400*h**4 - 4*h**3 - 100949*h.\nAnswer: 180*h**3 - 4800*h**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 98 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**3 - 550*f**2 - 2625*f = 0.\nAnswer: -105, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57461181?\nAnswer: 3, 359, 53353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.05 + -5. Let y = -2.05 + x. Let v be (40\/(-160))\/(1 - 2). Which is greater: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3638 + 3722)*(1*-1 - (-18)\/14).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 852277 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:04 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4932 - 4197. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 10 + 4 + 2*b**2 + 0 to x*b**2 + d*b + j and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -177\nAnswer: 5.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (0 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 33 = -4*s, -y - 2*s = -0 - 1. Suppose -y*d + 2*n = -51, 2*n - n = -2*d + 15. Solve z + 2*z = -d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 1. Let g be l(-2). Suppose -4*h = -g - 15. Suppose 0 = -5*s + n + 23, -2*n + h*n = -6. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 12*h - 180. Let p be w(18). Solve -11*y - p + 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32*(3\/6 + 1). Let b = 23 + -26. Does 7 divide 7\/(28\/d) - b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.8. Let h = 8.167 - 0.167. Which is greater: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 - 4*z**3 + 6*z**3 + (-8644*z**2 - 26 + 6173*z**2 + 23)*(-2*z + 2*z - z) - 4*z**3 - 3*z**3 + 5*z**3 as k*z**3 + h*z**2 + d*z + i and give k.\nAnswer: 2468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*n**5 + 19*n**2 - n?\nAnswer: 8760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:30 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 222712.\nAnswer: 89084.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/135 - 4\/(-10)) + ((-180235)\/1305 - -138).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1053) + 0) + sqrt(1053))*6*-5.\nAnswer: -1620*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -713, 901?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -27. Let l = -4 - w. What is the greatest common factor of l and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211*g = 14078 + 7720 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.1 (b) 2 (c) 708 (d) -3\/14 (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 151, 537, 1271, 2467, 4239, 6701?\nAnswer: 9967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8845*h**3 - h**2 + 46870*h wrt h?\nAnswer: -53070*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00359330098 to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 e when three letters picked without replacement from gyeydyyeyggyedeydgi.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. Solve 5*l + 3*g + d = g, -4*l - 2*g = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*b**4*g**2 + 2*b**4 + 1970*b**2 + 4*b*g**2 + 2*b*g + 2*b + 5957*g wrt b?\nAnswer: 204*b**2*g**2 + 24*b**2 + 3940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11194624.68 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10346927, 10346929, 10346941, 10346969, 10347019?\nAnswer: 10347097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27.1, -3, 1\/14, 4, -28, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + l, -4*l = 4*w - 3*l. What is the nearest to w in 2\/5, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Let f = l - -5. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 220041.15\nAnswer: 1100205.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12244480936 - -1.058.\nAnswer: -12244480934.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 18 = -5*l - 2, -2*l + 4*f - 20 = 0. Suppose l = -s - 4*o + 13, -3*s - 2*o + 3 = o. Let x = -13 - -9. Is s at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -b - 0*b - j, 0 = 2*b - 5*j + 7. Let r(q) = -q - 1. Let c be r(b). Solve 0*i = -c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*l**3 - 2*l**2 + 89*l + 7*l - 7*l + 2*l**2 wrt l?\nAnswer: 222*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/12 + (-2 + 7)\/(-30). Solve 11 - 26 = l*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 37\/2065, -324 in increasing order.\nAnswer: -324, 37\/2065, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 3 = -9*y - r, -5*r = -9*y + 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - 5*w**2 - w + 4. Let o be t(-3). Suppose 2*h = o + 78. Is h a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 15*s**2 + 11*s + 5. Let c(n) = 3*n**2 - 2*n - 1. Give 11*c(m) + 2*i(m).\nAnswer: 2*m**3 + 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -202504.\nAnswer: -202504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*p = 50, 0 = -5*n - p + 3*p - 35. Let b(h) = -h**3 + 3*h**2 - 9. What is the hundreds digit of b(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a milligram in micrograms?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-4)\/o)*o**(-4))\/(o**1*(o**(-2\/3)\/o)\/o*o))**(-4\/19))**(28\/3) assuming o is positive.\nAnswer: o**(-560\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -27*s**4\/2 + 141*s**3 + 2333*s**2\/2 + 556*s - 320 = 0.\nAnswer: -5, -8\/9, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-22) + (-78)\/(-66). Let l(z) = -3*z + 3. Let h be l(o). Find b such that h + 1\/2*b**3 - 1\/2*b**2 - b = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-9)*(-585)\/(-15). Let x(w) be the first derivative of -29 + 15\/4*w**4 - c*w**2 + 25\/3*w**3 + 40*w. Let x(m) = 0. What is m?\nAnswer: -4, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j + 0*j)*(-2*j + 0*j + 0*j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242460 and 404100.\nAnswer: 1212300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -25, 3*m - 263 = -3*j + 8*m. Let g = -76 + j. Solve -g = y + 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1055 divide 10293837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1266*f - 1331*f - 1638 = -468 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -118\/15 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**3. Let g(t) = -7*t**3. Let y = -998 - -992. What is y*m(l) + 4*g(l)?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -32.83. Let s = z + -0.03. What is the third biggest value in 0.3, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-5 + 1 + (-59 - 15)). Suppose i = 5*h + 43, -3*i - 2*h + h + q = 0. Calculate the remainder when (17 - i)\/((-2)\/(0 + 2)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 671451 by 1.\nAnswer: 671451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, f: 3, d: 4, m: 1, r: 5}. Give prob of sequence frd.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o. Is 2 a factor of 0 + (1 - -1) + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12604221*r**4 - 6553369?\nAnswer: 50416884*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 + 28*l**3 + 16*l**2 - 192*l - 256.\nAnswer: -(l - 4)**2*(l + 2)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2830 is divided by 566.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let v = 6 - 1. Let u(d) = 5*d - 4*d - v*d. Calculate u(f(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (109 - 1)*(-1)\/2. Let x be z\/(-15) - (-4)\/10. Suppose -4*o - 24399990 = 5*p, -x*p = p - 10. What is o rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -12, 0 = -4*f + 5*b + 21029. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 37*r - 35*r. Solve l = 5*l - r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s - 6*s + 31*s - 5*s + 4. Give a(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 2 - 2 + (2*q + 3 - 3)*(-1 + 1 + q**2) + 14*q**3 - 71*q**2 - 47*q**3 + 26*q**3 + 10*q**3 to the form m*q**2 + k*q + c*q**3 + x and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 825103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11.6?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*p + 149, 0*p = -5*i + 2*p + 383. Let w(a) = -a**3 + 9*a**2 - 7*a + 12. Calculate the remainder when i is divided by w(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 5976846?\nAnswer: 65745306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -x + 82, -r - 7*x = -2*x - 59. Calculate the common denominator of (-6)\/r*1 + (-675)\/(-1430) and -31\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -186536.87 to the nearest 100.\nAnswer: -186500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 351, -37, -21.\nAnswer: -37, -21, -2, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54663125, 54663124, 54663123?\n\"Answer: -p + 54663126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 303 - 206. Let u = s + -68. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 674775 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 15 - 8 = 4*a, 5*u - 2*a - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -109 (b) -2\/9 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 30*g - 14. Let v be r(-23). Let d = -1216\/7 - v. Which is bigger: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 792?\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/(r*r**(3\/19)*r))\/(r\/(r**(-2\/17)*r*r))**(-4) assuming r is positive.\nAnswer: r**(-1837\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 40 + 64. Let s = -27 + w. Solve h - 21 = 4*l + 2*h, 4*l + s = -5*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 421*w - 872. What is n(4)?\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63a038 + 8?\nAnswer: -63a030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-21))\/(8\/(-28))*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqwe when four letters picked without replacement from wiiieiiiwqwiiiiiw?\nAnswer: 11\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16130 + 36387. List the prime factors of f.\nAnswer: 47, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -298, -642, -1228, -2140, -3462?\nAnswer: -5278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(606*f**4 - 606*f**4 + 16*f**5) + 3*f**5 + 2*f**5 - 4*f**5.\nAnswer: 17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*i - 7*i - 2*y, -2*i - 2*y = 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -333302*t**2. Let a(c) = 9*c. Give l(a(h)).\nAnswer: -26997462*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95941839 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4781 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 71, 141, 251, 413, 639?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108009*c**2 + 108006*c - 3.\nAnswer: 3*(c + 1)*(36003*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 7998 and 21217601.4.\nAnswer: 21225599.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*h**3 + 2*g*h*i*z**2 - 92*g*h*i - 2*g*i*z**2 - 2*h**3*i*z - 8*h**3*i + 2*h**3*z**2 + h**2*i wrt h.\nAnswer: 6*g - 12*i*z - 48*i + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/40 - d**5\/20 + 4*d**2. Factor q(u).\nAnswer: 3*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 0*n**2 - 8 + n + 5*n**2 - 2*n**2. Determine y(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1432666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n - 5 = 0. Suppose 2*v = -11 + n. Sort 2, v, 4 in ascending order.\nAnswer: v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*z - 1680 = -42*z. Let v(a) be the third derivative of 0*a + 0 + 1\/360*a**z - 1\/36*a**3 - 1\/720*a**6 + 1\/144*a**4 - 8*a**2. Factor v(n).\nAnswer: -(n - 1)**2*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -n + 15, 4187*n - 4201*n = -4*u - 260 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.00858, 1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:40 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(9\/(-2))\/((-3)\/16). Suppose -n + k - 3 = 3*k, 4*n - k = p. Calculate the greatest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 4*-1) + -1. Let z = 2 + d. Suppose -z*n = -4*n + 66. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325 - 325 + v + 5*v**3 + 46403*v**2.\nAnswer: 5*v**3 + 46403*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*l**2 + 121*l**2 - 11*l**2 + 3 - 3*l**2.\nAnswer: 72*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 + 0 = 0. Solve 2*z - 10 = -v*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60.035 times -0.05\nAnswer: 3.00175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 2. Let l(d) = -12*d - 8. Let p(i) = -2*l(i) + 9*x(i). Let z(f) = 9*f + 6. Let w(r) = 11*p(r) + 4*z(r). What is w(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**3 + 22290*p**2 - 1190520*p + 6341760 = 0.\nAnswer: 6, 48, 4404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 2359448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 64 + 50. Let i = -69 + 32. Let g = i + j. Calculate the greatest common factor of g and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/14))\/w)\/w*w**(-6)*(w**(-5))**(-3\/17) assuming w is positive.\nAnswer: w**(-1439\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 2 + 6)*(-3 - 1 - 1)*(w - 1 + 1) in the form g*w + r and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 40 - 18 - 4*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389 is divided by 693.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 + 5*w - 5. Let t(x) = -x**2 + x - 1. Let h(z) = 5*t(z) - y(z). Let o(g) be the third derivative of -g**5\/15 + 2*g**2. Give o(h(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -306?\nAnswer: 4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 22. Suppose 3*o - 29 = h. Suppose 3*q - 44 = 85. What is the remainder when q is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 65686804\nAnswer: -3\/65686804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l = 60*l + 72*l - 2754388. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eue?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3813.642ml?\nAnswer: 3.813642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-12)*36\/48.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b - 157. Let p be w(-20). Determine d so that 0 + 27\/4*d**2 + 3\/2*d - 3*d**4 + 9\/4*d**p = 0.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 12 = -2*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(264\/136))\/((-3)\/(27\/(-3))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 47 - 3*f**3 + 7*f**4 + 0*f**4 - 3*f**4 - f**4 - 14*f to k*f**2 + t*f**3 + j + o*f + i*f**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5593 - -7?\nAnswer: 559a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*b + 118. Suppose 0 = -5*c + b + 296. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -639, -942, -1229, -1494, -1731?\nAnswer: -1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. Let f be 3\/(-5)*1*-5. Suppose 6*t = f*s + 2*t - 23, 3*s + 2 = -t. Sort q, s, 4 in decreasing order.\nAnswer: 4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 400 = -16*v. Suppose -3*l - 5*m + 839 = 0, -l - 4*m - v = -368. Suppose l - 96 = 3*y. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 7:35 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2777.\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12*g + 91 = -9*g, 0 = -3*r - 6*g + 57. Solve -7 - 3 = 2*m + 4*x, -r = -m + 4*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q + 18 + 10 = -44*q. Solve 0 = q*v - 163 + 177 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 1178?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((-24)\/(-15) - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 262*d**3 - 4*d + 1. Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 352963, 705926, 1058889?\n\"Answer: 352963*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.22 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = 5*k + 2, 0 = 2*n - 4*k. Suppose g + g = 56. Calculate the highest common divisor of g and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2792103 - 570397. Round k to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 110*a + 96*a - 198*a.\nAnswer: 8*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**4 - 5*x**3\/2 + 3*x**2\/2 + 9*x. Suppose p(m) = 0. Calculate m.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20\/9, -1\/3, 0.3, -9, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224189 divided by -408063.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19583\/4 - 4871. Which is bigger: 24 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29898 is divided by 8688?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 65 - 5. Suppose 4*y - 156 = -0*i + 4*i, 2*i = 0. Calculate the remainder when y is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565319.8 rounded to the nearest one thousand?\nAnswer: 565000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 384440335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 13*a**2 - 13*a + 12. Let h be n(12). Suppose h = -k - k + 58. Let o = k + -29. Put -1, -4, o in ascending order.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*-2)**2 + (sqrt(85) + -1*sqrt(85))\/sqrt(5) - (-2*sqrt(1377)*6)**2.\nAnswer: -195840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5 + 4. Let f be 6\/(-4)*(-2)\/i. Which is smaller: f or -4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55575 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 3953766912?\nAnswer: 3953766911.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 17) + 1\/(5\/25).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-4)*(-1)\/1*60. Let d = p - 117. Is 158*(4 + ((-3)\/2)\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 1012 - 225 - 1013 + 2*v + 2250.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-8))\/((-2277)\/(-12)). Let v = -81283\/7590 + o. Let i = -3935 + 31553\/8. What is the common denominator of i and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 19 = -16055*p + 16054*p, 4*v = -5*p + 73 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5184336016 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7554 and 2912?\nAnswer: 10998624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 - -2.23. Let u = -8 + 8.8. Let r = u + k. Which is the second biggest value? (a) 5 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2\/7*y**3 - y**2 + 1\/2*y**4 + 2\/7*y**5 - 4\/7*y - 7. Let t(p) = 0. Calculate p.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -m + 199. List the prime factors of m.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c + 11*x = 22*c + 44, 5*c - 3*x = -12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-53856)\/85)\/(-44))\/(((-108)\/(-40))\/9).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 14*l**2 + 14*l + 11. Let y be t(-15). Suppose 40*w + 5364 - 5444 = 0. Put w, y, 1 in decreasing order.\nAnswer: y, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72.30907 years?\nAnswer: 867.70884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a00062 (base 13) to base 8\nAnswer: -16123762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1710.99999797 - 1711. Round m to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115934 and 455.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + (sqrt(13) + -3)*-3 + sqrt(26)\/sqrt(2)*-1)**2.\nAnswer: -72*sqrt(13) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(8\/(-80))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + -2*sqrt(891)*-2*-2)**2 + 2.\nAnswer: -576*sqrt(11) + 114058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9395835?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121000 (base 3) in base 16?\nAnswer: -489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) -4 (c) -1\/78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -18. Calculate the smallest common multiple of ((-6)\/9)\/(p\/36) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**3 - 2*y**3 + 3*y**3)*(104*y + 292*y**2 - 585*y**2 + 292*y**2).\nAnswer: 6*y**5 - 624*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*p - 8536 = -268*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 - 2*v**4 - 2*v**2 + v + 2*v**3 + 0*v**2 in the form y*v**2 + f*v + p*v**4 + a*v**3 + j and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 1\/(-2 + 1) + 2. Let p be 420\/18 + j\/(-6). Solve 12 = 3*b + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 412577 and 1087703.\nAnswer: 11964733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113914 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - 2*m)*(-8 + 23 - m + 0*m) - m**2 + m**2 - 2*m**2 - 1 + 2*m**2 + 1 + (m + m - m)*(-1 + 1 - m).\nAnswer: m**2 - 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.021? (a) 4\/3 (b) 39 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**6\/3 - 12*c**5\/7 + 29*c**4\/14 - 4*c**3\/7 + 212. Determine g so that a(g) = 0.\nAnswer: 0, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -42. Suppose 5*y + 0*v - 2*v + 153 = 0, y + 35 = -4*v. Is y at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 5, 2.52?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(7\/3 + -2). Suppose 5*w = -2*i + 34, -3*i - t = -2*i. Calculate the remainder when -1*(904\/(-80) + 2\/(-20)*-3) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1279*q**2 + 29*q - 148. Let x be a(6). What is x rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2\/7, -4\/7, 1, -6\/5 in descending order.\nAnswer: 1, -2\/7, -4\/7, -6\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1242514 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-56))\/((120\/(-175))\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i\/i**(-2\/79))**40 assuming i is positive.\nAnswer: i**(-22040\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -10 + 0 + -1 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*(h**(-3\/5)\/h)\/h)\/((h*h**(-3\/7))\/(h*(h**4\/h)\/h*h)) assuming h is positive.\nAnswer: h**(204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -159 + 224. Suppose -3*l = -n - c, -4*l + 2*n + 85 = n. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203*l - 613*l - 590*l + l**3 + 373*l**2 - 3*l**3.\nAnswer: -2*l**3 + 373*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/21 - 4*o**3\/7 + 18*o**2\/7 + 9*o - 1. Solve y(x) = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhqhhqmqh. What is prob of picking 1 h and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -949 - 1429 = -87*x + 1768 + 1770 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*l - 480, -5*i + 16 = -l + 526. Let o = 84 - i. What are the prime factors of o?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + (-1599)\/117)\/((-2)\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7819187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 211832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*y - 2*y - 21, 3*y + 3*d + 27 = 0. Let n be (y\/(-9))\/(14\/63). Solve -4 + n = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 712147 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1640 and 600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1842973, -1843331, -1843689, -1844047, -1844405?\n\"Answer: -358*o - 1842615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -500059 divided by -7?\nAnswer: 71437","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 + 12*n**2 - 1 to the form l + a*n**2 + i*n and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from {t: 2, y: 2, o: 1, a: 2, p: 2, d: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 11598*z**3 - 13271520*z**2 + 3780835200*z.\nAnswer: -3*z*(z - 1720)**2*(z - 426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96836254586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c - 5. Suppose -2*b = 3*b - 100. Let j = b - 9. Suppose -7 = -2*g + 3, -3*g = 4*i - j. Let y(w) = -w - 1. What is i*s(l) + 5*y(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 590648063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-21) - (-477)\/21.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124.4 - 20.4. Let a = g - 103.999838. Round a to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3 + q**2 - 3 + 0. Let f = 6 - 7. What is s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 7*x + 16. Let b be s(-7). Suppose 4*q = 5*v - 24, -4*v + 8*q + b = 4*q. Solve 4*u + 0*u = v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58444423*b - 38198313 wrt b.\nAnswer: 58444423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 4*f**2 + 5*f + 6. Let v be w(5). Let d be v + (0\/(-2) - 2). What is the units digit of (d - -3)\/(-1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:05 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11674321, -11674323, -11674325, -11674327?\n\"Answer: -2*z - 11674319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.197 times 0.0385?\nAnswer: -0.0075845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*q + 44 = 103*q. Solve 2*b + s + 5 = 0, 0*s + q = -4*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b + 117. Let z be t(-8). Let w(k) = 7 - 22 + z - 2*k. Give w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -701, 2\/49.\nAnswer: -701, 0, 2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p - 16 - 14 + 180. Calculate the smallest common multiple of p and 1185.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/34*((-6)\/(-15))\/1. Put 0, o, -3 in descending order.\nAnswer: o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b + 0 + 0*b**3 + 1\/6*b**4 + 1\/2*b**2. Differentiate r(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010110011101101 (base 2) to base 4.\nAnswer: -302303231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/15)\/((-30)\/(-75)). What is the remainder when 12 is divided by (v - -3) + 3 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*k = -9, 5*b - 3*b - k = -5. Let t be 2\/4*(b - -2). Suppose -d = 3*h - 30 - 20, -3*h + d + 46 = t. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 12*k - 1. Suppose 2*c - 11 + 3 = 0. Let b = -3 + c. What are the prime factors of i(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 2*t = -104, 351*m + t - 22 = 356*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828526 is divided by 353.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -279*c + 278*c + 12 - 11, 9*c = 5*n - 221 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 466433 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178 + 162 - 4*i + 2*i**3 + 0*i + 60*i**2 + 4*i to the form j*i**2 + u*i**3 + t*i + r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2065, 8764, 20095, 36058, 56653?\nAnswer: 81880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4)*0)\/(6 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 880 and 8832?\nAnswer: 485760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a**3 - 37*a**2 - 7*a - 11. Calculate k(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*sqrt(10)\/sqrt(5) + (sqrt(242) - 1*sqrt(242) - (4 + sqrt(2)*1)) + 0)**2 + -2.\nAnswer: -60*sqrt(2) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 + 6*p**2 + 5*p - 9. Determine t(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-10 - -32 - 43).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -79.66.\nAnswer: -398.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o**(-13)*o))\/o)*o**(-6))**(-31) assuming o is positive.\nAnswer: o**496","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -115*f**3 + 216*f**2 + 32*f - 3. Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or 1470?\nAnswer: 1470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40487\/672 + -1661\/28. What is the common denominator of 161\/120 and j?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**26*(w*w**(-23))\/w assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514005 is divided by 111?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/5)*d)\/d**(-3\/13)*(d*d**8*d)\/(d\/d**13*d*d))**(-2\/83) assuming d is positive.\nAnswer: d**(-2942\/5395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:33 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2142, 16847, 56748, 134445, 262538, 453627?\nAnswer: 720312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*r - 45*r - 19*r - r + 3 + 0 - 4 + (0*r - 3*r + 4*r)*(-3 - 2 + 3) to the form u*r + i and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s - 70. Let i be v(7). Let q(p) = p**3 + 9*p**2 + 14*p + 2. Let k be q(i). Solve -w - 2*w = k*b - 4, b = -2*w + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -937 + 936.9. Let h = -5\/4 + 1\/2. Let g = -1 - -1.3. Which is the closest to p? (a) h (b) g (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282386.\nAnswer: 2, 13, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/28 and 44\/93.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 37*m**3 - 6*m**2 + 6*m - 79. Let d(z) = -36*z**3 + 5*z**2 - 5*z + 79. Let g(y) = -6*d(y) - 5*p(y). What is the derivative of g(r) wrt r?\nAnswer: 93*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/20*16 - -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30325, 60680, 91063, 121474, 151913, 182380, 212875?\n\"Answer: 14*y**2 + 30313*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h. Let n(x) = x**3 - 14*x**2 - x + 17. Let j be n(14). Let s(i) = -14*i. Let t(k) = j*s(k) - 10*v(k). Let w(o) = 2*o**2. Determine t(w(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15727 = 3864*n - 662*n + 820*n + 112977 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16587*268.\nAnswer: -4445316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f*j*w - 16*f*j + 3*f*w + 34*f + 2*j*w - 38*j - 40*w wrt f.\nAnswer: 3*j*w - 16*j + 3*w + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5 = -3*j, 4*j + 40*c = 42*c - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 14 = -4*o, 4*o + 21 = -2*z - z. Find the common denominator of (-1444)\/448 + (-2)\/z and -41\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 4*h**2 + 6*h - 1. Let a be v(-5). Let f be 12\/(-9)*a\/2. Solve -12 - 8 = -f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*l - 65 = 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 25. Suppose -9 = -0*b - 3*b, 3*b = -f*w + 899. Suppose q + 5*i - 35 = 0, -5*q = 5*i + 3 - w. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-9))\/(1\/4))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-13)*(-60)\/8*(-16)\/2000*10.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863949.\nAnswer: 37, 50377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -5*b**3\/6 + 100*b**2 + 14*b. Calculate the remainder when z(14) is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*l + 4. Let s be 16548\/105 + l\/(-5). Suppose s = -5*m + 433. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 20)*6\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-1)**2 - (sqrt(80) + 0).\nAnswer: -4*sqrt(5) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 827516373 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 6d?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(3\/31)\/k*k))\/k**17)\/(k*k**(-12\/7))**(6\/11))**30 assuming k is positive.\nAnswer: k**(-1124790\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 4*c**2 - 2*c + 6. Let l be i(-5). Let f = -7 + 15. Let g be (f\/12)\/(6\/(-9)). Sort g, -4, l in descending order.\nAnswer: g, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3171246, -6342504, -9513772, -12685050, -15856338, -19027636?\nAnswer: -22198944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 6.\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -98 and 123410.5.\nAnswer: -12094229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34487 (base 14) in base 10?\nAnswer: 127127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 399*s + 398*s - 1587*s - 34 + 394*s + 398*s. Let d(w) = -w**3 - 9*w**2 - 3*w - 5. Let v be d(-9). Let t be u(v). Sort t, -5, -3.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.854009ng?\nAnswer: 0.000006854009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -880*a**5 + 4*a - 7*a + 34*a + 19*a + 5*a - 7 wrt a?\nAnswer: -17600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)\/q*q*q\/(q\/q**(-3\/8))*q*q*q**(1\/4)*q\/(q*q**5)*q)\/(q**0*q**(1\/2)*q)**21 assuming q is positive.\nAnswer: q**(-2437\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve k = 0, -2*i + 59*k - 1 - 3 + 10 = -i + 224*k + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -4963?\nAnswer: 4967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329190 by 32919.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 90 from 21596.1474.\nAnswer: 21506.1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2284, 4854, 7424?\nAnswer: 9994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2257, -2356, -2449, -2536, -2617, -2692, -2761?\n\"Answer: 3*u**2 - 108*u - 2152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:43 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/17 (b) -4 (c) -177\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 159 + 19*m + 41 + 40 + 40 + 24. Let v be 36*(-1 + (-6)\/(-4)). Let i be w(v). Which is the nearest to -0.2? (a) i (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1590645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 36*t + 19*t)*(-t**2 - t + t + (2*t - t + t)*(1 - 2*t - 1) + 2*t**2 - 3*t + 3*t + 1 + t**2 - 1 + t**2 + 3*t - 3*t).\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8480, -34267, -77212, -137315, -214576, -308995?\n\"Answer: -8579*h**2 - 50*h + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a8 + 36?\nAnswer: 6de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 6*j**2 + j - 2. What is the hundreds digit of b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15238471?\nAnswer: 61, 249811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -770 times 3\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 = -5*f + 3, -2*z + 1 = -f. Let j(s) = 64*s. Let g(c) = 21*c. Suppose 0 = w - 0 + 5. Let v(h) = w*j(h) + 16*g(h). Determine v(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 4\/7 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 10. Suppose -10*x + 5 = -c - 6*x, 5*x + 5 = -c. Determine q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyysyszzzsssyssys. Give prob of sequence syzy.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*j = 1070 - 14 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1402 and 0.096.\nAnswer: -134.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (750 - 751)*((-38)\/26 + 1).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from ogggxxgx.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -151, -206, -279, -376, -503, -666?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m**2 + m - 1. What is v(-2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5 + 8 = -3*s, -o + 5 = s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13310 (base 5) in base 10?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 1. Suppose -k*z = -7 - 2. Solve 0*f + 3*f = -z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17678 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8308954*c + 11489453?\nAnswer: 8308954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 209754954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a + 1272 + 1318 = 0 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17658742247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 35. Is x >= -2.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -28 + 3\/2*w**3 + 0*w - 9\/10*w**5 - 15\/8*w**2 + 1\/8*w**6 + 3\/4*w**4. Suppose t(z) = 0. Calculate z.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b - 7. Let f be w(1). Let c(r) = r**2 - 2*r. Let i be c(f). Sort i, 9, 0 in increasing order.\nAnswer: 0, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + 188*3\/72. Are -33 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80115438 is divided by 368.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.5934464 months?\nAnswer: 0.01327872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2. Suppose 2*u = -0*u - 6. Let k = u - -3. Let d be (-7)\/(-21)*(-3 + k). What is i(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 13*y - 24 - 3*y - 3*y - 5*y.\nAnswer: 2*y - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*f = 162, 5*p - 5*f = -7*f - 142. Let m be ((-55)\/p - 2) + 75\/18. Solve 4*a + 15 = -5*z, 4*a + 21 = -3*z + m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 901a2a (base 14) to base 12\nAnswer: 1757ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 7. Let i be w(-7). Let z(c) = -2*c + c + i*c. Let p(s) be the third derivative of -s**4\/8 - 4*s**2. Calculate z(p(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7655, -7589, -7523, -7457?\n\"Answer: 66*c - 7721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u. Let k(b) = -102*b. Determine k(d(a)).\nAnswer: -408*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 1373170?\nAnswer: 1373170.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 4, b: 2, q: 1, r: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2. Suppose 6 = -4*t + 5*w, 3*t - 3*w = t - 4. Calculate d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (4 + (sqrt(75) + sqrt(75)*-1 - sqrt(75)))) + sqrt(75))**2.\nAnswer: -120*sqrt(3) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -s + 5, 14*s - 10*s - 4*y - 4 = 0. Determine i so that 80*i + 29*i**s + 39*i**2 - 30 + 22 + 2*i**4 + 32*i**3 + 16*i**2 + 34 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/((-148)\/(-185))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -1\/9 (c) -287 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d + 127. Give c(-34).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -28947 = -28951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427936?\nAnswer: 2, 43, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-2)*(33 + 5200\/(-150)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (2 + 1 + -2). Does 22 divide 3 + 2*(-31)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8278657 - 8318701 = 426*h for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124240153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -58*s**4\/3 + 2896*s**3\/3 + 3781394*s**2\/3 + 1346336*s + 86856 = 0.\nAnswer: -231, -1, -2\/29, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 19*x + 30. Let -116*h**2 + 112*h**2 + h**3 - 3*h**3 + x*h = 0. What is h?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1610 and -32\/105.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 650\/(-234) + (-4)\/18. Let u(k) = -236*k**3 + 3*k**2 - 2*k - 2. Is u(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 176 + 1\/2*m**2 + 0*m. Let h(o) = 13*o**2. Calculate b(h(i)).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31739924994 from -1.9.\nAnswer: -31739924995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - k - 4*k + 2*k + 0*k - k + (-1 + 0 - 1)*(2 + k - 2) + 0*k + 4*k - 2*k - k - 2*k + 6*k - 1 + (7*k - k - 4*k)*(2 - 3 - 1).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 10:35 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhhuhghhuluhglhh. What is prob of sequence hglg?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 188?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -207\/2 (b) 5 (c) -11 (d) -2 (e) -1 (f) 2\/5 (g) -0.186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802211 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 - -118. Let k(r) = r**3 - 7*r**2 + 16*r - 3. Let n be k(v). Solve 0 = -2*x - n*x - 44 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*j - 4*d, -j = -3*d + 15. Let c be ((-2212)\/(-395))\/((-2)\/5). Put -5, 3, j, c in increasing order.\nAnswer: c, -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666228987.\nAnswer: 3, 74025443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 318\/(-8). Suppose v + 8 = -3*h. Calculate the common denominator of ((-94)\/h)\/(0 + 2) and 51\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 864, -2\/7, -0.024, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjs when three letters picked without replacement from jksjjjjskkjj?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73463.61g to micrograms.\nAnswer: 73463610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2.8. Let y = -0.3 + n. Let l = -12 - -11.7. What is the nearest to -2 in l, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 3}. What is prob of picking 2 e and 1 p?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15185\/7 - -2169. Which is the nearest to 2\/9? (a) 0.1 (b) z (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -57. Let w = -1.14 - -0.84. Put -2\/13, 0.3, c, w in decreasing order.\nAnswer: 0.3, -2\/13, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.24 - 1.04. Let y be 3\/(-2)*40\/105. Which is the nearest to 1? (a) y (b) j (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*y + 5, 2*x - 4*y = -14. Let b = x + 7. Put -2, -3, b in increasing order.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-20))\/((-2)\/(-5))*(-380)\/114. Solve z*v - 10 = -5*l, -4*l + 7*l - 4*v = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(0 + sqrt(72))*-3 - (-3*(sqrt(72) + -2)*1 + -1))**2.\nAnswer: 3060*sqrt(2) + 187297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13 = -3*f + 2*a, 20 = 5*a. Suppose 3*q - 5*r = -f*r - 5, -r + 15 = -4*q. What is the smallest value in 0.1, 5, 0.07, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2038 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66276 or 66279?\nAnswer: 66279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53844 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - f + 1)*(-f + 6*f - 8*f + (-f + 0 + 0)*(-1 - 2 + 5)) to the form h*f**2 + q + w*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -95 + 7?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10 - 8*n**2 - n + 7*n - 8*n**2. Let g(b) = 5*b**2 - 2*b + 3. Let d(y) = 10*g(y) + 3*h(y). What is the second derivative of d(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) + (1 - (-1393)\/69). Let n = v - -10\/69. Calculate the common denominator of 42 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 230200?\nAnswer: -230200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + n - 54 = 0, 114 = -2*f - n + 6*n. Let m = -34 - f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 210252402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42017, 168065, 378145, 672257, 1050401?\n\"Answer: 42016*n**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 8 + 7 + 22 + 25 - 6*r in the form w + n*r and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.25597t?\nAnswer: 6255970000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*p = -15, -25 = -5*h + 4*h + 4*p. Let i = -3 + h. Let g(d) = 3*d**3 - 4*d**2 + 2*d + 2. Is g(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/10 (b) -3\/2 (c) 217 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac8a (base 16) to base 10.\nAnswer: -44170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppppnppppnpppnpnp?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2327*d - 2324*d + 12. Let i(w) = 3*w**3 + 3*w**2 + 2*w + 1. Let p be i(-1). Put 8, d, p, 5 in descending order.\nAnswer: 8, 5, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3 + 1, r - 4*t = 75. Let f be (-5)\/(-15) - (-416)\/(-6). Let m = f + r. Calculate the remainder when 26 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - ((-6)\/3)\/((-92)\/690)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 + -76. Suppose 46*d - 41*d - 15 = i. Suppose o - 27 = d. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72 + -ab65?\nAnswer: -abd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, -102, -183, -286, -417, -582, -787, -1038?\n\"Answer: -j**3 - 2*j**2 - 52*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c + 1. Let w be a(-2). Let i = -17 + w. Let l(x) = x**3 - 4*x**2 + 3*x - 5. What is the remainder when i is divided by l(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5973*a + 32 = -5971*a. Solve -a*s + 20*s = 5*c + 10, s = 5*c - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1188*h - 678. Calculate the smallest common multiple of m(-1) and 33.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 3, t: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 107, 231, 365, 515, 687, 887?\n\"Answer: h**3 - h**2 + 120*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18264, 72167, 161708, 286887, 447704, 644159?\n\"Answer: 17819*g**2 + 446*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y**5 - 87\/40*y**6 + 0*y**3 - 17\/4*y**4 - 232*y**2 + 0*y + 0. Find the second derivative of h(i) wrt i.\nAnswer: -1566*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 229d84 + -2?\nAnswer: 229d82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11209869 divided by 6567?\nAnswer: 1707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260146 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**3. Let d be w(-1). Calculate the greatest common divisor of d and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/24 + j**3\/6 + 5*j**2. Let z(r) be the second derivative of -r**2 + 6*r. Calculate -2*v(g) - z(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -15*n**3\/2 + 2581*n**2 + 10096*n - 1392 = 0.\nAnswer: -4, 2\/15, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7292?\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*v - 217*v + 628*v - 278*v - 4212 = 0 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-9) - 40\/(-18). Let b(q) = -2*q**2 - 2 + p - 2*q. Let g be b(-2). Sort -0.5, -2, g in ascending order.\nAnswer: g, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 13*a - 4 - 3*a - 3*a - 5*a. Let s = 21 - 3. Let z = 13 - s. Let b(c) = -2*c + 5. What is z*b(d) - 6*h(d)?\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -3\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2954330871+1\nAnswer: 0.7045669129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1321.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 39 = 10*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f. Let d be (2\/6)\/(-192 + 203 - (-196)\/(-18)). Let z(g) be the second derivative of 0*g**2 + 0 - 7\/6*g**d - 4*g. Give z(c(y)).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5\/2 - 5427*p**4 - 9849867*p**3\/2 - 29251746*p**2 + 93086658*p + 117418896 = 0 for p.\nAnswer: -1806, -8, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108785663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 15444 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60, 121, 184, 249, 316?\n\"Answer: t**2 + 58*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g + s, -3*s = -12 + 27. Suppose g*j + 3 + 2 = -5*m, -j = -m + 7. What is the remainder when 1 + -2 - (-8)\/1 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*i - 31 + 11 = 0, -5*k + i = -5. Suppose 4*m = 2*t - 726, k = -2*m - m + 3*t - 537. What is m rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*u**2 - 3*u + 9 = 0. What is u?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15964*j**3 - 26490.\nAnswer: 47892*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 5*z. Let p(q) be the second derivative of 4*q**3\/3 - 50*q**2 + 53*q + 2. Let w be p(13). Let s(r) = r**2 + 4*r. Give w*k(i) - 5*s(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 452.\nAnswer: -1, -0.2, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/14 and -37\/148752.\nAnswer: 1041264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -82. Let s(a) = 13*a**3 + 2*a**2 - 2*a + 1. Suppose -2*y + 0 = -2. Let k be s(y). Calculate the highest common divisor of o and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4440 by 3.\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:37 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880540.\nAnswer: 2, 5, 44027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 2*n**2 - 2*n**2)*(1 - 1 - 2*n) + 2*n**3 + 5*n**3 - 3*n**3 + 2*n**2 - 2 + 2*n**3 - 2*n**2.\nAnswer: 4*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(325) + -1 + -4 + sqrt(325) + sqrt(325))**2 + (3*(3 + sqrt(325)) - (-2 + (-1 + sqrt(325))**2)).\nAnswer: -1775*sqrt(13) + 17835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-4 + -9 + (31 + -5 - 8))) + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -284*c*f + 9*c + 3 wrt f.\nAnswer: -284*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/175650 and -41\/75?\nAnswer: 175650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by 1515\nAnswer: -43\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/11)\/((-260)\/286).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**4 + 5*h**2 + 4*h. Let l(a) = -a**4 + 6*a**2 + 5*a. Let d(m) = -2*l(m) + 3*u(m). What is x in d(x) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t**5\/4 - 667*t**4\/4 + 1333*t**3\/2 - 671*t**2 - 206*t + 72 = 0. Calculate t.\nAnswer: -2\/5, 2\/9, 2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210 - ((-2)\/(-2) + -5).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -131 - (290 - 306).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -25, -57, -107, -181, -285, -425?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((((l**(-8)*l)\/l)\/l)\/l))\/(l*l**(-5))*(l**2*l)**(-3\/7) assuming l is positive.\nAnswer: l**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 4. Let y be g(0). What is the nearest to 3 in y, -1\/6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 542*v**3\/3 + 9*v - 40. Let n(k) = -k**2. What is n(p(z))?\nAnswer: -1175056*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 27*z - 56 = -15*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2044.05 + -2090. Let v = -47 - m. Let b = -1 - v. Round b to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 30 = -74. Solve 3*v + o = 4*b, 0*v = -5*v - 4*b + 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 22*j**2 + 21*j + 3. Let g be t(21). Let x(u) = -u**3 - u**2 + 3*u + 3. Let w be x(-2). Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -6698809?\nAnswer: -6\/6698809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/9, 2, -4, 1595, 0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-171)\/(-2))\/(9\/12). Let q = -1605\/14 + r. Let i = 159\/182 + q. Calculate the common denominator of i and -10\/11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1296*d + 652*d + 649*d. Let j(y) = 7*y + 31. What is m(j(k))?\nAnswer: 35*k + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (104\/(-36) - -3)*1231. Let v = z - 137. Which is the second smallest value? (a) 4 (b) v (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4 + 1\/4*c + 3\/4*c**2 - 1\/4*c**3 - 1\/2*c**4 = 0. What is c?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54036820 is divided by 660?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2 - 12057*z + 12058 = 0.\nAnswer: -12058, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-2))\/((-48)\/24))\/(-19).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -21228665 at most as big as 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*o**2 - b*p - 2*o**2*p**2 + 24*o*p**2 + 4476 wrt p.\nAnswer: -b - 4*o**2*p + 48*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9140021?\nAnswer: 11, 830911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -25. Let q = 12 - j. Let p = 3 + q. What is the second biggest value in 5, p, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (146*y**3 - 211*y**3 - 73*y**3)*(-4 + 1 + 1) to a*y + s + p*y**3 + x*y**2 and give p.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m - 3. Let q(k) be the first derivative of 0*k - 3\/2*k**2 - 3. What is p(q(y))?\nAnswer: 18*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)\/(l*(l**(8\/7)*l*l*l)\/l))\/(l*l**(-7\/5)*l*l**9) assuming l is positive.\nAnswer: l**(-461\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/11 - 234*d**4\/11 + 8950*d**3 + 14468450*d**2\/11 + 137190000*d\/11 + 336685000\/11 = 0. What is d?\nAnswer: -170, -5, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -88. Suppose h*r = 11*r - 12. Suppose 28*p**2 - 44*p**4 + 8*p**r + 16*p**4 - 8*p + 0*p**3 = 0. Calculate p.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 14*t - q + 58, 4*t = -3*q - 54. Let x(b) = 2*b**2 + 19*b + 28. What is the units digit of x(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47517991 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 892*l**3*n**3 + 16*l**3*n - 3*l**3 + 4*l**2*n**3 + 2*n**2 + 2*n wrt n?\nAnswer: 5352*l**3*n + 24*l**2*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -19*u + 109. Calculate n(10).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3 + 2, -4*j = -3*i + 10. Suppose f + i = -3. Let c(y) = y**3 + 8*y**2 + y + 2. Let l be c(f). Calculate the greatest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143873544 to the power of 1\/3, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1020*d**2 - 249*d - 495. Give c(-2).\nAnswer: -4077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -234637\/235 < -997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 13*m**2 - 25*m + 3. Let z = 339 + -351. What are the prime factors of t(z)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/10336 and 3\/21343840.\nAnswer: 21343840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554420 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**5\/g*g))\/g**(2\/7))\/(g*(g\/(g*g**(2\/5)\/g))\/g)**(-1\/55)*(g*g\/(g*g*g**(2\/5))*g*g*g**(2\/15))\/(((g*g**(4\/3))\/g)\/g*g**2) assuming g is positive.\nAnswer: g**(-9384\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/25000 and 113\/1106250.\nAnswer: 4425000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/2134 and -21\/66154?\nAnswer: 66154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 345?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1439247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3068 and 4719?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-40)*3\/((-9)\/(-172)). Suppose 97377 = -83*f + h*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 5*u**2 + 2*u + 2. Let f be y(3). Let t = f - -15. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 2. Let i be v(-7). Suppose 0 = -3*j + 13 + i. Let m = j + 6. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/10 + 19\/((-570)\/(-8568)).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*h. Let w = 4.6 - -1.4. Let l = w - 4. Which is the third biggest value? (a) l (b) h (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -323*v + 1. Let l(q) = 22*q. Calculate u(l(t)).\nAnswer: -7106*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4.16. Let k = -0.4 - c. What is k rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39702 + 1786669\/45. Let v be (-14252)\/(-41184) + 2*(-3)\/48. Let r = v - -5\/234. Find the common denominator of r and y.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5\/7, 2 in descending order.\nAnswer: 2, 5\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 + 3.3. Sort o, 3, 5\/4, 2.2 in increasing order.\nAnswer: o, 5\/4, 2.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(2\/(-8)*-1). Suppose -2*b - 2 = q, b - 2*b - 4*q = a. Let o(m) = m**3 - m**2 + m + 10. Determine o(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -380*t + 640*t**2 + 97 + 65*t**3 - 426*t**3 + 30*t**4 + 45*t**5 - 17 - 54*t**3 = 0. What is t?\nAnswer: -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 19*q**3 - 2*q**2 + q**3.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*o + 91*o - 5 - 3 - 11*o**2 - 19*o**2.\nAnswer: -30*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.03 + 0.03. Let n = 11\/60 - -1\/60. Which is the biggest value? (a) 3 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.16. What is the closest to j in -0.3, 1\/4, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340587 plus 0.1287722?\nAnswer: 340587.1287722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -195, 1\/3, 11, 6, -4\/5, 3\/17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745367 is divided by 248453?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 309565.95 to the nearest 10.\nAnswer: 309570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 divided by -3146980?\nAnswer: 191\/3146980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4830 divided by 35?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/((-2208)\/240))\/((-2)\/8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 16*g**2 + 2*g - 2. Let n(x) = -3*x**2 + x - 1. Let v(f) = -2*a(f) + 4*n(f). Let d(y) = 31*y - 2. What is d(v(j))?\nAnswer: -1364*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202884 divided by -1.\nAnswer: 202884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46085737 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*d = 23, 9 = t - 11*d + 10*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 21 + 21)*((-2 + 1 + 2)*(-2 + 5 - 5) + (4 + 0 + 0)*(-3 + 1 - 1)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + 8*j - 26*j)*(0*j**2 + 3*j**2 + j - j**2).\nAnswer: -10*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-147)\/14))\/((-38)\/171)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + 33535007300.\nAnswer: 33535007342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + k = 90, -n - 2*k + 28 = 1. Calculate the remainder when 31 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 73*v**2 + v**3 - 3 - 73*v**2 - 4*v. Let s be t(-2). Let u(z) = z**3 + 3*z**2 - 3*z + 1. Is 6 a factor of u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(66)*-2)\/sqrt(6) + -2 + (sqrt(1100) - (-3*sqrt(1100))**2) + 4.\nAnswer: -9899 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a**3 - 2*a**2 - 2*a. Let u(q) = 17*q**3 - 4*q**2 - 4*q. Let n(h) = 11*i(h) - 6*u(h). Let f(z) = -3*z**3 + 3*z**2 + 3*z. Calculate 2*f(w) - 3*n(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 32\/(-12))*-6. Solve q = u + 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 271158789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -37*u**3 - 2824. Let h(y) = 5*y + 5. What is d(h(k))?\nAnswer: -2775*k**2 - 5550*k - 2775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2783272 and -39\/2.\nAnswer: 2783272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -3, -0.5, 0.3, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times -13.6621?\nAnswer: -24.59178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1048 divided by -4\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -950 (base 14) in base 12?\nAnswer: -108a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1079 = 3685. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*j - 28254, 5*j + 70690 = 5*y - 4*y. Let h = -31363 - 52774. Let d = h - j. Round d to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 26*n + 122. Suppose -2*g - 5*q + 37 = 0, 2*g - 7 = -5*q + 6*q. Let a be o(g). Put -21, a, 1, 0 in ascending order.\nAnswer: -21, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 398402\/41 or 9718?\nAnswer: 398402\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*k - 55 = -242*k. Suppose 1113 = k*d + 2*m, 5*m + 1010 - 146 = 4*d. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84)*-2 + 5*sqrt(84)*2)\/(sqrt(12) + -3*-1*sqrt(12) - -4*(sqrt(12) + sqrt(192))))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wak when three letters picked without replacement from {k: 8, f: 2, w: 4, a: 5}?\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8068120 and -87\/2017030.\nAnswer: 8068120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/9, -3\/4, 0.1 in decreasing order.\nAnswer: 0.1, 0, -2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -4*d + 71, 3*d + i - 245076 = -245019 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-18\/11)*a)**(-12\/5))**(-36) assuming a is positive.\nAnswer: a**(-3024\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-10))\/((-46)\/(-2) - 118803\/5174)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1423 - 13463 - 6*u - u + 3*u.\nAnswer: -4*u - 14886","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -6. Suppose -4*d - 3 = y, 0 = -5*f - d + 19. Find the second derivative of -8*v**4 + 4*v**4 - 2*v**4 + f*v wrt v.\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 + 33*j - 127. Let s(b) = -6*b**2 - 33*b + 127. Let y(w) = -6*s(w) - 7*t(w). Is y(37) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012528984 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Suppose -53 = -q*y - 13. Calculate the lowest common multiple of 14 and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4955 or 5128?\nAnswer: 4955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, w: 7}. What is prob of picking 3 q?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + 0 + -19 + 5 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -5 (c) 2 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + 0.22. Round j to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 10, v: 3, q: 2}. Give prob of picking 1 i and 2 q.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 10, -239, 0.4, 30, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + w**4 - 2*w**4 + w**4 + 0*w**4 + w**4 + (-w - w + w)*(-w + w - 2*w**3) + 4*w**2 + 53*w**4 - 40*w**2 - 42*w**4.\nAnswer: 16*w**4 - 36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852 = 32*j + 308. Suppose 0 = l - 46 - 55. Calculate the remainder when l is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**3 - 5*y**3 + 15*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 3*l - 168 + 178, 4*l = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 7089513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(605) + sqrt(605))*1 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.38? (a) -1\/2 (b) -0.3 (c) -0.4 (d) 2\/19 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or -2.17?\nAnswer: -2.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**3\/6 + 4*t**2 - 2*t + 111. Let j(d) = -5*d**2. What is i(j(l))?\nAnswer: -5*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4\/17 (c) -3\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3153355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 5, -7, 0, 3 in ascending order.\nAnswer: -7, -3, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 2, o: 2, r: 1, w: 1}. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/6*3)\/((85\/((-3910)\/644))\/(-14)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -205485964 from 0.5.\nAnswer: 205485964.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6858864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2 + 15*a - 12 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*5*(0 - 1). Let i be n*(-3)\/(-3) + -3. Solve 4 + i = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozozozzkookzzk. What is prob of sequence okkz?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -4*g - 3*g. Let a(m) = 6*m**2 - m - 2. Calculate the remainder when a(-3) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61808.\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -t - 29, 2*j - 5*t - 25 = -j. Let g(q) = q**3 - 25*q**2 + 3*q - 57. What is the remainder when g(25) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apaagiggigiga. What is prob of sequence gg?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 8 - 6 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = -6*j - 112. Let k = 722\/7 + j. Factor k*x**2 - 3\/7*x + 3\/7*x**3 - 1\/7.\nAnswer: (x - 1)*(x + 1)*(3*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/(21\/1890). Round x to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*s - 1 + 73*s + 1.\nAnswer: -215*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 4. Suppose 20 = 3*j + j. Let v be t(j). Let d be (9\/12)\/(v\/(-4)). Sort d, 1, 3 in descending order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*w**4 - 16*w**3 - 52*w**2 + 16*w.\nAnswer: w*(w - 4)*(w + 2)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(98) + sqrt(98) + (sqrt(98) + sqrt(98) + 0)*-2 + sqrt(98) + sqrt(98) + 0 + (2*sqrt(98) - sqrt(98))))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*p + 3)*(p**2 + 2*p**2 - 4*p**2) - 5 - 6*p**3 + 5 + 0*p + 0*p - 2*p**3 + (0 - p + 0)*(p**2 - p**2 + p**2) + 0*p**3 - p**3 + 3*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -1, 5, -14 in descending order.\nAnswer: 5, -1, -14, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.307 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11399761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.03, -42.\nAnswer: -42, -1\/7, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 2*q**2 - 52 + 52 - 9*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 22 - 42 + 13 + y. Let d(m) = 1. Determine 5*d(k) + s(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-29)\/((i*i**(-4\/5))\/i*i) assuming i is positive.\nAnswer: i**(-146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**7\/210 + z**6\/60 + z**5\/60 - z**4\/12 - 5*z**2 - 6. Let m(b) be the second derivative of j(b). Factor m(y).\nAnswer: -y*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-958\nAnswer: 383.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 142032 divided by 142032\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23041 (base 8) to base 4.\nAnswer: -2120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*j + 66*j - 11*j - 4188)*(1 + 4 - 4).\nAnswer: -2*j - 4188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 82 + 26. Let x = -47 + f. Let q = x - -25. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 2*b**2 - 4*b. Let y(c) = -2*c**3 + c**2 + 5*c. Let o(q) = 5*i(q) + 4*y(q). Find the third derivative of o(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76164429*w**3 - 2*w**2 + 3594188 wrt w.\nAnswer: -456986574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*n - 242804 = -15*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 949, 1878, 2819, 3778, 4761?\nAnswer: 5774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y**5\/5 + 7169*y**4\/5 + 319869*y**3 - 3017729*y**2\/5 + 1411207*y\/5 = 0. What is y?\nAnswer: -449, 0, 7\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3 + 19*i**2\/2 - 5*i. Let n be a(-4). Let x be n\/25 + 888\/15. What is the highest common factor of 295 and x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1017 + 1290. Calculate the highest common divisor of 78 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(832)*2 + 0.\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 2*j + 3. Let u(y) = -y**3 + 2*y**2 + 2*y + 1. Let x be u(-1). Suppose 3*q = g + x*q + 6, -4*g = 2*q + 30. What are the prime factors of m(g)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*-1)\/sqrt(10) - (sqrt(3)*4*-6)**2.\nAnswer: -1728 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 0.3 (c) -211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1453721640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 665\/(-228) + (-32)\/(-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.5, -277?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (5 - 9) - 22815\/(-1352)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 197892618?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -26*9\/(-5148)*(1*12)\/(-1)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let v(q) = 4*q - 4. Let x be v(2). Factor -4 + x + 3*g - f*g**2 + 6.\nAnswer: -3*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -39534 (c) -3 (d) -5 (e) -10 (f) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*q - 27, -18*c + 2*q = -19*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 + 2 = 5*z, -2*i = -2*z - 10. Let a = 21.18 - 21. Let q = -0.02 - a. Put 1\/3, q, i in descending order.\nAnswer: i, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -704, -1487, -2382, -3443, -4724?\n\"Answer: -9*n**3 - 2*n**2 - 714*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 2*w - 28, -95847448*q + 95847433*q - 3*w = -210 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 17*a + 11. Let l be c(15). Let r = -15 - l. Solve 0 = -3*h + 4*h - r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -0.2 in decreasing order.\nAnswer: 14, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*s + (-6*s + 0*s + 2*s)*(3 - 4 - 1) + (-s + 3*s - s)*(-4 + 5 + 1) + 10 - 10 + 6*s)*(0 - 1 + 0).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/4 + 33*a\/2 + 1089\/4 = 0.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59076900 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433034.4 decades to millennia.\nAnswer: 4330.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h**(-33)*h)\/h*h)\/(h**4*h) assuming h is positive.\nAnswer: h**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-340*d**2 - 1 - 97*d**2 - 349*d**2)*(0*d**2 - d**2 + 2*d**2).\nAnswer: -786*d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9aa9a (base 12) to base 16.\nAnswer: -291a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 702592086 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from hhhzzztzll?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/5456 and 61\/1240.\nAnswer: 27280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2. Let x(f) be the first derivative of -7\/2*f**2 + 5*f + 39. Determine k(x(i)).\nAnswer: -49*i**2 + 70*i - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Suppose 2*q - 4*b = 24, -16 = -5*q + 2*q + b. Let i(a) = -4*a. Determine q*i(v) - 9*d(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -659235250 by 250.\nAnswer: -2636941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -98.5?\nAnswer: -99.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -7eec?\nAnswer: -7ee7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16806?\nAnswer: 2, 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4945 = -75*h - 1077 + 931 + 676 for h.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, u: 2}. What is prob of sequence iiii?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -166085655169.\nAnswer: 166085655168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 44)\/(29\/(609\/42)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + s - 1. Let q be r(2). Let o = q + 205\/9. Let i = -75\/196 + -18\/49. Sort o, i, -0.06.\nAnswer: i, o, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2559*s**2 - 24495*s**2 - 457*s**2.\nAnswer: -22393*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -27 - t + 14 + 30. Let y be h(15). Solve -y*k - 1 = 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/5 - (-66)\/15. What is the biggest value in a, 0.1, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36*-2*60\/(-48). Solve -6*u = f - 78 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5210 and 559554.\nAnswer: 2797770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3188 = -5*i + 2*t, -1281 = 2*i - 0*i + 5*t. What is the common denominator of -18 and (-2)\/7 + i\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v**2 + v + 2. Let d be j(0). Suppose -5*o + k = 6*k - 115, d*k = 10. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from whwxwwwxx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 79563.1 rounded to the nearest one thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 8 + 4. Let s(h) = 6*h**2. Suppose 4*c = -0*k - 4*k + 16, -4*k = -4*c - 16. Let v(r) = r**2. Calculate k*v(t) + p*s(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 515512.\nAnswer: 2577560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -126, -5348 in increasing order.\nAnswer: -5348, -126, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4764 + 28188 = 1952*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 4*s + 59110. Suppose -3*x - 4*a = -s, 2709 = 2*x - 5*a - 1247. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 3 - 4*r**3 + 3*r**3 - r**4 - 4*r + 2 - r**2 to h*r**3 + z*r + w*r**2 + d + c*r**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 3*a**7\/14 + a**6\/10 + 6*a**3 + 3*a + 11. Find the second derivative of g(b) wrt b.\nAnswer: 180*b**3 + 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*c - 2*i, 17*i - 22*i + 20 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149040 = -63*s - 6660. Calculate the highest common factor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 11. Suppose 0 = -3*o - d*o + 30. What is the greatest common factor of 45 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98178.787 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = 2*v. Suppose 3*a + 22 = -2*t, a - 4 = 5*t - 0*t. Let m be (a\/10)\/(2\/(-10)). Solve -4*b + v = -l - m*b, -3*l = 4*b + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-7))\/(1*(-1)\/(-16)). Calculate the highest common divisor of 56 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8697*j - 1451796 - 1787548 = -31123*j - 1108874 for j.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -27 - (8 + 1) - ((1 - -5) + -4)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, -1, 98, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 287*b - 6608. Give r(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2276.28 + -41885266.\nAnswer: -41887542.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/210 and 95\/2198.\nAnswer: 32970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -237411?\nAnswer: -11\/237411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*p - 6*p + p - 198*p as y*p + o and give y.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -6) + (-26 - -6 - -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/780 and -40\/241527.\nAnswer: 4830540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504049.\nAnswer: 7, 13, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.1291 and 1.8?\nAnswer: 4.9291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*c + 100, -c + 5*b - 10 - 10 = 0. Suppose -3*w = -4*w + 62. Let z = w + c. Calculate the highest common factor of z and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*v + 3522, -5*a + 3*v + 3980 = -4812. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-660)\/48)\/(2\/(-8*1)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19.22 (b) 2\/241 (c) 1\/2 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -3*d**2 - 3. Suppose 6*v - 2*v - 2 = -2*x, -4*v = -4. Calculate the smallest common multiple of 22 and y(x).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 + -335a?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 3*p + 16 + 21 + 15 - 50 in the form l + o*p + u*p**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -479 + 547. Suppose -p - u - 1330 = -v, 0 = 2*v + 5*p - 2831. Calculate the highest common divisor of v and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 6744234?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 u, 1 q, and 1 i when four letters picked without replacement from {b: 3, u: 3, e: 5, s: 1, q: 2, i: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = -g + 6, -5*g = -2*m + 10. Sort -22, 5, m, -5.\nAnswer: -22, -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 514667064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1208 and -2.87.\nAnswer: -3466.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-87)\/6)*2. Let w be 12\/15*o\/10. Is (-237)\/(w*3\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (72\/144)\/((-2)\/(-468)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -22 - (33 - 41)) + 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 34?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0*p**3 + 0*p**5 + 3\/10*p**6 + 8*p + 3*p**2 + 0 + 0*p**4. Differentiate d(k) wrt k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 28*x + 939. Give m(-34).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*i**2 - 94*i**2 - 299*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from qmqlmllmlmmmlmmlq?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d + 6562?\nAnswer: 6543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2668841, -1, -7.\nAnswer: -2668841, -7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/47 (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32 - (-35 + 1))\/(-2). Let l = 0.9 - 1. Suppose -1 = -2*m - 13. What is the closest to h in l, 2\/3, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 5*t + 5. Let x be b(4). Solve -3*z - 5*a = 15, 2*z + a - 4*a = x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*h**3 + 2 + (10*h - 8 + 8)*(4*h - 4*h - 9*h**2).\nAnswer: -88*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/9))**(-35)\/(v\/v**1)**(-1))**(-9) assuming v is positive.\nAnswer: v**385","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 14 - -9) + -3 + 1 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7609546 micrograms to milligrams.\nAnswer: 0.0007609546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76425 by -2.\nAnswer: -76425\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -49*d + 3442. Determine k(57).\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*c - 17887 = -2381 + 20178 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19574968, 19574967, 19574966?\nAnswer: 19574965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000108144 rounded to 6 decimal places?\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7840 divided by -196.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-17))\/((-9309)\/(-211004))\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 22083 = 22170. What is the greatest common factor of s and 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -328149, -328155, -328173, -328209, -328269, -328359, -328485, -328653?\n\"Answer: -z**3 + z - 328149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkvh when four letters picked without replacement from {b: 2, f: 6, m: 3, v: 6, h: 1, k: 2}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 8150157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1711 - 1662. Calculate the highest common factor of 2 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 36*c + 0*c**2 + 1\/50*c**5 - 2 + 1\/15*c**3 - 1\/15*c**4. What is t in a(t) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r = 4310 - 610. Suppose -125*p + 135*p = r. Solve 6*w - 5*o - p = w, 0 = 3*w + 5*o + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (244\/8 + (-14)\/(-2))\/((51\/(-6))\/17).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Let t(k) = k**2 - 12*k - 12. Let m(b) = -b**2 + 13*b + 12. Let v(o) = -3*m(o) - 4*t(o). Let l be v(9). Solve h - l = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2 - -5)\/(17 + -18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, m: 3, h: 1, l: 1}. What is prob of picking 1 m and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 41 + 27. Suppose -2 = 2*h + j, a = h + 3*j + 2*j. Let f be -1 - (h + (-4)\/6*-3). Solve -2*w = 5*b - f*w - 23, 0 = -2*w - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 - 6\/(-9)*-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/8 in 0.6, 0, -2\/3, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 + 1477*r**2 + 588118*r + 26447720 = 0. Calculate r.\nAnswer: -281, -52, 1810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.7 - -7. Suppose -33 - 15 = -12*y. Let i be 8\/(-28) + y\/28*-33. Which is the closest to n? (a) i (b) -0.5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddrdrrddddrrdd. Give prob of sequence rrd.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 + 9. What is x(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 22*b + 6. Let r be v(-24). Suppose s = u - r, -2*u = -4*s + 36 - 146. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 103, 107, 109, 109?\n\"Answer: -g**2 + 7*g + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 10:05 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 22 = -3*f, -2*r + 8 = -0*r + f. Suppose 3*d + d + 3*k = 1010, r*d + 3*k - 508 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*x - 11. Suppose x*d - 20 = -4*b - d, -11 = -3*b - d. Suppose b*w - 39 = 2*w. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 7:36 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*l, -6*z + 19 = -4*z + 5*l. Suppose z*v = 3*v + 1. Let i = 9 - v. Solve 2*q - 4*q = -i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*u + 7 = -430, 5*u - 366 = -4*m. What is the remainder when m is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 3523*v + 45693. Determine y(13).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26320*w - 2*w**2 - 2 - w**3 + 26320*w + 6*w**4 in the form d*w**3 + y*w**4 + f*w + u + i*w**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/10)\/4*-7*25\/(-245)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*p**2 + 3*p + 20 wrt p?\nAnswer: -14*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/17522 and -15\/245308.\nAnswer: 245308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570861737?\nAnswer: 41, 13923457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 9*y - 840. Let q = y - 83. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -41. Suppose -1 = -4*f + 7, 4*i - x*f + 12 = 0. Let c be ((-1)\/i)\/((-3)\/(-6))*64. What is the greatest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1786059 rounded to 3 decimal places?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -2, 4, 18 in ascending order.\nAnswer: -7, -2, -1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*l + 3*i, -l - 4*i = -i - 3. Let v be 5*((-32)\/l - -2). Which is the third biggest value? (a) -0.5 (b) v (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 56*n + 346. Let w be g(-6). Solve -5*j - 25 = -w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at most -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 1)\/(-12 + 252175\/21015)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049818.4 rounded to the nearest 1000?\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -168*l + 172*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*a - 85 - 51 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2954? (a) -1\/3 (b) -4 (c) 122\/11 (d) 5 (e) 3\/2 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/22 + 273\/(-143). Is (-68838)\/(-8) + n + (-9)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -23. Suppose -x*u + 19 + 17 = 0. Suppose 2 = u*a + 38. Sort 4, 1, a in decreasing order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45 - 166249895664.\nAnswer: -166249895664.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -224*x**4 - 3*x**2 + 52*x + 2. Let c(z) = 894*z**4 + 13*z**2 - 208*z - 9. Let a(g) = 2*c(g) + 9*h(g). What is the third derivative of a(p) wrt p?\nAnswer: -5472*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 625 - 3?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6 = -6*p. Which is smaller: p or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpp when three letters picked without replacement from {c: 3, b: 1, g: 8, p: 2, d: 1, e: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - -3 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, -157, -479, -1095, -2101, -3593?\n\"Answer: -16*w**3 - 3*w**2 - 3*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0663 in 0.1, -4, 0.5, 29, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-12) - 2\/(-8). Let b = -0.08 - -0.1. Let u = 0.02422 + 0.47578. What is the smallest value in d, u, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/15*72\/1728?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24408925613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1425235 and -0.3?\nAnswer: 427570.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 5 (c) 10 (d) -10519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p = -3. Let x(r) = r + 6. Let i be x(-6). Suppose y + p = i, h - y = 3*h - 5. Put h, 2, 1 in decreasing order.\nAnswer: h, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = x + 2*i + 9, -x - 17 = -3*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-6 + 6 - 6 - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 4\/3, -47, 3\/7, -1, -6 in descending order.\nAnswer: 4\/3, 3\/7, 0.1, 0, -1, -6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/2 + 2*i**3 + i**2 + 6*i + 1. Suppose -27*l + 11 = 200. Let q be v(l). What is q rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/4, 2, 0, -83, 2\/9?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 416dd0 - -5?\nAnswer: 416dd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*l + 270, -2*i + 4*l + 116 = -0*l. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 765*u**2 + 1200*u wrt u.\nAnswer: 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -129, -1\/4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -52355\nAnswer: 52355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 942 + -0.248\nAnswer: 941.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3257974?\nAnswer: 2, 1628987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 545 = -2*g, -4*g - 57 - 488 = -5*u. Let m = 263 + u. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 7*r**2 + r + 6. Let t(d) = -d**3 - 6*d**2 - 2*d - 5. Let i(c) = -2*b(c) - 3*t(c). Suppose -11*w - 48 = -15. Give i(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60337677 is divided by 1652?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**5 + 4*z**5 + z**5 + 3 - 2*z**5 - 3 + (1 - 1 + z**4)*(-2*z - 3*z + 3*z) + 3 - 4 + 2*z**5 - 4*z**5 + 7*z**4 + z**5 - 2*z**5 + 0*z**5.\nAnswer: -8*z**5 + 7*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2416 * 4.84\nAnswer: -11693.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 930437237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -67792751.9 and 4.\nAnswer: -67792747.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295029 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184 (base 15) to base 4.\nAnswer: 11131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13288*v - 4 - 12571*v - 3 as i + p*v and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 + -169.09. Let k = -0.91 + s. Sort k, 4, 1\/4, -1\/4 in decreasing order.\nAnswer: 4, 1\/4, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/28*3 - 197\/(-4). Let q = 55 - r. Solve h = -q*k + 2*k, 4*k + 3*h = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x. Let w(p) = -5*p. Let n(j) = -7*i(j) + 4*w(j). Let g(s) be the first derivative of -s**2\/2 - 9. What is 4*g(q) + 6*n(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v + 13*v + 0*v - 6*v. Let c(z) = -z**2. What is s(c(w))?\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (95\/(-5))\/(-1) + -4. Which is bigger: 14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*3)\/sqrt(2)*-4)**2 + -3.\nAnswer: 9069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 2*l + 1401. Let n(r) = r. Determine n(x(d)).\nAnswer: 2*d**2 + 2*d + 1401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 + -35. Suppose 505*i = 594*i + 3738. Let w = z + i. Solve 0*b = -2*b + w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*((sqrt(700)*2)**2 + -1) - 1*(0 + (sqrt(7) - (sqrt(14)\/sqrt(2) + 1))**2)*4.\nAnswer: -33592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-8 - (-18 + 12)) + -41) - 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 46.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1654 and 766629.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 9*b = 5*b. Suppose 23*i - 19*i - 16 = b. Solve 4*w - 3*l + 23 = 0, -w + 17 = -i*w + 2*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2*d - d + 3)*((1 - 3 + 0)*(-3*d - 2*d + 3*d) - 6 + 6 - 46*d) as q*d**2 + a + y*d and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 900959?\nAnswer: -270287.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 12. Give h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 10 - 5 - 3) + 36\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 31*c**2 - 8*c - 400. Determine l(-15).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2450) + sqrt(2450) - sqrt(50) - (sqrt(6050) + -3*sqrt(6050)))\/((sqrt(250) + 1*sqrt(250))*-5 + -1*sqrt(250)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*n + 221 = -5*o + 4*o + 193, 4*o = 2*n + 14 + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u**3 + 7*u**2 - 183*u + 24. Calculate t(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42244213 (base 5) to base 4.\nAnswer: -1112030202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 278.6. Which is greater: u or 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*a - 2*a**3 + 4*a**3 - 5*a**3 + 81*a as n*a**2 + b*a + k*a**3 + f and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 348.703142 + -348.7. What is z rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0 + (1 + 1 - 3)*(0 - 1 - 1))*(3*m**4 - m**4 - 3*m**4).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 9. Let n be m(5). Let s be (-416)\/n - (-2)\/7. Suppose 5*k - 4*k = 0. Solve -3*h + o + 4*o + s = k, -o = 4*h - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5 + 84*l**4 - 666*l**3 + 1092*l**2 - 507*l.\nAnswer: -3*l*(l - 13)**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2015215 and -2?\nAnswer: 4030430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -36. Solve -d*i - 3*i = -25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + i + 85, -s - 47*i + 50*i = -40. Solve -11*o = -23 - s for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 186?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 31. Let t be k(-10). Which is smaller: t or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/33)\/p**(7\/3))\/((p**5\/p)\/p*p\/(p*(p*(p**(3\/8)*p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-439\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 23*i - 18*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -15\/4 (c) 0.4 (d) 6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122873.999894206 + 122874. Round g to six dps.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*s = 644, -5*s + 413 - 453 = 0. Solve 25*o = -37*o - b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 70621a?\nAnswer: -706221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2, 5, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 125457311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21452796 divided by 1191822\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35406\/56 + 1\/(-4). Let t(d) = 632 - r + 2*d. Let n(x) = 3*x**2 - x. Give t(n(w)).\nAnswer: 6*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18994698 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -132080 to the nearest 1000.\nAnswer: -132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1592\/(-14) + (-6)\/21. What is the tens digit of v\/9*3\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12288 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f = 24*f + 10836. Suppose -4*v = 3*o - f, 328 = 2*v + 5*o - 568. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 526208 - 416383. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1273)\/(-335)*10\/(-6)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 + 5*b + 162 - b - 5*b.\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16306 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -71. Suppose -h*j - 7*j = 0. Solve j = -c + 3 + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*r + 222 - 115 = 90, -m = r - 7 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-90))\/(-4)*6\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -19268374?\nAnswer: 96341870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14834?\nAnswer: 2, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*t = -478*t + 237*t + 160. Solve -108 = 7*h + t*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20759785 - -1694.\nAnswer: -20758091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1719442582 to the nearest integer?\nAnswer: 41466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671 greater than or equal to 2908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/5, -0.4, -5, -3, 2\/5, 18.2.\nAnswer: -5, -21\/5, -3, -0.4, 2\/5, 18.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0*t + 1\/30*t**5 - 1\/180*t**6 + 1\/6*t**3 - 1\/12*t**4 + 0 - 4*t**2. Let u(b) be the first derivative of a(b). Factor u(g).\nAnswer: -2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -3*g**5\/20 + 7*g**4\/24 - 7*g**3\/6 - g**2 - 253*g + 1. Let o(c) = -5*c**2 + 4*c - 4. Give -7*o(l) + 4*y(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 73. Let a = 4\/55 + 6\/55. Factor 0 + 0*i - 4\/11*i**b + 2\/11*i**3 + a*i**5 + 0*i**2.\nAnswer: 2*i**3*(i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40639 - 20061. What is the thousands digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + b. Let j = 21 + -22. Determine u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -16255.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -6 (c) -1723107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Suppose 0 = 5*j + w - 18. Suppose -8 = j*t + 4, 2*t - 100 = -4*g. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**4\/12 - 5*n**3\/3 + 3*n**2 - 12*n. Let l be r(-10). Solve b = l*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/560*5\/1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -616?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42721 (base 8) in base 12?\nAnswer: -a415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*c**4 + 2*c**2*n**3 - 2*c*n**3 + 112 wrt c?\nAnswer: 1956*c**2 + 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 69 = 3*r - 78, 0 = 4*r + x - 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**4\/12 - 26*v. Let s(c) = -1179*c. Determine s(t(m)).\nAnswer: -1179*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v**(-4))**17\/(((v**0\/v)\/v)**(-1\/4)*(v\/v**(-2\/13)*v)\/v*v*v**3*v) assuming v is positive.\nAnswer: v**(1153\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -595, -1191, -1787?\n\"Answer: -596*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -684183273, -684183275, -684183277?\nAnswer: -684183279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102\/7 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*j**3*m - 4517*j**3*n + 146*j**2*m*n + 4*j**2 - 22*m + 27 wrt n.\nAnswer: -4517*j**3 + 146*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**3\/6 - 234*d. Let c(b) = -50*b**2. Calculate q(c(v)).\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 54 - 134 - 228)*(-t**2 + 0*t**2 + 4*t**2) in the form s + i*t + j*t**2 and give j.\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 777 divided by -111\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 4*b + 63 = 0, 0 = -n + 4*b - 114837 + 114828 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l - 5*k = -83, 2*l = -k + 71. Calculate the remainder when 114 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 2640681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*r + 117*r - 599*r + 118*r + 113*r + 108*r.\nAnswer: -57*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 3*d + 6. Let o(x) = -12*x**2 + 13*x - 26. Let u(j) = -26*k(j) - 6*o(j). Let w(b) = -16*b**2. Give u(w(n)).\nAnswer: -1536*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18104363*y**4 - 13279018*y wrt y.\nAnswer: -217252356*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*y**3 - 6 - 2*y**2 - 5 + 9 + 3 as k + p*y**3 + g*y**2 + z*y and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h - 3. Let g(f) = -5*f - 1. Let y(k) = -13*g(k) + 6*t(k). Let s be y(-5). Suppose 2*l - 16 = -2*c, c - 18 = -s*c - 3*l. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19541*t**2 - 39081*t**2 + 19536*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 10122 = -32*b. List the prime factors of b.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.24 - 0.24. Sort -5, u, 3\/4 in increasing order.\nAnswer: -5, u, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3\/5 (b) -5 (c) -1103 (d) 0.1 (e) 0.1632\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:24 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*v = -5*q + 28, 2 = -2*q + 2*v. Solve 3*r - q*o = -6, -3*r + 2*o = 5*o + 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -50. Calculate the remainder when 91 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*a - 101*a + 206*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lur. Give prob of sequence ur.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + 41*b + 13. Let c(z) = -2*z**2 - 20*z - 7. Let d(h) = -7*c(h) - 3*m(h). Let g be d(-8). Solve -g = 3*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -124460*q + 497825. Determine f(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 1470 = 1358 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -477\/22 + -130\/11. What is the common denominator of -145\/6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74291*s**2 + 33322*s - 2 wrt s.\nAnswer: -148582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -431*i**4 - 241 wrt i?\nAnswer: -1724*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4333\nAnswer: 1\/4333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8252598 centuries in years?\nAnswer: 82.52598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:29 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/8, 3 in decreasing order.\nAnswer: 3, 3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*x - 580*x = -84 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 28 = -c, -p + 3*c + 101533 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i + 3*t = 59*i - 21, 0 = i - 3*t - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 554*r - 231. Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (225\/2)\/15 - (-3 - -9). Put 88, d, 0.14 in ascending order.\nAnswer: 0.14, d, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(-33))\/((3\/54*30)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**2 - f + 2. Let z be q(2). Let g = -22 + z. Factor -8*y**3 + 10*y**2 + 4 + 3*y**5 - 18*y**g + 0*y**4 + 4*y + 4*y**4 + y**5.\nAnswer: 4*(y - 1)**2*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -6, 1553 in descending order.\nAnswer: 1553, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**24*v**(-3\/26))\/(v**(-26)\/(v*(v**(-1\/12)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(7769\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(130\/(-3)))\/(2415\/805)?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31188 is divided by 130?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9176919622 - -435.\nAnswer: -9176919187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 133 - 74)*(-5*u + 3*u + 3*u + 0*u + u + 0*u + (-1 + 1 - 2*u)*(-1 + 0 - 1) + 4 - 2*u - 4 + 0*u + 0*u + 2*u).\nAnswer: -1356*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(34\/7)*o**(-4)*o*(o**(-5)*o)\/(o**(4\/13)\/o) assuming o is positive.\nAnswer: o**(-41\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000527 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 7, u: 2, z: 2, n: 5, m: 4}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -5\/8 (c) -4 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 13*l + 64 = 0. Suppose -m = 7*m - l. Solve -20 = m*n, -5*k - 4*n - 15 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 7*w - 2 = 0. Let q = 27 + -25. Put w, 5, -5, q in decreasing order.\nAnswer: 5, q, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y + 45. What is the third derivative of 45 + 10*l**2 + 6*l**4 - y wrt l?\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*l**2 + 2829*l - 13*l**2 - 2838*l wrt l?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -10022222002011?\nAnswer: 10022222001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tty?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.91 - 3. Let i = c - -2.09. Let m = 8 - 11. What is the nearest to i in 2\/15, m, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -17c4?\nAnswer: -17c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33976843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*i = 40, 3*g + 18 + 9 = -3*i. Let b(w) be the third derivative of w**5\/60 - w**4\/12 - w**3 + 1001*w**2. Give b(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.32174 and 0.1.\nAnswer: 0.032174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 + 80*a - 7*a - 47)*(20*a + 37 - 37) to the form f + t*a**2 + c*a and give t.\nAnswer: 1460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 38742375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, 0.5, -4, -12.608?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003124864 to 6 dps.\nAnswer: 0.000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 1, 1\/15, 3, 2\/35, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 228*a*n**3 - a*n**2 - 4*a*n - 7*a + 16881 wrt n?\nAnswer: 684*a*n**2 - 2*a*n - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 3*m**2 + 5*m - 2. Let f = 134 - 131. Suppose -f*s - 105 = -5*w, -s - 4*s = w + 7. What is the remainder when v(4) is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.737069 - 6\nAnswer: -8.737069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 6, -3, -0.138, -1, -1531, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*m - 5*r - 96, 3*m = -91*r + 96*r - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6154091?\nAnswer: 1447, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7ca - -4?\nAnswer: -7c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*c**2*d*x - 2*c**2*d + 3050*c**2*x - c**2 - 1661*c*d*x + 8*c*x - 2*c + 28*d*x wrt c.\nAnswer: -48*d*x - 4*d + 6100*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = 7*w. Suppose w = t - 6*t + 1360. Calculate the highest common factor of t and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-160))\/(24\/(-220))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 362+-107\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*w - 4. Suppose -w*m + 2*m + 15 = 0, -5*o - 3*m = -19. Solve c + 6 = -o*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 29*w - 171. Let u be a(6). Let t(n) = -26*n**2 + 7*n. Let r(m) = 13*m**2 - 3*m. Give u*t(d) + 7*r(d).\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-2*f + 3*f - 3*f) - f + 2*f + 0*f + (5*f + 2*f - 5*f)*(-5 + 3 - 1).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689663?\nAnswer: 3, 311, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-2) - (-6)\/8*-4. Which is bigger: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 9. Let l(k) = k**3 - 6*k**2 + 4*k + 4. Let h be l(6). Let o = h + -18. Calculate the smallest common multiple of x and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1042 and 14.\nAnswer: 7294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23883.99ml in litres?\nAnswer: 23.88399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25742?\nAnswer: 2, 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.7 and 2.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + 3*(-4 + 0 + sqrt(832) - 2*sqrt(832)*-4))*-6)**2.\nAnswer: -3483648*sqrt(13) + 349473024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 25 (c) -24\/209 (d) -2\/11 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2319*j**3*z**2 - 88*j**2*z + j*z**2 - 14*j*z + 2*z**2 wrt j?\nAnswer: 13914*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 3*u - 37. Let l be 1\/5 - (-342)\/u. Let j(o) = -o**2 + 5*o - 4. Determine j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/25)\/((-1715)\/(-17150)). Find h such that -12\/5*h**2 - 2\/5 + p*h**3 - 2\/5*h**4 + 8\/5*h = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsh when three letters picked without replacement from hhhss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 566286.1 millennia?\nAnswer: 5662861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 11:44 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 13) + 3 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 175542245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4))\/sqrt(8) + -4.\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280127.\nAnswer: 2280127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2533\/10 - 253. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/12*9\/(-105)*42\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/5 + 54*i**3 + 3780*i**2 - 66150*i - 10418625 = 0.\nAnswer: -105, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7 + 1 = 0. Suppose 56 = j*w - w. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165115 = -3*q - 44512. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3\/10)\/x)**46)**(3\/10))**(9\/5) assuming x is positive.\nAnswer: x**(-8073\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5209.52cm to meters.\nAnswer: 52.0952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-9) - 0)\/((-26)\/195). Solve -4*m = -5*m + p*d + 27, 5*d = -m - 23 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53684609\/3 or 17894870?\nAnswer: 17894870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2. Let w be g(-1). Let x(p) be the third derivative of 0*p**3 + 0*p + p**2 + 0*p**4 + 0 + 1\/120*p**5 - 1\/240*p**w. Factor x(u).\nAnswer: -u**2*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = 9*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/39 + (-486)\/(-234). Let t(b) = b - 5. Let l(c) = 2*c**2 - 2*c + 1. Let h be l(2). Let w be t(h). Solve p - 2*z + 1 = 0, -z = -r*p - w*z + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2795 + -1745. Does 70 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004486285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7596076m?\nAnswer: 759607600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.08 + 0.08. Put 4, x, -1\/2 in increasing order.\nAnswer: x, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a factor of 310247146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3 = -12. Suppose 0 = -g*m + m + 8. Differentiate 1 + 0 + 0 - 2*k**m wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/60*(-244)\/(-6) and 70\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13928*443.\nAnswer: 6170104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/28*(14\/8 - 70\/(-40)). Let k = -0.6 - 0.1. Let x = k - 0.3. Which is the third biggest value? (a) g (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 7, t: 2, m: 1, f: 1, v: 1}. What is prob of sequence ua?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(4\/(-8)). Let z(v) = -v**2 + v + 1. Let x(i) = i**2 + 3*i. Let y be (6\/9)\/((-4)\/(-6)). Give f*z(b) + y*x(b).\nAnswer: 2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/232 and 2*1\/2 - (-1410)\/480.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76671.\nAnswer: 3, 7, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -10*t - 37. Let d be w(-4). Let b be -8*(42\/(-8))\/d. Are b and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*s + 230*g - 232*g, 5*g - 42 = -13*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -8, -2\/17747, 12?\nAnswer: -2\/17747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -175, -189, -203, -217?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1849 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58400*c - 6*c**3 + 29211*c + 13*c**3 + 29189*c.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30499, 30501, 30503?\n\"Answer: 2*l + 30497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12457754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g - 3*g - 13*g + 1 + 20*g. Let l(t) = 2*t - 2. Give 2*l(q) + 5*y(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5500)\/125*((-2)\/(-9) + (-1)\/(-36)). Which is the closest to -0.3? (a) m (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*i - 9946 = -9849, -78*z = -77*z - 2*i - 45 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 times 0.06?\nAnswer: 42.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let x = 58 + -54. Solve y = 4*v + x - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-4*a + 5*a - 5*a) - 128*a + 64*a - 25 + 62*a.\nAnswer: 2*a - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0) + 29\/29. Let q be u - (0 - -900 - -1). Round q to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/3 - 2*o**4 + 5*o**3\/3 + 8*o**2 - 12*o.\nAnswer: o*(o - 3)**2*(o - 2)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 560736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -50*z**3 + z**2 + 4*z + 2. Is q(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182396?\nAnswer: 2, 45599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1723, 3960, 6199, 8440, 10683, 12928?\nAnswer: 15175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 10*p + 15. Calculate the remainder when 28 is divided by i(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24631 - -42632. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**5 - 6399*f**4 - 308067*f**3 - 3580221*f**2 + 4536450*f + 7815000 = 0.\nAnswer: -2084, -25, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220210221 (base 3) to base 4.\nAnswer: 102311101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 4*b + 0*b)*(-2*b + 3*b + 2*b)*(-b + 6*b - 2*b) to the form o*b**3 + f*b**2 + t*b + a and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (0 + 113) - (-4 - 3).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4172 and 392.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/6289 - 584861\/25156. Calculate the common denominator of d and 24\/6013.\nAnswer: 24052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = a + 1254*t - 1253*t - 39, -a - 4*t + 142 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (2*sqrt(48)\/sqrt(6) + sqrt(8))) + (sqrt(8) - (sqrt(8) + -4*sqrt(8)))*-5)\/((sqrt(2304)*1 + sqrt(2304))\/(sqrt(108)\/(sqrt(24)\/sqrt(2)))).\nAnswer: -11*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 311, 618, 921, 1220, 1515?\n\"Answer: -2*m**2 + 313*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -133, 1\/10, 0.127, -1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-16))\/(225\/30 - 7). Factor 0 + 1\/2*l**3 - l - d*l**2.\nAnswer: l*(l - 2)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 3)*20\/40. Suppose 0*z + 5*z = -n*z. Does 9 divide (z - 332\/16)\/(3\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 1200 = -257*v + 414 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-2))\/((-18)\/6))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 14*z + 3. Let g be u(-14). Let c(d) = -6*d**2 - 76*d - 51. Let t be c(-12). Sort g, 6, t, 2 in decreasing order.\nAnswer: 6, g, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2586, 5139, 7682, 10209, 12714, 15191, 17634, 20037?\nAnswer: 22394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 - 899799862.38.\nAnswer: -899799836.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (106\/(-4))\/((-26)\/12). Let w = -2549\/286 + s. Find the common denominator of w and 13\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*b = -60, 0*h - 4*h - 3*b + 102 = 0. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**12*m\/m**(-6) assuming m is positive.\nAnswer: m**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/5 + (-72)\/(-20). What is the tens digit of (p - 0 - 4) + 326 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105.02087 - 2663791.\nAnswer: -2663685.97913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -246761502?\nAnswer: 246761475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(10)\/sqrt(5)*4 - (2*sqrt(18))\/sqrt(9)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 2295*v**2 - 339375*v - 16328125.\nAnswer: -5*(v + 125)**2*(v + 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2300?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, u: 14}. Give prob of sequence ggu.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 14*w + 70. Let s be g(5). Suppose -2*k + 640 = -o, k + s*o = 24*o + 323. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18.49004 and -72?\nAnswer: 90.49004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhmihilligmkigimi. Give prob of picking 1 i and 1 h.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*q - 183 - 857 - 985 = -450 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1\/13, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(15)\/(sqrt(3)*3)))\/((sqrt(1620)*-4 + sqrt(45))\/sqrt(5)).\nAnswer: -3*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 21, 2\/7, 4, 0.4 in descending order.\nAnswer: 21, 4, 0.4, 2\/7, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 301, 299, 297, 295, 293?\n\"Answer: -2*f + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*514\/(-1). Let k = -170 - h. Suppose x - 61 = -2*d, 0*d - 3*d - 3*x + k = 0. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 + z + 10. Let n be r(7). What is the tens digit of (-2)\/(-6) + n\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 105 = 36*z. Which is the nearest to -2\/3? (a) z (b) 3 (c) 8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21107\/11 - 4\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t - 2*t**3 + (5 - 5 - t)*(2*t**2 - 2*t + 3*t - 2*t).\nAnswer: -4*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 1. Let z(l) = 8*l - 3. Determine -2*p(q) + z(q).\nAnswer: 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 15) to base 9\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 60\/(-10) - -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103698431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -500 + 505. Suppose 0 = -10*f + 9*f + t. Solve 3*g + 2*s + 19 = 0, -f*s + 3 = -g + 25 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**5 - 5*l**5 + l**5)*(-2 - 3 + 6 + (2 - 3 - 2)*(-1 - 1 + 0)).\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l**2 - 4*l - 2. Let o be q(4). Suppose o = -w + 4*w. Let j = 63 + -24. Calculate the remainder when w is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1517328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.87 + 33. Let w = -0.07 - i. Which is the second biggest value? (a) -0.03 (b) 6\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 4, -6, 1\/5, -1.5, 5, 2.2 in descending order.\nAnswer: 96, 5, 4, 2.2, 1\/5, -1.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 366*s**2 - 326*s**2 - 1 - 380*s**3 + 1 + 379*s**3.\nAnswer: -s**2*(s - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -2*f**3\/3 - 146. Let v(z) = -116*z. Calculate y(v(k)).\nAnswer: -26912*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.293503 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 74 in ascending order.\nAnswer: -4, -1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.474 times 77?\nAnswer: -36.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1564 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30 - -112 - ((12 - (21 + -23)) + (1 - 1))\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.50249 weeks to milliseconds.\nAnswer: 26310305952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 2*z + z + 23, 2*z + 2 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 32. Calculate the smallest common multiple of h and ((-26)\/(-39))\/(2 + (-8)\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 38 + 122 = 0. Let k = w - 4. Let t be (-2)\/(2\/4 + -1). Calculate the highest common factor of t and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 40. Suppose -4*c - 4 - 1 = 5*m, -3*m - z = 4*c. Let j = -2 - -7. Solve -p = -3*l + 12, l = -m*l - j*p + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*16\/384*11*8.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -30. Which is the closest to 1? (a) -3 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -7239537.\nAnswer: 1\/804393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29.2, 2\/17, -2, 0.3, 0.25, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 16 - (-7 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1610 - -1609.99137. Round i to 4 decimal places.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30747 and 3774?\nAnswer: 1045398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhot when four letters picked without replacement from {h: 3, f: 3, t: 2, o: 3, d: 6}?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1551 from -361.\nAnswer: -1912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - (9 + -9). Let w = 230 - 7. Let c = w - 224.4. What is the biggest value in c, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d = 6. Put -1, -3, d in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, s: 2, z: 1, e: 4}. What is prob of sequence ez?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j - 5 + 1 + 4. Let v(k) = k**2 + 0*k**2 + k**2. Calculate l(v(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1609 + -856. Calculate the common denominator of ((-2)\/(-24))\/(3 + c\/(-250)) and 79\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 585 - 842. Let y = a + 257.00069. What is y rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -24*a**2 + 30 + 87*a**2 - 28*a**2 - 23 - 34*a**2. Let i(f) be the third derivative of -f**4\/12 - f**2. Determine i(j(t)).\nAnswer: -2*t**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 - -13)*2\/(-6). Let p(i) = -3*i**3 + i**2 - 1. Let s be p(-1). Solve -a - 4*a - s*l + 8 = u, -3 = -3*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -146, -292, -438, -584, -730?\n\"Answer: -146*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**6*l - 97*a**6 + a**3 + 4*a**2 - a*l + 7*l wrt a?\nAnswer: 360*a**3*l - 11640*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152) + -1)*-3 - (sqrt(1152) + (sqrt(1152)*-1 + sqrt(1152) - sqrt(1152))*-1))**2 + -5.\nAnswer: -720*sqrt(2) + 28804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*h + 21 = 57, 2*g + 4*h = 0. Suppose 5*a - g = 109. Suppose 24 = -3*r + 36. Calculate the remainder when a is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361886968?\nAnswer: 2, 13, 3301, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 8. Let y(g) = 2*g - 4. Let h(w) = -3*k(w) - 5*y(w). Let c(b) = b**2 - 11*b - 5. Let i be c(10). Let l be (4\/(-5))\/((-3)\/i). Determine h(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2868)\/(-42) + 10\/(-35). What are the prime factors of 12342\/d + (-1)\/(-2)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14828189*k**2 + 93 - 93 + 14828190*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -632 + 1018. Suppose 5*b = -o + r, b = -5*o + 2*o + 1102. Does o = 366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1186, -4266, -9420, -16660, -25998, -37446, -51016?\nAnswer: -66720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 60682806325181?\nAnswer: -60682806325186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 = -3*k, -3*k + 5*i + 8 + 17 = 0. Suppose -7*v = -3*v - 12. Which is the nearest to 0? (a) k (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(7)*-1.\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3 + q**3 + 4*q**5 - 8*q**4 + 2*q**3 = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136 + 354. Calculate the remainder when w is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -2129\/567 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4978 and -3.12.\nAnswer: 15531.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byy when three letters picked without replacement from byy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320372335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 546751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17*o**2 + o - 66. Let h(i) = -7*i**2 - i + 32. Determine 5*h(d) + 2*z(d).\nAnswer: -d**2 - 3*d + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (357\/(-34))\/((-15)\/10). Let b(t) = t + 8. Let j be b(-6). Are j and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.49 (c) -2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 44*h + 313. Let j be c(35). Let u(t) = 6*t + 4. Let f(a) = 6*a + 5. What is j*f(w) + 3*u(w)?\nAnswer: 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2228 divide 25764592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 18 = -2*c - 0, -2*w - 6 = 2*c. Let u be ((-11)\/(-1))\/(c - 0). What is the third derivative of -d**6 + 3*d**2 - 11*d + u*d wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/11 (b) 165 (c) 2 (d) -4\/5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*a**2 + 139*a**2 - 915*a**2 + 648*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 702675271.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -9)\/(4\/(-64)). Calculate the remainder when (-77568)\/p + 6\/(-10) is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 25*j**2 - 3*j + 128. Determine r(25).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*l - 3*l = 17, 3*y + 5*l = -21. Which is the third biggest value? (a) y (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/4 - 10*j**3\/3 + 11*j**2\/2 - 7*j - 49. Calculate a(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + 396 + -387?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**4*y**3 - 16863041*p**2*y**3 + 2*p*y**3 + 3566*p*y**2 + 2*p + 2*y**3 - 6*y**2 + 135 wrt p?\nAnswer: 60*p**2*y**3 - 33726082*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*j + 7 - 11 = 0, -5*q + 16 = j. Let c(a) = -30 + 9*a**2 + 36 + q*a**3 - 2*a**3. Calculate c(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*t)*(t + 3*t - 3*t) + 92 - 980*t - 2*t**2 + 134 - 224 to the form d + h*t**2 + f*t and give f.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 124980 divided by -24996\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 4*c**2 - 2. Let n be q(3). Let f be 2\/(2\/120*-3). Calculate the common denominator of -1\/9 and (-166)\/f + n\/(-28).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 9*h - 192. Suppose 5*l = -2*l + 52 + 18. What is p(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g**4 - g**4 + 0*g**4)*(6 - 6 - 7) + 2*g**4 + g**2 - g**2)*(21 - 5 + 0)*(g - 7*g - 2*g).\nAnswer: -1152*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62512.\nAnswer: 2, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2389 - -1036. Suppose c = -30*m + 13025. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/65837 - -4609889\/85522263. Find the common denominator of r and -137\/12.\nAnswer: 5196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192199?\nAnswer: 7, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 352931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (33\/((-1485)\/(-2556)))\/((-1)\/10). Let l be 20\/(-30) - x\/6. What is the closest to -1 in 1, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161\/(-84) + 4\/16.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 10, e: 2}. What is prob of picking 2 e and 1 b?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 37 (c) -2\/2325 (d) 2 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6019865 months in centuries?\nAnswer: 0.00133498875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 164361?\nAnswer: 986166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 - -63. Let o = -63 - q. Let v = o - -18.5. Which is the third smallest value? (a) 0.3 (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - b**2 - b + 1. Let r be i(1). Put 1, 0, r, -22 in ascending order.\nAnswer: -22, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 3:34 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1005684 and 7893450?\nAnswer: 678836700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 651312*k + 17588340.\nAnswer: -4*(k - 162855)*(k + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 4, k: 4}. Give prob of sequence sk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.35779 in 1\/2, 3\/4, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 296300\/79 or 0.1?\nAnswer: 296300\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:01 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 3753?\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/8*f**4 - 15\/8*f**2 + 0 + 3\/2*f**3 + 3\/4*f = 0. Calculate f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h + 4*h - 527 = 0. Suppose 55 = -h*u + 548. Suppose -1595 = -5*t - 4*o, o + 0*o = 0. Calculate the greatest common factor of u and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/22158 and -29\/17234.\nAnswer: 155106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15126 + -15122.9215. Let b = 777 - 780.01. Let a = t + b. Round a to 3 dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by -6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*w - 28 = 71*w - q, 5*q = 15. Suppose -r = -6*r + 15. What is the biggest value in w, -3\/7, -2\/7, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/12)\/(17\/(-578)). Solve -2*p - x = -13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 o when three letters picked without replacement from {r: 12, o: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*m + 87*m - m - m + 6*m - 4*m + (-2*m - 3*m + 3*m)*(2 - 1 + 1).\nAnswer: 121*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/104 + (-2)\/4. What is the nearest to f in 1\/7, 8, 1\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + t = 7, 38*d + 4*t - 22 = 40*d. Let q(v) = -98*v**3 - v**2. Is q(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 246. Suppose 0*n = -3*n - 408. Let o = n - b. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1446\/8)\/((-54)\/(-144)). Let t = u + -462. Solve t = 9*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8279 and -182?\nAnswer: 8461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 280201319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1293783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6369 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -21) + (2 - 17) - -8 - (2 + -73).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 1 + 39 = 4*v, -3*v = 3*b - 30. Suppose 6*r - 16 = 4*r. What is the lowest common multiple of v and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474792 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7334712 is divided by 27995.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/47 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-12)*2*11\/(-132)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 1. Suppose 5*g + 16 = -9. Suppose 14*o - 17*o + 84 = 0. What is the least common multiple of o and w(g)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**2 + i. Let d = -5 + 7. Suppose -b = d*b + 3. What are the prime factors of w(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -2812, 5 in decreasing order.\nAnswer: 5, -80, -2812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1803190 to the nearest ten thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/5, 1, -2\/4117 in ascending order.\nAnswer: -4, -2\/4117, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:28 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7308, -3.7, -3\/4 in descending order.\nAnswer: 7308, -3\/4, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 13. Let z(c) = 817776*c. Give o(z(h)).\nAnswer: 1635552*h - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**7\/3 + 5*n**4\/4 - 10*n + 12. Let j(q) be the first derivative of h(q). What is the third derivative of j(t) wrt t?\nAnswer: -840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1002100?\nAnswer: 1002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - 15. Let h be a(-5). Suppose 3*c = -3*k - 2 + 14, 2*k + 4 = h. Suppose -4*b - 10 = -2. Sort -1, c, b in decreasing order.\nAnswer: c, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 7*x**3\/4 + 1615*x**2\/4 + 28567*x\/2 - 4114 = 0.\nAnswer: -187, -44, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 1, b: 1, t: 3, o: 2, w: 3}. Give prob of picking 1 z and 1 t.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/3 - 24\/(6\/(-3)). Suppose -a = -3*o - 0*o + g, 3*o = -4*g. Suppose 0*n + 4*i + 128 = 3*n, 164 = 4*n - o*i. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m - 28*m + 19*m to the form o + g*m and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**3 + 4*y - 4. Let j(h) = 11*h**3 - h**2 + 8*h - 9. Give -9*a(l) + 4*j(l).\nAnswer: -l**3 - 4*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 + 130. Suppose 0 = 5*r - 2*r - 150. Calculate the remainder when r is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30005, -30006, -30007, -30008?\n\"Answer: -j - 30004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 113686.2354 rounded to the nearest 1000?\nAnswer: 114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/558308 - -10541413003\/38523252. Let f = -30\/23 + s. Let h = f - 275. Calculate the common denominator of -28\/5 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = -2*z + 1, 0 = -5*g - 3*z - 1. Which is the closest to g? (a) -3\/2 (b) 4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 621 - -790. Let j = u + -4289\/3. Calculate the common denominator of (3 + 0 - 152\/50)*2470\/(-114) and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220994687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/87 (b) 7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166673619.\nAnswer: 3, 7, 293957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 918975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 269623956199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17348 - 17322.099. Let c = u - 26. Round c to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -27008?\nAnswer: -27005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 4. Let s(o) = 7*o - 7. Give -6*s(x) + 11*u(x).\nAnswer: -9*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/6*57*71\/5396?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 21. Let g be z(5). What is the closest to 1 in -3, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*g - 22, 4*q + g - 2 = 12. Suppose -4*n = -2*n - 32. What is the greatest common divisor of n and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/23?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a4399a + 1?\nAnswer: 2a439a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -230, -20, 170, 334, 466, 560, 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12 - (-4 - (-1424)\/288)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*g + 4 + 5 = 0, -2*g = -b - 6. Suppose 3*h - 8*h = -3*k + 585, 3*k + 3*h - 561 = b. List the prime factors of k.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2231572*q**4 - 6805685?\nAnswer: 8926288*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2335, -2780, -3223, -3664?\n\"Answer: g**2 - 448*g - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l + 278. Let f be z(16). Calculate the highest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 + -447. Let k = 235 - z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -64, 149, 486?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(3*j**3 + j - j) + 1 - j**3 + 19*j**3 - 11*j**3.\nAnswer: 13*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v + 21*v - 34*v)*(-2 - 1 + 0)*(-14 + 22 - 15) + (-1 + 3 - 3)*(2*v - v - 3*v).\nAnswer: 44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnew when four letters picked without replacement from neneeneebnebneewewbe.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 108*d + 37*d - 126*d + 843 = 0, 5*w + 4*d + 39 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 20*w**2 - 2*w - 751222. Let l(x) = -4*x**2. Give p(l(k)).\nAnswer: 320*k**4 + 8*k**2 - 751222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = k - 26, 0*k + 8 = 4*k + 4*w. Is ((-4)\/(-6))\/(k\/387) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 21*x**2 + 18*x. Let f(s) = -3*s**3 - 84*s**2 - 72*s. Let t(i) = -2*f(i) - 9*y(i). Suppose t(n) = 0. Calculate n.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20463 < 20464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 18. Let f(s) = -s**3 - 5*s**2 + 3*s - 6. Let c(z) = 2*z**2 + 11*z - 5. Calculate the remainder when c(-8) is divided by f(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(432) - (sqrt(432) - (sqrt(432) - (sqrt(432) + (sqrt(432) - (sqrt(432) + sqrt(432)*2 - sqrt(432)))))))\/(sqrt(108)\/sqrt(3)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 65 = 4*b - b, -4*b = -4. Suppose 17 = -4*a - 47. Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-4))**(-2\/157) assuming t is positive.\nAnswer: t**(-10\/157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 7*g**2 + 7*g + 7. Let x be r(-6). Let b be 2\/(-8)*-15 - (-13)\/52. Suppose f - 13 = 5*i, x - b = 3*i + f. Sort 3, i, 1\/6 in decreasing order.\nAnswer: 3, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -200*b - 43 + 63*b + 84*b - 56 + 67*b. Calculate g(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 4) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 464 + -475. Which is bigger: -0.02 or h?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-80)*-4)\/(-4*1\/(-112))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 844 and 843544.\nAnswer: 177987784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 - 186*x**2 - 188*x - 77. Let w be m(63). Sort -3, w, 20, 0 in increasing order.\nAnswer: w, -3, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3)*(448\/((-126)\/(-9)))\/10\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32870 and 4240230.\nAnswer: 4240230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1238450 and 4930.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from nxkxkkxn.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + -12436.137855923.\nAnswer: -12436.067855923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*p - 4*p - 2, -14 = 2*r + 4*p. Suppose -173*j = -237*j - 384. Put -1, j, r in ascending order.\nAnswer: j, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2560, 0, -5, 192 in descending order.\nAnswer: 2560, 192, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {e: 4, b: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/22*(-84)\/5*(-73)\/(-146)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 4*r - 1. Let k be p(3). Let i be 0\/((0 - 3) + k). What are the prime factors of i - (-3 + 3) - -64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 - 2*m. Let y(g) = -27*g**2 + 9*g. Suppose 12*u + 23 = -85. Suppose 6*a - 12 = -24. Give a*y(p) + u*z(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-10 - -7 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 111*(2\/1 + -1). Let j = 185 - s. List the prime factors of j.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) -3\/8 (d) 0.3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5371 and 29\/5764.\nAnswer: 236324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29340 (base 15) to base 7\nAnswer: -1060614","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 8*n**2 - 2. Let h be o(4). Let q = -47 + 107. Let s = h - q. Is s equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 2\/9 (c) -2.5 (d) -0.1 (e) 6 (f) -2 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -45*t**2 + 2*t - 1\/210*t**7 + 0 + 1\/40*t**6 + 1\/20*t**5 - 7\/24*t**4 - t**3. What is l in g(l) = 0?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -30. Let o = -8 - k. Find the common denominator of o and -43\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w + 60 = -5*u, 0 = -3*w - 5*u + 80. Solve 8 - w = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/5 - p**4\/4 + 3*p**2\/2 - 10*p. Let b(i) = 23*i**3 + 17*i**2 - 17. Calculate 6*b(m) + 34*q(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + 3*a. Let l(t) = t**3 - 3*t**2 + 6*t - 5. Let o be l(4). Let v be 17\/(-5) + 14\/o. Let m(d) = -4*d**2 + 4*d + 1. Give v*i(y) + 2*m(y).\nAnswer: y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1 + -199950?\nAnswer: -199940.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 1240*c - 192200.\nAnswer: -2*(c - 310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3004*d**4 + 5*d**3 + 19811*d**2 wrt d?\nAnswer: -72096*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 112122210020 (base 3) to base 5\nAnswer: 33213103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -103*s**4\/24 - 33*s**3\/2 + 55*s**2. Is q(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 501.7565 seconds?\nAnswer: 501756500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -212219 and -212172 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175836 and 4122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475, -383, -259, -103, 85, 305, 557?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 16*a**2 + 1816*a + 48733. What is d(-70)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137621 and 418.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69472069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.648 (b) -5\/4 (c) 0.06 (d) 0.2 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19 + -10 + -10)*2\/((-2)\/(-191)). Let g(b) = 15*b + 6. Let i be g(-4). Let a = i - v. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12904.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*n + 4*i, -i + 7 + 8 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24957447859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -1\/4 (c) -17\/4 (d) 0.3 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z - 24*z**3 + 60*z**3 - 5*z - 25*z**3 + 4*z**2 + 74 - 13*z**3 as j*z**2 + x*z**3 + m*z + f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*b + 128*b = -757414. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + 1364\/16. Let y = k - 53. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89217 = -8*s - 16975. Is 1\/(-2*1\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1689*t*y**3 + 7*y**3 - 125*y wrt t?\nAnswer: -1689*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose 27*r - 76 = 47 - 15. What is the third biggest value in r, w, 20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3))*-6 + -5.\nAnswer: -6*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/11 + 18\/11*y + 12\/11*y**4 + 32\/11*y**2 + 28\/11*y**3 + 2\/11*y**5 = 0 for y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Let r = -1 + f. Solve 0 = 4*b - r + 6, -b = 2*q + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by (-13764)\/(-527) + (-4)\/34 + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445133533.\nAnswer: 13, 34241041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176705188 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-3)*k)*k\/k**(-1))\/(k*k\/(k*k\/k**(-1))*k)**(-3\/10) assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1001\/110 + 1\/(-10). Suppose -13*l - 30 = -23*l. Solve 4*c = c - h - m, 9 = -l*c - 2*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 62*j + 17. Is 20 a factor of m(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 164*n**2 - 6408*n + 144. What is j(39)?\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/12 + 4\/16*6. Which is the closest to -1\/6? (a) -8\/9 (b) x (c) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 + g + 46 + 2*g - g - 275*g**2 wrt g?\nAnswer: -550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 107, 217, 327?\n\"Answer: 110*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6146.\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25460.52l?\nAnswer: 25460520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1581 and 2754?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = 4*u + 5*v, -3*u - 5*v = 9. Solve i - 3*k = 1, -4*i + 2 = -u*i + 4*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 550 = 4*z. Suppose 4*l - 9*l + z = 0. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*2*(-55)\/(-44). Suppose d*u - 2 = 18. Solve 0 = -2*c + u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3 - 192*u**2 + 939*u - 748 = 0.\nAnswer: 1, 4, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - m, 7*m + 19 = 4*c + 12*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183148106726 + -183151770706.99788. Let z = x + 3663921. Let n = z + 60. Round n to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/6 - ((-7)\/(-21) + -1). Sort g, -1, -5, 5 in descending order.\nAnswer: 5, -1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 277 = 2*q - 19, 5*q = d + 748. What is the remainder when q is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**8\/2240 - r**7\/672 - r**6\/720 + r**3\/6 + 3*r. Let z(a) be the second derivative of g(a). Factor z(m).\nAnswer: -m**2*(m + 1)*(3*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 5 (c) -1 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 69\/2 of a second?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 7*l**2 + 6*l + 2. Let y be m(-6). Let g be (-4)\/6*(-2 + -1). Suppose g*b = -2*t - 4, 0 = 3*b - 4 + 1. Sort 5, t, y.\nAnswer: t, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 1022561?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:00 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 1, x: 1, w: 5, i: 3}. Give prob of sequence ixa.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 - 6*s + 6. Let g(j) = -2*j**2 - j**2 + 5*j**2 + 5 - 3*j**2 - 5*j - 4*j**2. Determine 6*g(p) - 5*o(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/17, 0.2, -6, 3, -2\/4051, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3128\/(-4692)*5\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17500745 to the power of 1\/2, to the nearest integer?\nAnswer: 4183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a3946 (base 15) to base 13.\nAnswer: 56436c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -3\/124988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o = -18*o - 63 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*m + 69*m - 16*m + 5*m - m - m + m + 2*m - m - m + 3 - 3 + m + m - 3*m + 2*m + 2*m - 2*m + (0*m - 3*m + m)*(-3 + 3 + 2).\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40990 is divided by 87?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8158920 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: Let h(w) = -3*w**2. Let d(f) be the first derivative of -47*f**2\/2 + 35. Determine d(h(p)).\nAnswer: 141*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -291460 divided by 3835\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 2*p + 2. Let y(t) = -t**3 - 6*t**2 - 2*t - 8. Let q be y(-6). Suppose q*g - 31 = 3*i - 4, 3*i = 9. Let c = g + -11. Determine v(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let j be 3 - (-1 + (3 - 1)). Let p(c) = j*c + 8*c - 5*c. Give h(p(v)).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p**2 + 416*p - 2848. Calculate g(7).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67251065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 766523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 114304563 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.192 less than -33?\nAnswer: -32.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18604200 and 18604200?\nAnswer: 18604200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17095 greater than 17095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(1\/(-1146)*4). What is the hundreds digit of (i\/(-4))\/((-27)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025377129 to the power of 1\/2, to the nearest integer?\nAnswer: 32022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t + 0*t = 154 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.77 + -3.8. Let k = 0.07 - f. What is the closest to -2 in 5, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(133) - (1*sqrt(133) + sqrt(133))))\/(sqrt(7)*-3*2).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1443, -2926, -4411, -5898, -7387?\nAnswer: -8878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1886 + 443?\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8891488.\nAnswer: 2, 277859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72\/30 - (-2)\/(-5). Suppose g - u = t, -3*g + 5*u = g - 10. Let n be ((-6)\/2)\/(2 - 1). Which is the closest to g? (a) 0.5 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423009.\nAnswer: 3, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*w + 2*a = -97*w - 18, 7*w + 26 = -3*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -22*d**2 + 322*d - 2. Give a(6).\nAnswer: 1138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -20c7ac?\nAnswer: -20c7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 25 = -5*l, 0*l + 6 = -2*l - 2*g. Let o = l + -2. Let w(d) = d**2 - d + 3. What is the remainder when w(o) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 times 12.4249?\nAnswer: -75.79189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15216 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z - 2641 + 2900 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -13 + 194\/2. Suppose 100 = -z*c + 92*c. What is the highest common factor of 125 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.8. Put -0.3, x, 4 in decreasing order.\nAnswer: 4, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 2\/5*n**2 + 14\/15*n**3 + 0*n + 1 + 4\/5*n**4 + 6\/25*n**5. Factor h(i).\nAnswer: 2*i*(i + 1)**2*(3*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-x**3 - 3*x**2 + 3*x**2) + (-x**2 + 0 + 0)*(8677*x - 3510*x - 4200*x).\nAnswer: -968*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 10) to base 13\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -28. Let h = -2.85 - -2.85. Which is the nearest to 0.1? (a) m (b) h (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/30))\/((s*s*s*s**(4\/9))\/s*s))**(-32) assuming s is positive.\nAnswer: s**(3568\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 2:19 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -296, -945, -2028, -3545, -5496?\n\"Answer: -217*k**2 + 2*k - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/7 + 88\/(-308).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + j**2. Suppose 7*t + t - 40 = 0. Suppose 4*h + t = -4*o + 1, 3*h = 3*o - 9. Calculate c(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34811 - -34815. Calculate the highest common factor of 238 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5*l - 10 = 0, -3*u - 48387 = l - 48373 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1981.249.\nAnswer: -792.4996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162)*-2 + (sqrt(162) - (0 + 4*sqrt(162)) - sqrt(162)))**2.\nAnswer: 108*sqrt(2) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 8:29 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495360 = -517*q + 1696720. What is the highest common divisor of 100 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -38. Let j = w - 10.994. What is j rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/n**8)*n)\/n)\/n*n\/n**(3\/13))**20 assuming n is positive.\nAnswer: n**(1760\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107.5 - -164. What is s rounded to 0 dps?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-27 - -10) + (3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1659, -1662, -1669, -1680, -1695?\n\"Answer: -2*m**2 + 3*m - 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -71*c**7\/210 - 11*c**6\/120 + c**5\/20 + 4767*c**3\/2 + 8*c**2 + 320. Find the first derivative of n(h) wrt h.\nAnswer: -284*h**3 - 33*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122a2a (base 13) in base 6?\nAnswer: -13151423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 41. Let t be (n\/(-8) + -3)*32\/6. Let v be ((-6)\/5)\/(2\/10). Which is greater: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*j**3*t**3 - 1163*j**3*t**2 - 2*j**3*t + 420937*j**2*t wrt t.\nAnswer: 330*j**3*t - 2326*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 2)*(-66 + 64 + (2 - 1)). Solve z = 29*c + 25 + 91 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2278683355\/1518 - 1501109. Find the common denominator of 115\/42 and f.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*b**3 + 0 + 2\/7*b - 1\/7*b**4 + 1\/7*b**2 + 1\/7*b**5 = 0. What is b?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -117*o**2. Let a(k) = 5*k. Determine f(a(y)).\nAnswer: -2925*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g + 3. Let w(i) = 155*i + 65. Let k(p) = -45*r(p) + 2*w(p). Is 3 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34866069?\nAnswer: 3, 7, 1660289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 + 8*a - 9. Let x be y(6). Suppose 5*u = 13 + 32. Suppose -m + x + u = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28808, -28755, -28698, -28637?\n\"Answer: 2*z**2 + 47*z - 28857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 4, 0.5, -2.3, 112\/13, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l**2. Let n(o) = 65*o - 3. Let w(x) = -263*x + 13. Let q(g) = -26*n(g) - 6*w(g). What is h(q(m))?\nAnswer: -112896*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 24*s. Let o(q) = -253*q**2 - 74*q**2 + 50*q**2 - 167*q**2. Give r(o(k)).\nAnswer: -10656*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76.852 + -77. Let j = -0.048 - k. What is the third smallest value in 2, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -3. Let f(k) = -p + 3*k - k + k. Is 8 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*j = 36, -4*j = j - 15. What are the prime factors of (3\/f + 1)*(108 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*-378*(-80)\/4480.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -40?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4344 and 1303924?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2274, -5228, -8870, -13200, -18218?\n\"Answer: -344*b**2 - 1922*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x**2 - 6. Let d(k) = 6*k**2 - 2. Let i = -15 + 19. Calculate i*z(f) - 11*d(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227 - 226.819. Let k = z - -0.119. Which is bigger: -0.01 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-15 + 2 + 6 - (-3 - -1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjxx. What is prob of picking 1 x and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -25 + 11*n + 4 + 1 - n**2. Let w be k(10). Is (-6)\/w - 8388\/(-45) - -4 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15528362.\nAnswer: 2, 7764181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiiibbiibii.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*f + 9. Suppose 1 = 8*g - f*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 6 - 5 - 1.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 3*c**2 + c - 1. Let w be v(-3). Let y be -2*(68\/(-8) - w). What is the greatest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 + 7*h**2 - 4*h + 4. Let y(u) = -4*u**3 + 7*u**2 - 3*u + 3. Calculate -2*f(a) + 3*y(a).\nAnswer: -4*a**3 + 7*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/525, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -32 + m**2 - m + 61 - 30. What is the tens digit of q(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.42485 and 0.067.\nAnswer: 1.49185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1895670357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 + 10 = 0. Find the first derivative of v - 1 + 5*b**3 + 21 + 8 wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16 = n + n, -5*a = -3*n - 31. Let u be (4 - n) + (-4)\/2. Solve -4*v = -u - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcfffffcc. Give prob of picking 1 c and 1 f.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 + 7. What is q(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -28*t + 107. Let u be x(-5). Calculate the greatest common divisor of 117 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143229.063627 + 143229. Round l to 3 decimal places.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 + 30*g**2 + 198*g - 15246.\nAnswer: -2*(g - 33)**2*(g + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:22 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4132 + 109870 = 14*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times 2?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i**3 + i - 1. Let u be 2*-1 - (-5)\/1. Let p be -3 - (-2 - -2 - 1). Let b = p + u. Determine y(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*o = -23 - 46, 5*a = -4*o - 116. Find the common denominator of -17\/8 and 302\/a - (0 - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Let h = t + -4. Let w be 2\/((-8)\/6) - 0. What is the closest to h in -3, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1110110010110001?\nAnswer: -1110110010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b**3 + 125*b**2 + 935*b - 325.\nAnswer: -5*(b - 13)*(b + 5)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**3 + 3. Let m(h) = 5*h**3 + 4. Let s(c) = c**3 - 30*c**2 - 31*c + 3. Let w be s(31). Calculate w*q(n) - 4*m(n).\nAnswer: -2*n**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33402, -130504, -291314, -515832, -804058, -1155992, -1571634?\n\"Answer: -31854*i**2 - 1540*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o = 8290. Let v = -4913\/3 - o. Suppose -5*h = 1079 - 1179. Is h greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128204739783 - -128207021713.99982. Let r = 2281956 - d. Let t = r - 25. Round t to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5067 + -5066.5. Which is the nearest to -1\/4? (a) -3\/8 (b) 38 (c) 9\/2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3, j: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 778 = 3*u - 3940, 5*u + 5*n - 7865 = 0. Let o = u + -692. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168.49 - -168.39. What is the closest to 7 in q, 0, 3\/29?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1276 and 3074?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5782043589 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013835374 to six dps.\nAnswer: 0.013835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 92, 60, 46, -3 in ascending order.\nAnswer: -3, -1, 5, 46, 60, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 + -116. Suppose -958 = -k - 5*q - 0*q, n*k - 4*q = 4674. Suppose -4*h - 3*h = -k. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1845)\/328 - (-1 + -5))*8\/12\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, 11 in decreasing order.\nAnswer: 11, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29561? (a) 12 (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -2627125, -3\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/91*(7 - (-135)\/(-20)). What is the smallest value in -1, -2, 4, y, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2648 by 2.\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 8*g**2 + 21*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0538229 - 0.07382284. Let z = f - -0.02. What is z rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2678058, -2678096, -2678166, -2678274, -2678426, -2678628, -2678886, -2679206?\nAnswer: -2679594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 17309\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7361, 7362, 7367, 7376?\n\"Answer: 2*q**2 - 5*q + 7364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1016005464?\nAnswer: -1016005466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2643, 5277, 7907, 10533?\n\"Answer: -2*o**2 + 2640*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 247278643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 10 + 554)*(3*h**2 - 5*h**2 + 0*h**2).\nAnswer: -1030*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4127060 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2469357.1628 - 2468447. Let v = 910 - u. Let n = v + 0.177. What is n rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610854957 to the power of 1\/2, to the nearest integer?\nAnswer: 51097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*z + 13052*z**3 + 214 - 134*z - 214 - 13054*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.072992592 to 5 dps.\nAnswer: 1.07299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -99*n - 3. Let l(v) = 2*v + 3. Determine l(u(w)).\nAnswer: -198*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = 5*s. Let j be (s - -5 - 1)*-2. Let v be -3 + 4 + (j - -2). Put v, 4, 2 in descending order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-36))\/((-6)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -b. Let a be 1\/(-3) - (-7)\/3. Let v be -6*a\/(-16)*1. Which is greater: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * -2144.23.\nAnswer: -6647.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 13*b - 14. Suppose -2*x = -4*h - 10, 3*x - 386 + 379 = -2*h. Let o(y) = y**2 + 7*y + 7. What is x*m(p) + 5*o(p)?\nAnswer: -p**2 - 4*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 11*l - 41. Let o = -67 + 53. Let n be m(o). Let b be n*11901 - (11 + -10). What is b rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112100002 (base 3) to base 7\nAnswer: -42320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9665.33236 rounded to the nearest 100?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29740, -29935, -30130?\nAnswer: -30325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122122 (base 3) to base 13.\nAnswer: 2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 + -67. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4167 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, x: 1, y: 1, v: 1}. What is prob of picking 1 y and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9495*z + 87 + 1924*z - 87 + 293*z**2 - 291*z**2 to w*z**2 + v*z + f and give v.\nAnswer: -7571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*m - 4, -2*m - 10 = 3*j - m. Let f(k) = -2*k**3 - 4*k - 2. List the prime factors of f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-4200)*5*21\/12?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvv. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 0*o**3 + 0 - 6*o**2 - 1\/24*o**4 + 1\/20*o**5 + 0*o. Determine f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 - 63*p - 612. What is f(-9)?\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.59868mg in nanograms?\nAnswer: 97598680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o + 1166. Let c be j(-50). Which is smaller: 615 or c?\nAnswer: 615","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**4\/12 + 11*n**3\/6 - 3*n**2. Let k be o(0). What is the second derivative of -5*h**3 - 6*h - h + k*h wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/18 + 3\/6. Let k(y) be the second derivative of -y + 0*y**2 + 0 + o*y**3. Let g(l) = -l**2. Give g(k(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -14*y - 88. Let n be i(-6). Let m be (n\/(-3))\/((-46)\/(-138)). Solve m*q + 7 = 5*q - 5*g, 5*q + g - 9 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373222*r - 11232 = 373573*r for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-4*6 - 1*(sqrt(190) + 4*sqrt(190) + sqrt(190)))\/(2*sqrt(1000)*1*-2))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9013*a - 3004*a - 3000*a - 2999*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (178490\/4355 - 41)*(3\/(-12) - 5\/(-4)).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) 0.3 (c) 1 (d) -2489 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and -192.074.\nAnswer: 268.9036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 - 26*y + 17. Let n be o(6). Suppose 0 = n*s - 3*c - 2035, -145 = -3*s - c + 1090. List the prime factors of s.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (688\/602)\/(2\/42) and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283030, -2264592, -7643114, -18117076, -35384958, -61145240, -97096402, -144936924?\nAnswer: -206365286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -43*r**6\/30 - 25*r**4\/6 - 3*r + 7. What is the third derivative of a(b) wrt b?\nAnswer: -1032*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 5:58 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30687818 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = -3*p - 27, -3*n = -4*p - 25. Sort 3, -2, p in ascending order.\nAnswer: p, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 13*r - 7. Let y be d(-13). Let k be 2\/(-4) + 9\/2. Let w = k - y. What is the remainder when 31 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**5 - b**4 - b**3 - b. Let l(w) = 2*w**5 - 5*w**4 - 5*w**3 + 7*w**2 - 5*w. Let r(h) = l(h) - 5*o(h). Find the third derivative of r(p) wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 1, c: 2, y: 1}. Give prob of picking 1 q and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Suppose f = -3*f + 20. Solve y*u = -f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*z - 9*z - 9*z)*(-2*z**4 + z - z).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, -8258 in increasing order.\nAnswer: -8258, -12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153.5 - 153. Let m = -79 + 239\/3. Let r = -0.35 - 0.05. Which is the second smallest value? (a) r (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*483045\nAnswer: -483045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 48516 divided by 4\nAnswer: 12129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 144 = 2*f - 166, -2*m + 5*f + 29 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 15. Let t be 54\/24 + n\/4. Solve -t*b = x + 18 - 7, 0 = x - 4*b - 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 42 = -4*i. Suppose 3*w + i = 2*j, -j + 2*j = 2*w + 6. Solve -j - 2 = -2*v, -2*x + 1 = -v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77.71 - -77. Let v = 7.31 + t. What is v rounded to 1 dp?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1585 - -1599) + -1 + -29?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 53*s**2 - 3*s - 2. Let h(k) = 54*k**2 - 4*k - 3. What is -2*h(t) + 3*u(t)?\nAnswer: 51*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 17*n**2 + 154*n + 11. What is the remainder when s(-12) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99230690*b*z**2 - 8*b*z - b + 55672*z wrt z?\nAnswer: 198461380*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 + 56132*m**2 - 1181550534*m.\nAnswer: -2*m*(m - 42099)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-6)\/(-3) + 1. Suppose -u*d + 15 = -5*m, -3*m - 7 = m - 3*d. Calculate the smallest common multiple of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -8, -5 in descending order.\nAnswer: -5, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 29*i + 19. Let u be c(14). Sort 229, u, -11 in ascending order.\nAnswer: -11, u, 229","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1\/1)*0. Let m = 3 + q. Suppose -m*i + 20 = 2*i. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.08 and 4061.\nAnswer: -61239.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 2. Let m(s) = s + 4. Let p(i) = i + 4. Let x(y) = d*m(y) + 4*p(y). Let b = 9 - 9. What is x(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 13*v**2 - v - 7. Determine o(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206 - 3715\/18. Find the common denominator of z and -97\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10. Let x = -3.7692 - -0.7692. Which is the fourth smallest value? (a) -0.4 (b) 9 (c) o (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/21)\/(4\/28). Suppose 12 = -0*w - p*w. Let y(h) = 2*h + 6. Let u be y(w). Let q(f) = -f**3 - 6*f**2 + 2*f + 8. Calculate q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 926 + -924. Factor 15*o**2 + 5\/3*o**4 + 29\/3*o + r + 9*o**3.\nAnswer: (o + 1)**2*(o + 3)*(5*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -2*b**3\/3 - 16*b. Let i(c) be the third derivative of c**5\/60 + 2*c**2. Determine g(i(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001120011000 - -20?\nAnswer: -1001120010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.4, 6, 1\/127, -18 in descending order.\nAnswer: 6, 0.4, 1\/127, -1\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 63 = 112*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 76\/(-78))*((-21)\/1 + 30)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -602 + 42*i**2 - 72*i**3 + 987 - 385 to q*i**3 + x + r*i + z*i**2 and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**5\/60 - d**4\/3 - 2*d**3\/3 + d**2\/2 + 30*d + 21. Let r(u) be the second derivative of i(u). Determine r(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1755*b - 2742. Let p(t) = -129*t + 211. Let r(o) = -4*m(o) - 54*p(o). What is r(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31 and -114.3694447.\nAnswer: -145.3694447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 437417*s - 5*s**2 - 5*s**2 - 1.\nAnswer: -s**2 + 437417*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182*t**3 + 2*t - 46*t**3 - 122*t**3 to f + n*t + c*t**2 + z*t**3 and give z.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 63152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318715, -318713, -318711, -318709, -318707, -318705?\nAnswer: -318703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-8) - 0)*1524\/(-889). Let y = -61 + 58. Let k = 100 + -96. Which is the fourth biggest value? (a) y (b) -2 (c) f (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372262 greater than 372260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 2:32 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/32 + 5\/32. Let w = -9.9 + 10. What is the nearest to v in w, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255770755 a multiple of 4443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 8. Suppose q - 16 - 26 = -5*d, -2*d + 2*q = -12. Suppose 0 = u - 4*f - d, 5*f + 48 = 4*u + 5. Solve -b*o + 4*o = u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.4 + -14.5133. What is z rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -332?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320123171 to the power of 1\/2, to the nearest integer?\nAnswer: 48168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, b: 1, e: 2, p: 1, y: 3}. What is prob of sequence ybe?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/1399 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -143, -145, -155, -179, -223?\n\"Answer: -o**3 + 2*o**2 - o - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - g = -69, 0 = -s - 9*g - 44 + 23 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/(-2)*84\/56\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2490 + -2427. Sort 8, -1, 2, -3, r.\nAnswer: -3, -1, 2, 8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 + l - 2. Calculate the lowest common multiple of 12*((-2)\/12)\/(88\/(-704)) and m(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32430568901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - i + 36, -92*l + 32*l - 3*i - 43 - 1 = -25*l - 31*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5) - sqrt(13))**2 + 0 - (sqrt(13) + sqrt(104)\/(sqrt(392) + sqrt(8))).\nAnswer: -9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4807632 and -37\/43312.\nAnswer: 4807632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-7) + 420\/49. Let f be (v\/(-6) + -1)*-34. Suppose -f = -4*w + 59. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.088037092 - -5.211960808. Let m = -5.3 + a. Round m to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 10. Give h(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 338*l - 13384. Determine f(-66).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/4*(6 + -2) + 199. Suppose f + 24 + w = 5*h, -2*h - 5*f = -112. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6732, -26849, -60368, -107283, -167588?\n\"Answer: s**3 - 6707*s**2 - 3*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 7*x**2 - 8*x + 3. Let i be f(8). Let j be (-3)\/2 - 12\/8. Sort j, i, 4 in decreasing order.\nAnswer: 4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 24 - 26 + 14*j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467141 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b**3 - 2*b)*(-2 + 2 + 1) + 4*b**3 - 5*b**3 - 17*b**3 + 6*b**3 - 2*b**3 - 2*b**3 + 209*b**2 - 2*b - 209*b**2 + 12*b**3.\nAnswer: -3*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 142 = 41*q. What is the closest to 0.2 in -1\/7, -2, q, -7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a**3 + 2*a**2 + a + 2. Let n(o) = 64*o**3 - 11*o**2 - 6*o - 11. What is 11*c(m) + 2*n(m)?\nAnswer: -15*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3 + (6 - 1 - 3)*(-3 + 0 + 5) - 1 + 0 + 2)*((0*t - 3*t + 0*t)*(-5*t**2 - 2*t**2 + 5*t**2) + 5*t**3 + 23 - 3*t**3 - 2).\nAnswer: 32*t**3 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 490\/63 + (-4)\/(-18). Suppose -3*q - 34 = -4*f + 72, 0 = 4*q + z. What is the remainder when 199 is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2790 and (-11284)\/693 - 1479\/(-87)?\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 664470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 54\/5 of a centimeter?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 481\/110376 - -116\/1533. What is the common denominator of n and 89\/1260?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -799*g - 153. Let o(i) = -21*i - 4. Let n(d) = -153*o(d) + 4*v(d). Let c(q) = -496*q**2 + 242*q**2 + 252*q**2. Give n(c(z)).\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/19))**(13\/6)\/(a**(-32)*a**10*a) assuming a is positive.\nAnswer: a**(1184\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + z - 2. Let f be c(2). Let v(t) = 2*t**2 + 6*t + 9. Let g(y) = -3*y**2 - 7*y - 11. Let n(s) = 3*g(s) + 4*v(s). What is n(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**8\/840 + g**7\/525 - 18*g**2 + 36*g - 1. Let a(n) be the first derivative of m(n). Determine l so that a(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 30, -5*f + 3*s = 31 + 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 497\/(-1274) - (0 - (-9)\/(-21)). What is the second biggest value in -0.1, f, -2\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*i*u**3 - h**2*i*u**2 - 10*h**2*u + 12*h*i*u**2 - 4*i*u + u**3 wrt h.\nAnswer: -6*i*u**3 - 2*i*u**2 - 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3*z - 3*z)*((0 - 3 + 4)*(-88 - 51 + 4) + 2 + 1 + 0 + (10 + 7 + 0)*(-4 - 1 + 3)).\nAnswer: -332*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-2))\/(9\/(-18)) + 945\/(-135). Find y such that 2*y**g - 20\/3*y + 0 + 2\/3*y**3 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 2*v + 2*v + (8 - 4 + 4)*(0 - v + 0) to the form h*v + u and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 0.5 (c) 7 (d) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000768235599 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5.6, 0, -2\/3, -43, -3.\nAnswer: -43, -3, -2, -2\/3, 0, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r + 18*r - 26*r**2 - 29 + 25*r**2 + 7*r. Is x(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 16*o - 113. Let q be f(6). Solve 2*x - 1 = l, 3*x + 15 - q = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enl when three letters picked without replacement from {e: 1, n: 1, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 3:54 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.4, 1, 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((-5 - -1) + -2 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 31802*y**2\/3 - 191028*y.\nAnswer: 2*y*(y - 18)*(y + 15919)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 17, p: 2}. What is prob of sequence yp?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16930.5 times -0.04\nAnswer: -677.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and (-2)\/11 - (9342\/(-198) - -5)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -5*(sqrt(28)*-4 - sqrt(28)))**2.\nAnswer: -17525 + 500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.89 to zero dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-331)\/(-12) - (-2)\/8. Let q = 39 - f. What is the units digit of -58*(4\/22 + 74\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -113 (b) -0.5271 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i + 1. Let v(b) be the second derivative of -5*b**4\/12 - 2*b**3\/3 + 2*b**2 + 2*b. Determine v(x) - 4*z(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17274?\nAnswer: 2, 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 31*k**2 + 29*k + 58. Let g be j(30). Calculate the greatest common factor of g and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*l + 11 - 3, 0 = -4*u - l + 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 32136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-81)*6 + 19*7647\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2991590 is divided by 52.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72.66 - 69.66. What is the nearest to -2 in -2\/7, z, 0.04, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11307, -22618, -33931, -45246?\n\"Answer: -q**2 - 11308*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/2 - g**3\/2 + g**2\/2 + g\/2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 138746.5496 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13*x**2 - 11*x. Let q(o) = -7*o**2 - 6*o. Let z(s) = 6*g(s) - 11*q(s). Let t(f) = -13*f**2 - f**2 + 16*f**2. Calculate z(t(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2653 - 1489. Calculate the highest common divisor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -10676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 9259*t**7\/42 + t**4\/12 - 16*t**3 + 2*t**2 - 10*t - 179. What is the third derivative of c(d) wrt d?\nAnswer: 555540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5 = -j + 5*q, 3*j - 3*q - 63 = 0. Let o = j + -23. Suppose -o*u - 2*u - 168 = -5*k, -36 = -k + 2*u. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3 - 97780*u**2 - 8832964*u + 8930740 = 0. What is u?\nAnswer: -91, 1, 24535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 2 + (-6 + 2 + 2)*(-1 + 0 + 2) + 3 + 4 - 5)*(22 - 6 - 60)*(0 - 3 + 4)*(-n + 6*n - 2*n)*(2*n - 3 + 3) in the form q + y*n**2 + o*n and give y.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, o: 3, e: 1, b: 1, c: 1, a: 2}. What is prob of picking 2 o and 1 c?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388, 1256, 3070, 6304, 11432?\nAnswer: 18928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + ((-12 - 7 - -35) + -1 - 7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 83, -169431.\nAnswer: -169431, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2016 and 73\/198.\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (1 - (-12 - 3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or 4\/21?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 7 = r. Suppose r = -5*g + f + 365 + 64, f + 89 = g. Suppose g = 3*x + 2*x. What is the least common multiple of 7 and x?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2. Let r = -9 - -12. Let w(m) = -4*m + 6*m - r*m. What is w(n(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 11)*(62 + 13 - 27)*(-3 - 6*h + 4*h + 0*h).\nAnswer: -1152*h - 1728","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1299 divided by -1.\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12*r**3 + 3*r**2 + 20. Let t(n) = -n**2 - 1. Let w(d) = l(d) + 3*t(d). Differentiate w(a) with respect to a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 26 = 5*n, -5*n + 11 = p - 3*n. Suppose -25 = 2*l - 7*l, 4*l = -p*w + 8. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 + 6478*p + 51 - 99 to the form b + w*p and give w.\nAnswer: 6478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 6*i + 3. Let k be u(6). Let l(o) = o**3 - 5*o**2 - o + 7. Let v be l(5). Let w = v - 0. Solve d - k*d = -w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 720088136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-9)\/36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 37 = -5*b + 235, 3*b + 5*h = 146. Suppose 2*x - o - b = 0, x - 5*x = 2*o - 68. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905393.8 millilitres in litres?\nAnswer: 905.3938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwzzz. What is prob of picking 2 z?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 171 = -2*j, -2*d + 52 + 23 = -3*j. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 - 18 = -6*f. Let h(x) be the first derivative of x**3\/3 + 17*x**2\/2 - 6*x - 1. What is the tens digit of h(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1768 + 1123 + 884 = 151*d. What is the lowest common multiple of d and 1150?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 50 - (115 + -146) - (0 - (-85 + -1)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 7 + 66\/(-12). Let x(j) = -j**2 - j + 2. Let p be x(0). What is the closest to w in 4, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 9*v**4 - 5462*v**3\/5 + 64628*v**2\/5 + 41848*v\/5 + 6048\/5 = 0.\nAnswer: -2\/5, -2\/9, 14, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3097 and 519973.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-1))\/2*2. Let v(r) = -11*r + 73*r**2 + c*r - 72*r**2 - 13. Determine v(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 39*j - 17690. Calculate the remainder when j is divided by 62.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfaxffxfa. What is prob of sequence axf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o + 5. Let i = -348 - -350. Determine m(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33\/(7 + 2952\/(-423)).\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-8 + 3 + 9 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5 - 21\/35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -159, -160, -161, -162?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by -14.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.122 - -0.648. Let t = 7.03 + r. Let b = 8 - t. Is b equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-1) + 430\/43. Solve 5*o + 17 = -2*c + 3, 7 = -3*c - r*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (86*v**2 - 84*v**2 + 159*v**2)*(13 - 9 + 1 - 47 - 24) in the form i*v + m*v**2 + k and give m.\nAnswer: -10626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4 (c) -0.3 (d) -0.0469632 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.598 and 970.\nAnswer: 967.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 - 0.8. Let s = j + 4. Let f = -5 + 5. Which is the smallest value? (a) 2\/11 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.28066 - 0.11934. Sort c, -8, -41 in ascending order.\nAnswer: -41, -8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*s + 22, 4*m - s = -m + 11. Suppose -m*q = -4*p + 41, 2*q - 2 = 5*p - 6*p. Solve 0 = -4*o + p, -4*r + o = 6*o - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4381 - 1.6381. Which is smaller: f or 120?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 14*y + 2. Let q(z) = z. Let b(f) = -l(f) + 12*q(f). Let s(k) = k**2 + 11*k + 11. Let i(n) = 11*b(n) + 2*s(n). Let d(o) = 5*o**2. What is d(i(p))?\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 9 + 16. Let k be (-401)\/o + 10\/(-35). Let g(m) = -7 + 2 - 56*m**3 - 5*m**2 + m + k*m**3. What is g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-54))\/((15\/140)\/(30\/(-35)))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 18*c - 7*c - 4 - 10*c + 5 to r + t*c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*i + 891 - 105 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*y - 35, -3 = 5*y + 2. Suppose j + 3*b - 1 = 18, 0 = -4*b + 20. Suppose -j*p = 5 - 13. Solve p*q + 2*q + v = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 - 18*k**4 - 1230*k**3 + 16380*k**2 - 37653*k - 150282 = 0. What is k?\nAnswer: -23, -2, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4\/3*x - 2\/3 - 2\/3*x**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -684*d**3 - 1366*d**2 + 4*d = 0 for d.\nAnswer: -2, 0, 1\/342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -55*t - 20. Let a be d(0). Let o be (-81)\/(-2) + a\/(280\/21). Suppose -208 = -0*q - 4*q. What is the greatest common factor of o and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d + 14. Let a(w) = 5*w + 7. Determine -11*a(o) + 6*m(o).\nAnswer: -o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 5}. Give prob of sequence gggg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10480, 10480, 10482, 10486?\n\"Answer: v**2 - 3*v + 10482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57607\/24444 + 3\/679. Let c = -47\/2196 + -58\/61. What is the common denominator of c and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q + 47*q + 368 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -43. Let i be b\/((4 - 6)\/(-1)). Are 7\/6 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3709 and 11.\nAnswer: 40799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7719*b**5 + b**2 - 142*b?\nAnswer: -154380*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 47*n**2 + 11*n + 3. What is the tens digit of u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**4\/12 + f**3 + 7*f**2\/2 - 16*f - 49. Determine k(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 5, p: 1, i: 12}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20*z + 20. Let p be s(-1). Suppose -6152 = -5*a + 2*d, -21*a + 20*a - 4*d + 1226 = p. List the prime factors of a.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 j when four letters picked without replacement from jrrrjjrtrjr.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 23. Let n be -9 - 3\/(-6)*-4. Let k = n + 42. Calculate the remainder when k is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 92 = 19. Let b = -23 + i. Let k be 172\/b - (-2)\/(-7). Solve 0 = -2*z - 5*v - 1, 5*z = -v + 3*v + k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -26. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62388351.\nAnswer: 3, 17, 23, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7098 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42\/27029 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.4 (b) -0.031 (c) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -648539 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0 + 0*j**3 - j**2 + 1\/60*j**5 + 0*j**4 + 0*j. Let a(q) be the second derivative of -q**4\/6 - q. Give w(a(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 5*f + 6. Suppose -a = 2*w + 136 - 152, -3*w - 20 = -4*a. What is the lowest common multiple of t(-5) and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2357504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = a - 1423, -a - 5650 = -5*a - 5*x. Calculate the remainder when a is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 24 - 18 - -37\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 15, -15\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 8:19 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -27*j**5\/20 + j**4\/12 - j**3\/3 - j**2 + 4*j. Let x be w(-1). Calculate the highest common factor of 84 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*u - 1 - 101*u - 103*u + 310*u + 2 - 115*u**3.\nAnswer: -115*u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 - -447) + (2 - 3)\/(-1). Let f = -230 + y. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) + (-7)\/(-5). Let v = 134 - 133.13. Let h = 0.9 - v. Which is greater: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81648799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -185, 496 in ascending order.\nAnswer: -185, -8, 496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 5*p**2 + p + 4. Let u be l(5). Suppose -u*r = -5*r - 544. Suppose 9*y - 638 - r = 0. What is the remainder when y is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blegglggbb. Give prob of sequence le.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29806236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-15 - 8) + (2 - (11 - 3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -1 + 2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -35778640.\nAnswer: 1\/35778640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 25*o + 14. Is a(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99*-2.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**18\/d**(-2\/9))\/(d**(-1\/6)*d*d*d*d)**(-21) assuming d is positive.\nAnswer: d**(1777\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from lfzzefflluefezuflff?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/3*(-6)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7 = w + 4*w, 4*q = -w - 5. List the prime factors of (-34)\/4*q*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m**(-10)\/m)\/m)\/m)\/((m\/(m**(6\/13)*m))\/m))**3 assuming m is positive.\nAnswer: m**(-411\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t. Let l = -14 + 11.8. Let v = 2 + l. What is the smallest value in t, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbpb when four letters picked without replacement from ppbppppppppppbbppbpb.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:50 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/b)**(-3\/19)\/(b**(-2\/27)*b\/b**2) assuming b is positive.\nAnswer: b**(1280\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*h - 12, -2*h + 5 - 3 = 2*f. Solve -1 = h*o - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55296 divided by 1024\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 130008 = 3*g, 1572*g = 1575*g - u - 130038. Is g a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17063 (base 9) in base 10?\nAnswer: 11721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -26*w**3 + 6*w + 8. Let m be d(-4). Suppose 3*k - 2*l - m = 3*l, -4*k + 5*l = -2199. What is the highest common divisor of k and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 140.2. Which is the third smallest value? (a) 4 (b) 2\/13 (c) -4\/9 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 169*z**5\/3 - 715*z**4\/6 - 500*z**3\/9 - 20*z**2\/3 + 214. Factor j(a).\nAnswer: 5*a*(a - 2)*(13*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -906 + 906. Suppose x = 14*n - 19*n + 4*k + 117, -5*n + 127 = k. What is the highest common factor of 85 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -53 + (-25 - -27).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1696 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62323 divided by -70?\nAnswer: -62323\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163306.861 - 244.139. Let j = i + 163523.0022. Let m = j + 28. Round m to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 4\/3*f**3 + 0 + 139*f**2 + 0*f - 7\/4*f**4. Differentiate w(q) wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 3 + 0*x**3 - 5\/72*x**4 - 1\/1080*x**6 - 2\/135*x**5 + 0*x - 28*x**2. Factor q(b).\nAnswer: -b*(b + 3)*(b + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 5*u + 24. Let w = 8 + u. Suppose w*b - 2*b - 352 = -3*y, -236 = -2*y - 2*b. Is y a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-4\/3)*k**18 assuming k is positive.\nAnswer: k**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10237)\/(-783) + -13 - (-5 - (-8308)\/(-108)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 602195 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5291.0536 rounded to the nearest 10?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggbb when four letters picked without replacement from bbggggggggg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 3*o**5\/20 - 55*o**3\/2 + 280*o**2 + 78*o. Differentiate k(y) wrt y.\nAnswer: 9*y**2 - 165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31200\/(-384) - -81 - 50\/8\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.018 + 0.183\nAnswer: 0.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q - 4*n + 1250, -3*q - 2*n + 1246 = 0. Suppose -2*g + 4*t + 1053 = 3*g, -4*t - q = -2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2074\/63 - -232\/7. Let i = -28\/5 + 79\/15. Suppose -2*p = p - 6. Which is the closest to -1? (a) p (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1636.00851 - -1636. What is g rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 830 + 1076. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3967, -7937, -11907?\nAnswer: -15877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2096553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let q(f) = -3*f - 21. Let s(k) = k + 2. Let v(w) = w**2 - 9*w + 8. Let l be v(5). Let y(r) = l*s(r) - q(r). Give y(a(z)).\nAnswer: 9*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:29 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*p**4\/9 - 13736*p**3\/9 + 61422*p**2 - 1064284*p\/9 + 525248\/9 = 0. Calculate p.\nAnswer: -566, 1, 464\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 3*c - 1. Let k be r(3). Suppose k*x = x + 154. Solve 0 = 4*z + 6 - x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/(f**(-2)*f)*f**(-6)\/f**(4\/11))**44 assuming f is positive.\nAnswer: f**(-544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/11 + 10*j**3\/11 - 42*j**2\/11 + 46*j\/11 - 16\/11.\nAnswer: 2*(j - 1)**3*(j + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v - 43514 - 24*v + 45*v + 3*v**2.\nAnswer: 3*v**2 - 43514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*c = -36841 + 23114 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 - 116*r**3 - 424*r**2 + 1344*r = 0.\nAnswer: -24, -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 10\/461, 13?\nAnswer: 10\/461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -242 + 226.1. Let r = k + 16. Which is greater: 2\/9 or r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(56)\/sqrt(175)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*y**2 - 15*y**3 - 28*y**2 + (-y - y + 4*y)*(1 + 3 + 1)*(2*y**2 + 5*y - 5*y + (-y**2 + 0 + 0)*(3 - 3 - 1)) to a*y**2 + s*y + l*y**3 + p and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (-231 - -229).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 48*x**4 + 192*x**3 + 256*x**2.\nAnswer: 4*x**2*(x + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3349725.\nAnswer: 3, 5, 59, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000038286 rounded to 6 decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 2*l + 1. Let c be j(-1). Let y = -0.95 + -0.05. Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, t: 2, r: 1, g: 1, i: 1}. What is prob of sequence jt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 4*y**2)*(-y + 5*y - 3*y - 2).\nAnswer: 4*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d\/(d*d**(-2\/7)*d))\/d*d))**48)**(4\/31) assuming d is positive.\nAnswer: d**(960\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -105325789?\nAnswer: -105325789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**5\/120 + 2*s**3 + 13*s**2. Let y(o) be the first derivative of u(o). Calculate y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9530\/(-8577) + 20\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x + 54 = 0. Let f be (-48)\/x + (-2)\/(-3). Let q(i) = -i**3 + i**2 + 3*i + 3. What is the units digit of q(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12*(-9)\/(-4))\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169483643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -37*z**2 - z. Let b(r) = -4*r**2. Determine b(w(q)).\nAnswer: -5476*q**4 - 296*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 422014112 from -0.7.\nAnswer: -422014112.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 645802024+8\nAnswer: 645802032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -32115224442?\nAnswer: -32115224440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1303)\/(-5))\/(54\/135). Let y = 653 - h. Factor -y*d**5 - 7\/2*d**3 - 4*d**4 + 0 + 0*d - d**2.\nAnswer: -d**2*(d + 1)**2*(3*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 9 - 4*m**3 + 2*m**2 + 3*m**3 - 2*m**2 - 3*m**2. Is v(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4488760 and 2468818.\nAnswer: 49376360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 19*q + 19*q + 21*q**2 - 21*q**2 + 19*q**3 + (0*q - 5*q + 3*q)*(0*q**2 - 2*q**2 + 0*q**2) in the form k + d*q**3 + x*q**2 + z*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35980 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 44141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (2 - 2 - -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 24*p**2 - 20*p + 1. Let b(o) = -o**2 - 7*o - 12. Let r be b(-7). Is f(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4526524 to the power of 1\/2, to the nearest integer?\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-1)*j*j**(-2)*j\/j**0*j\/((j*j*(j\/((j*j\/j**8)\/j*j))\/j)\/j) assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0551478 to 3 dps.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Let w be (n + (-1 - -2 - 1))\/1. Suppose w = -12*c + 60 - 0. Solve 4*u - 2*p + 7*p = -13, c*p = 3*u + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 792390890*k**3 - 38*k**2 + 2174727*k wrt k?\nAnswer: 4754345340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*h**2 + 42609238 - h**4 - 42609238 + 62*h as y*h**3 + w + a*h**4 + r*h**2 + g*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 17*q + 12. Let f be s(-8). Let y be ((-1)\/(-5))\/(f\/10). Factor -u**2 + 1 + y*u - 1\/2*u**3.\nAnswer: -(u - 1)*(u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1522633486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -22722.\nAnswer: -22728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289133960 by 20.\nAnswer: 14456698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o - 4 = 0. Let h be 3*(o + -3)\/(-3). List the prime factors of 11 + h + (3 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by 36.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 17*a**6\/15 + 2*a**3\/3 + 273*a**2\/2 - 1111*a. Differentiate r(m) wrt m.\nAnswer: 136*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/12*-242 + (497\/42 - 12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25123 and 3395.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -415 divided by 5\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -527*m - 179 - 527*m + 1056*m to z + h*m and give z.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63488 and 682.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10) + (-4 - (-7 + 3)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5289, 21167, 47631, 84681, 132317, 190539?\nAnswer: 259347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.192 take away -0.1191929481?\nAnswer: 0.3111929481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 864587 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*v + 3 + 12, -21 = -3*v + 2*l. Let r be 5\/3 - v\/(-27). Find the third derivative of 9*f**5 - 7*f**2 - 2*f**r - 158 + 158 wrt f.\nAnswer: 540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c*j**2 - 516*c*j + 6*c - j**3 + 190 wrt j?\nAnswer: 8*c*j - 516*c - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 1.4937. Round c to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-10) - (25 - 21))*-1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 0.553?\nAnswer: 0.553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2813, 2878, 3051, 3386, 3937, 4758, 5903, 7426?\n\"Answer: 9*x**3 + 2*x + 2802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 4:26 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94940 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554\/2 + -1 - 1?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 10, 17, 36, 73, 134, 225, 352?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - b = -11*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/351 - (-2)\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/2, -1, 24, -5.67, 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10130 - 6902. Let s = p + -25783\/8. Find the common denominator of s and -5\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 8. Let b be d(8). Let y be 13*1 - 42\/(-14). Suppose 2*k - 5*g - y = -0*g, 4*g = -16. Sort k, b, -3 in decreasing order.\nAnswer: b, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2508623\/845610 - 2\/84561. Calculate the common denominator of 64\/15 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228732644 divided by 8413.\nAnswer: 27188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (7 + 0)*-1. Let m be ((-5)\/1)\/((-2)\/(-2)). Put -4, k, m in decreasing order.\nAnswer: k, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5 + 0*x**2 + x**2 - 2 + 8*x. Let s be g(-9). Factor -1 + s + 4*c + 4*c**3 + 0*c**3 + 6*c**2 - 2*c**4 + 3*c**4.\nAnswer: (c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 - -2*(-92)\/(-144). Let z(p) be the first derivative of 2*p - t*p**2 + 5 - 1\/3*p**3. Give z(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -26, -79, -154, -251, -370?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -36273*p + 36282*p. Solve -3*y + 2 + 5 = -5*m, p*y - m = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -551270883*j**2 + 4070540*j + 24 wrt j?\nAnswer: -1102541766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (0 + 16 - ((24 - -46) + -32))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5 + 427415*f**3 + 2*f**2 - f - 2162816 wrt f.\nAnswer: -60*f**2 + 2564490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 516\/11261?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -76038.6 * 0.027\nAnswer: -2053.0422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, i: 4, k: 2, t: 1, f: 2}. Give prob of picking 3 i and 1 t.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9128617\/63 - -144902. Let g be (-122)\/36 + (-2)\/(-4). Let o = g + v. Which is the biggest value? (a) o (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**3\/3 - 7*i**2\/2 + 9*i + 8. Let a be -3*1\/(-12)*28. Determine u(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 5*l**2 - 7*l - 8. Let f be p(-4). Suppose -4*y + 15 = q, -q = -2*y + f*q + 35. Suppose -5 + 80 = y*c. Solve 2*v - 5*v + c = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6985 + -3?\nAnswer: 6982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b\/b**(-31))))\/b*b)**15*b**(-47)*b*b\/((b**(-35)\/b)\/b) assuming b is positive.\nAnswer: b**487","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -28. Let q be 24\/(3 - -1)*2\/g. Let u(h) = 7*h**2 + 15*h**2 + 3*h + 2 - 21*h**2. Determine u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -62*a + 58*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47469739 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17529, 671, 1 in decreasing order.\nAnswer: 17529, 671, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1458*u + 2929*u + 3683*u**2 - 1473*u.\nAnswer: 3683*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/6*(-684)\/(-693)*33\/15.\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 1\/2*c**2 + 1\/4*c**4 - 2\/3*c**3 + 0*c - 58. What is the second derivative of k(h) wrt h?\nAnswer: 6*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -a - 11 - 3, a + 5*x - 13 = 0. Let z be 0 - (0 + a + -1). Put 4, z, 0, -6 in increasing order.\nAnswer: -6, 0, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -14*y - 18*y - 24 + 6*y. Let q be w(-4). Let k = q - -94. List the prime factors of k.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.979 + -0.021. Which is greater: -2\/9 or s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*u + 8, 0 = 5*h + 2*u + 2. Let z be (h\/(-4)*(-6 + 6))\/(-2). Solve -4*j - 8 = -4*q, z = 3*q - 4*q + 4*j + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmu when three letters picked without replacement from {u: 2, m: 7, k: 4}.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 7620006.\nAnswer: 1\/3810003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.5 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2529486 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:57 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v + f - 22 + 1 = 3*v - 34, 5*f = 12 + 12 - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047477555 to three dps.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + o**2 + 8*o**2 - 12*o**2 - 2*o**2 - 4*o**2 - 6*o**2 + (-3*o**2 + o**2 + 4*o**2)*(-3 + 3 - 2).\nAnswer: -19*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3454849 - -1974849. Round k to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -38.689, -0.1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (7 - 19)) + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 663 = 75. Which is smaller: 27 or c?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4657 + 384. Suppose -45*l + 2*u + c = -40*l, 1019 = l + 5*u. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 5 - 20)*(-a**2 + 4*a**2 - a**2) - 2*a**2 + 0 + 0 + 20 - a - 3*a**2 - 46 + 23 in the form h*a + v*a**2 + i and give v.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.7 + 0.3. Let q = o + -5.5. Let r = -0.8 + q. What is the second smallest value in r, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3 - 23 = 0. Let s = k + -3. Let r(v) = v**2 - 1. Let h be r(-1). Solve h = -2*p - s - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -38\/3, -4, 62, 2333?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.43 + 0.13. Which is the biggest value? (a) 5\/4 (b) v (c) 1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -57. Suppose h = -15*d + 16*d - 42. Calculate the highest common divisor of d and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94243245 a multiple of 447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*l - 3*l - 7, -2*l = -3*m + 9. Is -1\/37 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.6 times -3\nAnswer: 61.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112312233 - -2011?\nAnswer: 112314244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + 121. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:01 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13566, 27132, 40698?\nAnswer: 54264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**9\/q)*q)\/(q*q**(6\/5)*q*q)*q**(-1\/13)*q**(-3\/8)\/q)**29 assuming q is positive.\nAnswer: q**(-175711\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5830342.5 and 13?\nAnswer: 5830355.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24271\/9 + 2697. Which is the nearest to 0.1? (a) 3\/4 (b) q (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*d**5 - 11*d**5 - 5*d**5 - d**5 - 3*d**5 + 3*d**5 - d**5 - 5*d**5 + 4*d**5 + 2*d + 2*d**5 - 2*d + (-4 - 2*d + 4)*(-2*d**4 + 0 + 0) + d**5 + 0 + 0.\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -24. Let a = v + 29. Let o = -16.9 + a. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z + 332. What is v(80)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-22)*(-792)\/(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 375573636 divided by -93893409\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 4*r**2. Let a be g(-4). Let t(z) = z + 14. Does 7 divide t(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -0.5, 73, -921 in ascending order.\nAnswer: -921, -4, -0.5, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + i + i + (3*i - 2*i + i)*(-4 + 3 + 0) + 0*i - 2*i + 3*i - 24*i - 10*i - 15*i + (2*i + 3*i - 3*i)*(-2 + 4 - 8).\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1938293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10889*q**3 + 10867*q**3 - 21786*q**3.\nAnswer: -30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 + 1000?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 3276?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 18*f - 16*f - l, 96*f = 97*f - l + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 + 92374*c**3.\nAnswer: -2*c**3*(c - 46187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a factor of 1345249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71723 or 6670210\/93?\nAnswer: 71723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - -2) + (-12 - -13 - 11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(136)\/(sqrt(8) - sqrt(504)\/sqrt(7)))**2.\nAnswer: -2*sqrt(17) + 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 6 + (-37 - -24)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -2. Let c = y + 2. Let s = c + 0.7. What is the nearest to 1 in -1\/3, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -194, -368, -652, -1082, -1694, -2524?\nAnswer: -3608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-99)\/3 - -1. Let u be ((-12)\/4)\/(-3) + -1. Suppose -6*b - 5*b = u. Put -2, b, c in decreasing order.\nAnswer: b, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 325, -511, -3\/4, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/344 and 83\/6450?\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-6)\/9*(50 + -44). Let f(j) = -6*j - 6. Let k(x) = 4*x + 0*x + 6 - 2. Give w*k(i) + 5*f(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.8 + 45. Which is the smallest value? (a) 0.04 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.662735 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(sqrt(304) - 4*sqrt(304)*2) - (-3 + sqrt(304)*4 - (-3 + sqrt(304) + 1 + sqrt(304))))**2.\nAnswer: 992*sqrt(19) + 4674305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 3*z**2 - 3*z - 4. Let d(c) = -c. Let l be d(2). Let p(k) = -2*k + 2. Let s be p(l). Suppose h - 5*n = s*h - 40, 3*h - 3*n = 0. Give j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 - 41546*a**2 + 216359920*a - 6239546272 = 0. What is a?\nAnswer: 29, 10372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)*m)\/m**(2\/9)*(m\/(m\/m**(2\/3)))**(-35)*(m**6\/m)\/(m\/(m**(2\/5)*m)*m)*(m*m**(-1\/11)*m)\/(m\/((m*m*m\/m**(2\/9)*m)\/m)) assuming m is positive.\nAnswer: m**(-12839\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 2. Let y(s) = 3. Let a(g) be the first derivative of -6*g + 5. Let i(z) = -3*a(z) - 5*y(z). Determine -2*i(m) - 3*v(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112175715 by 975441.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 8*y**2 - 9*y + 11. Let j be g(-9). Let u = 31 - j. Let h(l) = 1297*l + 146583. Let x be h(-113). Which is bigger: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 + 211. Let f be (m + (2 - 2))\/1. Let p = -3 + 8. Put 6, f, 0, p in increasing order.\nAnswer: f, 0, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*z - 21 = 0, -5*r - 3*z - 78647 = -78671 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 5*n + 883145 = -3*p, -883145 = -5*p - 5*n. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j - 25 = 0. Solve j*z + v - 4*v + 18 = 0, -3*z - v = 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2582 and 149.\nAnswer: 384718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(81))\/sqrt(3).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 11 - 11)*(0 + 0 + 1)*(265*m**2 - 172*m**2 + 188*m**2 + (m - 3*m + 3*m)*(5*m + m - 4*m)).\nAnswer: 1415*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 + 1564*i - 1046144 = 0. What is i?\nAnswer: -743, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 26 + 33 - 15 + 23 to the form n*q + j and give j.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -2*y**3\/3 + 36*y**2 + 139*y + 73. Let p be u(35). What is the highest common divisor of 33 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.005, -31, -5, 2\/23, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12788 + 12814. Solve -m*a - 24 = -30*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -219 + 153. Let g be (q\/(-56)*(-56)\/21)\/(-4). Let k = 85\/28 - g. Which is smaller: k or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12789 + 26681. Let q = z - 13892.230009. Let c = 0.23 + q. What is c rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.054 + -0.054. What is the closest to p in 0.2, 36, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/15 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/(-27) - -11)*(-7)\/(-12)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l\/l**(-18\/5)*l*l)))\/l)**(-5\/12)*(l*l*l**(1\/6)*l)\/l*l*l*l**(16\/5) assuming l is positive.\nAnswer: l**(109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z + 0*z + 6*z + 13 - 3*z. Let g be x(10). Let q(u) = 6*u + 10. What is the units digit of q(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2965)\/(-70) - (-15)\/(-42)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 16 = 5*o, 0 = -2*o - 4*i + 4 - 12. Let w = -0.1 + -3.9. Which is the second smallest value? (a) w (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 + 0 - -6 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351368635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1 (c) -9 (d) -8.6 (e) -2\/5 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 4*r**2 + 16*r**3 - 7*r - 5*r**2 - 14*r**3 + 0*r**2 to c + d*r**3 + z*r + o*r**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17+-1374378\nAnswer: -1374395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6140 + 22669 = 705*i - 24593 - 17098 for i.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*o**2 - 69*o**2 - 12*o**2 - 2*o + 2*o**2 - 3*o**2 - o**2 - 2*o - 2*o**2 + 2*o + (-2*o + 2*o + o)*(-2*o + 3*o - 2*o) as i + f*o + m*o**2 and give m.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (57\/(-266))\/(4\/(-8))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -19*l + 1087. Let x(y) = -7*y + 3. Let w be x(5). Let p = w + l. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 - -105 - (10 - -15)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -534183370 rounded to the nearest one million?\nAnswer: -534000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3446.0002367 - 3446. What is v rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1355\/2 + 654. What is the common denominator of z and 119\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -136*c + 1088. Let a be y(8). Factor a - 2*m - 1\/6*m**2.\nAnswer: -m*(m + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-10))\/(6\/(-30)). Suppose h*c + 4*k = 1 + 41, -42 = -3*c + 2*k. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -27, 5497 in increasing order.\nAnswer: -27, 16, 5497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25714 - 3488. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 4*c**2 + 7*c - 9. Let i be q(5). Solve -4*g = -3*g - 2*v + i, -4*g + 14 = -2*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2027358 and 4897.\nAnswer: 2027358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29295\/(-2325)*(-10)\/12)\/((-21)\/(-28)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -11\/60*t**5 - 3*t - 4\/3*t**2 + 0 + 2\/15*t**6 - 23\/18*t**4 + 5\/126*t**7 - 2*t**3. Solve l(d) = 0 for d.\nAnswer: -2, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/7 + 14462\/98. Let b be (-2)\/8 - h\/(-252). Suppose -z + 1 + 6 = 3*k, -2*z = -2*k + 18. Put 2\/11, z, b, 6 in descending order.\nAnswer: 6, b, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + ((-39)\/(-26) - 1)*29024?\nAnswer: 89, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*l - j, 62 = -4*l + 4*j + 46. Let q = 0.7 - 0.4. Let p = -1.1 - -5.1. Which is the third smallest value? (a) p (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277*r**4*u**3 - 4*r**2*u**3 + 6*r - 2*u**3 wrt r?\nAnswer: -6648*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31651, -126622, -284913, -506524, -791455, -1139706, -1551277?\nAnswer: -2026168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.917328599 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 103. Suppose -d - 69 = -o, 2*o = -2*d - 85 + 207. Let x = o + b. Solve 3*n - x = -8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-34)\/16)\/(8\/48). Let x = -13 - r. Let d(t) = t**3 - 4*t**2 + 4*t - 2. Let u be d(2). Which is the second biggest value? (a) x (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.9. Let w = -8.1 - -8. Let s = 0.1 + w. Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00928 plus -47.314?\nAnswer: -47.32328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 + 210. Suppose 5*u + 66 = s. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003206 to 6 decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 6\/(-4))\/(10\/(3320\/(-5978)) + 18)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*o + 64, -3*c = -c. Suppose -28 = -8*m + m. Suppose 0 = m*f + a - 236, -5*f = -2*f - 4*a - 196. What is the remainder when f is divided by o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t**3 - t + 1. Let p(m) be the second derivative of 5*m**5\/2 - m**3\/3 + m**2 - 2765*m - 1. Calculate -8*l(k) + 3*p(k).\nAnswer: 14*k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -42.046 (b) 0.11 (c) 1\/10 (d) -6 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 6*c + 2. Let i be l(6). Let r = 4203 - 4198. Let g(t) = -t - 2. Let f be g(-4). Solve o - i*p - r = -p, o = f*p + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ilfrplildrflpdd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151962446 and 18999?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -s + 49 - 58, 5*a + 10 = -4*s. Let h = 25 + -26. Let x = 0 - 2. Sort x, h, a, 1.\nAnswer: x, h, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0 + 1. Suppose 5*u - 46 = -4*w, 10*u + 5*w - 14 = 11*u. Solve d - u*d - f = -3*s, -2*d = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 140. Let z(v) be the second derivative of -v**3\/3 + v - 644. Give z(n(i)).\nAnswer: -2*i + 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101028 is divided by 16750.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 519 = -2*h, 4*h + j = 3*h + 263. Suppose 0 = 2*s - h - 26. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 24.\nAnswer: -29\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 101. Suppose 18*f - y*f + 350 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3852*r**6 + 8*r**5 + 2*r**4 + 13*r**2 - 447*r + 33?\nAnswer: -462240*r**3 + 480*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 - y - 71. Let s(k) = 6*k**2 + k + 70. Let t = -2 + -4. Let x(j) = t*s(j) - 7*u(j). Is x(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -15 + 31 - 16 + 2*w. Let s(n) = 3*n. Determine k(s(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y, -2*v = 2*y + 15 + 11. Let z = v + 13. Let k(f) be the first derivative of -f**3\/3 - 7*f**2\/2 - 4*f - 2. Give k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 27*b**2 - 5671*b - 87. What is o(-90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17868.506 - -34.494. Let k = z + -17900.9966. Let u = k - 2. Round u to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + 2.96. Is -3\/2 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 8. Let t(u) = 2*u - 17. Suppose -5*q + 0 = -5. Let n(v) = 7*v - 1. Let c be n(q). What is c*t(s) - 13*m(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 (base 7) in base 15?\nAnswer: ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1322 by -5.\nAnswer: -1322\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = 0, 4*w + 3*s - 162 = 3*w. Suppose -5*u + w = 62. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/28)\/(-6))\/(10\/14)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -253*m - 6354. Calculate c(-25).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 21*k**3 + 8*k**2 - 8*k. Let d(o) = -14*o**3 - 5*o**2 + 5*o. What is -8*d(v) - 5*y(v)?\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/16 and (-381)\/(-341) + -3 + (-155)\/(-55).\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686917?\nAnswer: 1277, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -108, -410, -906, -1590, -2456, -3498?\n\"Answer: h**3 - 103*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 100*v**5 + 1560*v**4 + 9184*v**3 + 25920*v**2 + 35392*v + 18816 = 0.\nAnswer: -6, -14\/5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18040*b**5 - 4*b**3 - 26971*b**2 wrt b.\nAnswer: -1082400*b**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.063268 - 0.03622134.\nAnswer: -0.09948934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-48)*0)\/(4\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2732511837.\nAnswer: 3, 11, 73, 373, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4 + 8*i + i + 0 + i**2. Let j(z) = -z - 1. Let n(t) = -2*j(t) + k(t). What is the units digit of n(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135950226 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 + 2072*u**2\/3 - 180256*u + 710016.\nAnswer: -2*(u - 516)**2*(u - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217619134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = y, -a - 4*y - 6 = -0*a. Suppose 4*v = -3*s + 49, -3*s + a*v = 2*s - 125. What is the highest common divisor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 652, 1300, 1950, 2602?\nAnswer: 3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let n = -372 - -367. Let z = 11 - 13. Let x(f) = f. Determine n*x(i) + z*a(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**6 - 12*v - 42*v**2 + 36*v**2 - 55*v**3 + 2*v + 0*v + v wrt v?\nAnswer: -240*v**3 - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 75*a**3 - 9 + 2 - 1.\nAnswer: 75*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - g**2 + g - 2. Let a be z(2). Suppose -5*p + 379 = a*h, -5*h = -4*p - 5 + 300. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + j. Let z be t(-1). Let x be (7\/(-20))\/((-24)\/96). Is x greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -569, -5, -3, -64, 1, 4 in descending order.\nAnswer: 4, 1, -3, -5, -64, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**3\/3 - 293. Let k(z) = -3*z - 155. Calculate k(w(x)).\nAnswer: -3*x**2 - 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let t = -0.4 - w. Which is the nearest to -1? (a) 0.4 (b) t (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 x when four letters picked without replacement from {x: 4, l: 2, y: 1, m: 4, b: 3, a: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 348?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/34445367 and 25\/24?\nAnswer: 275562936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4 + sqrt(72)*2)**2 + 0 - (4 + 1*sqrt(72)*5)**2) + -2.\nAnswer: 576*sqrt(2) + 6046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 2:10 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*c - 9 - 14 = 0, -3 = -2*o - c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -114, -1, -3, -8394, 7 in ascending order.\nAnswer: -8394, -114, -3, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p. Let s(x) = 3. Let a(d) = 2*d - 1. Let v(t) = 3*a(t) + s(t). Let g = 8 - 2. Determine g*v(j) - 13*r(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 365*q**2\/2 + 2868*q + 8568.\nAnswer: (q + 4)*(q + 12)*(q + 714)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261247280?\nAnswer: 2, 3, 5, 73, 193, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -4*p + 2*j, -j + 117 = 3*p + 2*j. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 50, 70, 90, 110, 130?\n\"Answer: 20*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 3, -10.\nAnswer: -10, 3, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -392*m**6*x - m**4*q*x - 2*m**2*q + 6*m**2*x + m**2 - 216*q*x wrt m?\nAnswer: -47040*m**3*x - 24*m*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(9\/7)*p*p*p)**(-15\/8)\/(p**(-3\/4)\/(p\/(p*p**(-6)))) assuming p is positive.\nAnswer: p**(-177\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -130, -18, 7 in increasing order.\nAnswer: -130, -18, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 11*w - 7. Give i(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -7\/4, -3\/5, -4\/29, 113\/6?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765\/2824*(-2)\/10?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -795589\/6 + 501245\/4. Let h = d + 7291. What is the common denominator of 47\/12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + -61. Let g be (-2)\/15 - m\/15. Solve 0 = 3*c + g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9549 = -1292*d - 13707 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/2, 0.5436, 5, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, p: 8}. Give prob of picking 2 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6*i**2 - 20*i + 18. Let o be a(8). Find the common denominator of 67\/186 and 379\/o + 66\/(-154).\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y - y**3 + 7 + 9*y - y**3 - 2*y**2 as m*y**3 + k + h*y + o*y**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d**2 + 17*d - 9. Let h(y) = -9*y**2 + 8*y - 4. Let m(x) = -9*h(x) + 4*v(x). What is the second derivative of m(s) wrt s?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(39)\/(sqrt(3)*-1) - sqrt(13) - sqrt(13))*-2*-3 - (-2*(sqrt(13) + sqrt(156)\/sqrt(12)) + sqrt(637)*-5)) + -2)**2.\nAnswer: -84*sqrt(13) + 5737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 8*r**5\/5 + r**4 - 44*r**3\/3 + 22*r**2 - 12*r + 73. Factor j(q).\nAnswer: 4*(q - 1)**2*(q + 3)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 1 + 15*i - 7*i + 26*i as p*i + f and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.336, -3?\nAnswer: 0.336","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -28 - 22. Solve 3*t + 25 = 5*l, -3*l + l = -t - b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 5923?\nAnswer: 5928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/2)\/h)*h**2)\/(h**(-2\/19)*(h*h*h**(-1\/12)\/h*h*h)\/h) assuming h is positive.\nAnswer: h**(613\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 13*x**2 + 30*x + 5. Let i be q(-15). Let w be 6\/(-10) + (-2)\/(-5). Which is the closest to -1? (a) 2 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7894*g - 16364*g + 8470*g - 9*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, 456, 457?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 4, k: 2, x: 2, f: 1, g: 4}. Give prob of sequence xv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 s when three letters picked without replacement from fgpffsgfsfpsjjj.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658.\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18143960969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0532 + -3.2732. Let k = l + 31.62. What is k rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -63. Solve 0 = -z*k + 10 - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-210)*4*9\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. Sort -2, 0.4, f in ascending order.\nAnswer: -2, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 - 14*f. Let j be l(-6). Let q = -49 - j. What is the remainder when 153 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.13 - 8.43. Let b be -4 + 1 - (-14)\/4. What is the biggest value in t, b, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*n = -108, b - 3*b - 3*n + 96 = 0. Let s = b - 18. Let m = 30 + -13. Calculate the remainder when s is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118900, -237798, -356696, -475594?\nAnswer: -594492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + u**2 - 5*u**2 - 5*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18731760186 and 0.021.\nAnswer: 18731760186.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 175639976, 175639974, 175639970, 175639964, 175639956, 175639946?\n\"Answer: -p**2 + p + 175639976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 - 2*t + 2. Let b be u(4). Let v(d) = 2*d - 4. What is the tens digit of v(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1307808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4071 is divided by 170?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x. Let o(w) = 155*w - 125. Let r(n) = -o(n) - 2*y(n). What is the units digit of r(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - s + 10 = -34, 4*b + 5*s = 177. Calculate the remainder when 137 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 5ac6?\nAnswer: 5ac4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3742, -1, 44, 0 in descending order.\nAnswer: 3742, 44, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292 + 86. Let d = a + 206.1394. Round d to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 17. Let u(z) = 2*z + 16. Let r(g) = -6*n(g) - 7*u(g). What is the derivative of r(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggenggngegee. What is prob of picking 2 g and 1 n?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103103 and 60188359.\nAnswer: 782448667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25619 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -22.\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.1. Let h be (-15)\/(-6) + (-171)\/30 + 4. Let l = 0.246 - 0.346. Which is the closest to q? (a) 0 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2106.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(50))**2 - sqrt(2))*6*5 + 2 - ((sqrt(22) - (sqrt(22) - sqrt(22)*1))*6)\/(sqrt(275)*-1 - sqrt(275)).\nAnswer: -2998 - 147*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15566\/121639 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 80 = 41 + 49, -4*r = -3*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1844?\nAnswer: 9220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-2 - 1) + 12\/(-80)*38.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 139*w**2 - 2057*w - 82179?\nAnswer: 278*w - 2057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 = 18. Let w be (10\/15 - 1)*d. What is the smallest value in w, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*30462*(-2 - (-182)\/93). Let p = 1310 + z. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 314 = 4*z - 54, -4*l - 5*z + 278 = 0. Suppose -t - 4*a = -l, -58 = -t - 2*a + 9. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21634 + 8?\nAnswer: -21625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(1216) - (sqrt(1216) - (sqrt(1216)*-3 + 0 + sqrt(1216))))**2).\nAnswer: -14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 8 - 7 - 7*b + 13*b - 4*b**2 - b to the form d*b**2 + w + q*b**3 + c*b and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -0.041?\nAnswer: -0.0533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -2 (c) 4\/3 (d) -2\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2826.6 + -2827. Which is bigger: -144 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or 4275?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.947621 and 332050548.\nAnswer: 332050549.947621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5 + 48039*a**4 + 9*a**3 - 144111*a**2 - 96078*a = 0.\nAnswer: -1, 0, 2, 16013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**0)\/k**7)**41)**31 assuming k is positive.\nAnswer: k**(-7626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3176)\/16674*3*2\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 1\/360*n**6 + 0*n**2 - n**3 - 1\/120*n**5 + 3*n - 1\/12*n**4 + 0. Let i(m) be the second derivative of f(m). Factor i(b).\nAnswer: (b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15564 - 15559. Let r(y) = -15*y**2 + 7*y - 4. Let g(u) = 7*u**2 - 3*u + 2. Calculate p*g(d) + 2*r(d).\nAnswer: 5*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3 - 1503*w**2 + 6025*w - 4521 = 0. Calculate w.\nAnswer: -1507, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346, 688, 1030, 1372?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + (-6)\/18. Let j be (s - -3) + (1 - 49). Let z be (702\/j)\/(3\/(-10)). Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/34 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119.4 + -119. Which is the second smallest value? (a) -2 (b) 2\/7 (c) -8\/7 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3*1*-9. Suppose -4*r - 55 = -2*s - 7, -s - 36 = 4*r. Let y(p) = p**2 + 9*p + 2. Let m be y(r). Solve 4*n - n = 4*a - 20, -g*n = m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*o - 9 + 22, 0 = 4*s - 2*o - 8. Let r(m) = 4*m + 3*m - 4*m - 2*m. Let d(b) = 2*b + 2. What is s*d(a) - 4*r(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-13) - 4824\/13. Suppose 2*n - 3 + 0 = z, 0 = n - z. Is 6 a factor of 1\/n - j\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.022528 and 0.1054.\nAnswer: 0.0023744512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*n - 8\/7*n**2 + 2\/7.\nAnswer: -2*(n + 1)*(4*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/3)*r\/(r**(-5)\/r))\/(r*r\/(r*r**(2\/27))*r**1)*(r**(-3)*r\/((r\/((r*(r*((r**9\/r)\/r)\/r)\/r)\/r))\/r))**(-16) assuming r is positive.\nAnswer: r**(-1546\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(2\/1)*(110 + -109). Suppose 0 + 0*y + 1\/9*y**h = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127076761?\nAnswer: 7, 4019, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-8)\/u))**(2\/23) assuming u is positive.\nAnswer: u**(22\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 25*o + 18. Give d(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 17192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 11, o: 2}. What is prob of picking 1 d and 1 o?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 9*v - 9*v + (-2*v - v + 2*v)*(4 - 4 - 3*v) + (v + 0*v + 0*v)*(v - 3 + 3) + 4*v**2 + 2*v**2 - 5*v**2 - 2*v**2 + 2*v**2 + 3*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jyyyyyyyjyjyjyjyyyy.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a week in minutes?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -75.3 * -94.8\nAnswer: 7138.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32435658255323 + -1\nAnswer: -32435658255324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.55 - -0.05. Let q = -1.5 + n. Sort q, 0.4, -5 in decreasing order.\nAnswer: 0.4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 5*q - 32, 3*c - 4*q + 177 - 207 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**5 - 12316*n**4 - 74068*n**3 + 86380*n**2 = 0. What is n?\nAnswer: -7, 0, 1, 3085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -b + 6*b, -3*b - 4*r = 1. Put -5, 8, b, -3 in descending order.\nAnswer: 8, b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-2))\/((2 + 3)\/670).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138769353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 - 13*j**2 + 6*j - 8. Let k(d) = -5*d**3 - 14*d**2 + 5*d - 7. Let x(l) = -3*h(l) + 2*k(l). Give x(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-195)\/26)\/6\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/9 + 4*s + 34\/9 = 0. What is s?\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -7292901\nAnswer: -729290.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 136*t - 50. Determine s(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1044012 + 5?\nAnswer: 1044021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*i**5 - 8*i**5 + i**5 + (i**2 - 3*i**2 + i**2)*(-i**3 - i**3 + 3*i**3).\nAnswer: 41*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1229519.46121 + -0.1.\nAnswer: -1229519.56121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 49768*v + 49729. Determine m(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Suppose -k + 48 = p*k. Let g = 20 - k. Solve 0 = -3*j + j + g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 6104 + 67236 = 0. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*-2 + sqrt(539))**2 - (-4*(1 + sqrt(11)))**2) + 1 - -1*3*(sqrt(132)*1)\/sqrt(12).\nAnswer: -29*sqrt(11) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 3:54 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**0*z)))**(-37)\/((z\/z**(-1\/4))\/z)**28)**(2\/7) assuming z is positive.\nAnswer: z**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from kkkkdakdakkkdkk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = 604*o - 585*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3 + b**3 + 9766*b**2 - 99*b - 158*b - 9640*b**2 + 0*b**3 wrt b?\nAnswer: 18*b + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*u - u + 16*u)*(4 - 5 + 2)*(-4 - 4*u + 4) as p*u + q + a*u**2 and give a.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3. Let w(a) = -3*a**4 - 8*a**3. Let g(l) = -5*h(l) - w(l). Factor g(s).\nAnswer: 3*s**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*u = 95*u - 24. Suppose 5*d - o = u, 0 = -2*d + 5*d - o - 8. Let m = 45 + -20. Solve -3*a + m = d*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96393, 96554, 96803, 97134, 97541, 98018, 98559, 99158?\n\"Answer: -n**3 + 50*n**2 + 18*n + 96326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 9*y**2 + 6*y + 19. Let b be n(8). Sort 4, -2, -6, b in decreasing order.\nAnswer: 4, b, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**7*d)*(d*d*d*(d**(-2\/33)*d)\/d*d)\/d*d assuming d is positive.\nAnswer: d**(-134\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 147 = -10*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 56*i**2 + 11*i + 27. Let o(u) = 6*u + 34. Let c be o(-4). Is n(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -790 + -3788?\nAnswer: -4578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in -2, -289\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/2)\/((-2)\/(-4)). Let i(f) = 11 - 7*f + o*f + 3*f - 13. Let s(p) = -2*p + 4. Determine -5*i(x) - 2*s(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27158979 to the power of 1\/2, to the nearest integer?\nAnswer: 5211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/25340 - -71441053\/25340. Let o = -3294 + 6103. Let a = o - n. What is the common denominator of -23\/8 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*x - 18 = 291*x. Let w = -2.18 + -0.22. Let t = -0.4 - w. Which is the closest to -0.1? (a) t (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8234064 and 611056.\nAnswer: 3376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70917*m**2 + 88930?\nAnswer: -141834*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118860 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 29*j**2 + 13*j - 14. Let z be q(-14). Solve 2*w + 2*m - 6 = z, 2*w = -3*m + 4*m - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 782217 by 333.\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1, -16, 3 in ascending order.\nAnswer: -16, -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185974?\nAnswer: 2, 92987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1. Let v(i) = -3*i + 16. What is -6*o(p) - v(p)?\nAnswer: 3*p - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86640 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y + 0 - 8*y + 1 + 13*y + 4*y**2. Let z(p) = -5*p**2 - 2*p. Calculate 3*g(t) + 2*z(t).\nAnswer: 2*t**2 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 201 + 21. Let u(y) = y**2 + 5*y + 4. Let q be u(-5). Suppose -b - k + 60 = q*k, -3*b + l = k. What is the greatest common divisor of b and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, g: 1, i: 2, m: 1, a: 3, v: 1}. Give prob of sequence jm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 + 0.88. Let g = -1.12 + a. What is g rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -38. Let o be 8\/p*(10\/4 - 4). What is the closest to -8 in -0.5, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 60. Suppose 3*z = -4*y - 3, 5*y + 2*z + 1 = z. Solve j = -y*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -13. Let u = 3 + o. Solve 10*l + u = 12*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -z - 0 - 1, -5*v + 20 = 0. Suppose -n + 5*x - 7 = -44, -z*x = 5*n - 73. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + m = -0 - 8, -m - 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.4 - 10.87. What is the second smallest value in g, 0.3, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -167 - 92?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 5.8. Let z(g) = 7*g + 32. Let q be z(-4). Which is the nearest to -1\/2? (a) x (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c + 988. What is s(28)?\nAnswer: 1408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0*q\/q**(-7))\/(q\/(q\/(q**6*q))*q**(-6)\/q))\/(((q**(1\/4)*q)\/q)**(-1\/47)\/(q*q**1*q*q*q*q*q\/((q**4\/q)\/q)*q*q*q)) assuming q is positive.\nAnswer: q**(3197\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/5 + 641102*i\/5 - 4487616\/5 = 0.\nAnswer: 7, 320544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**3 + 622*d**2 - 15 - d - 622*d**2 wrt d?\nAnswer: -3*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (93\/4*2)\/((-1)\/(-2)). What is the highest common factor of u and 868?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/p**2*p)**(-41)\/(p*p**(-1\/3)*p)**(-27))**(-1\/5))**(-2\/31) assuming p is positive.\nAnswer: p**(-74\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -125.3. Let k = o + -6.3. Which is the biggest value? (a) -7 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 476*b - 3287. Let w be h(-7). Suppose -11 = -5*o - 2*r, -4*o - 5*r + 1 = -1. Sort o, 0, w, 1.\nAnswer: w, 0, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Let z = 0 + 2. Factor l**2 - z*l**3 + 3*l**4 + 4*l**3 - 2*l**t.\nAnswer: l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**3 + 4*u**2 - u - 13. What is the remainder when 393 is divided by t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 7*s**2 + 10*s - 4. Let m be q(8). Let d be 3\/((-1)\/11*1). Let v = m - d. Round v to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u + 3. Let t(h) = h**2 - 174*h + 1321. Let x be t(166). Determine z(x).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let v = 13 + 0. Let b(t) be the second derivative of 0 - 6*t - 1\/3*t**3 + 0*t**2. Determine v*s(o) + 6*b(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 18. What is the remainder when 29 is divided by z(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**2 - 12\/5*l + 3\/5*l**3 + 0.\nAnswer: 3*l*(l - 2)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 21*g**2 + 78*g - 2396. Calculate c(22).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21077 - 7*a**3 + 4*a**3 + 42227 - 21154 + 10*a**3.\nAnswer: 7*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10148717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4.5 * -6339\nAnswer: -28525.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-303)\/(-6) - (-2)\/4. Let g be t*(-1 + 21\/9). Suppose -4*a - 4*u + 25 = -3*a, -u - 32 = -2*a. What is the highest common divisor of a and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 182\/7 - (-16)\/(-2). Let f be (-4)\/12*-18 - k. What is the third biggest value in -2, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 2*x**4 + 22*x**4)*(1 - 1 + 1).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x - 2. What is the remainder when 53 is divided by b(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -161 (c) 118 (d) 0.3 (e) -539 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*i = 3*i - 198, s - i - 68 = 0. Let u = 179 + s. Suppose -3*d + u = 66. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15165 <= -15164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3829081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000813093041 to seven decimal places.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 150\/14 - 10\/14. Solve 4*k + 0*k + 30 = 2*r, -b = -3*r - k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15884?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 11:00 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -328 divided by -1\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4344278a - -6?\nAnswer: -43442784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - g**2 + g + 4. Let n be c(0). Suppose n = p + 3*x - x, -50 = 5*p - 4*x. Let j(a) = a**2 + 9 - 103*a + 55*a + 57*a. What is j(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004178687 rounded to 6 dps?\nAnswer: -0.000418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*j + 37*j + 4*j - 2*j - 2405*j**2 - 2024*j**2 wrt j?\nAnswer: -8858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0689877us?\nAnswer: 0.0000689877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 14 = -6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.085 - -3.011. Let l = k - 0.096. Put 2, l, 1, 14 in ascending order.\nAnswer: 1, 2, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10225.97+-2439.465\nAnswer: -12665.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1302 + 3?\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1788 (base 14) to base 2.\nAnswer: -1000010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 2*-2 - (-75 - -80). Let v be c - (1248\/(-40))\/13. What is y in 0 + v*y**3 + 0*y - 2\/5*y**2 + 2\/5*y**4 - 2\/5*y**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20425 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42*-1.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 30*j**2 + 134*j - 3262. Let c be w(20). Calculate the highest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -451, -905, -1359, -1813, -2267, -2721?\n\"Answer: -454*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 23*k - 54 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 3*a**2 - 7*a - 4*a**2 - 15. Let z(y) be the second derivative of -y**4\/6 - 2*y**3\/3 - 4*y**2 + 10176*y. Give -4*s(m) + 7*z(m).\nAnswer: -2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (11 - 7\/((-14)\/(-8))). Let n(x) be the third derivative of -x**6\/60 - x**5\/20 - x**4\/12 + x**3\/6 + x**2. What are the prime factors of n(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 969 and 833.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -43653\/263?\nAnswer: -43653\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 12. Let q(x) = 3*x - 35. Let l(v) = 11*c(v) - 4*q(v). Give l(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:40 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/24 and (-1 - (-173)\/44) + (76 - 78).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 221012210?\nAnswer: 221012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.427 - -0.373. What is the closest to 2 in 0.2, d, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192 (base 10) to base 12.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 < 346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -548 + 548. Let c be 1 - 3\/(-6)*26. Suppose -c*x + 36 + 20 = k. Solve 5*s = 6*s - 5, x*z + 5*s - 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*x + 77*x + 121957. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:28 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*j + 1 - 5, -j - 5*c = 18. Suppose 4*a - j*y - 37 = 31, 4*y = -3*a + 62. Let s = a + -14. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1632 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + -3*(-1*sqrt(104)*1 + sqrt(104))\/sqrt(128).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -44?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -16177\/7426?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2725 divide 93165025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 41*u - 165. Let h be w(4). What is the biggest value in h, -25, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x. Let n = 2 - x. Let c = n - 0. Solve -u + 2 = c*w + 11, -2*w - 5*u - 21 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52101 is divided by 160?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9847635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1906718 kilometers in nanometers?\nAnswer: 190671800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2345*u + 59 - 59 - 2355*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3560, 14219, 31988, 56867, 88856?\nAnswer: 127955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k - 12, 0 = -4*o + k - 248. Let b = o + 105. What is the greatest common factor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 3. Let k be a(-1). Solve -f - 1 = -3*t - t, 0 = t - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -34278.51133.\nAnswer: 34278.61133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19.8111 times -0.2\nAnswer: -3.96222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 + 5047 - 384*z**3 + 1180*z**2 - 2525 - 792*z - 2522 = 0. What is z?\nAnswer: -99, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**5 + 90*k**4 - 78*k**3 - 264*k**2 + 81*k + 174 = 0.\nAnswer: -1, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-8 - -4)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*y - 84, -3*k + 17*y = 18*y - 147. Suppose -3*a + 27 = -0. What is the highest common factor of k and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -125 in 1\/98, 8\/7, 2\/3?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + 28*f - 18. Let a be m(-10). Suppose -74 = a*w - 68. Sort 13, w, 5 in descending order.\nAnswer: 13, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/7)\/f*(f\/f**(1\/2))\/f)\/((f*f*f**6)\/((f*f**(-1)\/f)\/f))*(f*f*f**(-1\/7)*f)\/f*f**3*(f*f**(-1\/4)\/f)**(-2\/111) assuming f is positive.\nAnswer: f**(-610\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.86982 rounded to one dp?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15029 - -15050. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 3*n**2 + 3. Let j be r(3). Suppose -i + 13 = -o + 2, -30 = -j*i + 2*o. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -178*n - 1. Let r(g) = -347*g - 2. Give -3*r(a) + 5*t(a).\nAnswer: 151*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352233915.\nAnswer: 3, 5, 11, 2134751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 23 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 20977.0134 hours?\nAnswer: 124.863175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**2\/4 + 17*u\/2 - 11\/4 = 0.\nAnswer: 1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15334*b + 94. Let a(m) = -2557*m + 15. What is -25*a(i) + 4*p(i)?\nAnswer: 2589*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 35.9. Let p = -5 + 7. Sort f, p, 4.\nAnswer: f, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w + 5*o - 89 = -71*w + 43*w, -12*o + 108 = -3*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3, 0, -1\/6 in descending order.\nAnswer: 41, 3, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 71*h**2 + 1713*h - 199. Determine r(-90).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.12, -6783, 4, 21, 0.02 in decreasing order.\nAnswer: 21, 4, 2, 0.12, 0.02, -6783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -5, 0.21, -2, -0.2.\nAnswer: -5, -2, -3\/5, -0.2, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 2760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 141*m - 132*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -370*x**2 - 8*x - 31. Let v(b) = -93*b**2 - 2*b - 7. Determine 2*m(q) - 9*v(q).\nAnswer: 97*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -138. Suppose 10*h - b + 28 = 0. Solve -5*q = -o - 5, -q - 2*o - h = -0*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/6 and (-1)\/(-40)*(-8350)\/210 - -1?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2397551 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2)\/(t**(-1\/7)*t))\/((t\/(t*t\/t**(-6)))\/t**(-3))*(t*t**3*t*t*t*t**(1\/3))\/(t\/t**1*t*t**0) assuming t is positive.\nAnswer: t**(461\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1551 and -423210?\nAnswer: 656398710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 715254.2mg?\nAnswer: 0.0007152542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 3 - 0) + 3 + 9 + -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38.769673 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -17*u - 90. What is d(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-5)\/7) + 3055\/35. Suppose -3*w = 72 - y. Solve 0 = 4*n - 5*n + 4*f - 3, 0 = -w*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-7)\/(-1645))*-1. Let b = 255 - -103. Let g = b + k. List the prime factors of g.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 - 3*f**3 + 5*f**3 - 2*f**3 + 0*f**2 + 0*f**2 + (-7*f + 3*f + 2*f)*(-5*f**2 + 4*f**2 - f**2) + 40*f**2 + 5*f + 3*f**3 - 40*f**2.\nAnswer: 11*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c + 18*c - 1 + 1. Let v(i) = 5*i**2. What is v(r(m))?\nAnswer: 605*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*c + 6 = 0, k + 281*c - 279*c = 0. Let o = -14 + 2. Let n be -4 + ((-32)\/o)\/(k\/33297). Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/31)*b\/(b\/(b\/(b\/(b*(b\/(b*b\/(b**4\/b))*b)\/b)))))**(-3\/16))**(6\/5) assuming b is positive.\nAnswer: b**(-171\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10448609077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 16 = 10*g, 4*f + 36 = 4*g. Let z(k) = 2*k - 3. Let t(w) = w - 1. What is f*t(x) + 3*z(x)?\nAnswer: x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (8328\/5)\/((-204)\/(-1360)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 36*w + 150. Calculate the remainder when b(-14) is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4635225.02 + -0.08477.\nAnswer: 4635224.93523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 214614551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2461 + -2468. Let n = 3 + -10. Is 8 a factor of (-328)\/p - ((-27)\/n - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65732 + -20?\nAnswer: -65752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let v(z) = -4*z - 8. Let n(p) = -5*p - 8. Let o(r) = 3*n(r) - 4*v(r). Give o(f(b)).\nAnswer: -2*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40547921503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 74405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + -6 + 50 + -3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = -5*x, 2*x = 5*k + 8 + 7. Let u = x + 1. Let n(p) = 3*p**3. Let t be n(u). Solve -1 = -t*y - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 23*t**2 + 901*t + 17839. Give s(-13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - 3*k**2 + k)*(-k - k - 2*k) + 257*k**3 - 490*k**3 + 261*k**3 + k + 2*k**3 - k)*(-2*k**2 + 0*k + 0*k).\nAnswer: -84*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 21*s**4 + 5*s + 40*s**3 - s + 10*s**4 - 5*s - 1 + 10*s**4 as n*s + c*s**2 + t + x*s**4 + l*s**3 and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**2 - 2*y - 2*y**4 - 291 + 291 to h*y + q*y**2 + x*y**3 + w + l*y**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-129)\/(-1204))\/((253\/(-231))\/23)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/544 + 10019\/2720. Let k = f - -1\/20. Find the common denominator of -25\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -12*z**3 - 80*z**2 + 295*z - 214. Give x(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(85) + 1*sqrt(85)*-6)\/((sqrt(90)\/sqrt(3))\/sqrt(6)) + (sqrt(204)\/(sqrt(36)\/sqrt(3)*-5) - sqrt(51)\/(1*sqrt(432))).\nAnswer: -317*sqrt(17)\/60 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r**3 - 12*r**2 - 11*r - 6. Let y(z) = 9*z**3 + 11*z**2 + 9*z + 5. Give 5*c(k) + 6*y(k).\nAnswer: 9*k**3 + 6*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in -4\/17, 3541, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2. Let j(f) = -3815*f. What is v(j(w))?\nAnswer: -29108450*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 0.1. Let y = 192\/385 - 2498\/3465. Which is the nearest to -1? (a) -0.3 (b) y (c) 1\/2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3944 + 4043 + p - 7987.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + 549\/63. Let u(i) = -i**2 + 17*i - 4. Let y be u(x). Suppose -y = -3*c - 8. Solve o = -o + 4*r - 8, 5*o - 4*r = -c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -31\/68405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 0)*(-16*n - 4*n - 39*n)*(3*n**4 - 7*n**4 + 2*n**4 + (0 + 2 + 2)*(-5*n**4 + 0*n**4 - n**4)).\nAnswer: -6136*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2376 and 35\/2937?\nAnswer: 211464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1266 = -41*w + 1594 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 2 (c) 861 (d) -1\/6 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -3*v**4\/4 + 8*v - 1. Differentiate c(o) with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 10*j**2 + 4*j - 110. Let y be u(9). Solve 9*k + 2 + y = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10873\/2 - 5434. Let b(j) be the first derivative of -19 + n*j**2 - j - 1\/3*j**3. Calculate b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.05 (c) 36 (d) 0.3 (e) 4\/15 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 9:04 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a**4 - 2*a)*(-14457 - 2199 - 6030 + 3098 - 5680).\nAnswer: 50536*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f**2 + 165*f + 726. Calculate u(-5).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 45\/1664, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**5\/90 + 2*u**4\/27 - 5*u**3\/27 + 2*u**2\/9 - 15*u - 1. Suppose p(f) = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*c**5 + 111399*c**4 - 368988*c**2 + 49*c.\nAnswer: -840*c**2 + 2673576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158 and 4898.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2220)\/750)\/(96\/2400)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274*l + 274*l - 281*l**3)*(2*l - 2*l - l**2).\nAnswer: 281*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3 - 17243876*j**2 - 37168890194040*j + 74337849363600 = 0.\nAnswer: -4310970, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -5*v**2 - 4. Let o(r) = 2*r. Give y(o(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 37*w**2 - 36*w - 152. Determine a(36).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -6, -10, 5076, 19 in descending order.\nAnswer: 5076, 19, 5, 0, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 11*i**2 + 11. Let t be r(1). Let d(k) be the first derivative of 1\/2*k**2 - 1\/2*k**4 - 1\/3*k**3 + 5 - k. What is d(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(76) + 2*sqrt(76)*5))\/(sqrt(24)\/(3*sqrt(6)*4)).\nAnswer: -528*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 58 * -14.84\nAnswer: -860.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrprrprrrrr. Give prob of picking 2 r and 1 p.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by 1049302.\nAnswer: 81\/1049302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -6, 87, 286, 627, 1146, 1879, 2862?\nAnswer: 4131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34257 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -90 + 21 - -208.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15552 by -8.\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 1, c: 1}. What is prob of sequence ln?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10698, -21263, -31454, -41085, -49970?\n\"Answer: 31*b**3 + b**2 - 10785*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 + -30557?\nAnswer: -30481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1269062.18\nAnswer: 253812.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -6, -134, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = 2*w, -w + 9 = 3*g - 2*w. Suppose -g*h + 0*q = 3*q + 3, 4 = 5*h - 4*q. Let o = -2 - -18. Solve h = 3*y + y - o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126777 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: Calculate 22 + 5 + -11 + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.1. Suppose -3*o - 5*k + 2690 = 2*o, -2*o = -2*k - 1072. Let i = o + -12349\/23. What is the nearest to l in 0.4, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/597216 and -113\/288.\nAnswer: 1791648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 372621 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*u + 8*u = 360, 5*q = -4*u + 360. What is the lowest common multiple of 20 and (2\/6)\/(4\/q)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 10016950*a + 10016197*a + 25.\nAnswer: -753*a + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**3 + 70*u**2 - 27*u - 18. What is a(-10)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*p - 2\/7*p**2 - 2\/7*p**3 + 0.\nAnswer: -2*p*(p - 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, 125618 in increasing order.\nAnswer: -10, 5, 125618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twdqp. Give prob of sequence wp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -1\/24*u**4 - 1\/6*u**3 + 0*u**2 - 3*u + 0. Factor n(p).\nAnswer: -p*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 - k**2 - 2*k + 3. Determine c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/29 in -4, 0.5, 1, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 1:28 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10103011 (base 4) to base 14.\nAnswer: -65b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.377 + 0.554. Let r = -0.176412 + c. Round r to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - d + 397 = -2*v, 3*v + 4*d + 312 = 0. Let l be (v\/(-12))\/(3\/(-2250)). Round l to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.41 + 13. Let l = -73.41 - h. Let m = l - -74.000086. What is m rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**6\/15 + 18*y**5\/25 - 16*y**4\/5 + 112*y**3\/15 - 48*y**2\/5 + 32*y\/5 - 86. What is z in o(z) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409 (base 15) to base 11.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15102 by 6.\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -3116542 and -2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - s - 5. Let i be (1 + -6)*(0 + -1). Let q be x(i). Suppose -5*d + d + q = 0. Solve -7*t - d = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 6*n**2 + 3*n - 5. Let y be d(-5). Let a be -4*(y\/2)\/(-5). Suppose 0*g = -a*s - 4*g + 26, -g - 34 = -4*s. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4316, -17345, -39094, -69563, -108752?\nAnswer: -156661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 127\/2. Let a be 3\/(-17) - (-74)\/34. Find i, given that -h*i**3 - 3\/2*i**4 + 0 + 0*i**a + 0*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-61)\/(-5)*150\/6. Suppose -175*h = -180*h + v. What is the highest common divisor of h and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m + 146 = -5*o + 33*m, 9 + 31 = 5*o + 60*m for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -22*v**4 + 2*v**3 + 18*v**2 + 2. Let b(p) = 23*p**4 - 3*p**3 - 18*p**2 - 3. Let f(y) = 2*b(y) + 3*n(y). Find the third derivative of f(u) wrt u.\nAnswer: -480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -18*c**4\/7 - 31268*c**3\/7 + 3978*c**2 + 66048*c\/7 + 6952\/7 = 0?\nAnswer: -1738, -1, -1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:50 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqqqhqqqqqqqqhqqqqhq. What is prob of sequence qqqq?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*r - 8304 = 689*r + 120*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13505 + 2345 = -9*h. Suppose -26*p = -866 - h. Calculate the greatest common factor of 27 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126010?\nAnswer: 2, 5, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/3298259 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d11 + 11c?\nAnswer: 102d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111 (base 3) to base 15.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*f + 11. Let j = -455 + 459. Differentiate -8*l**4 - f - 2*l**j + 3*l**4 - 2 with respect to l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110111 (base 2) to base 4.\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4063*i**2 - 6428 with respect to i.\nAnswer: -8126*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-1 - (-22)\/(-8)). Let d = -4.247 + 0.047. Let f = d - -1.2. Sort 1, k, f.\nAnswer: f, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927486358.\nAnswer: 2, 3, 162638131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1345 and 45.\nAnswer: 12105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, e: 2, j: 1, k: 1, q: 1, v: 6}. What is prob of sequence exxv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -36*k, b = -0*b + 4*k + 1919 - 1938 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.934 - -0.066. Let s = -679 + 721. Let q = r - s. Which is the third smallest value? (a) -0.3 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 45*a**2 + 9*a - 4. Let z be h(-2). Suppose -2*l + z = 156. Calculate the smallest common multiple of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 7*i - 13 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 28*z. Let h(o) = 166*o + 48. Let x(d) = -h(d) + 6*y(d). Give x(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -155\/6871 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6058156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(5 + 2*sqrt(117))*-5*-1 + 4)**2 + 1.\nAnswer: 387840*sqrt(13) + 3158417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 3. Let b(f) = -4*f - 5. Suppose 2*d + 3 = m, 0 = -3*d + 2*d. Give m*b(g) + 5*z(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41772733 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12*(-2 + -4)*(12 + (-1742)\/143).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.579 (b) 1 (c) 2 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + z - 10*z as v*z + p and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73 and 1264141?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 4 - 3*t + t + 0 + 0 - t + (3*t + t - 3*t)*(-3 + 1 + 3) - t + t + t.\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -269. Suppose -i - 197 = -11*u. What is the remainder when 78 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4757 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -455 + 458. Which is the third smallest value? (a) -0.048 (b) 5 (c) 0.5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-552)\/(-230))\/(((-8)\/10)\/(-2)). Let p(b) = 148*b + 345. What are the prime factors of p(g)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 84b0632?\nAnswer: 84b0634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from foddyeffysof?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5612 bigger than 84188\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g*o**2*z**2 - 726*g*o**2 - 1103*g*o*z**2 + 992*g*o + 7*o*z with respect to z.\nAnswer: -8*g*o**2*z - 2206*g*o*z + 7*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*z = 4*w + 1, -4*z + 22 = 5*w. Suppose a = w*f + 9, -3*a - 4*f = f - 5. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 22\/6)*(-2046)\/(-22165)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/6 (b) -61\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 3*y = -64, -15*y - 8 = -5*r - 14*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6295 and 0.225.\nAnswer: -6294.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8474, -8071, -7152, -5459, -2734?\n\"Answer: 43*y**3 + 102*y - 8619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1758 and 129?\nAnswer: 75594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let m(k) = -k**2 + 7*k - 6. Let u be m(7). Let g = u - -12. Let i(o) = g + o**2 - 4*o**2 - 6. Calculate r(i(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79 or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3 = -2*y + h, -4*y - 2 = 2*h. Let d be (150\/3)\/(1 - y). Solve k - d = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, -0.2, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*m + 5*m = -2, 0 = j + 2*m - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 - 90. What is the highest common divisor of 68 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 2\/7, 22?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-10 + (-4 - (12 + -35))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15526.8424 rounded to the nearest 100?\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (157 - 157 - 2*s)*(-8 + 2 - 2 + (0 + 0 + 1)*(-4 - 1 + 4) + 2 - 2 - 2) to w + u*s and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 4*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 + -5. Let n = 1.2 + -0.2. Let m = z - n. Sort m, -0.3, -1 in descending order.\nAnswer: m, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 + 2*f - 1. Let q be j(1). Solve q*r - 1 = 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1359 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*g - 357*g - 382*g - 1800 = 0 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*c + 2097 - 126 = -65*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6291904?\nAnswer: 2, 17, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4505.556 and 0.2.\nAnswer: -901.1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let q(s) = 5*s**2 - s. Let o(k) = -4*k**2 + k. Suppose 0 = 5*t + 6*y - 2*y + 14, -4*t = -5*y + 44. Let w = t + 8. Determine m*o(i) + w*q(i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 4, -1\/4, 55392\/5, 36 in descending order.\nAnswer: 55392\/5, 36, 4, -2\/21, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213383 is divided by 71121.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*18\/3. Suppose 0 = v - 12 + a. Find the common denominator of ((-78)\/v)\/(40\/(-42)) and -107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -516356 + -353?\nAnswer: -520042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 16452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o + 24. Let g be p(-8). Let h = -31 - g. Let w = h - -25. Solve f + w = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 - (-86 + 179)) + (-1 - 0 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -19*y**2 - 2. Let u(k) = -3*k**2 - 1. Let g(z) = -2*u(z) + w(z). Let f(q) = -59*q. Determine f(g(b)).\nAnswer: 767*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -9\/17, -1, 23\/17.\nAnswer: -1, -9\/17, 2\/13, 23\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e4 - 4?\nAnswer: 1e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/30*63\/84\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/5, 422\/11, 1.9, 13\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9081608 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q + 2*q)*(0 + 6 - 1)*(1 + 2 - 1).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 16280?\nAnswer: 179080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.83272 millennia to decades.\nAnswer: 9483.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 3*l - 1. Suppose 0*s = 3*s + 12. Let h be c(s). Let o = -71 + 139\/2. What is the third biggest value in o, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Solve -2*t + 1 = -p*f - 13, -6 = -3*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*(c\/c**6)\/c*c*c)\/(c*c**(2\/5)*c)*(((((c**0\/c)\/c)\/c)\/c)\/c)**38)**(6\/23))**10 assuming c is positive.\nAnswer: c**(-11664\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/1*-10. Suppose 0 = 5*c + a*h - 25, -h - 1 = -2*c - 0. Suppose -17 = -c*z + 5. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-6) + 57\/38. Suppose o + 5*x = -7, -5*o + 13 = -s*x + x. Solve 0 = o*q + 4*q + 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/(1\/(-6)). Let f be -1 + -1 + q*1. Find the third derivative of -2*s**5 - f*s**2 + 2*s**2 + 2*s**2 wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3860240 is divided by 491?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-2 - -1 - -11). Suppose -22*m = 7*m - 29. What are the prime factors of (y - 14)\/(m*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 1. Suppose -2*u + 6 = 0, 3*n + 5*u = v*u - 21. Suppose -5*m = -30 + 25, -4*s + 17 = 5*m. Put 0, n, s, 5 in decreasing order.\nAnswer: 5, s, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 417723\/2 or 208862?\nAnswer: 417723\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.038 + 1.5.\nAnswer: 1.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136874, -136880, -136886?\nAnswer: -136892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 69.2 - -0.5\nAnswer: 69.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/147 and (-6)\/315*(-11 - (-670)\/(-680)).\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 9*t + 9. What is the smallest common multiple of p(8) and (-3)\/(-12)*1 - 57\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -87. What is the remainder when r is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (68\/(-6))\/((-6)\/(-9)). Let i = 28 + r. Suppose 0 = -u + 3*k + i, 2*u - 4*u = 5*k - 44. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497 = 3*t - 479 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11230*q**3 + q + 53484?\nAnswer: 33690*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 37 = 35 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46936 and -13822273470.\nAnswer: -13822226534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 + 19 = -3*s, 4*s = 5*m - 26. Let l(y) = -2*y**2 + 5*y - 6. Calculate l(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 315 - 317.542. Let d = 0.052 + l. Round d to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 451*q**2 - 632*q + 124*q**4 - 451*q**2 + 12*q**4 wrt q.\nAnswer: 1632*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1072*f - 1069*f + 2145*f. Let w(r) = 8*r + 7*r + 4*r. What is u(w(o))?\nAnswer: 76*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 647.\nAnswer: 10999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i + 1057. Let v be f(-117). Solve -d + 18*b = 15*b - 5, v*d = 5*b + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -40. Let v = -6 + 8. Suppose -5*j + 2*f + 11 = 1, 0 = -j + 2*f + v. Solve 0 = -u*g + 4*g - j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 6964 = g + 50891. List the prime factors of g.\nAnswer: 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1979 + -1699. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8353 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2748282932 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(34)\/sqrt(2) + sqrt(17)*2 + -5.\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-728)*((-54)\/(-108))\/(1\/(-1))*-24.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68036672*y**3 + 8558054*y wrt y?\nAnswer: 408220032*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -114, -116, -118, -120, -122?\n\"Answer: -2*k - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 9 + 7 + 2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1007.017 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2070472660 and 2776?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -867, -1322, -1799, -2304?\nAnswer: -2843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.43 * 7652.9.\nAnswer: -10943.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2832485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.94 + -0.04. Let n = -2 + g. Let t = 1 - 1.2. Which is the second biggest value? (a) 0.1 (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 5. Let w = y - 21.97. Which is the second smallest value? (a) -5 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15763, -33349, -50935?\n\"Answer: -17586*i + 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1214*y = 1093*y + 1452 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/(5427\/108)*(-18)\/33?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:03 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127541\/9 - -14171. Let i = 0.18 + -7.18. Which is the nearest to 5? (a) -0.4 (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10*v = 18. Let o be (-2)\/(16\/v) + 17\/4. Let s(r) = 3*r + r + 2*r - o*r. Let h(m) = -2*m**2. Calculate s(h(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-12))\/(-5))\/(27\/216*14)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2448*z**3 - 62014*z**3 + 59524*z**3.\nAnswer: -42*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:09 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 17 + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -474.9 and 3.\nAnswer: -471.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3351000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 74. Suppose 2*z + 3*w - 31 - 8 = t, 4*z - 5*w - 23 = 0. Solve 5*k = 9*k - z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/64*(-4)\/(-2))\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5 - 288\/80 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 4*p**2 - 148 + 49*p - 39*p - 4*p**2 + 159. What is z(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-5\/8)))\/(s\/(s*s*s**(-2\/101))*s))\/((s*s*s\/(s\/(s**(-23)*s)))\/s)**(-1\/6) assuming s is positive.\nAnswer: s**(-2339\/808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 897 - 30*j + 815 - 1712.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101111000010011110 (base 2) in base 10?\nAnswer: -1765534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y**2 - y. Let o be n(0). Suppose o = -4*d + 2*d + 7280000. Suppose 0*p - d = -2*p. What is p rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(684))**2 + (sqrt(19) + 1)**2*-3 + ((sqrt(228) - sqrt(228)*2)\/sqrt(12) - (-5 + sqrt(475)))**2.\nAnswer: -66*sqrt(19) + 3385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 740, 1126, 1508, 1886, 2260?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3\/6 + w**2 + 9*w. Suppose 2*b - b + 2 = 0. Let x be h(b). Solve -v = 2*k - 14, x*k + v = 2*k - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:11 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 7*t**2 + 12*t + 32. Let l be y(-6). Let p be 7 - 4 - l\/(-1 - 0). Let c(u) = -3*u + 1. Let j be c(2). Put j, p, 5 in increasing order.\nAnswer: j, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2011\/11 - 183. What is the closest to 4 in 0.4, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -6*n - 119. Let w be 1 - 16\/n*186. Suppose 328 = 4*x + 2*d, -3*x - 3*d = -0*x - w. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {t: 3, z: 7, m: 9}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qede when four letters picked without replacement from ddedqddedd?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 12 - 7 + 25 - 12.\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*j + 15272 - 20792 = 0 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*b**3*y - 80*b**3 + 5*b**2*y - 166*b**2 - 1 wrt b.\nAnswer: -132*y - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483688 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: b\"What is the jth term of -28404780, -56809561, -85214342, -113619123, -142023904?\n\"Answer: -28404781*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 5. Let w(r) = r**3 - 6*r**2 + 7*r - 6. Calculate the remainder when k is divided by w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 12 = 0, -264*f = -266*f + 3*k + 2118. What is the lowest common multiple of 875 and f?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 31, -2150 in descending order.\nAnswer: 31, 0, -2150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 + 3*f - 2. Suppose 27 = -4*h + 5*w, 3*h + 6 = 2*h + w. Let c be j(h). Find the first derivative of 25*o**2 + 5 + 4 - c wrt o.\nAnswer: 50*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 4*o**2 + 3*o. Suppose 4*x - 4 = -0. Suppose -r - x = t + 2, -5*r - 23 = t. Let h be a(t). Sort 4, h, 1 in descending order.\nAnswer: 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + 15 + -98.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79722 - 173611 = -91*a + 30*a. What are the prime factors of a?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 9*i**2 + 8*i - 1. Let f be g(-8). Let w(u) = 2*u - 5. Let q(x) = -3*x + 7. Let a(s) = 5*q(s) + 7*w(s). What is a(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**2. Let u(k) = 7*k**2. Give u(f(h)).\nAnswer: 175*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, 3\/4, 2\/157, -0.1?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/b**(2\/7))\/b))\/b)\/(b**(4\/15)\/b) assuming b is positive.\nAnswer: b**(107\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 1258?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -388 (base 15) to base 9.\nAnswer: -1082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:32 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12120202 (base 4) to base 10.\nAnswer: 26146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s**3 + 150*s**2 - 554*s - 696 = 0. What is s?\nAnswer: -87\/4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 98 and 201711309.\nAnswer: 201711407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*z + 30*z - 3308757. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + 2 - (-648 - -649).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 10487. Let t(d) = 3*d. Give x(t(r)).\nAnswer: 12*r - 10487","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-9))\/((4\/48)\/1). Let x be (1 - 3)\/((-2)\/c). Suppose -3*w + 4*w - 4 = x*h, 3*w + 5*h = -56. Which is smaller: w or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7405367.\nAnswer: 47, 157561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + (6 - (76 + -19)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1328\/9 and 147 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16678710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*2*-5 + sqrt(396) + 3 + (5 + (sqrt(176) + sqrt(11) - sqrt(11)) - sqrt(55)\/sqrt(5)*-2)**2)*2.\nAnswer: 12*sqrt(11) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(-29)*x**(-1)*x\/x**(-7)*x assuming x is positive.\nAnswer: x**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-3) - (9\/12 - -3). Determine l so that 1\/4*l**2 - p*l**4 - 1\/4*l**3 + 0 + 1\/4*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*i + 28 - 24 = 0, 4 = -2*o + 2*i for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144583970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Let s = -6 + d. Put 3\/2, 2\/5, s in ascending order.\nAnswer: s, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2 - (-2 - 5)). Let b(u) = 2*u**2 + 6*u - 7. Calculate the remainder when 86 is divided by b(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 22*q + 2. Let t be p(11). Solve 5*z + 18 = j, t*j - 5*j + 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220 + 3*d**4 + 220 + 43*d - 663 + 224 to g*d**4 + p*d**3 + a*d**2 + b + s*d and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 + 6*s + 0*s - 8*s)*(-124 + 63 + 60).\nAnswer: -3*s**4 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*n + 49 - 18 + 16*n - 24 + n as w*n + h and give w.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100121 - 213032013?\nAnswer: -212331232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30415585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8*f - 63 = 0. Suppose f*t + 2112 = 15*t. Let g = t - 79. What are the prime factors of g?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18428, -73692, -165802, -294758, -460560?\nAnswer: -663208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(5 + -2 - 2). Suppose l = d + 3*d - 32. Solve -3*a = a + d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(19)*-6 + (sqrt(114)\/sqrt(2))\/sqrt(3).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 793432 and 6?\nAnswer: 2380296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169150 and 1122?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2183.\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -12*l + 13*l. Let j be (l - 2)\/(8\/(-16)). Let q(o) be the third derivative of o**5\/15 - o**4\/6 + o**3\/2 - 3*o**2. Give q(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ravuauwhuhvu. Give prob of sequence rw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*d + 77, -3*d - 67 = -3*y - 7*d. Let g = -94 - -177. Calculate the remainder when g is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.47 + -161.53. Let l = 164.99999839 + t. Round l to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5 - 632185*f**4 - 22751995*f**3 + 23384185*f**2 = 0. Calculate f.\nAnswer: -126401, -37, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Let q be 52\/10 + (-1)\/b. Solve p + 3*a + q = -3*p, 3*p + 3*a + 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -30. What is the nearest to -0.2 in 5, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -25\/666?\nAnswer: -25\/666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**5\/450 - v**4\/60 - 2*v**3\/45 + 5*v**2. Factor u(n).\nAnswer: -2*(n + 1)*(n + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-25)\/(-10) + -2). Is 0 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let g be (-3)\/9*-15 - 2. Suppose -c = 3, 4*n - 5*n - c - g = 0. Put -1, y, n in increasing order.\nAnswer: -1, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, k: 4, b: 11}. Give prob of sequence ka.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 104 = 64. Let k(n) = 3 - 2*n - 2 - 21*n**2 + v*n**2. Is 17 a factor of k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 41, -5\/6, -0.1 in decreasing order.\nAnswer: 41, 0.2, -0.1, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/80 + 35*t**4\/32 + 33*t**3 + 5*t**2 + 3*t + 45. Factor i(z).\nAnswer: 3*(z + 11)*(z + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*b = 2*z + 4, -3*b + 6 = 0. Let v(s) = -5 - 3*s**2 + 5*s**2 + s**3 + 3*s**2 + 12 - 5*s. Is v(z) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, and 1 y when three letters picked without replacement from yeeeyddddgdyeee.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 13 - 13)*(-1 + 1 + 2 + (0 + 2 + 0)*(7 - 24 - 28)) in the form p*g + w and give p.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2606 = -5*v - 13*v + 2696. Let t(r) be the second derivative of r**5\/20 - r**4\/4 - 5*r**3\/6 - 7*r**2\/2 - 2*r. Calculate t(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -110, -160, -198, -218, -214, -180?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:59 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-28) - 1\/((-8)\/10). Suppose -8*b = -3*b - 5. Let v be (-12)\/4*(b - 0). What is the nearest to m in -1, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-3)\/4*-4. Suppose -u - s = -5*u + 24, -y*s = 4*u - 24. Solve u*k - 5*k = -4*w + 13, -3 = k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -475, -474, -473?\n\"Answer: k - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1*d\/(d*d*d**(4\/3))*d\/(d**(-10)*d)*d**(-6) assuming d is positive.\nAnswer: d**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/7*(-1034)\/1551\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*i**3*v**2 + 5*i**2*v**2 + 2*i*v**2 + 2*v wrt i?\nAnswer: -942*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3085674542 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*b = 4*b - 83, 6 = 2*b. What is the remainder when 199 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04349 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -4438, 0.4, 1, -0.4 in ascending order.\nAnswer: -4438, -0.4, 1\/10, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181779.\nAnswer: 3, 13, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 25. Suppose 5 = -b + 4*s, 4*b - t = -s - 9. Suppose 0*f - 15 = 5*k + 5*f, -4*k = 5*f + 13. What is the closest to -1\/4 in 1, k, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjljjljljj. Give prob of sequence jljl.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, -5 in ascending order.\nAnswer: -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(1216) + 0)**2.\nAnswer: -6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d - 22. Let c(u) = -1 + 11*u - u - 9*u. Determine 36*c(h) - 2*q(h).\nAnswer: -4*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 486.96?\nAnswer: 486.96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2389 + -0.2589. Suppose 2*f = 11*f - 18. What is the second biggest value in b, -3, -0.3, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -22*a + 15. Suppose -q = -4*q - 2*s + 28, 4*q + 3*s - 38 = 0. What is the first derivative of -q + a + 7*l - l - 1 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 - 66\/(-15). Suppose c - 22 = 3*c. Let y(o) = o**2 + 10*o - 11. Let m be y(c). Solve h + p = -m*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*c**3 - 6 + 0*c**2 + 2*c**2)*(6*c - 5*c + 3*c).\nAnswer: 8*c**4 + 8*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12344*j**4*w*y - 78*j**2 - 110000301*w*y wrt j.\nAnswer: -49376*j**3*w*y - 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1*(-5 + (-3976)\/(-792))*3570\/(-476).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 347860, 347835, 347808, 347779, 347748, 347715?\n\"Answer: -o**2 - 22*o + 347883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + 1101?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212020120 - -210222?\nAnswer: -10211102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than -1878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + 4. Let a = 93 - d. Suppose 5*k = -3*j + 10, 0 = -0*k + 5*k - 2*j - a. Solve 4*i + 4 = k*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-1 + (0 - -2)). Suppose 0 = k*a - 2*x - 42, -a = 2*x - 0*x - 6. Let p be ((-312)\/(-91))\/(1\/7). What is the highest common factor of a and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100130 (base 4) to base 6.\nAnswer: -4512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 17142 - 6222. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 923.4 to the nearest 10.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 184 + 184.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 - 1)*(3 + 2*f**3 - 3) - 4*f - 308 + 4*f**3 + 308 to the form q*f**3 + n + r*f + s*f**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (540\/(-378))\/((4\/4)\/(7\/(-4)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -336 divided by 7\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564359 minus -28?\nAnswer: 2564387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -19, -56, -119, -214, -347, -524, -751?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93476, 374989, 844202, 1501121, 2345752, 3378101, 4598174, 6005977?\nAnswer: 7601516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*a + 182*a - 40 = 2*h + 370*a, -2*h - 41 = 3*a for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by 77314.\nAnswer: 63\/77314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0*t**2 + 11 + 1\/6*t**4 + 23\/3*t**3 - 2*t - 21\/10*t**5. What is the second derivative of a(v) wrt v?\nAnswer: -252*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0.2 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 9) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4578 is divided by 229.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -10000, 33?\nAnswer: -10000","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580861 + 3*r**2 + 580861.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -144 * -324\nAnswer: 46656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4764.8 - 4779. Round m to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 807 divide 801874022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7799721.15 to the nearest 100000.\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -4, 33 in increasing order.\nAnswer: -4, 0, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(6\/(-9) + 0). Suppose 0 = f*n - 0*n. Is 4 a factor of (n - 2*-1) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/180 and -83\/315.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - n**2 + n + 5. Let d be y(0). Suppose -2*z - 6 = -d*z. Solve 3*u - z*v + 10 = 0, 0 = -5*u + 3*v - 22 + 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*p + j, 5*j - 1270 = -2*p - 1287 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 998 + -29?\nAnswer: 96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687375 is divided by 114554?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - -20?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1184, -3998, -8700, -15302, -23816?\nAnswer: -34254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 - d - 4. Let k be z(2). Let t be 96\/k + (-4)\/(-6). What is the highest common factor of t and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 8, t: 8}. Give prob of sequence et.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 17\/15*o**6 + 0*o**3 + 0*o**2 - 17\/6*o**4 + 0 + 0*o**5 - 7*o. Find the third derivative of t(w) wrt w.\nAnswer: 816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -1\/24*f**4 + 0*f**2 + 1\/12*f**3 + 0 + 3*f. Factor m(z).\nAnswer: -z*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(125) - -1*-3*sqrt(125)) + (sqrt(125) - (-1 + sqrt(125)))*-6)**2 + 5.\nAnswer: 120*sqrt(5) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yppppppppppppo. Give prob of sequence ppop.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w - 60 = 0. Suppose -2*l + w = 2*l. Suppose l*b - 1 = 4*b + o, b = -2*o - 5. Solve b = 4*i - 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -3, 1.153?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -9 (c) 0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -17*z + 2. Let n(k) = 3*k**2 + 5*k - 5. Let y = -222 - -217. Let u(h) = 4*h**2 + 6*h - 6. Let x(p) = y*u(p) + 6*n(p). What is q(x(i))?\nAnswer: 34*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:25 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 9712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403 + 16*w - 7*w - 11*w.\nAnswer: -2*w + 403","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 703, 6, -1.\nAnswer: -1, 6, 703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 15*m**2 - 5*m**2 + 31*m**2 - 6*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870.0469cm to millimeters.\nAnswer: 8700.469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240986316 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00087354 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 245 = 30*z - 25*z, 3*c - 5*z + 171 = 0. Is -60 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165\/4 + -41. Let x(s) be the second derivative of -1\/2*s**3 + 0 + 3*s + i*s**4 + 0*s**2. Find the second derivative of x(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63282.83ng in kilograms?\nAnswer: 0.00000006328283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271336606.\nAnswer: 2, 10141, 62683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25343, -50688, -76033, -101378, -126723?\nAnswer: -152068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -46. Let r = 21 + -15. Suppose -r = -s + 13. Calculate the remainder when s is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 279, 276, 271, 264?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*p + 3284 = 0, -4*t - p + 3284 = -0*p. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**3\/7 - 3195*f**2\/7 + 3402675*f\/7 - 3767. Factor x(z).\nAnswer: 3*(z - 1065)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2186 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x = 29*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*y - 3*f**2 + f*y + 82*f + 2923*y wrt f.\nAnswer: -4*f*y - 6*f + y + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -233202331203 (base 4) to base 6\nAnswer: -1123051323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*n - 118 = 0, 3*j + 2*n = 6*n - 61. Let d = -24 - j. Let l(r) = -7 + 0 - 2*r + d. What is l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*g - 9 = 0, -38*u + 42*u = g + 134. Let j = 1777 + -926. What is the greatest common factor of u and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + -69 - 78 - -142?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*v - 140 = z, -2*z = v - 67. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391207368 divided by 5?\nAnswer: -391207368\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 5*z + 4. Let h be r(3). Suppose j = -4*y - 46, h = -5*j + 6. Let w = -2 - y. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -t + 25777, -3*m + 19317 = 86*t - 87*t. What is the greatest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from twdjr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 170\/(-340)*-16*(6\/4)\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1464 - 1460. What is the second biggest value in -0.1, -2555, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -14) + (0 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*o**3 + 73*o**3 - 5*o - 32*o**3 + 6 - 2*o**2.\nAnswer: (o - 3)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 843392 and 3168?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxz when three letters picked without replacement from {z: 2, x: 4, o: 6, r: 1}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 + 0.18. Let x = k - 0.33. What is the third smallest value in x, 2, 0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 2*j**2 + 7*j - 235. What is k(9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**6\/9 - 2*j**5\/15 + 55*j**4\/3 - 1076*j**3\/9 + 755*j**2\/3 - 650*j\/3 + 1128. Solve a(c) = 0.\nAnswer: -13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*v + 6 = 437*v + 434*v - 1311*v - 6, 0 = 7*s + 4*v + 107 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -844*d*h*w + d*h - 4*d*w + 96*h*w + 1182*w wrt d?\nAnswer: -844*h*w + h - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0*q + 1\/75*q**5 + q**2 + 37 + 0*q**3 - 8\/15*q**4. What is u in a(u) = 0?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, c: 1, m: 1, k: 2, u: 1}. Give prob of picking 1 u and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/421 + 1098\/4631. Put q, -8, 1\/5, 5 in increasing order.\nAnswer: -8, 1\/5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.30737l to millilitres.\nAnswer: 97307.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + x**2 - x. Let a(o) = o**2 - 3*o - 3. Let k be a(4). Let n be c(k). Suppose 0 = n*j - 77 + 7. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, -4, 0.2, -7, 2\/5, 3 in decreasing order.\nAnswer: 3, 2\/5, 0.2, -4, -7, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**5 - 343*l**3 + 53*l**2 - 1.\nAnswer: 120*l**2 - 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -12 + (2 - (-6 + 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -54*b**2 - 4*b - 4. Let m = -166 + 229. Let u(w) = 864*w**2 + 63*w + 63. Let s(t) = m*j(t) + 4*u(t). Let k(l) = -3*l**2. Give s(k(c)).\nAnswer: 486*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v + v**2 + 6 - 5*v**2 + 6*v**2. Let k(r) = -3*r - 5 + 4*r + 5*r - 2*r - r**2. Calculate 4*k(u) + 3*l(u).\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4974\nAnswer: 1\/2487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 678581*v**2 + 669878 wrt v.\nAnswer: 1357162*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 54*p**2 + 56*p**2 - 188*p**2 + 9 + 54*p**2 + 40*p**2. Let b(m) = -4*m. Determine b(n(w)).\nAnswer: -64*w**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355044, -710070, -1065096, -1420122, -1775148?\nAnswer: -2130174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 414051*s**2*v**2 - 31*s**2*v + 2*s**2 + s*v**2 - 2*s*v - 15*s + 2*v**2 - 211*v + 135 wrt s?\nAnswer: 828102*v**2 - 62*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4879451*l - 1346164 wrt l.\nAnswer: 4879451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t. Suppose 0 = 5*w - 34 - 186. Let m = w + -47. Give g(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruu when three letters picked without replacement from urwwwwwwwrwruuwwuwr?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1116)\/36)\/(-62))\/((-86)\/8).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15021.7 - -14269. What is s rounded to the nearest 10?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 87 = 4*k, -4*k - 5*l = -0*l - 79. Suppose -b + 11 = -2*c, -b + k - 4 = 4*c. Calculate the remainder when 36 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1323121, 1323117, 1323113, 1323109?\n\"Answer: -4*z + 1323125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*b - 10, 5*b + 24 = 2*q - q. Suppose -s + 4 = 0, 5*l + 2*s = -q + 37. What is the derivative of 732*o**l + 22 - 13*o**4 - 732*o**3 wrt o?\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165528, -331117, -496706, -662295?\nAnswer: -827884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 46\/3*1 - (-17)\/(-51).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -127*w - 8. Let z(l) = 54*l + 3. Let n(v) = 3*f(v) + 7*z(v). Let m(p) = -10*p - 10. What is 6*m(u) - 21*n(u)?\nAnswer: 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i - 2*i**3 + 0*i**3 + 2*i**2 - 3*i**2. Let x(l) = -l**3 + l. Let k(q) = -r(q) + 3*x(q). What is the third derivative of k(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + 0.37. Let o = 0.63 - 0.03. Let n = -5.6 + o. Which is the closest to 0? (a) -1\/9 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/12 + c**3 - 11*c**2 + 6*c. Let b be q(-9). Let f = 14 + b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*a - 214450 = -258946 for a.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51040\/(-34650) + 2\/45?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 35*f - 286. Let j be w(-4). Suppose 4*m - 515 = 497. Calculate the greatest common factor of j and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 30 = g. Suppose 0 = -4*h - 5*r - g - 1, -2*h - 2*r - 2 = 0. Suppose -h*d + 76 = -78. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 594, 20, -33?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-2 + 1 + 0). Find the third derivative of -108*u**3 - 3 + 62*u**q + 4 + 10*u**2 wrt u.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*x - 90 = -796*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = 24. Let i = 4 - d. Suppose 8*w = -11 + 131. What is the highest common divisor of i and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -351160 and -6672057\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -32\/65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*b - 3*k = -105*b - 2170, 0 = 4*b - 4*k + 1224. Which is smaller: b or -311?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 54424?\nAnswer: 598664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6589)\/(-5391)*12\/374.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254*i**4 + i**3 + 3192*i**2 + 2*i wrt i?\nAnswer: 6096*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/6)\/s**(2\/67) assuming s is positive.\nAnswer: s**(55\/402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t = -63*t + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 2)*(-1 + 4 + 1)*(728*o - 7668 + 7668) to the form i + g*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361495398*c**3 + 180747706*c**3 + 180747698*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(98) - sqrt(98))**2 + sqrt(24)\/(sqrt(132)\/(3*sqrt(11))).\nAnswer: 3*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 7*n**5\/30 + 7*n**4\/6 + 521*n**3\/2 - 1356*n**2. Find the first derivative of l(p) wrt p.\nAnswer: 28*p + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + 1001001110?\nAnswer: 1001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rry when three letters picked without replacement from dddyyrrd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 54 = -0*t. Let f = 10 + -7. Calculate the highest common factor of t and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggdgdd. Give prob of sequence gddg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -32*t**3 + 1001157*t**4 - 1001157*t**4 + 30*t**2 - 30 + 31*t + t**5 = 0.\nAnswer: -6, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -694, -4773, -15846, -37411, -72966, -126009, -200038, -298551?\n\"Answer: -583*p**3 + p**2 - p - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -2\/21*f**3 + 1\/7*f**2 + 0*f + 5. Suppose b(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxsx when four letters picked without replacement from sqstxxx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957010 a multiple of 1342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 2, s: 8, h: 9, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11033220, 11033214, 11033208, 11033202, 11033196?\nAnswer: 11033190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4699, 9373, 14049, 18721, 23383, 28029, 32653, 37249?\n\"Answer: -q**3 + 7*q**2 + 4660*q + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 589134 and 498.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -3, -160?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1689 or 1610?\nAnswer: 1689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 279 - 54 - 16*y - 91 to the form w + j*y and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0.5 (c) -6 (d) 5 (e) 310 (f) -0.3 (g) 18\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*g - 6 = 4, 0 = g - 1. Suppose 14 = c*v + 5. Let s(d) = -v*d + d + d - d. Let h(j) = -4*j**2. Determine s(h(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = k + 9, -5*h + 24 = -k - 3*k. Let j = -553 + 553.5. What is the nearest to -1\/21 in j, -2\/3, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide (-318576)\/(-33) + 2 - 46\/(-253)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*x = 4, -5*u - 5 = -3*x - 2. Suppose u = -4*w + 2*w + 20. Let o be w\/35 - 4\/14. Solve o - 4 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.87331605 rounded to three decimal places?\nAnswer: 4.873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*m + 208*m + 3*k - 114 = 0, -2*m - k = -45. What is the remainder when 690 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120132535 is divided by 258.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415952 to the power of 1\/2, to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2298905865 - 2298905865 + 24*t**3.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*t + 12*t**3 + 15*t)*(2*t**2 + 0*t**2 - 4*t**2) - 3*t + 3*t + 2*t**5 + 0*t**4 + 0*t**4 + 2*t**5 + (-2*t**3 + 0 + 0)*(2*t**2 - 2*t**2 - 2*t**2).\nAnswer: -16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.07 (b) -361 (c) -4 (d) -1\/8 (e) -2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(2736)*-1 + sqrt(19) - (0 + sqrt(1216))) - (3 + (sqrt(2736) - (4 + sqrt(2736))) + 3))*-4)**2.\nAnswer: 3648*sqrt(19) + 110320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4114 (base 13) in base 14?\nAnswer: -33b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/7))**(-2\/9)\/(((g*g**1)\/g)\/((g\/(g**(-1)*g)*g)\/g)) assuming g is positive.\nAnswer: g**(-10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 3*w**5 + 0*w**5 - 2*w**5 - 2*w**3 + 2*w**3 + (0*w**3 - w**3 + 0*w**3)*(3*w**2 + 3*w**2 - 4*w**2) + 3 - 2*w**5 - 3 + 32 + w**5 - 66 + 10.\nAnswer: -3*w**5 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/44)\/(1 + 55\/(-56))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 53, 3, -34.\nAnswer: -34, -3, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -4.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, g: 11}. Give prob of picking 3 g.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -238, 0 in descending order.\nAnswer: 0, -4, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -393, -137, 495, 1557, 3103, 5187, 7863?\nAnswer: 11185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 2)*(1 - s - 1) + 42*s - 46*s - 84*s to p + r*s and give r.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, and 1 b when three letters picked without replacement from eesneweeeeeeesnb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {d: 1, s: 1, a: 2, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 2*w = 15, -3*n + 20*w - 6 = 19*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, l: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6400543 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w**3 - 3*w**2 - 6*w - 5. Let s be a(-3). What is the remainder when 49 is divided by (s\/(-15))\/(8\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*t + 22, -4*t - 2*k = 3*k - 29. Let y(i) = -i**2 + 1. Let a(p) = -3*p**2 + p + 6. What is t*y(b) - a(b)?\nAnswer: -3*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 9. Suppose -4*d + s = -8 + 3, -5*s - k = 2*d. Suppose y = b - d + 8, -2*b = 5*y - 35. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 42*q**2 + 9*q - 1. Let i(h) = 40*h**2 + 8*h - 1. Calculate 6*i(k) - 5*j(k).\nAnswer: 30*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 7*x + 8. Let y be b(-7). Let m(a) = a + 1. Calculate m(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-63)\/(-6)) - (-260)\/30\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 64873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r. Let k be d(-3). Suppose -k*z = 4*m - 3*m - 23, 0 = z + m - 11. Solve z*j = 3*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 9:04 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.008 + 0.122. Let p = w - -1.87. Let k = 2.1 + -2. Which is the nearest to p? (a) -5 (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4\/7 + 975*q**3\/7 - 802245*q**2\/7 - 8097735*q\/7 - 2435274 = 0. Calculate q.\nAnswer: -701, -7, -3, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 16. Let a = 0 - 0.1. Let k = -0.0561 + -1.9439. What is the fourth biggest value in k, 0.3, a, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Let v(g) = -4*g - 5. Let x(i) = 5*q(i) - v(i). Let u(k) = -4*k**2. Give u(x(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56180*s**5\/3 - 93331940*s**4\/3 + 38576074865*s**3\/3 + 155332411480*s**2\/3 + 194562989705*s\/3 + 77900041210\/3 = 0. Calculate s.\nAnswer: -2, -1, 88261\/106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2250, -2245, 12, 4521, 11282, 20295, 31560?\n\"Answer: 1126*r**2 - 3373*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p. Let l be (3\/(-2))\/(6\/(-8)). Solve p = -k + l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r + 2. List the prime factors of (2 - -3)\/(r\/(-6)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z - 31*z**3 - 12*z - 49*z**3 - 2 + 2*z**3 to the form x*z + l*z**2 + g*z**3 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 26555166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 9 - 27. Suppose -m = 4*s - 14. Suppose 3*q + v - 320 = 0, -4*q + 551 = -s*v + 111. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2210 and 20293546?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 5}. Give prob of sequence vvv.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1981 divided by 3.\nAnswer: -1981\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564644953 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5705793 and 2424?\nAnswer: 45646344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1982662.\nAnswer: 3965324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1003 - -221.33.\nAnswer: -781.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppkkppk. Give prob of picking 3 p.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-44)*(-2 - (-5)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -10, -59, -158, -325, -578?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, f: 6}. What is prob of picking 2 f?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -0.1 (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -65317579.\nAnswer: -65317579.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(5\/4)*((u**(-6)\/u*u)\/u*u)\/u)**(-2\/15) assuming u is positive.\nAnswer: u**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26570 + 26569.9924065. Round o to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 31.7, 5, -20\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35680906811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 14) to base 6\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1397*r**2 - 79*r - 2 wrt r?\nAnswer: -2794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 87 = 25*l. Suppose 3*s = -5*m + 9, 0 = -l*m + 3*s - 4*s + 3. Solve -3*f + 5*z + 29 = 0, 4*f + 2*z - 5 + 1 = m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -0.3 (c) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56853807 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1412400\/506)\/(-50) - -56.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssddsssssss. Give prob of sequence ss.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456, 431, 420, 429, 464, 531, 636, 785?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/36)\/(3\/18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 4\/7, -0.24, -1.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/14 and ((-14880)\/7432 - -2)\/(8 - 20).\nAnswer: 39018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(31440\/(-131)))\/(2\/28)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 7*n**2 - 7*n + 11. Let m be i(-8). Let z(y) = 0*y**2 - 5 - 2*y**2 - 104*y**3 + y**2 - 96*y**3 - m*y. Is z(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - (-23 - (7 + -21)) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92\/8 - (-2)\/4. Let h be (v\/16)\/((-2)\/(-8)). Is (1 - h - -31) + 1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -38 + 1 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 0 - (-7 + 9). Suppose -y = -x*y + 6. Solve -h + 2 = -y*w + 1, -3*h = -15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -32. Suppose 3*j + 69 = -3*m - 66, -r*m - 175 = -5*j. Calculate the remainder when 27 is divided by ((-15)\/25)\/(2\/m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1186*w**3 - 22 - 1 - 1187*w**3 to the form v*w + i + k*w**3 + g*w**2 and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12527*q - 975. Let c be m(1). Calculate the highest common factor of c and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + 2*z - 2. Let j be n(1). Suppose j = -2*p - 2*d + 108, -p - 4*d + 110 = p. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1988, -2918, -2780, -1568, 724, 4102, 8572, 14140?\n\"Answer: v**3 + 528*v**2 - 2521*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Let n(g) be the second derivative of 0 - 2*g + 0*g**2 - 1\/6*g**4 - 1\/10*g**5 + 0*g**q. Find the third derivative of n(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 100 = q. Let c = 25 - q. Suppose 31 + c = 9*a. Solve 5 = -a*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2513?\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2598 + -2595)\/((-2)\/(-7))\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/(-14)*(-28)\/8. List the prime factors of -1 + 4 - (-3 - v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 1.2 (c) -3 (d) 2\/7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -o - 4*r, 0*r = -4*o - 3*r + 31. Let v(h) be the first derivative of -h**2\/2 + 4*h - 4. Let s be v(o). Solve 12 = -3*l - s*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 + 3. Let l = -26.97 - -25.97. What is the nearest to 1\/4 in r, l, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3583 is divided by 2082?\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5142 (base 9) to base 10\nAnswer: 3764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -1 + sqrt(1539) + sqrt(1539))*-2)**2 - sqrt(114)\/(sqrt(12)\/sqrt(2))*3.\nAnswer: -219*sqrt(19) + 55408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-263529)\/(-2538) + (-1)\/(-4 - 2). Solve 6*d - b = -128 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138020208 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40727, 40749, 40817, 40955, 41187, 41537?\n\"Answer: 4*c**3 - c**2 - 3*c + 40727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043528855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 10280.1 to the nearest one hundred.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11917 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-12)*(-2)\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-1 - 0) + 2199\/(-21). Let h = l + 101. Suppose -2*m = -5*o + o + 12, 16 = -4*m. Which is the nearest to h? (a) 2 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*f**2)*(1 + 1 - 3) + 0*f**2 - f**2 - 2*f**2 - f**2 + 0*f**2 + 0*f**2 + (1 - 1 + f)*(3*f + 0*f - 4*f) + 3 - f**2 - 3.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -1433079?\nAnswer: -1433086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 98 = 10*v. Suppose 0 = v*b - 5802 - 848. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-308)\/(-70))\/((-3)\/(-269250)). Round s to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.500941 kilograms in micrograms?\nAnswer: 4500941000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*k - 3*q + 25, -3*q = 5*k - 27. Let o(s) = s - 4. Suppose -5*b = -4 - 6. Let y(w) = 1 - 3*w + b + 6. Calculate k*y(g) + 7*o(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Suppose 0 = d + 3*i + 2*i - 10, 3*i = -k*d + 6. Suppose -3*a = -3*g - 27, 4*a + 3*g - 36 = -d*a. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*p - 10*p**2 + 46*p - 2*p**4 + (0 + 0 + 3*p**4)*(-2 - 2 + 2) - 12*p**4 - 61*p**3 + 61*p**3 to a*p**3 + h*p**4 + n*p**2 + c + q*p and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 5) to base 2.\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-5.08\nAnswer: 2.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 65997336.\nAnswer: -1\/21999112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:47 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**3 + 1034027284*r**2\/5 - 206805456*r\/5 = 0.\nAnswer: 0, 1\/5, 51701364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (8 + -20 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8262893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, 0.49, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 514 - 264. Let s = -123 + j. Let z = s + -121.1. What is z rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 58. Let m = 3163995\/450142 - 1470\/2923. Let t = m + -2\/77. Calculate the common denominator of t and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5065096 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -11\/172 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*x + 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 8.6. Which is the nearest to -2? (a) -5 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-3))\/((-3)\/(-3)))\/(18\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4 + 5 - 4 - 2*y. Let v be l(-3). Suppose -o = 2*w - 77, -2*o - 5 = -v*o. What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-17 - 1) - 99\/(-378)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452070569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y - 2*y**2 - 2*y**2 + 3*y**2 + 3*y**2.\nAnswer: 2*y**2 + 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(684) - (-1 + sqrt(684)) - sqrt(38)\/sqrt(18)))**2.\nAnswer: -2*sqrt(19) + 100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14796 (base 11) to base 15.\nAnswer: 62e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let n(p) = p**2 + 3*p**m - p**2. Let w(u) be the first derivative of u**2 - 4639. What is w(n(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 4}. What is prob of picking 1 w and 1 b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157 and 1816621.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2297125 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 26*t - 30*t. What are the prime factors of 46*t\/(-48)*-8?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*g - g - 90, -4*g - 386 = -3*a. Let k = -95 - g. Suppose 0 = -m + 2*w + 4, 4*w = -m - k*m + 28. Is 50\/9 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 55.9. Suppose -1 = m - 0. Which is the third biggest value? (a) m (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2895205, 5790465, 8685725, 11580985?\nAnswer: 14476245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.14 - -38.86. What is the third smallest value in 1\/9, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26381 - -49772. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(9) + sqrt(36)\/sqrt(4)*4)\/(sqrt(9)\/(sqrt(3)*-1)) - (1 + 4*sqrt(675))).\nAnswer: 1 + 65*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4698978 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + y + 1 = 0, -5*y - 3 = -4*h - 2. Solve 3*t - 7 = 2*n - h*n, 0 = 5*n - 5*t - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/24 - (-2 - 4\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 58*h = 141 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.3 + 3.9. Which is the closest to -0.2? (a) 0.4 (b) l (c) 4\/9 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.66626 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 78, 120, 180, 258, 354, 468?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 11:11 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-six fifths of a microsecond?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 5*m - 2682. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 4*k - 2. Let i be f(2). Put i, 2, 1, -2 in decreasing order.\nAnswer: i, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4 + i - i**2 + i**2 + 2*i. Let h be w(4). Suppose -3*l + 6*l - 42 = h. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13695 and 330.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -10\/149, -4?\nAnswer: -10\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4794629 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/248543?\nAnswer: -6\/248543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 28*s**2 - 40. Let i(k) = -k**2 + 2. Let x(q) = 2*f(q) + 40*i(q). Let j(t) = 8*t. What is x(j(c))?\nAnswer: 1024*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 - -205. Suppose 5*w + 288 = g, 540 = -z*g + 10*g + 2*w. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101011 - 101111111?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163320.\nAnswer: 2, 3, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117*q**5 - 122*q**5 + 281*q**5 + 3*q**5 + 6*q**3 - q**5 - 7*q**3 + (-2*q - 2*q + 6*q)*(6*q**4 - 7*q**4 + 8*q**4).\nAnswer: 58*q**5 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -349*j - 694. Give l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 2*j - 3. Let o(h) = -8 - 66963*h**2 + 66958*h**2 + 0*h + 6*h. Give 4*o(m) - 11*p(m).\nAnswer: 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 4, 0, -4\/7, 2, -1\/68 in increasing order.\nAnswer: -24, -4\/7, -1\/68, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 > 35270\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-32)\/g))\/((g\/(g\/g**(-43)))\/g)*(g**(8\/3))**(-4\/3) assuming g is positive.\nAnswer: g**(670\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5*5\/42*1.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:58 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q)**(-2\/35)*q\/q**(-2\/33)*q\/(q**2*q)*q assuming q is positive.\nAnswer: q**(80\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23736408 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6700271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 21*w + 3. What is a(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 not equal to 118.536187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.81 + -2.19. Which is the second biggest value? (a) 0.01 (b) 1 (c) f (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) - (-3 - 2410\/25). Suppose 4*f = t - 91. Solve 4*q = -2*o - 18, 7*q = f*q + 2*o - 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8263291*0.02\nAnswer: -165265.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1537\/5, -0.05, 152.84?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 3. Let d = -9.2 - -9. Let y = -11.5 + 12. Put y, i, d in increasing order.\nAnswer: i, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**2\/2 + 3*c + 5. Let k be z(-5). Put k, 3, 1\/5 in ascending order.\nAnswer: k, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 c when four letters picked without replacement from qqhqqqqqcqchqcq.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = -2*i - 16, -2*p + 5*i + 10 = 0. Suppose p = 5*h + 5*l, 4*h + 5*l - 2 = 5. Solve 0 = -2*x + z + 1, -h*x - z - 6 = -0*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18557 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + v = -2, -5 = c - v + 5*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(((-20)\/(-4))\/(-1)). What is the closest to d in -0.4, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77724*x**4 - 129*x**3 - 22*x - 42414.\nAnswer: -932688*x**2 - 774*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10*u**4 + 13*u**3 + 10*u**2 + 7. Let t(v) = 9*v**4 + 12*v**3 + 9*v**2 + 6. Let a(w) = 6*k(w) - 7*t(w). Factor a(m).\nAnswer: -3*m**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-86)*2*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + (-8)\/6)\/(32\/240). Let x be (24 - -8)*(2 - 1). Let q = x - 27. Solve 2*y - 5*m = y - 1, -5*m = q*y + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 83 = -2*d - 5*x, 0 = -4*d - 533*x + 573*x + 646 - 30 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 15 = 4*i. Let g be (1\/(-3))\/(i\/(-36)*2). Suppose -5*w = 4*v - 88, w + 0*v + g*v = 14. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 13*g + 21 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742 and 120678880?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**4*g**3 + 3*b**3*g**3 + 11*b**3 + 4*b**2*g**2 - 8*g**3 wrt b.\nAnswer: 24*b*g**3 + 18*g**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1266*z + 759 = -1269*z, -5*l + 3735 = -5*z. Calculate the greatest common factor of 114 and l.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139*-23\nAnswer: 3197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*r + 1815 = 210 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liuudiuipuuduuiui. What is prob of sequence ud?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 41002787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/205 and -57\/5.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 20 - 20. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3406 is divided by 1689?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2228 + 16424 = 5*r - 24293. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*i**4 + 7*i - 2 wrt i?\nAnswer: 1320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 97*t + 599. Is 104 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Suppose 3*k - 4*o = 374, d*k - 5*o = -k + 625. Suppose 0*x - 5*x + g = -95, 5*x - 105 = 3*g. Calculate the highest common divisor of k and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - o = -v - 3, 7 = 5*v + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*n + n. Which is the second smallest value? (a) 0.2 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 1. Let o be k(3). Let u(q) = 2*q**2 + o*q**2 + q**2 - 3*q**2 + 33*q**2. Let v(t) = 6*t**2. What is v(u(p))?\nAnswer: 20886*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163 + -228. Let t = w - -67. Solve -7*r + t*r = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 (base 10) in base 13?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -68*c + 208\/3*c**3 - 344\/3*c**2 + 120 - 16\/3*c**4 - 4\/3*c**5 = 0.\nAnswer: -10, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 1.2. Suppose 0 = 3*a + 4*y - 9*y - 34, a = 2*y + 13. What is the biggest value in s, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/8067, -20, 3\/4, -1, 4 in decreasing order.\nAnswer: 4, 3\/4, 2\/8067, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 11.01, -3, 1\/4, -4.9, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4, -8*z + 4*z = 5*x + 104. Sort x, 3, -2 in ascending order.\nAnswer: x, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u + 10. Let n be h(-6). Suppose 7 + n = s - 5*y, -s - 3*y = -41. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1009, 2014, 3017, 4018, 5017, 6014?\n\"Answer: -u**2 + 1008*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 16*w**2 - 12*w - 72.\nAnswer: 4*(w - 2)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 39 = -33. Suppose t - x = -8*t. Suppose 64 = -t*o + 500. What are the prime factors of o?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25760\/(-1000) + 22)*5*-5?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 7 = 14*i - 4*h, h = 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*t + 58*t + 36 = 0. Suppose 0 = -t*b + 582746 + 773254. What is b rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = i - 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -y + 252, 0 = 5*y + 10 + 5. Is (-3 + 4)\/(1\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 3)*(0*i + 2*i + 0*i) + 6*i - 7*i - 6*i + (2 + 0 + 0)*(-3*i + 5*i + 0*i) + 4*i - i - 2*i + 3*i - 5*i + 5*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12048854 + 4746654. Round p to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 7*j = 21, -309*f + 5*j - 4*j = -312*f - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/12 + v**2\/2 - 4*v - 5. Let z = 7 + -6. Suppose i = k, -4*i + 6 = 3*k - z. Calculate b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -5, -81 in decreasing order.\nAnswer: 4, -2, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 3:33 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6837709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 167 + 57 + 6*u**3 + 58 + u**2.\nAnswer: 6*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 4*u + 8*u + 8*u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 - -15) + -32 + 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 24519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -53848494 times 0.3?\nAnswer: -16154548.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*h + 18 = 0, -25970*g - h = -25968*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39335 (base 15) in base 12?\nAnswer: 89a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/74563932 and 5\/37281966.\nAnswer: 74563932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -5, -5\/839, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -32.2?\nAnswer: -32.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 >= 301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5 - 13004*m**4 - 184420*m**3 + 5168300*m**2 - 31362000*m + 58770000 = 0. What is m?\nAnswer: -30, 5, 6, 3265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*l - 30*l + 9064000. Round l to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 234*h - 189*h - 377280. Is h a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = 3*o + o. Let f(i) = -15*i + 38. Let m be f(-18). Let k = m + o. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1864 divide 83882596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3652 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50099407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/48)\/(1\/16*4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 2, r: 1, x: 2, a: 1, c: 3}. What is prob of picking 1 r and 2 c?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -4*u**3\/15 + 14*u**2\/5 + 1. Factor i(a).\nAnswer: -4*a*(a - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yny when three letters picked without replacement from vynyynsyynnvynsnnvy?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 204, 223, 256, 303, 364?\n\"Answer: 7*j**2 - 2*j + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -66, -100, -134, -168, -202?\n\"Answer: -34*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c - 6*c - 16*c + (2*c + 2*c + c)*(-6 + 3 + 1).\nAnswer: -45*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z**2 - 4. Let o(q) = -5*q**2 - 13907 - 13899 + 3*q**2 + 27810. Determine o(b(l)).\nAnswer: -200*l**4 + 160*l**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314 divided by 966.\nAnswer: -157\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 75, -3, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1258194 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14252*i + 4190077. What is v(-294)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 432965.\nAnswer: 432964.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 5*h + 4*s + 12, 2*h + 10 = -2*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 11*c + 3. Let j be m(-11). Suppose 518 = j*d - d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 159814000 to the nearest one million.\nAnswer: 160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70654237.\nAnswer: 29, 2436353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6220485 = -11*w - 34*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-100)\/5)*-4. Let c(g) = g**2 - g + 1. Let i(p) = -1 - 7*p + 3*p**2 + 7*p - p**3. Let h(a) = y*i(a) + c(a). Factor h(x).\nAnswer: (x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.3 + -100.3. Let d = -84.18 - z. What is d rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 5*d + 4. Let j be g(-5). Let q be -2*-2*j\/(-16). Is -2 + 296 - q - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 254*l - 12 = 120*l + 118*l, -4*z + 24 = -5*l for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y**2 + 0*y)*(-1 + 4*y + 1) + (6*y**2 - y**2 - 3*y**2)*(56*y - 21*y - 2 + 69*y)*(1 + 0 - 2).\nAnswer: -216*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 346381535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94689 is divided by 138.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(16\/(-32))*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 82\/4 - 1 - 105\/70.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9, -1\/6, -2363\/7, 0, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + -2 + (-3 + (sqrt(448) - (0 + sqrt(448) + -1)))*3 + 3)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 5) in base 16?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 4*o**2 + 4*o - 3. Let s be q(-5). What is the third derivative of 2 - 3*n**4 - s + 5*n**4 - 2*n**2 wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = -5*d. Let f(w) = -w**3 + 2*w**2 + 45*w - 12. Let y be f(-6). Solve 3*x = n - 9, y*x + 24 = -d*n + 3*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-188)\/12 + 17)\/(1\/(-21)) - -6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(-1*(-1)\/(-1))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 109 and -65056116.\nAnswer: -65056007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 643 + -246. List the prime factors of k.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 4. Let d be 4\/(-14) - g\/28. Let f = 139 + -1805\/13. What is the second biggest value in d, -2\/11, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 + 71 + z - 151.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6668 and 10.\nAnswer: 33340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 7 = -b, 0 = 5*b + 5*l + 3 + 2. Suppose -2*q - b = -5*n, 4 = -0*n + 4*n. Solve q*x + 7 = 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (415\/(-20))\/((-1)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6549 - -6549.014. Which is the second smallest value? (a) 4 (b) -2\/11 (c) z (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3*k - 24 = 0, 4 + 5 = -3*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12827 - -6785486\/529. Is t > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 1, v: 4}. What is prob of sequence ig?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -50 + -1 - (96 - (53 + 57))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moomnmomaooomaoa. What is prob of sequence mmnm?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -2*n**2 + 7*n + 58. Let g(f) = -9*f + 13. Calculate -7*d(p) + 3*g(p).\nAnswer: p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (24\/(-192)*56 - (4 - 20))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 826 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2964a8546 + 3?\nAnswer: -2964a8543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 11. Suppose 0 = 3*k + m + 39, 7*k - 3*k = -4*m - 44. Let a be f(k). Let h be a\/(-14)*1*2. Do h and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-28)*i**(-14) assuming i is positive.\nAnswer: i**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374782.\nAnswer: 2, 17, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, z: 5, e: 1}. Give prob of sequence wzw.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*u - 74 = 0, 3*i - 2*u + 4*u = 119. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003 + 11033?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/38400 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(1 - (1 - -3)). Let j = -4.5 - -4.3. Sort -2, j, s in decreasing order.\nAnswer: j, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -436 + -7316?\nAnswer: -774c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o + 3*o**2 + 5*o**2 + 474*o**3 - 8*o**2 + 51 + 52 wrt o.\nAnswer: 2844*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 4:18 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35591\/1941 - 2\/647. Let u = 6650146\/9 - 740950. Let g = -2049 - u. Find the common denominator of f and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*m + 3*c = 105*m + 1396000, 0 = -5*m + 4*c - 1745000. What is m rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l**3 + 617*l**2 + 46*l + 85. What is p(-44)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (5 - (-3 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 603072 (base 9) in base 10?\nAnswer: 356546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.53 + -0.83. What is the closest to -1 in -4\/7, -0.1, t?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 58, 83, 106, 127?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 - 16*g**2 + 4*g**2 + (4*g - 3*g + g)*(-g + 0 + 0).\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25410 = -35*z - 70*z. Are z and -242 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 12158714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 32421340 (base 5) to base 14\nAnswer: 73c71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d9 (base 16) in base 4?\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*v, -1 = -n + 3*v + 1. Sort 1, n, 4 in ascending order.\nAnswer: n, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458 = 73*s + 4473 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v - 12. Suppose 3*s - 123 = -5*h, 0*s - 65 = -3*h - v*s. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 + 4*w - 13. Let k(o) be the first derivative of 5*o**3\/3 - 3*o**2\/2 + 12*o - 22. Let n(t) = 4*j(t) + 5*k(t). Determine n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -27*x**5\/20 + x**4\/4 - 3*x**3\/2 + 11*x**2\/2 - x + 32. Is y(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -433.8215 + 434. Let k = 0.0425 + r. What is k rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 divided by -5?\nAnswer: -236\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.58 + 1.68. Let p = -7 - m. Suppose -5*l + 2*k = 81, -65*k + 11 = -l - 62*k. Which is greater: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 4*y + 32. Let w be ((-68)\/y)\/((-2)\/4). Let r = w - 15. Solve -3 = -r*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -23?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90021 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5242 (base 9) in base 7?\nAnswer: -14132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipi when three letters picked without replacement from xagpihiggiighiiiiiig?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -788 (b) 2\/9 (c) 0.2 (d) 4 (e) -6\/13 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23\/9, 6, -3?\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*y - 89*y**2 + 100*y - 120*y**2 - 1 to u + h*y + g*y**2 and give g.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(1\/3))\/c*c)**(-3\/5))**35*(c*c**4*c*c**(2\/9))\/((c*c**5)\/c*c**1) assuming c is positive.\nAnswer: c**(-439\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*r - 15*r + 39*r)*(171*r**2 - 2*r + r - r**3 - 173*r**2).\nAnswer: -81*r**4 - 162*r**3 - 81*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/13 + 2102*p**2\/13 - 992032*p\/13 + 8756568\/13 = 0.\nAnswer: -1406, 9, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -138, -246, -294, -252, -90, 222?\n\"Answer: 5*b**3 - 143*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 4*o**2 + 4*o + 11. Let w be m(5). Let p(k) = 4*k**2 + 5*k - 13. Is p(w) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 113, 689, 1647, 2981, 4685?\n\"Answer: -y**3 + 197*y**2 - 8*y - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddo when four letters picked without replacement from dddddddddoooooddddo.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45859\/4 - -11465. Let p(f) = -f**2 + 8*f + 1. Let x be p(8). Let u be (x\/(-12))\/(10\/15). Which is the nearest to m? (a) -1\/6 (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*u = 22, 4*u + 24 - 72 = -4*k. Suppose -2*g + k = 2. Let c(h) = -2*h - 3*h**2 + h - 3*h + g*h. What is c(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q - 1. Let i be g(1). What is the units digit of ((-189)\/18)\/(i\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4975*x**4 + 4977*x**4 - 2*x**3 - 206*x - 294*x to z*x**4 + c + j*x**3 + b*x + n*x**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*m + 5*i, 0*m + 3*i = -m - 2. Suppose 29*l - 5 = 28*l. Suppose -b = -l*b. Put m, -1, b in descending order.\nAnswer: m, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 1032696 = -9*p. Let z = p - 25706. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 164023.\nAnswer: 820115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*d = -7*d + 115, -127 = -3*y + 2*d. Calculate the remainder when 74 is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (2\/(-5))\/((-2)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 5) to base 13\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from niinni?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285.94 + -17598.06. Let l = -17884.8953 - h. Let v = l + 0.9. Round v to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 139 = -j. Calculate the common denominator of (98\/j)\/(3\/9) and -59\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*l + 7002*l**2 + 109*l - 6991*l**2 - 211*l + 6168 - 6168.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 13, y: 5, w: 2}. Give prob of picking 2 w and 2 y.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -432202.\nAnswer: -1\/6971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2. Let s(h) = 890 + 270*h - 1781 + 891 - 22*h. What is p(s(r))?\nAnswer: 123008*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 27 = -4*h + h, -3*h = -c. Suppose 4*o - c + 1 = 0. Suppose -o*n = -6*n + 20. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - 10 + 0 - o + 2*o to the form g*o + d*o**3 + q*o**2 + j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4\/5 + 48*g**3 + 14637*g**2\/5 + 28322*g\/5 = 0?\nAnswer: -119, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 256?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 - 45. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 17 = j, -4*j + v = -5 - 3. Suppose -8*u + 5 = -4*u + 3*k, j*u = 2*k + 25. Solve -5*t + 3*i - 2*i = -18, -u*t - i + 22 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478713913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2 - (25 + -17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 165*u. Let p(h) = -16*h**2 - 25. Let t(i) = -25*i**2 - 35. Let l(j) = 7*p(j) - 5*t(j). Calculate c(l(d)).\nAnswer: 2145*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -544641?\nAnswer: -544635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-29)*n**(-33)*n assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 5*i**2 + 7*i - 12. Let w be a(4). Solve -3*z - 2*z - 10 = w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 + -15 + 1 + -2. Solve -a = -s*a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 6 + -3 + 94. Let b be 116\/29 - 3*-3. What is the highest common factor of i and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/11 and -55\/91.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000223896 rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -1763.9?\nAnswer: 1763.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*u**3 - 19*u**3 + 58*u**3)*(0 + 4*u + 0).\nAnswer: 312*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -18 - (0 + (-2 - -9) + -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4347*n - 4368*n - 63 = 0. Sort n, -170, 1 in ascending order.\nAnswer: -170, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4825500 to the nearest 10000.\nAnswer: 4830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 399*h + 5. Let a(m) = 215*m + 2. What is 5*a(z) - 3*g(z)?\nAnswer: -122*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 114\/(-513) + 319412\/(-123174). Let a = -4\/6843 - b. Calculate the common denominator of a and 145\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from wlslsll?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*b, -2*n = 3*b - 1 + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6101783.\nAnswer: 6101783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/7))\/p)\/(p\/(p**(5\/6)*p)))\/(p**(-1\/6)*p*(p*p\/(p*p\/p**(1\/10)))\/p) assuming p is positive.\nAnswer: p**(43\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*a**5 - 96801*a**3 + 47025279*a**2?\nAnswer: -5700*a**2 - 580806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 596340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3 - ((-10620)\/2132 - -2)). Let q = 107 + d. What is p in 0 + 2\/5*p - q*p**5 - 4\/5*p**4 + 0*p**3 + 4\/5*p**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.77 in 0, -2, 0.21, 3.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(3272*c**4 - 46*c**3 + c**3 + 44*c**3) to the form k*c**3 + h*c**4 + q*c**2 + n*c + y and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -15. Let s(y) = 13*y + 11. Let o(j) = 5*j + 4. Let r(p) = 8*o(p) - 3*s(p). Determine -k(m) + 15*r(m).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.4228029 to 2 dps.\nAnswer: 12.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -7 + 25 + 0. Find the first derivative of 14 - 12*s**4 - a - 12 wrt s.\nAnswer: -48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 254\/5. Let k(h) = -h**3 + 3*h**2 - 1. Let n be k(1). Is m equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2736 or -1395?\nAnswer: -1395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.4 (b) -4\/39 (c) 0 (d) -5 (e) 47 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (32\/12 + -3)\/(4\/(-3))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2010)\/225 - 15\/(2475\/11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z - s, -5*z + 3*s = -12 - 7. Suppose -2*f + z = -5. Suppose -3*n = n. Solve 0 = -q + 5*q - k - 18, -3*q + 5*k + f = n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, b: 2, t: 9, r: 1}. What is prob of sequence prp?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1933 - 1929. Solve 3*c + f + 15 = -f, q*f = 2*c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 28. Suppose 0*l - 6*l = 3*l. Sort l, t, -4 in descending order.\nAnswer: t, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q*s**6 - q*s**5 + q*s**2 + 2*q + 153*s wrt s?\nAnswer: -600*q*s**3 - 60*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11855?\nAnswer: 5, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.037, -27, -1, -4, -4469?\nAnswer: -4469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 284909, 569819, 854727, 1139633, 1424537?\n\"Answer: -t**2 + 284913*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f = 48. Solve 0 = w + 3*w - f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {l: 1, s: 1, x: 1, t: 2, h: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2678\/3335 - -2\/667. Let u = 44057 + -220284\/5. Sort u, v, -2, -21.\nAnswer: -21, -2, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296015963?\nAnswer: 29, 359, 28433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 24 = 3*i - 4*n, -1 = 2*i + n. Let v be i*2*25\/20. Determine f so that 3*f**3 - f**v - f - f**3 + 1 + 0*f**2 + f**4 - 2*f**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.05872 days in milliseconds?\nAnswer: 3288273408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1317 + 1333. Put -0.1, 0.1, 19, p in decreasing order.\nAnswer: 19, p, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27622801 is divided by 3497?\nAnswer: 3495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u*u*u\/(u*u\/(u*u**(3\/13))))*u*(u\/(u*u**(2\/15)*u*u))\/u*u**(-3\/14)\/(u*u**21) assuming u is positive.\nAnswer: u**(-72559\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 4*w + 4, -20*w = 3*p - 17*w + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*f = 33 - 6, -104*p - 868 = -106*p - 143*f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + 12*l**2 - 25*l - 14. Calculate f(-7).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1012, 0, -4, 13142 in decreasing order.\nAnswer: 13142, 1012, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m - 7. Let l be n(-2). Sort 3, l, -4 in ascending order.\nAnswer: -4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1418 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-6)\/x)\/x**(-3\/5))\/(x**(-2\/7))**42)**(-26) assuming x is positive.\nAnswer: x**(-728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 + x**2\/2 + 5*x + 6. Let w be y(-7). Let k = 106 - w. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1356, 1789, 2224, 2661, 3100, 3541, 3984?\n\"Answer: u**2 + 430*u + 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 57\/15 + -2 + 4220\/(-5275)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = 2*q - 2*u, 5*q - 4*u + 8 = 0. Suppose 8 = 5*g - 2*v, -2*g - 4*v = -v + 12. Do g and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/18 - 17\/9. Which is the smallest value? (a) -1 (b) 1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-2*(-4)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052551.\nAnswer: 1052551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/3, -685450, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -18, -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*t - 74, -48 = -3*m + 3*t + t. Let y(k) = 41*k - m*k - 20*k. Let a(b) = 52 + b**2 - 4*b**2 - 42. Calculate a(y(x)).\nAnswer: -3*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.97 + 0.03. Let l = g + -8. What is the second smallest value in -4, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 m when three letters picked without replacement from mmyjmmmafyasj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16027 is divided by 1708.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2. Let l(b) be the second derivative of -3*b**4\/4 + b**3\/6 - b**2\/2 + 16*b. Give l(o) - 6*y(o).\nAnswer: -3*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z - 32*z - 2*o = 52, -4*z = -4*o - 104 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/(-20)*(2 - -3)*3\/6. Suppose -4*o - 4 = -0*o - 5*h, 4*o - 12 = h. Solve -i + z = o*b - b, -2*i + 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h*q**3 + h*q**2 + 3*h*q + 80*h - 14914*q**3 + 2*q**2 + q - 1 wrt q.\nAnswer: 24*h*q + 2*h - 89484*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(10\/15*6\/4). Suppose 3*m + j + 8 = 5*j, f = 4*m - 4*j + 4. Solve -m*z + 8*z = -4*u + 16, 5*z + 3*u - 20 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.4 less than 4199592296?\nAnswer: 4199592268.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2 + 203 = -2*h, 41 = d + h. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 5:25 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {k: 5, f: 2, v: 8}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 7:08 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/60 and 161\/1209510.\nAnswer: 2419020","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 562409 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - w**2 - w - 1. Let y be u(-1). Suppose -z + 3*x + 13 = y, -15 = 3*x - 0*x. Let m be 1 + 4\/((-24)\/9). Is m <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 2346.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -29*f**2 - 63*f + 48. Find the first derivative of k(u) wrt u.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*d**3 - 206*d**3 + 114*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 63.1. Which is the nearest to j? (a) 0 (b) 2\/19 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12044394 and 3345665?\nAnswer: 60221970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 18 = -14*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -1\/4, -16.072 in ascending order.\nAnswer: -16.072, -1\/4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 + 0\/(-12) + 3954?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-1)\/(-8) - (-2)\/8. Which is the third smallest value? (a) -1 (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 13 = -5. Let w = -1.8 + 2. Let u be ((-4)\/(-10))\/(1\/(-5)). Which is the third biggest value? (a) w (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733678*p = 733933*p + 1785 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/(u*u*u**(-1))))\/u*u)**(-25))**(10\/9)\/(u*u**3*(u*(u**(-9)*u)\/u*u)\/u)**(1\/16) assuming u is positive.\nAnswer: u**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/47)*f)\/f)\/f**(-1\/10))\/(f**17*f*f**(6\/13)\/f))**(1\/17) assuming f is positive.\nAnswer: f**(-105819\/103870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 5*h**2 + 6*h + 3 - 4*h**2 + 2*h**2. Suppose -k + 5*l - 28 = 0, k + 0*l = l - 12. What is the remainder when y(k) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 52*r - 17. Suppose -z + 3*v = -34, 2*z = -0*z - v + 47. What are the prime factors of s(z)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-36) - 1*664\/(-72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149*h**2 - 194 with respect to h.\nAnswer: 298*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/9 - 16*o**3\/9 - 62*o**2\/9 - 44*o\/9.\nAnswer: 2*o*(o - 11)*(o + 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - x)*(2*x**2 + 110*x**2 + 81*x**2 + (-2 + 0 + 0)*(0*x + 0*x + x**2) - 2*x**2 - x**2 + x**2 + 5*x**2 + 10*x**2 - 3*x**2).\nAnswer: 201*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 83*q**2 - 84*q**2 - 9 + 2 + 175*q**2 - q**3. Let d(h) = -7*h + 1. Let r be d(-1). Calculate y(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 31 + -65 - -78.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-105)\/(-126)). Which is the third smallest value? (a) -1\/11 (b) u (c) -0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 2\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48782040 divided by -9756408?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4003 is divided by 126.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3931152 divided by 5\nAnswer: -3931152\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 6*b**2 - 6*b - 6. Determine x(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u**3 - 5*u**2. Let m be 7\/(-4) - (-10)\/440*-11. Let p be (10 + -9)\/(m - -1). Let h(y) = -y**3 + y**2. Calculate p*l(g) - 4*h(g).\nAnswer: -5*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*u**4 + 1304271*u**3 - 2*u**2 + 144107569*u - 2 wrt u?\nAnswer: -276*u**2 + 7825626*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 4*q = 3*y - 3, 5*y + 17 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 268*u**2 + 4576*u - 1361. What is j(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 458828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Suppose 4 = -d*t + 3*t. Let n = 4 + t. Calculate the remainder when 6 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2. Let u(b) = -5*b. Let l = 4 - 4. Suppose l = o - 2 - 2. Let z(v) = -v. Let x(s) = o*u(s) - 18*z(s). Give x(c(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2435*c = -2462*c - 1 + 163 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(8\/80).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 195. Let i be 0\/(-1*(-5 + 4)). Let d be w(i). Let k = d - -419. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m - 24. Suppose m = 4*f - 0*f. Solve 5*l - 26 = 3*o, -l - 7*o - f = -2*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 6:33 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -510*0.03.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 - 6. What is the remainder when p(-5) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -48.8, -9, 106?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*g = 17, -r - g - 923 = -926 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 4, 0.\nAnswer: -81, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2. Let h(a) = 1005*a - 823*a - 555*a - 1205*a. Calculate h(x(l)).\nAnswer: -9468*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4592 - 3.5408. Put -0.08, -1, -0.2, i, 19 in descending order.\nAnswer: 19, -0.08, -0.2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 8*u**2 - 23*u - 3. Let d be g(-4). Calculate the highest common divisor of 850 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 8. Let c(p) = 16*p**3 + 7*p. Let g(j) = -5*j**3 - 2*j. Determine q*c(o) + 7*g(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23800 divided by 6.\nAnswer: -11900\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119931197?\nAnswer: 1493, 80329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*8 + (-11 - -8). Let k be z\/18 + (-15)\/(-2). Solve -5*j + 3*j - 3*x = -1, -k = 3*j - 3*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191572*k**5 - 6932*k**2 + 13*k wrt k?\nAnswer: -11494320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(-3 + sqrt(242)) - ((-4 + sqrt(128))*1 + sqrt(128) + -1)**2.\nAnswer: -547 + 215*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 1850*h**2 + 2*h - h - 6661*h**2 in the form j*h**2 + i + z*h and give j.\nAnswer: -4811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1068*n**3 - 748*n - 8 + 8 + 121*n**3 + 748*n.\nAnswer: 1189*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/14)\/3*(-2)\/(-44).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkk when three letters picked without replacement from kkkkkkgg?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 44 = 5*n, -41*p = -37*p + 6*n - 44 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1497 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10010011001101100 (base 2) to base 6\nAnswer: -1340540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 14 = -2*w. Suppose 2*p = 4*j, 3*p = w*p - 2*j. Suppose p*c = c - 121. What is the remainder when c is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4\/5 - 184*f**3\/5 - 4*f**2\/5 + 184*f\/5.\nAnswer: 4*f*(f - 46)*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.57 - 0.72. Let i = 2.19 + p. Which is the nearest to i? (a) 1\/11 (b) 0.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 329*d**6 - 8*d - 500*d**6 - 6*d**2 + 264*d**6 wrt d?\nAnswer: 11160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12381 is divided by 628.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/560475 and 86\/45315.\nAnswer: 10649025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618 = -344*s + 305*s + 162 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 1) + 4 + -2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2619*b - 45 = 2628*b. Let t(q) be the first derivative of q**4\/4 + 5*q**3\/3 + q**2\/2 + 3*q + 1. What is t(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4287? (a) -0.14 (b) 2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 18, x: 1}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1688*a**4 + 39*a**3 + 5*a**2 + 26108*a.\nAnswer: -40512*a + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -96*g**3 + 24*g**2 - 5*g - 2. Let b be d(-6). Suppose 5*o - 2*z = 0, -2*o - 5*z = -0*o + 29. Is o\/3*(b\/(-8) + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*m + 13. Let t = m + 8. Suppose -887 = -3*d - t*s, -422 = -3*d - 5*s + 450. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f - f)*(-101*f**2 - 5718*f + 5718*f - 225*f**2).\nAnswer: 978*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (144\/(-14))\/((-260)\/107380)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/20107411 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/115*-165*12\/36.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 7. Let p be f(-7). Let l = 0.4 + -0.1. What is the nearest to -1 in p, -9, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20 - -235) + (-3)\/1. Let f be l\/26 + (-13)\/((-169)\/(-2)). Solve 0 = -v - 3*v + f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.47 - 0.53. Which is smaller: -0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15099 divided by 3.\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -649*a + 36. Let u be n(4). Let j be (-2)\/(-13) - u\/(-15795). Is -1 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.9 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81375 divided by -5?\nAnswer: -16275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:01 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54.08 - -55. Let g = r - 0.02. Let p = g + -5.9. Is 1\/4 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7170 by -1195.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 - 58*l + 21. Suppose -349 = -2*g + g - 4*p, 359 = g - p. What is the remainder when g is divided by r(-19)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*l**3 - 293*l**3 - 264*l**3 - 510*l**3.\nAnswer: -893*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 3:57 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*o**4 + 8*o**4 + 34*o**4 - 96*o**2 + 90*o**3 + 3*o**5 - 200*o - 280*o.\nAnswer: 3*o*(o - 2)*(o + 4)**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*f = 21, 2*g - 5*f + 4 = -7. Suppose 0*m - g*m + 44 = 3*r, 2*r + 4*m = 24. What is r rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 15. Let w(n) = -26*n**2 + 11*n + 11. Let p(h) = 5*h**2 - 2*h - 2. Give i*w(r) - 11*p(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/(2 - (-6)\/(-4)). Let k be 38 - (n + (3 - 8)). Let t be ((-126)\/49)\/((-3)\/70). Calculate the highest common factor of k and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(4840) + -3*sqrt(4840) + sqrt(40)))\/((sqrt(216) + sqrt(24))\/sqrt(3) - (sqrt(48)\/(sqrt(6) - sqrt(216)) + sqrt(8))))**2*-5.\nAnswer: -275625\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + c + 2. Let p be t(-1). Suppose -p*b + 4*b + 3*n + 11 = 0, 27 = 4*b + 5*n. Calculate the least common multiple of 19 and b.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -38*(6\/15 - 44\/(-40)). Let n = t - -97. Let q = 36 - n. What is the second biggest value in -4\/3, q, -14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 11*u**2 - 10*u - 3. Let z be g(-10). Let h = z + 11. Solve -5*n + 9 = -h*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5644267896 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b3f + -21?\nAnswer: 2b1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 107. Suppose 5*o + 0*o = b - 1176, i*b + 5*o = 4679. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x - 29*x + 35*x + (4*x + 2*x - 4*x)*(3 + 4 - 5) + 4*x + x - 4*x)*(0 + 3 - 2)*(-1 - 7 + 1).\nAnswer: -147*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssjo when four letters picked without replacement from {i: 4, s: 3, o: 3, l: 1, j: 2, b: 2}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 4*p - 3 = -2*p + 25, -2*a - 26 = 3*a + 3*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**3 - 1488637 - 1488642 + 2977279.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 <= 289935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.335 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033 (base 5) in base 11?\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.4. Let k = j - 0.2. Let x = -0.43 - -4.43. What is the smallest value in k, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 - u**2 + u**2)*(-7*u**2 + 4*u**2 - 2*u**2) + 0*u**3 + 0*u**3 - u**4.\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -1426210?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3141 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 9*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6276)\/8368)\/(9\/420*1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211476 divided by -24.\nAnswer: -17623\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 2*k + 10 + 0*k + 6 - 9. Suppose -21*s - 41 + 146 = 0. Calculate p(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 12:48 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o**(-10)*o)))\/(o*o\/(o\/(o*o**(-2\/7)\/o*o))*o*o))**21)**(-2\/21) assuming o is positive.\nAnswer: o**(178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d4b0 - -188c?\nAnswer: 20d5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*(b*b**(-2\/5)\/b)\/b*b))*b))\/b**(-2\/21) assuming b is positive.\nAnswer: b**(-53\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*i - 8*i - 2*d, 0 = -3*i + 4*d + 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-5607)\/(45\/(-5)). Let i = m - 488. What is the remainder when i is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -8*q - k + 1030, -4*q = -k - 4130. What are the prime factors of q?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 8 + 2678*w - 11 + 2 - 5.\nAnswer: 2678*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5089\/110 - 42\/55. What is the common denominator of 39\/20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30444 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: Factor 9\/5*s**2 - 48\/5*s + 3\/5*s**3 + 36\/5.\nAnswer: 3*(s - 2)*(s - 1)*(s + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(16\/(-72)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -2, 8, -3\/5 in descending order.\nAnswer: 8, -2\/17, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 102700 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 6*h**2 - 6*h - 2. Let b be c(7). Let f be ((-72)\/(-45))\/(1\/b). Solve 15 = -a + 5*o - f, -a - 7 = -o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 828 and 21.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*l + 15, -30*z + 29*z = 3*l + 2. What is the units digit of ((-16)\/(-4) + z)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 543 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10100 + -150252?\nAnswer: -200352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnlgngz. Give prob of sequence lgzn.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 50*g. Let a(k) = 3*k. Determine t(a(m)).\nAnswer: -18*m**2 - 150*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445555 is divided by 778.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 206 divided by 133\nAnswer: 206\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 4, -3, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6006 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + (-1 - -2) - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7405 - 5299. Calculate the highest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**4\/6 + 38*h**3\/27 + 11*h**2\/3 + 2*h + 14. Factor l(q).\nAnswer: 2*(q + 3)**2*(3*q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -311.1 + 306.1. What is the nearest to 0.1 in m, -3.4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 3:03 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 40. Suppose 3*i + f = 97. What is the highest common factor of i and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 17 = -5*b, 8*k + 28 = 3*k - 2*b. Find the common denominator of -4 + 5 - (k - 300\/(-28)) and -35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 3. Let y be h(7). Let a(q) = -1 + 4*q + 0 + y*q**2 + 3*q**2 - 2. Is a(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (2\/2 - 0). Suppose 2*d + 0*d - 18 = c. Let w = d - 3. Solve w*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2104*i - 75874?\nAnswer: -2104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -9. Let k = 13 + -8. Suppose -k*t - 13 + 6 = -4*w, -t = 2*w - 7. Calculate the greatest common factor of f and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/38752 and 87\/2.\nAnswer: 38752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31311 divided by -6120.\nAnswer: 3479\/680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**4 - 600*z**3 - 359430*z**2 + 56722960*z - 166918215 = 0.\nAnswer: -281, 3, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 80*d**2 - 1. Suppose 889*m - 888*m - 18 = -2*p, 2*p = -4*m + 30. What is the remainder when i(2) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 3, h: 2, x: 1}. What is prob of picking 1 f and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31987, -31182, -30379, -29578, -28779, -27982?\nAnswer: -27187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.803 + -0.077. Let h = -0.12 + n. Let t = -6 - -1. What is the nearest to h in 3\/4, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8853, -8854, -8855, -8856, -8857?\nAnswer: -8858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4 + 4)*(-10*c - 166*c - 72*c - 9*c)*(2*c**2 + 6*c**2 + c**2).\nAnswer: -2313*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllxlxlxrlrqlxqvlllx. What is prob of sequence xqrl?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**4 + 5*r**2 + 5*r - 5. Let d(w) = 8*w**4 + 6*w**2 + 6*w - 5. Let n = -3 - -8. Let i(c) = n*d(c) - 6*h(c). Differentiate i(f) wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 + 293*b - 34 - 654*b - 10 + 357*b to k + g*b and give k.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 153 = 36*p. Let r(n) = -7*n - 3 - 6*n + 15*n. What is r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-2)*(-12)\/88?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*n**2 + 4*a*m - 233*a*n**3 + 24913*m*n**3 wrt a.\nAnswer: -4*a*n**2 + 4*m - 233*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/50 and 46\/5?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208059*z + 208187*z - 416494*z.\nAnswer: -248*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/2*39*(-11)\/99)\/((-103)\/(-206))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - r - 5. Let d(l) be the third derivative of l**5\/60 + l**3\/3 + l**2 + 32*l. Determine 8*d(z) + 3*t(z).\nAnswer: 2*z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-78720)\/(-420) + 6\/(-14) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = -2*x, x - 6 = 3*x - 3*b. Let a be -3 + (-3 - -6) - x. Let k(l) = l**3 - 3*l**2 + 2*l - 2. What are the prime factors of k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 16159 + 19341. Round p to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 28*r - 245. Let k be t(-35). Let b(d) = -4*d - 177. Let f be b(-33). Put k, -1, f in ascending order.\nAnswer: f, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43367 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 + (7 - 4) - 5) - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -5 - (15 - 19)) + -14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2501 + 6407. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2 - 10*g + 6. Let z be (0 - 0)\/(16\/(-8)). Suppose z + 10 = -5*d. Let n(c) = -c**2 + 2*c - 1. Determine d*l(f) - 11*n(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtp when three letters picked without replacement from ptpvq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2 - 3 + 3)*(-r + 0 + 0).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -13?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*x**4 + 5*x**4 - 47*x**4)*(-1 + 1 + 1) as d*x**2 + k*x**4 + u*x + r*x**3 + j and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k**2 - 7*k**2 + 61*k**3 - k**2.\nAnswer: 61*k**3 + 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -5 (c) 0 (d) -3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -22. Let a be (8 + (q - -1))*-6. Let o = -37 - a. Solve -10 = -3*h + o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2255*m**2 - 100*m + 45. Let c(x) = -205*x**2 - 9*x + 4. Determine 45*c(i) - 4*v(i).\nAnswer: -205*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 2*x)*(0*x**4 + 8*x**4 - 3*x**4) - 148*x**5 + 674*x - 674*x + (4*x - 5*x - x)*(-2*x**4 + 6*x**4 - 3*x**4).\nAnswer: -155*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a microsecond in nanoseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204213 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270 - 3*u**2 - 279 + 549.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwwymwdyyyxy. Give prob of sequence mwdw.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a day in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 1462.24412.\nAnswer: 1461.84412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a factor of 443213562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = -3*b - p, b + 2*p - 115 = 4. Suppose 2*w = w + b. Calculate the remainder when w is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24899098721 from 0.075.\nAnswer: -24899098720.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*140\/98 + -16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-9)\/(-12))*(-825)\/110.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3500*h + 1042 - 347 - 346 - 349.\nAnswer: -3500*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -4*y**4 - 12 + 0*y**3 + 1\/2*y**2 + 0*y. What is the hundreds digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*o**3*u**2 - 4*o**3 + 1412*o**2*u**2 + 70825*o**2*u + 2*u**2 + 2*u wrt u.\nAnswer: 174*o**3 + 2824*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1542, -3031, -4528, -6039, -7570?\nAnswer: -9127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:41 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -12 - 2. Is -14 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227500 + 85995115\/378. Calculate the common denominator of t and 115\/252.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 7 = -3*x, 2*y = 3*x + 14. Let f(h) = -h**3 + 55*h**2 + h - 48. Let s be f(55). Is y != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(1452) - (sqrt(1452)*1 - sqrt(1452))))\/(sqrt(24)\/(-6*sqrt(300))).\nAnswer: -30*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 79, 120, 163, 208, 255?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-36) - (-16)\/6. Let c(a) be the first derivative of -9*a - 9 - a**o - 1 + 1. Determine c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44175?\nAnswer: 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*o + 0*o + 2*o)*(-3 - 1 + 2) + (0*o - 2*o + 0*o)*(0 + 2 - 4) - 4*o - o + 3*o + 0 + 2*o + 0 + 6 + 337*o + 2 - 339*o)*(-2*o + 4 - 4).\nAnswer: -12*o**2 - 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = u - 192, 5*u + 2*l - 954 = -l. What is the greatest common factor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = g + 19, -g = g + 6. Let d = q + 7. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -597\/1184068 <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -243.6, 6730, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, u: 1, t: 5, s: 6, k: 4}. What is prob of picking 2 k and 1 c?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**7\/210 + n**5\/30 - 7*n**2. What is the third derivative of x(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*l + 259, -2*z + 3*z - 44 = -2*l. Let f = z - 42. Suppose -f*c + 36 = 12. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**6\/90 - 13*r**4\/24 - 7*r**3\/3 - r. Let a(s) be the second derivative of j(s). Differentiate a(d) wrt d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b**3 + 2*b - 1. Let v be c(1). Suppose 0 = -3*p + v + 10. Let q(h) = -h**3 + 9*h**2 - 8*h + 6. What is the units digit of q(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -44571*w**3 - 11*w + 2*w**2 + 44570*w**3 + 9 + 6*w**2. Determine u(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38641884 to the power of 1\/2, to the nearest integer?\nAnswer: 6216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 38 = -40 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5548935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10803 - 10788. Solve 21 = 6*k - y for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-43)\/c**0)\/(c**(-3)*c**(-2\/15))**(-10) assuming c is positive.\nAnswer: c**(-223\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**5 + 0*f**5 - 10*f**5)*(-2 + 1 + 4) + 12*f**5 + 4 - 4.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -4, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2 + 17*i**2 - 4 - 5*i - 8*i**2 + 18. Let h be v(5). Let g be 1 - ((-8)\/(-14) - 8\/h). Put 5, 3, g in increasing order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23563, 23523, 23457, 23365, 23247, 23103?\n\"Answer: -13*t**2 - t + 23577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4795 = 135*s + 842 + 1653 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**4\/5 - 128*d**3\/5 + 296*d**2 - 800*d = 0.\nAnswer: 0, 4, 10, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2282730125.\nAnswer: 5, 13, 233, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33401108 greater than 33401105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 892384 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1768698*p**5 - 2*p**3 - 10*p**2 - 95551*p.\nAnswer: -106121880*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 1, -172, 0 in descending order.\nAnswer: 1, 0, -54, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498139302.\nAnswer: 2, 3, 19, 1777, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g**2 - g**2 - g**2)*(242 - 82*g - 485 + 230) as i*g**3 + h*g + f + z*g**2 and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 894 (base 11) to base 13.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*((-2)\/(-6) - 1). Suppose v*j - 13 = 5*u + 14, 2*j - 2*u = 30. Suppose c - 30 = -0*c. Calculate the remainder when c is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -1 (c) 9 (d) 30.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-3069\nAnswer: -3069.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 41*s**2 - 119*s**2 + 3 + 39*s**2 + 4*s + 40*s**2. Let a = -2 - 0. Calculate m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24782\/20131 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 40\/(-8) + 4 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 605499, 1210995, 1816491?\nAnswer: 2421987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75278 and 266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 - -1.3. Let s = -4.9 + j. Which is the nearest to -1\/2? (a) -4 (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = n + 1 + 3, 5*k + 20 = 5*n. Let a(h) = -h**2 - h + 3. Let d be a(n). Solve -6*p = -d*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5323043 (base 6) in base 9?\nAnswer: 435430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(567) - sqrt(567))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (-7)\/(-2))*144\/54. Is ((9330\/i)\/(-5))\/((-4)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 34908 = 5*o, -6*o + 41916 = -0*o - 2*v. Is o a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48*x - 111 wrt x?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -135721.70614505 less than -0.5?\nAnswer: 135721.20614505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -0.44. Let x = 0.135 + -4.075. Let w = a - x. Put -5, w, 0 in decreasing order.\nAnswer: w, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -198 and -40614.\nAnswer: -40812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 10. Let b be t(12). Suppose -3 + 9 = b*w. Suppose -3*m - m = 4*p - 20, w*p - 23 = m. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**2 - 4. Let x(f) = 17*f**2 - f + 13. Let j(k) = 11*m(k) + 4*x(k). Is 12 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a day?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + g**4 + 0*g**2)*(1 - 5 + 3) + (4*g**2 + 0*g**2 - 5*g**2)*(-1 + 1 - 2*g**2).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 9)\/(6 + -5) - -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 6:04 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from xvvvcyybmbcxvmx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.4 and -0.119.\nAnswer: 4.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxr when three letters picked without replacement from rwwwgwxww.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72769458107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-486)\/(-432))\/((-1224)\/(-384)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1. Let b(p) be the first derivative of -p**3\/3 + p**2 - 2*p - 2. Let s(l) be the first derivative of b(l). Calculate 2*r(k) - s(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*l - 12 = 0, -2*b + l + 4 = -b. What is the third derivative of -15*u**4 - 6*u**2 + 15*u**4 + 6*u**b wrt u?\nAnswer: 720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/73 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -6\/13, 0.14, -36?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 31570 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 722*p**3 + 349106*p**2 + 39076590*p - 768740850.\nAnswer: 2*(p - 17)*(19*p + 4755)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g + 6*g + 2*g to the form i*g + m and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 13 = 11*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 18, 1\/2, -3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:24 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80835940 and 20.\nAnswer: 80835940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 1021?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nax when three letters picked without replacement from {q: 1, a: 3, x: 2, n: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-2) - 2)*-2. Let v be (l\/(-4))\/(2\/40). Let w = v + 13. Solve n + 8 = w*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5863584 is divided by 3484?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11874 in 2\/7, 0, -0.1, -14, -139?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13854 divided by -59009\nAnswer: -13854\/59009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 + 0*k - 2*k**3 + 12*k**2 - 3 - 16*k - 7*k**2. What is the remainder when (-112)\/(-6) - (-2)\/6 is divided by j(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107598827?\nAnswer: 7, 15371261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/12156 and -79\/360.\nAnswer: 364680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1232625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 906 + 967 - 2*h**2 - 661 + 800 + 2266 in the form v*h**2 + b + k*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*((-120)\/(-100))\/((-6)\/20).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - b + 1. Let j(v) = -2*v**3 + 4*v**2 + 2*v - 3. Give 4*f(g) + j(g).\nAnswer: -2*g**3 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (353*c**3 + 338*c**3 + 473*c**3)*(-c + c + 4*c) to w*c + x*c**3 + j*c**4 + a + q*c**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.86 + 3.5. Round w to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g + 28. Let b(o) = -12*o + 58. Let l(i) = 3*b(i) - 5*s(i). Let c be l(29). Solve c*w = -4*f - 3 + 8, -w = 5*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 25. Let l be q\/6*(-12)\/(-20). Suppose 0 = -2*u - 4 + 2. Is l < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2861 - -6793. What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.69 less than -0.037?\nAnswer: -14.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25613 - -25637. Solve 0 = -4*o + 9*a - 5*a + s, -1 = a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8178 and 1798?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -33097*a. Let l(z) = -2418*z - 2. Give l(i(p)).\nAnswer: 80028546*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4479*m**2 + 7*m - 4782. Let d(h) = 2234*h**2 + 3*h - 2391. Let b(r) = 3*a(r) - 7*d(r). Find the first derivative of b(z) wrt z.\nAnswer: -4402*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > 3235\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -11. Let l = r - -20. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 3*t - 4. Let g be o(5). What is the highest common divisor of g and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, c: 12}. What is prob of sequence ccgc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27210498 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 4*v**3 - v**3 + 2*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*i**3 - 1647*i + 796*i + 846*i.\nAnswer: 43*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-73 - (-25 + (-26 - -73)))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {b: 1, y: 2, o: 2, h: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 19*u - 13. Let b be p(-21). What are the prime factors of ((-9)\/1)\/(2 + 115\/b)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 8*v**2 + 8*v + 5. What is z(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*p = 3, 5 = 5*l + p - 3. What is the highest common factor of 14 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**16*z)*z\/((z\/z**(-18)*z)\/z))**(1\/15) assuming z is positive.\nAnswer: z**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 + n + 14. Let x(t) = -27*t**2 + 250*t + 56. Give -4*m(s) + x(s).\nAnswer: -15*s**2 + 246*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 10*r + 11. Let n be z(6). Suppose 63 - n = 5*o. Suppose -4*v - 6*h = -h + o, -4*v + 4 = 2*h. Solve 0*c + 9 = v*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 5*h + 4015. Let j = 4018\/11 + h. What is the third biggest value in -1, j, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -2)\/(6\/8). Let f be ((-34)\/y)\/((-5)\/(-30)). What are the prime factors of (17\/f)\/((-2)\/1416)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 11*c**2 - 2*c + 803. Let s be z(0). Calculate the greatest common factor of s and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 29*a**2 + 10*a - 341. List the prime factors of j(-25).\nAnswer: 2, 11, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (10 + -5 - 2). Let u be (-3)\/(-30)*g + (-88)\/10. Are -9 and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 10*t - 3. Let p(c) = 4*c**3 + 21*c - 7. What is 7*b(n) - 3*p(n)?\nAnswer: 2*n**3 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 31*w**2 - 276*w + 576.\nAnswer: -(w - 16)*(w - 12)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -567 (base 12) in base 10?\nAnswer: -799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 2402184\/120 + -20 + (-1 - (-12)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -97. What is the derivative of 101307*j**2 - 101307*j**t - 143*j**3 + 129 wrt j?\nAnswer: -429*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -319 (base 14) to base 5.\nAnswer: -4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l = -32*l - 3. Let z = 277 - 9417\/34. Which is greater: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -95*(-30)\/(-150).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 209689 (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45466031 is divided by 45466006?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 126*g + 20. Is r(5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 7. Let z(i) = 7*i + 1. Let n(u) = 2*u. Let y(g) = 22*n(g) - 6*z(g). Let v(p) = 5*b(p) - 6*y(p). What is the first derivative of v(o) wrt o?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15916 is divided by 364?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6829 + -75623?\nAnswer: -82452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1247389\/79 + -15790. Calculate the common denominator of -2\/23 and c.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 352, 419, 506, 619, 764, 947, 1174?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4152936 = -98*m - 1321324. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 58*r**3 + r**2 + 3*r - 4. What is w(1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-21)*39\/(1755\/315).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -749 - -751. Solve d*g = -6, 6*v - 2*v + 22 = -2*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14288244*y**4 - 73685*y - 44 wrt y.\nAnswer: -171458928*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = 5*a - 6*a, -3*m = -3. Let l be 23\/253 - 3321\/(-11) - a. Is 304 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -205786, -404511, -603236, -801961, -1000686, -1199411?\n\"Answer: -198725*x - 7061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*t**3 - 130*t**3 - 141*t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2451, 9766, 21947, 38994?\nAnswer: 60907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67.4 + 76.4. Let t = 256\/7 - 110\/3. Which is the nearest to 0? (a) 2\/3 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -2\/3, 9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*p + 25 + 53, 4 = 4*p. Calculate the remainder when w is divided by 0 - (-1 - 27)\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 160738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*z**4 + 2*z**2 + 25.\nAnswer: -1704*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 93 - 7*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1436963?\nAnswer: 574785.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 2*w, -13 + 5 = 2*a - w. Let h be -7 - (-48)\/(a - -2). Is -77\/4 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21786, 43568, 65350, 87132, 108914, 130696?\nAnswer: 152478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 84.74443ng?\nAnswer: 0.00000000008474443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -26810 < -26812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/7))\/t**(1\/11) assuming t is positive.\nAnswer: t**(48\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0*d + 2*d - 2*d + 4*d. Suppose 4*t + 15 = 7. Let l(a) = 13*a - 1. Give t*l(x) + 7*o(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/9 - 45784714*o**2\/9 + 87343372989824*o\/3 - 145572161136640.\nAnswer: 2*(o - 11446176)**2*(o - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 60*q + 4049. List the prime factors of v(0).\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -117\/4 (b) 3 (c) -1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 244.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -18. Solve 8*s = 5*s + w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 578820069116302 - -0.5.\nAnswer: 578820069116302.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 9*w - 3328 = 0. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/11 - 1456380*a**2\/11 - 24103552374*a - 289223563464.\nAnswer: -2*(a + 12)*(a + 364089)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 18. Let i = 0 + 2. Calculate the highest common divisor of m and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 256\/56)*21\/24. Let h(k) be the first derivative of u*k**4 + 0*k**2 + 1\/3*k**3 + 3 + 0*k. Find the third derivative of h(t) wrt t.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262736*o - 4693 = -262489*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6650 and 1378792?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 46.78, 2\/5 in decreasing order.\nAnswer: 46.78, 2\/5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 112462560 + 5?\nAnswer: 112462565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:57 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18465839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(343) + -3 - sqrt(343) - sqrt(343)) + -1))**2.\nAnswer: 5040*sqrt(7) + 50292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7092 + 7094. Solve 0 = -8*k - i - 22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1402450816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let a(f) = 70*f**2. Calculate p(a(x)).\nAnswer: 9800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.32927 milliseconds in nanoseconds?\nAnswer: 34329270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2609*h - 38. Is w(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 + 1?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18993132 divided by -3\nAnswer: 6331044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*q + 23, 0*c + 3*c + 4*q - 17 = 0. Suppose -r + c = 3*o - 2*r, -4*o + 12 = -4*r. Let t(g) = o*g - g - g. Let y(n) = -2*n. Determine t(y(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/39)*l**(-3\/22)*l*l**(-8)\/l**(-2\/11) assuming l is positive.\nAnswer: l**(-5923\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 8*v**2 - 8*v + 3. Let b = -1998 - -1991. Calculate g(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkyhkkkzhhhkhk. What is prob of picking 1 z, 1 h, and 1 y?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 505768695?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10062246?\nAnswer: 2, 3, 29, 57829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*d - 23*d - 39 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 6. Let z be o(-6). Let i = 0 - z. Suppose -3*c + 90 = -i*c. What is the greatest common factor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 95641290*p**2 + 4639793*p. Let y(u) = -5813*u**2 - 282*u. Determine 6*m(j) + 98719*y(j).\nAnswer: -5807*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1391 + -1954. Let c = v + 563.00001445. Round c to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 1:03 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1220953*n**2 - 161 + 161 - 276479*n**2.\nAnswer: -1497432*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -195 + (-1001 - -1106)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -29.5. Let o = 1 - b. Let f = 5 - 5.4. What is the biggest value in f, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -4, -2042, -5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1926 and -213.\nAnswer: 410238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 + 0 - 5 - 35.\nAnswer: -10*v**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-12))\/(5\/(-3) - 4). Which is the third biggest value? (a) 2\/9 (b) -5 (c) 13 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -18*r**3 + 6*r**2 - 24*r - 3. Let m(i) = -i**3 + i**2 - i. Let o(t) = 15*m(t) - q(t). Solve o(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8100 by -25.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(9\/4))\/(8\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Let y be 8\/((-1)\/(0 + v)). Let l = 20 + y. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2)\/d)**(-9\/7)*(d**(-2\/5))**(1\/43))**(1\/10) assuming d is positive.\nAnswer: d**(1907\/30100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 22. Let h = 1.02 + a. Do 0 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**3\/6 + 14*c + 1. Let l(v) = 48*v**2. What is s(l(d))?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 200043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -s - 5. Let o = s + 8. Is 6 a factor of (-47)\/(-4) - 1\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*t - 221*t - 218*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 6*w**2 + 5*w + 2. What is the hundreds digit of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 573*q + 568*q - 1708*q + 1687*q**2 + 567*q in the form o + y*q + k*q**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 18*f - 12. Solve -7 = f*c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49543640 - -3?\nAnswer: -49543639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -537.7 - -538.1. Which is the second biggest value? (a) 0.1 (b) -4 (c) k (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656523, 656480, 656439, 656400, 656363, 656328, 656295?\nAnswer: 656264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybbybbybbvvyyvybbyv. What is prob of sequence vvbv?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 649706207.7 to the nearest 1000000.\nAnswer: 650000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -20. Let q(t) = -7 + 112*t + 13*t + 146*t - 70*t. Let o be q(u). What is o rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16050 divided by 8\nAnswer: -8025\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 29 = k, -5*s - 5*k + 41 = -k. What is the second derivative of 3 - 4 + 1 + h + s*h**5 wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, i: 8}. Give prob of picking 4 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*h = 10*m + 37, 3*h - 41 - 13 = 9*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4.6, 0.05, -2\/10533, 4\/5, -1\/3, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 192\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334.49523 rounded to one dp?\nAnswer: 2334.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -426523?\nAnswer: 426520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/26 - 134\/(-26). Let g = 2.937 - -0.063. Put g, 0, a in descending order.\nAnswer: a, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 77\/2 of a day?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 1, g: 1, z: 2}. Give prob of sequence guhu.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 2, g: 5, z: 1, s: 6}. What is prob of picking 1 g, 1 x, and 1 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-2 - -2) + -3 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*x**(-1)*x)\/x)*x*x**(-28) assuming x is positive.\nAnswer: x**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2. Let v(t) = -24*t**2 - 3*t + 3. Let h(q) = 264*q**2 + 32*q - 32. Let i(l) = -3*h(l) - 32*v(l). What is a(i(m))?\nAnswer: 1728*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 4*f**3 - 3*f**3)*(28*f**2 + 13*f**2 + 8 - 40*f**2) - 3*f**5 + 5*f**5 - 3*f**5.\nAnswer: f**5 + 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -874875?\nAnswer: 5249250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.06 - 0.06. Let a = 1.42 + i. Let g = -2 - -1.9. What is the nearest to g in -1\/4, -2\/5, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f. Let r(k) = 4*k - 3*k - k - 2*k. Determine l(r(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onmonnnmnomnmo. Give prob of sequence nnon.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 327 = 40*r + 39*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.8, -1, 6, 0 in ascending order.\nAnswer: -1, -0.8, -3\/4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.1 + 4.1. Which is the nearest to -1\/2? (a) -3 (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85268678 divided by 70939.\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30\/637 - -577\/1274. Let i = 9\/32 - 1\/32. Solve -r + i*p + 1\/4*p**2 = 0 for p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11468 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c - 11. Let i be m(-2). Let z be -1 + 3 + (-1 - -1). Solve -i*j = -z - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 32*h - 11. Is x(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1251\/298, -0.3.\nAnswer: -1251\/298, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 438*v**2 + 6*v - 3. Let x(j) = 2*j - 27. Determine x(g(c)).\nAnswer: 876*c**2 + 12*c - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 146, -24, 49 in ascending order.\nAnswer: -24, 4, 49, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4823 = 8*j + 4*o, 2*o + 24187 = 5*j. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-1) + (-197312)\/192. Let c = p + 1040. Factor -2*n + n**4 + 1\/3 + 4*n**2 - c*n**3.\nAnswer: (n - 1)**3*(3*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6100033 plus 0.4?\nAnswer: -0.2100033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3230 + 244?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12948 divided by -1079.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t - 1. Suppose -t*i + 25 = 2*i. Suppose -21 = -4*w + 3. Are w and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 5*f = -4, 9*i - 4*f - 2 = 14*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -24495076945.\nAnswer: -24495076944.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -64*y - 4709. Let o be h(-72). Which is bigger: -115 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(15)*3)\/(sqrt(90)\/sqrt(2) + sqrt(500)*-1 + sqrt(500)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:51 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 7*f + 6. Let a be q(6). Let i = a - 12. Let z = 28 + i. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:27 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = 3*l - 95, -2*l = 0. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3576 and 80.\nAnswer: 35760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83358550487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 4542?\nAnswer: 4541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + x - 1. Let t(d) = -2*d + 5. Let s(p) = p + 6. Let w be s(-5). Let j(b) = w*t(b) + q(b). Give j(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9737747519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.509?\nAnswer: 2.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 5)*(0 + 0 - 2) - 2 + 0 + 0)*(2 - 2 - 2)*(0 - 1 + 0)*(-351*j - 221*j + 5*j).\nAnswer: -2268*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Let t = f + 4.05. Which is the closest to 1\/3? (a) t (b) -3 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24171?\nAnswer: 3, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -275044612 + 275162444.0076. Let h = f + -117793. Let y = -39 + h. What is y rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 6*h)*(-4 + 2 + 1)*(2*h**2 + 4*h**2 - 3*h**2).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -13*o**3 - 5*o**2 + 9*o + 9. Let r(n) = -7*n**3 - 3*n**2 + 4*n + 4. Let i(m) = 5*r(m) - 2*y(m). What is the second derivative of i(s) wrt s?\nAnswer: -54*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y - 128. What is k(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -81. What is the remainder when 30 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 167*n**3 - 168*n**3 - 177*n**3 + 519*n**3 - n**2 + 6 as d*n**3 + z*n + l + c*n**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 657, -173, -1555, -3489?\n\"Answer: -276*q**2 - 2*q + 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4, 3.6, 4\/7, -0.1 in ascending order.\nAnswer: -1\/3, -0.1, 4\/7, 3.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:28 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.223 - 0.423. Let d = -2\/3519 + -7016\/38709. Let f be 2\/7 - 20\/7. What is the third smallest value in g, f, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1287 and 163\/1056.\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12976255717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4019, -4009, -3937, -3761, -3439, -2929, -2189, -1177?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*p + 9, -2*p - 13 + 1 = 0. Solve -w*z - 13 = -2*d, 3*d + 3 + 6 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l - 28. Let m(k) = -13*k - 52. Let y(h) = 11*i(h) - 6*m(h). Determine y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5692 = 20*v + 158*v, -2*v + 12 + 52 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 18.228. Let j = -1.7041221 + 1.476104. Let n = o + j. What is n rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55994492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1206 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 5050\/11?\nAnswer: 5050\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + n**2 - 5*n**2)*(34*n**2 - 87*n**2 + 5 + 44*n**2).\nAnswer: 9*n**4 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 + 427. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 57?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -31 + 9\/4*j**4 - 3\/5*j**5 - 3*j**2 + j**3 - 1\/2*j**6 + 0*j. Find n such that a(n) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**6\/120 + 13*r**5\/60 - 5*r**4\/12 + r**3\/2 - 18*r**2 + 1. Calculate j(12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621972 is divided by 15533?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -14. What is the remainder when 47 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 481 divided by -130\nAnswer: -37\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*i - 5*l, 4 = -2*l - 4. Suppose -204 = i*q + 41. Let m be (0 - 0) + 7\/q. Which is the second smallest value? (a) -5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 0, 0*u + 2*w = 3*u - 18. Solve 2 = -h + u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -249, -7.\nAnswer: -249, -7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -9. Let n(i) = -3*i - 11. Let u be n(-5). Suppose 0 = u*d - c, -d + 65 = 3*t + 3*d. Solve -t - 1 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37758, -73034, -108306, -143568, -178814, -214038, -249234, -284396?\nAnswer: -319518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/5)\/((-34)\/(-765)). Is (-2709)\/r - (-3)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1741431.18 to the nearest ten thousand.\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 4 + -4 + -6. Let h = t + 5. What is the second derivative of 2*n**3 - 3*n + 0*n**h - 11*n**3 + 0*n wrt n?\nAnswer: -54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/155*(-5)\/(20\/(-8))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 211104 (base 5) to base 9\nAnswer: 10570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -25*c - 60. Let z(d) = -16*d - 40. Determine 5*n(t) - 8*z(t).\nAnswer: 3*t + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11651663 (base 7) to base 12\nAnswer: -42a455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 6. Suppose 4*o - 5*v + 25 = 0, 5*o - 2*o = 2*v - 10. Let a be d(o). List the prime factors of -21*(0 - (-8)\/a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9699.4, -0.1, 2\/13, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90886 is divided by 90805.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 1 = -n, 5*n + 6*c - c = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1030*h**3*t*w - h**3*w**2 - 8*h**2*t*w**3 + 5021*h**2*w**3 - 6*w**3 wrt t?\nAnswer: 1030*h**3*w - 8*h**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 250*u + 1434. Calculate d(-7).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - l**2 - 3*l**2)*(3761 - 3761 + 337*l).\nAnswer: 337*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 11) to base 7\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3949276 to the power of 1\/2, to the nearest integer?\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10457*b - 2509678. Determine w(-240).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5893 + 25110. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19649758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.4. Let w = 1757.4 + -1761.4. Put -0.03, w, 0.5, g in increasing order.\nAnswer: w, g, -0.03, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-2) + (-3)\/(-6)*38\/(-171)*9?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31361\/70 + 448. Let y = 27\/70 - z. What is the third biggest value in -0.4, 2\/9, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Let n be y(9). What is the derivative of -497 + 457 + 4*a**3 + n*a**3 - 3*a + 7*a**3 wrt a?\nAnswer: 57*a**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-5)\/(-15)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/60)\/(12\/(2160\/50))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t + 1 - 2*t**2 + t**2 + 0*t. Let j = 55 + -47. Suppose s + 3*y = 3, 4*s = -3*y + j*y + 12. Determine v(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 5, -7 in ascending order.\nAnswer: -7, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53948*y + 9005*y + 8992*y + 8997*y + 9005*y + 8998*y + 8957*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -60.7 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2\/(v\/v**(-7))*v**(7\/2)\/v**(-4\/7)*(v**(3\/4)\/(v\/v**(2\/15)))\/((v*(v\/((v*v**(-5)*v)\/v))\/v)\/(v**(-1\/8)*v)) assuming v is positive.\nAnswer: v**(-5183\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 1. Let u(v) be the third derivative of v**4\/12 + v**3\/3 - 2*v**2 + 16*v. Calculate -9*b(w) - 4*u(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-5)*(-35)\/56?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4) + -54 + 20026\/380\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/((-150)\/5) - 9\/(-5). Solve 14 = 5*j + t*k, -3*k - 5 = -2*j - 4*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*w + 3 = 0, -12*w + 35 = 5*h - 15*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/4 (b) 0.06 (c) 22 (d) -0.19195 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*y**3 - 49*y**3 - 63*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 20, 53 in descending order.\nAnswer: 53, 20, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - 1) + -36 + 45074\/620.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175 + -66. Let n = -105 + m. Is 23\/5 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 - 148312*h**2\/5 + 593224*h\/5 - 593216\/5.\nAnswer: 2*(h - 74152)*(h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149013 - 51940. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**2. Let i(c) = 4*c - 3. Let n be i(2). Let m(j) = 5*j + 74. Let l be m(-14). Let o(a) = l*a + 16 - n*a - 16. Determine o(y(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 775250136 a multiple of 1704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4602 = -97*j - 99*j - 571*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 4*h**2 + 5*h + 9. Let k be g(-3). What is the first derivative of 1 - 3 + 4*j**3 + 10 - 8*j**k wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 487 + 16*v + 1321 - 829 - 2*v**3 in the form i*v**3 + w*v**2 + f + q*v and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 378*q + 53212. Calculate w(-140).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25001 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193.3965 + -0.3965. What is the second biggest value in f, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25003 + 54108. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26034615 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 3*s + 13. Give i(-11).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1002301 or -1002293?\nAnswer: -1002293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51 - -b15?\nAnswer: a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 10:21 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -35 + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {c: 1, n: 2, h: 4, o: 2, t: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/(-20)*-5*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 10*p**2 + 27*p - 4*p.\nAnswer: -12*p**2 + 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 96068 = d, 4*d - 34642 = 3*k + 349561. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Suppose 2*v - 2*d + 10 = 0, -b*v = v - 3*d + 19. Let q(h) = -h**2 + 4*h - 3. Let t be q(3). Is t < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*j + 77*j**3 + 476*j + 344*j + 72*j + j**2 wrt j?\nAnswer: 462*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 462*o + 15729. What is t(-34)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18432629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + sqrt(1331))**2.\nAnswer: -8040 + 396*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-545)\/2*(-32)\/40. Suppose -3*c + 2*u = -166, 2*c - 2*u = -2*c + h. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41, 94, 159, 242, 349, 486, 659?\n\"Answer: x**3 + 46*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/163 - 664\/5705. Let a = u - 5\/7. Is a at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -2\/11, -0.5, -3, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 42490388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*f + 4*f. List the prime factors of (1\/2)\/(7\/f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/13)\/k**(-3\/11))\/(k*k**(2\/3))**13 assuming k is positive.\nAnswer: k**(-9244\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -86 * -9222945\nAnswer: 793173270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, c: 4, r: 1, n: 5}. Give prob of picking 1 g and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b + 23*b + 179*b + 13*b - 7.\nAnswer: 272*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f**2 - 5*f + 3. Let p(h) = 5*h**2 - 2*h + 1. Let s(r) = 5*p(r) - 2*w(r). What is s(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 - 6 - 30*j**3 + 5*j**3 + 3. Let a = 1768 + -1773. Let l(q) = q**3 - q**2 - 1. Let u(r) = a*l(r) + s(r). Differentiate u(d) with respect to d.\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/11 and 23\/1142.\nAnswer: 12562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -533, -1172, -2063, -3206, -4601?\nAnswer: -6248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 29178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/23621 and 13\/724983.\nAnswer: 9424779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5406, 7186, 8966?\nAnswer: 10746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 333831456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(833) + sqrt(833)*2 + sqrt(833))**2)*4*-4 + 2.\nAnswer: -213246 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -51. Let h(j) = 2*j - 6. Let c be h(5). Suppose -a + 10 = -3*w, -3*a + 34 = 5*w + c. Calculate the highest common divisor of a and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 4*o**2 + 5*o + 5. Let n(p) = -14 + 1 - 1 + 11*p**2 + 12*p**3 - 14*p - 7*p**3. What is 4*n(x) + 11*z(x)?\nAnswer: -2*x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/1791 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 20, 52 = 5*o + 5*i + 3 - 31 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 24316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 3. Let p be t(-6). Let a = -50 - -69.5. Let o = 19.6 - a. What is the third smallest value in o, -4, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*k - p, 0 = -7*k + 2*p + 7 + 1 - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u - 45 - 38 + 84 + (-2 + 2 - 2)*(-1 - u + 1))*(-6*u + 2*u + 3*u + (3 + 3 - 4)*(0*u - u + 0*u) + 5*u - 4*u + 0*u).\nAnswer: -44*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 877*q + 8885. Let d be f(-10). What is the highest common factor of 40940 and d?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 271599978 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 204058492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2251900084 to the nearest integer?\nAnswer: 47454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -17 (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from eoccccootcoooo?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4048146*x**2 + 42*x + 3835 wrt x.\nAnswer: -8096292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 219585073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154.82 - 150.82. Let v = -1.8 - -2. Let t = 166 - 3484\/21. What is the third smallest value in t, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 1:03 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o + 12. Let f be h(-6). Let k = f + 68. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 403. Determine q(48).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 3*v + 7. Let b be y(4). Suppose -b*i = -6*i + 9. Factor -2*r + 4\/3 + 0*r**2 + 2\/3*r**i.\nAnswer: 2*(r - 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(4\/1) + 1. Let v(f) = -n*f + 3*f + 3*f - 2*f. Let b(k) = -1 + 6*k + 1. Calculate b(v(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 147 - 19. Let v = l + -245\/3. What is x in v*x**3 - 2\/3 + 0*x**2 + 2\/3*x**4 - 4\/3*x = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/491323 and -37\/1626?\nAnswer: 2947938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3594124.\nAnswer: -1\/1797062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o - 11. Let n(c) = 6*c - 5. Calculate -4*i(l) + 9*n(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 - -254. Suppose -135 = -4*u - h. Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/17? (a) 2\/5 (b) -2\/21 (c) 0.1 (d) -221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2. Let m(v) = -21*v**2. What is m(t(c))?\nAnswer: -336*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 72 - 44 = -5*h, -512 + 16 = 5*k - 405*h - 36 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2. Let d(i) = 635600564*i**2. Determine d(y(f)).\nAnswer: 635600564*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67.776418 - 58.77641856. Let i = -9 + d. Round i to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**2\/2 - 4*l + 2. Suppose -2*u = -4 - 6. Suppose 3*a + t - 25 = 6*t, -2*a - u*t = 25. Give h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2904 and (101\/(-7777))\/(1*2 + (-2928)\/1442)?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 3*l - 105. Let g(x) = 9*x**2 - 7*x + 212. What is -3*g(u) - 7*h(u)?\nAnswer: u**2 + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -24, -20, 4, 54?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 752796827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {n: 2, j: 3, e: 6, d: 1, q: 4}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 310 - 306. Let x be ((-93)\/(-15) - 5)*10\/w. Solve x*q - 3*b + 8*b = 6, 4 = 2*q + 4*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25862 * -0.4\nAnswer: -10344.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101532 divided by -6\nAnswer: 16922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8365 smaller than 7754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297 - 312 + 609 - 9*q**3 + 19*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -68*u - 9 + 5 + 55*u - 17 + u**2. Let m be x(15). Suppose -3*g + 5*g = -10. Sort -4, g, m.\nAnswer: g, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32289\/(-2961) - -1*11. What is the smallest value in o, -18.12, 0.2?\nAnswer: -18.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (0 + 4)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -909 divided by -101?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.308ml in litres?\nAnswer: 0.133308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131537531, -131537544, -131537557, -131537570?\nAnswer: -131537583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -518017.99696 + 517976. Let q = 4229 + -4187. Let w = s + q. What is w rounded to four dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 50. Suppose -5*s + 0*s = -l. Suppose -74 - 210 = -s*g - r, 20 = 5*r. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6215\/110 + -57)*(2 + (-18)\/(-4))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -567, 2 in ascending order.\nAnswer: -567, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, -8, -5 in decreasing order.\nAnswer: 4, -3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282 - -282.1. Put -1\/9, q, -3\/7, 1.7 in ascending order.\nAnswer: -3\/7, -1\/9, q, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17489 - 7974 + 6174)*(-3*f + 2*f + 3*f)*(2*f + f - 4*f).\nAnswer: -31378*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = -2. Let k be x*(-3)\/(-6)*0. Find w, given that 3\/5*w - 21\/5*w**3 + k - 6\/5*w**2 - 12\/5*w**4 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -d + 18, -4*b + d = 12 + 3. Let c(i) = -2*i - 1. Let v be c(b). Suppose -4*n + 4*j + 28 = 0, -19 = 5*n - 10*n + j. Sort n, -3, v.\nAnswer: -3, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2414 - -2412. Let i(x) = x**3 - 2*x**2 + x - 3. Let t be i(3). What is the closest to t in v, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 d when three letters picked without replacement from {p: 3, s: 2, n: 3, a: 8, d: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (59 + -12 + -29 + 1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -436 + 6?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-141)\/27 + (-7 - 260\/(-36)). Let u be -3 - q - (-3)\/(2 - 5). Solve u = -3*c + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-23)\/(-20)*60\/(-48)*3\/(-60) and -95\/6?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70.47 + 70. Let g = -0.97 - j. Put -2, g, -4\/3 in decreasing order.\nAnswer: g, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 12 = d, 6170*w - 6173*w + 17 = d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f - 32. Let i be c(5). Suppose 8*a + i = 1995. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2427, 4780, 6799, 8340, 9259, 9412, 8655, 6844?\nAnswer: 3835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 18*d - 6*d - 380 = 0. What is the remainder when 2021 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.384315mg to kilograms.\nAnswer: 0.000000384315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -49, -114, -205, -322, -465?\n\"Answer: -13*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Is 92*(u\/(-2))\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) + (1*sqrt(22))\/sqrt(11)) - (-2*(sqrt(1088) + (sqrt(1088) + 1 + sqrt(1088))**2 - sqrt(1088)) - sqrt(1088)).\nAnswer: 145*sqrt(17)\/2 + 8706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 6*q - q. Let n = 1326 - 1293. Let v be 9*22\/n + -6. Solve v*x - 4*x = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -150952*n. Let s(v) = 2*v. Determine j(s(d)).\nAnswer: -301904*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2492, -2494, -2496, -2498, -2500?\n\"Answer: -2*k - 2490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 5. Let q be 3\/6*(1 + -3). What is the remainder when (-2 + 6)\/(q\/(-4)) is divided by k(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5\/2 - 507*c**4 - 24912*c**3 + 3488016*c**2 + 36879360*c = 0 for c.\nAnswer: -196, -10, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/5 (c) 2\/159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z + 2. Suppose 0 = 271*p - 292*p + 105. Solve -q = z - 6, -p*q + 14 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.2 + -5.228. Let b = x - -0.028. Let m = -3 - -2. Sort -2, b, m.\nAnswer: -2, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5 - 1430*i**4 + 22*i + 5 wrt i?\nAnswer: 20*i**3 - 17160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -33302?\nAnswer: -33300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:25 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 27 - (-159 + 228).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, 2, -2\/11, 10, -4.6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvvvvvqvvvv. What is prob of sequence qq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 12. Let m be g(-10). Is 698\/m + (-4)\/(-18) 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 56072897?\nAnswer: 4339, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14345402633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/392)\/((-1)\/((-24)\/(-3)))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**2 - n**2 - 5*n**2)*(-n + 3*n - n) + 3194*n**3 + 1337*n**3 + 2329*n**3 as t*n**3 + m*n**2 + c*n + o and give t.\nAnswer: 6858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 5*m**2 - 4*m. Let q(i) = -i**3 + i**2 + i. Let g(s) = -l(s) - 3*q(s). Suppose 5*a = -f - 14, a - 2*f - 4 = -a. Determine g(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -3, -1, 5, 6, -81, 186 in decreasing order.\nAnswer: 186, 28, 6, 5, -1, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11 - (0 + -1 + 0). Let w(x) = 5*x. Suppose -v + 5*m - 6*m + 15 = 0, -2*v = -3*m - 5. Let c(h) = 21*h + v*h - 15*h. Determine b*w(l) + 3*c(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 37. Let k(v) = 3*v - 14. Let p be k(z). Let b be (20\/(-80))\/((-1)\/8 + 0). Solve -1 = -2*w - p*l - 5, 14 = -4*w - b*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 15 = -2*s, 0 = -4*o + 2*s - 5*s + 5. Solve o*l - 10 = -5*i, 2*i - 3*l + 21 = -0*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*y - 10053 - 32100 - 23679. What are the prime factors of y?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -19. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/1306, -13\/4, 30\/103, -1?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -9\/4*j**4 + 6*j**2 + 3 + 5*j**3 - 12*j. Factor w(c).\nAnswer: -3*(c - 2)*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171272 divided by 271\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 100?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i + 5*p = -46, -i - 3*p + 6 = 0. Find the third derivative of i*l**6 + 15*l**2 + 0*l**6 + 2 - 2 wrt l.\nAnswer: 2520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1134235333 + -3?\nAnswer: 1134235330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 608123605 to the power of 1\/3, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2747 + -205.9747. Round m to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 288809, 288803, 288793, 288779, 288761?\n\"Answer: -2*l**2 + 288811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 518757.492 + 3.1\nAnswer: 518760.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1844253, 1844280, 1844339, 1844442, 1844601, 1844828, 1845135, 1845534?\nAnswer: 1846037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5561, -5564, -5567, -5570, -5573, -5576?\n\"Answer: -3*b - 5558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 150957 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f - 10 + 10 - 4 - 2*f**3 + 3*f**2. Calculate k(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-125))\/(2\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z - 39. Calculate p(3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(((-87)\/(-261))\/((-227338)\/6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 15. Suppose -3*c - 9 = -2*c. Let w be p(c). What is the greatest common divisor of w and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 3*n**2 + 2*n - 2. Give q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 799*q - 263*q - 5736 - 267*q - 272*q.\nAnswer: -3*q - 5736","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243950177 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6*(-2)\/(-120) + (-216)\/(-576). What is the closest to -11 in 312, w, 3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-2232)\/324) + (-19)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 10:25 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 815040 and 1560.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -g + 122, -24*x + 2*g = -28*x - 176. Is 28\/x + (-7)\/3 - -100 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(320) + -4*(sqrt(320) - (sqrt(320) + -2 - sqrt(320))) - (sqrt(125) + 0 + sqrt(125) + -3 + -3 + -2*sqrt(125)))**2 + -1.\nAnswer: 48*sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5) + -1 + -3 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4578 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by (-1 - -9) + 0 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162861 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from zvvvvyvvv?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 91 = -8*f. Let r be (f\/(-4))\/((-15)\/(-100)). Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Let u be -112 + 1*(-3 - -3). Let h = -453\/4 - u. Which is the smallest value? (a) p (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 4*m**4 + m**4)*(-3 + 5 - 1) - m**4 - 2*m**4 + 0*m**4 - 3*m - 2*m**4 + 3*m.\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3461, -3477, -3495, -3515, -3537?\n\"Answer: -c**2 - 13*c - 3447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2076 = p + 5*p. Round p to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/132*-33 - 8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1529 - 5969 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9*(-1)\/9*-3*2113.\nAnswer: 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -281.\nAnswer: -9\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208981 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -675 - 6261?\nAnswer: -7156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*1\/(4\/44) + -5. Suppose 29 = y*o + 41. Let x(s) = 3*s**2 - 2*s - 6. Let c(z) = -7*z**2 + 4*z + 13. Determine o*c(w) - 5*x(w).\nAnswer: -w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -3\/5 (b) -17 (c) 0.8 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -4\/5 (b) 31659 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o\/(o\/o**(3\/8)))*o**(-7\/6))**(10\/13)\/(o*o*o**(-2\/19)*o*o\/(o**(-3\/7)\/o*o))**(1\/15) assuming o is positive.\nAnswer: o**(-15515\/6916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7254434 is divided by 26476.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/21))**(-8\/5)*(b**(-13)*b)**46 assuming b is positive.\nAnswer: b**(-57976\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -583 - -610. Solve -3*x + k - 15 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 5, g: 3, i: 1, e: 3, d: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1921 - 62164 = -178*m - 785*m - 12083 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5 + 6*d**4 - 4*d**3.\nAnswer: -2*d**3*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2. Let f(l) = -2*l - 3. Let g(t) = -5*t - 5. Let y be 12\/54 + 50\/18. Let p(w) = y*g(w) - 5*f(w). Give r(p(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r**3 - 24*r**3 + 9*r**3)*((-2 - 4 + 2)*(-2 + 2 - 1) + 12 + 4 - 7) in the form j*r + n*r**3 + z + q*r**2 and give n.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -167, -251?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13527 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*l + 74, -4*l = 4*x - 19455 + 19399 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}