diff --git "a/data/dm_maths/full_data/1529_11255.jsonl" "b/data/dm_maths/full_data/1529_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1529_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Two letters picked without replacement from zrzrrzr. Give prob of sequence zr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111766, -111765, -111764?\nAnswer: -111763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-4)\/(-8))*(-2 + 8). Let k(y) = -y**2 + 8*y - 10. Let b be k(7). Let t = 6 + b. Is j <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354506229?\nAnswer: 3, 7, 11, 73079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 37*s - 674. What is the remainder when 14498 is divided by f(13)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 0, -12*j + 2*a + 7595 = -7*j. Suppose -74*z = -67*z - j. What are the prime factors of z?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2444591233 - 2444591192.99999916. Let y = k - 40. Round y to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -2*l**5\/5 - 5*l**4\/2 - 4*l**3 + 4*l**2 + 263*l. Factor y(s).\nAnswer: -2*(s + 2)**2*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 49*k + 6. Let y(z) = 5*z**2 - 92*z - 93. Let h be y(-1). Let l(u) = -48*u - 5. Give h*l(q) + 3*a(q).\nAnswer: -45*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 233853847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-1604)\/20 - (-14)\/(-35). Suppose z = 2*i - 706. List the prime factors of i.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.9 - -6. Let t = -1.06 - 0.07. Let d = t + 0.93. Which is the closest to n? (a) -1 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000343211 rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, -9.1, 14, 269\/33?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 5)*(-11378 - 37*b + 11378) + 2 + 0 + 11*b - 6*b.\nAnswer: 153*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*n - 194*n**4 + 81*n**4 + 59*n**4 wrt n?\nAnswer: -648*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(48))\/((sqrt(300) + sqrt(12) + sqrt(12))\/sqrt(6)).\nAnswer: sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53503750 - 3477316?\nAnswer: 50026434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -97, -76, -49, -16, 23, 68?\n\"Answer: 3*m**2 + 12*m - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 152*p**3 + p**2 - 6*p + 6. List the prime factors of d(1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((-783)\/232)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -82*j**2 + 30*j - 6. Let b(w) = 14*w**2 + w - 1. Let z(u) = -6*b(u) - l(u). Calculate z(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*x + 3147 = 0, 611 = j - 0*x + 5*x. Suppose 4*g + j = 875. Calculate the remainder when 70 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26194.\nAnswer: 2, 7, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 44*i**2 - 1973*i - 3957. Give t(-2).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (5 + 12) - (-5 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 4*z**2 - 9*z**4 + (-3*z**2 + z**2 + 4*z**2)*(-2*z**2 + z**2 + 0*z**2).\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 133. Let a = i + -83. Solve -6*m - 20 = -m, -5*n = -2*m - a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:31 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17872 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4 + (1 + 4 - 8)*(-1 - 4 + 4))*(4*v**4 - 4*v**4 + v**4).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - ((-36)\/3)\/(-3). Let y be 2\/4 - (-5)\/q. Let w = 0.3 + 0.1. Put 2\/11, w, y in decreasing order.\nAnswer: w, 2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from isoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12580 - 5045. Let z = 67748\/9 - n. Calculate the common denominator of z and -1\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -77\/5 in -1\/2, 4\/5, -10\/7, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/b**(1\/6))**(1\/22) assuming b is positive.\nAnswer: b**(-49\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g = 15. Let w = 2 + -2.1. What is the closest to w in g, 1\/6, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 299672 and 3895736?\nAnswer: 3895736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 118. Let p = t - -73. What is the nearest to 3 in 1, -1\/12, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14737529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4084 divided by 2042?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -2 + -13 + -10 + 16?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 4. Let n(u) = 17 - 37 + 16 + 3*u - 2*u. Determine 5*a(i) + 6*n(i).\nAnswer: i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80083 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.9. Let n = 0.01 - -6.99. Let r = n - 4. What is the nearest to t in 1\/5, 5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2460277 smaller than -31983606\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 2*b**4\/3 + 9*b. Let i(k) = 3*k. Determine v(i(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -142, -281, -422, -565, -710, -857?\n\"Answer: -w**2 - 134*w + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 228 = -5*d, -34 = -5*d - 3*u + 188. Calculate the greatest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 32*a**2 - 36*a - 79. What is x(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 1 = -u - 7, -3*z + 4*u - 7 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 - -99. Let i(u) = 2*u + 1. Let q be i(1). Suppose 2*x + 40 = 3*w - q*x, -5 = w + 2*x. Solve -10 = -0*f - w*f, -5*d + 2*f + 1 = n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**7\/168 + 11*h**6\/120 - 27*h**5\/80 + 25*h**4\/48 - h**3\/3 + 2*h + 45. Determine v, given that z(v) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + sqrt(684)*-1 - sqrt(684)) + -2)**2 - (sqrt(684)*4*-5*-1 + 4)**2.\nAnswer: -270855 - 1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 19*k + 33. Let f(c) = -3*c + 1. Let z(u) = 28*f(u) - 4*i(u). Is 7 a factor of z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 871533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 + 6*g - 8. Determine q(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 (base 6) in base 13?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/14))**27*d*d*d**(-42)\/d*d**(-4\/3) assuming d is positive.\nAnswer: d**(-2021\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1600 = -8*n - 15*n. Solve 2*k - n = -68 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmmzzmzhmzhmh. What is prob of picking 3 h and 1 m?\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 - 999625*w**2 - 136018360*w - 4625410320 = 0. What is w?\nAnswer: -68, 200061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85\/4 + -21. Let p = 19.2 + -16. Let z = -3 + p. What is the smallest value in l, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 10:20 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 + 1.4. Let s = -1.5 - -1.1. Put q, s, 0.2 in ascending order.\nAnswer: s, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 144, -8 in increasing order.\nAnswer: -26, -8, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 377 + 511. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*(-200)\/120*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34102 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 9*q + 8. Let u = 7 - 9. Let n be (1 + u)\/((-1)\/(-8)). Let t be c(n). Solve t*g + g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 27. Let f(j) = -4*j - 18. Give f(n(z)).\nAnswer: -4*z + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 3*h**2 + h**3)*((-3 - 1 + 2)*(4*h - 2*h + 0*h) - 5 + 5 + 2*h + 21*h - 190*h + 52*h).\nAnswer: -119*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/45 - ((-2)\/(-20))\/(6\/124).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 - 773*p\/2 - 172458.\nAnswer: -(p + 603)*(p + 1716)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajhaatjahattthtttkah. What is prob of sequence ka?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80 + 6 - 31 + 109*d wrt d.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2253, -9007, -20263, -36021, -56281?\n\"Answer: -2251*w**2 - w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-10))\/(25\/125)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3 - 21. Let t be c\/(-66) + 4470\/22. What is the highest common divisor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.1. Let x = 7 - 0. Let m = x + -7.3. Which is the nearest to 0? (a) n (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 + 78*g - 404. Give p(5).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31029726667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 16287.7 centimeters?\nAnswer: 162.877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 11*i + 4*v - 6*v - 117 = -4*i + 2*v, v = 6*v for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -662 - -674. Solve -5*o + 2 = -6*o, -2*o = -4*a - x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 14, l: 5}. What is prob of picking 4 f?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4806 = 12*d + 870. Solve -2*j - 330 = -d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 27 = 2*x, -3*n - 3*x - 11 = -7*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2*(-3)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4763 and 515066057.\nAnswer: 4763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244227*n**2 - 41749*n**2 + 285978*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 not equal to 654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579648126.\nAnswer: 2, 3, 2053, 47057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77459433.0000092 - -77459382. Let v = 51 + k. Round v to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -i - 3*z, -z - 3 = i - 3*z. Suppose i*k - 67 = -28. Do k and 13 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) + ((-156)\/(-27))\/1. Let h(u) = -u**2 + 8*u - 9. Let b be h(d). Let l(v) = v. Let k(z) = 4*z + 2. Let g(w) = b*l(w) - k(w). Determine g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -613, -2265, -5017, -8869, -13821, -19873, -27025?\nAnswer: -35277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -60*c + 185. What is v(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 519 - 50. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 7:59 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 3*x**8\/112 - 43*x**7\/210 + 239*x**5\/15 - x**3\/6 + 123*x**2 - 3. What is the third derivative of l(u) wrt u?\nAnswer: 540*u**2 - 1032*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**8\/21 - r**5\/5 - r**4\/24 + 34*r**2 + 1. What is the third derivative of a(g) wrt g?\nAnswer: 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c - 282432. Let m(f) = 114*f + 1. Calculate m(i(y)).\nAnswer: 570*y - 32197247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/((i**(-2\/3)*i)\/i)*(i**(-1\/3))**(-2\/53))**(-19) assuming i is positive.\nAnswer: i**(323\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170 + 3?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6487993 divided by 1?\nAnswer: -6487993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-14)*67\/134?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 2*y**3 + 4*y**3 + (-4*y**2 + 0*y**2 + 3*y**2)*(2*y - 4*y + 3 + 3*y))*(-2 + 6 - 1).\nAnswer: 3*y**3 - 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58598 is divided by 111?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*p - 263*p = 9 + 58. Let b(h) = -29*h - 17. Determine b(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 357107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {e: 4, i: 7, b: 2}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -1282 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -6. Let j = o + 6. Which is the closest to 2? (a) -2\/3 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 + 108. Let i(w) = 13*w. Let x(l) = -480*l. Let g(a) = u*i(a) - 3*x(a). Let o(j) be the third derivative of -j**5\/60 - 369*j**2. Calculate g(o(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -4*x - 2*o, 112*x - 110*x - 7*o + 81 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 0*t + 15\/4*t**4 + 0*t**3 + 3\/2*t**2 - 8. Find the second derivative of m(r) wrt r.\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p*s**2 + p*y**3 - 1523*p*y**2 - 42*p - 3*s**2*y**2 + 27*s**2 - 2130*s*y - y**3 wrt p.\nAnswer: -s**2 + y**3 - 1523*y**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/60*4\/(-10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + (sqrt(200)*-2 + sqrt(200) - sqrt(200))**2.\nAnswer: 10*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26.14, 0.3, 8\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 388 (b) 12925 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 28*c - 130. What is m(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1317.5771 and -93199.\nAnswer: -94516.5771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136094*d**4 + 14*d**3 - d**2 - 40934755*d - 1.\nAnswer: -3266256*d + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.4. Let i be (-7)\/(-20) - (-4 + (-90)\/(-25)). What is the nearest to -0.1 in 1, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30262000 rounded to the nearest 100000?\nAnswer: 30300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 8*g**2 - 3*g - 19. Let p be z(-8). Suppose 0*k - 10 = -p*k. Solve k = -4*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/594292 and 49\/3120.\nAnswer: 463547760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 7. Suppose y + 6 - a = 0. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/99 and 19\/77?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 + 7*i + 5. Let q = 18 - 23. Let l be z(q). Let w = 10 + l. Which is greater: w or 7\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 988 - v**3 - 49*v - 323 - 330 - 3*v**2 - 329 to c*v**2 + t*v + x + z*v**3 and give t.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 545?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -0.4 (b) 0.4 (c) -0.1 (d) -10 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllggllgggglg. What is prob of sequence gl?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9}. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13581781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -19\/4, -8, -0.16, 3, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g**2 - 8*g + 9. Let v be x(6). Let l = 0.562 + -0.062. Put v, l, 0.4 in decreasing order.\nAnswer: l, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 42*g = 4. Let l(v) = v**3 + 2*v**2 - 3*v - 4. Let c be l(g). Suppose 4*y = c*y + 76. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-30) - (-430)\/6. What is the greatest common divisor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-10) - 0) + 6578\/55. Let l = -107 + d. Solve l = 3*j + 2*y, -1 - 9 = -2*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9691.9983897 - -9692. Round i to 5 dps.\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101844 and 42815972?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 48\/2)\/((-33)\/(-704)). Let z = 484 - l. What is the remainder when 247 is divided by z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:17 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 4*f - 3*f)*(f**4 + 3*f**4 - 5*f**4 + (10*f - f + 0*f)*(4*f**2 - 2*f**3 - 4*f**2)).\nAnswer: -19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-22)*8\/12. What is the nearest to 0 in v, 0.3, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 112774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 a when three letters picked without replacement from {q: 8, a: 1, w: 3, n: 1, b: 4}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 5*u + 26. Let x be k(8). Suppose -x*m + 4*m = 4*t - 6, 2*m + 3 = t. Let f be -1*(m - -1)\/3. Sort f, 5, -1\/4, 0.05 in descending order.\nAnswer: 5, 0.05, f, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 611766 divided by 4\nAnswer: 305883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 48. Let f be (0 - (-2)\/4) + 1987988\/a. Let t be f\/(-7) + 12\/42. What is t rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358771 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*x + 1097 + 14*x + 10*x - 92*x + 2*x**2.\nAnswer: 2*x**2 - 27*x + 1097","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - b - 3*b + (-1 + 1 - 2*b)*(0 + 1 + 0) + (-15 + 3 + 9)*(-2 + 0 + 3)*(b - 2 + 2) + b - b - 3*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30, -1\/19, 2\/13, -29, 2\/7, 0.4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*i + 9. Let w = 6 - i. Suppose -2*l = w*l - 60. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - 39 - 30 + 69.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1625 = 27*a. Suppose -3*d + 28*w - 29*w + 39 = 0, -5*d = -3*w - a. Solve -2*g - d = -3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*f + 681*f**2 + 593*f**2 + 70*f + 1 - 38*f in the form j*f**2 + y*f + a and give j.\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 275470 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -168 - -1*28\/4. Let j = -157 - m. Solve -3*o - 16 = 4*v - j*o, -v - 23 = -5*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62725 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**7\/210 + 11*g**6\/60 + 23*g**5\/60 - 303*g**2 - 2. Factor f(q).\nAnswer: -q**2*(q - 23)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzzf when four letters picked without replacement from zzfxz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -708*l**2 - 6*l + 4*l + 700*l**2 - 5*l**3 + 80*l**3 in the form r + p*l**2 + x*l**3 + y*l and give x.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3229)\/3 + 27\/81. Is 12 a factor of a\/(-6) - 2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(171)*1*1 + (sqrt(171) - (sqrt(171) - (sqrt(171) - -3*-1*sqrt(171)))))\/(-1*sqrt(54)\/sqrt(6) + (sqrt(9) - (sqrt(36)\/(sqrt(4)*2) + sqrt(9)))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z**2 - 19*z + 1. Let g(y) = -7*y**2 - 19*y + 1. Give -7*g(r) + 6*k(r).\nAnswer: r**2 + 19*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6033 is divided by 960.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/13 in 3\/11, 4, 3, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 + -30164088.7.\nAnswer: -30163922.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -104*h**3 - 4*h**2 + 47*h + 116. Is r(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.6, -7, -3\/4, 3\/7, -1\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3306.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63909994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -1524.9 + 1524.90000011852. What is b rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/6*-3*-5. Suppose r + 16 = 2*p, -4*r = -2*p - 2*p + 28. Suppose 4*x + h = p*x. Calculate the remainder when 41 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12213*x - 2990*x + 2955068 = -18655*x for x.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -7*z**2\/2 + 9*z + 1659. Let m(o) = 8*o - 9. What is 6*m(s) + 7*q(s)?\nAnswer: -s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/577920 and 19\/1260.\nAnswer: 1733760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 1, e: 1, f: 7, g: 3}. What is prob of sequence fm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/4112 and -57\/1028.\nAnswer: 4112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 89317383.9 and -1?\nAnswer: 89317384.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q. Suppose z + 3*p = 4 + 2, q = z + 2*p - 5. Solve -z*n + 11 - 2 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*v**3 - 671*v + 671*v)*(-4 + v + 4 + (-3 + 5 + 0)*(0 + 0 - 2*v)).\nAnswer: 198*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from ppppmmmrmpprmppp?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5 + 4*a**3 - 6*a**4 - a**2 - 12*a + 2 + 5*a**2 + 6*a.\nAnswer: 2*(a - 1)**4*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - -9874?\nAnswer: 988a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 4*d + 1860 = 0. What is the greatest common divisor of 62 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.00685579 and -756.\nAnswer: -756.00685579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, w: 1, s: 2, p: 2, u: 1, c: 4}. Give prob of sequence wqps.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3859, -7709, -11559?\n\"Answer: -3850*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from gwifmggffwmwzgfzmff?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:59 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/20 - u**4\/3 - 3*u**2\/2 - 2*u. Let d(p) = p**3 + 14*p**2 + 12*p - 18. Let w be d(-13). Let a = w - -9. Determine k(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q)*(-3*q + 3*q + 3*q**2) + 3*q**3 + 15*q**3 - 6*q**3 + (-2*q**3 + 0*q**2 + 0*q**2)*(2 + 4 - 3).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g. Let l(j) = j - 5. Let i be l(7). Let h be d(i). Let q = h - -5. Sort -5, q, 5.\nAnswer: -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3608 and 673712?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8162?\nAnswer: 2, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/15 in -0.4, 23, -4, 2, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**3\/3 - 4*t**2 - 6*t - 2. Calculate j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199754072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -2 + sqrt(117) + 3 - (sqrt(117) + sqrt(117) + 0 + -2 + sqrt(117) + sqrt(117)))**2 + -5.\nAnswer: -36*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -69. Suppose 19*i = 9*i + 230. What is the remainder when m is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.8 + -13. What is the biggest value in 0.3, -1, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 109*k - 2698.\nAnswer: -(k - 71)*(k - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1)\/6*3. Sort -10, 2, u in ascending order.\nAnswer: -10, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5*l)\/l**(-9)*l*l**(-1\/4)*(l*l\/((l**(1\/21)*l)\/l*l))\/l*l)**(-49) assuming l is positive.\nAnswer: l**(-9821\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**3\/6 + 13*w**2 + 16*w. Let h be o(-12). Suppose -12 - h = -u. Which is smaller: 27 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/2*(5\/10)\/1. Let d be x\/(18\/(-27) + 338\/480). Suppose -2*v + 96 = -m, 2*v + 3*v + 3*m = d. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -2 (c) 2\/11 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36497, -36483, -36461, -36431, -36393, -36347, -36293?\n\"Answer: 4*x**2 + 2*x - 36503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwznrwzrwwwn. Give prob of sequence nwzz.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454104822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5825 + 5828. What is c in 22\/5*c**2 - 2*c + 26\/5*c**f - 6\/5*c**4 + 0 = 0?\nAnswer: -1, 0, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84 - -14?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:14 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 507?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 3*t**2 + 2*t - 3*t**3 - 2*t in the form k*t**3 + s*t + c*t**2 + p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -0.00867606\nAnswer: 3.99132394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8357309*f**2 + 704074696*f wrt f?\nAnswer: 16714618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7747, 31061, 69939, 124381, 194387?\n\"Answer: 7782*x**2 - 32*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/(-16) + 2 - 5643\/(-15048)) + 116\/2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2089, -24, 1, -1 in decreasing order.\nAnswer: 2089, 1, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926635657.\nAnswer: 926635657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 2, z: 4, e: 1}. What is prob of picking 2 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -282, 0.1, 3 in ascending order.\nAnswer: -282, -5, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132719 is divided by 1440.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 375\/7 - 150\/7*j - 180\/7*j**2 - 3\/7*j**4 - 6*j**3 = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 4*x**2 - 16*x - 50. Calculate w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.099976 - 0.1. Round a to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135428104441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001296157 to seven dps.\nAnswer: -0.0001296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-105)\/6))\/((-14)\/196)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 - 1. Suppose -13 = -7*r + 1. Let z(s) be the first derivative of -5*s**3\/3 - s**2\/2 + 2*s + 1. Calculate r*z(k) + 3*u(k).\nAnswer: 2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -459, -460, -461, -462, -463?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvnd when four letters picked without replacement from {t: 3, d: 1, n: 6, v: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 428666037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48471*y**5 + 129*y**3 + 135812*y**2 + 1233*y wrt y?\nAnswer: 2908260*y**2 + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**2 - 358*o - 2186. Determine u(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-75)\/(-11) + -6*(-3)\/99. Suppose -h - 3*x - 1 = 0, 5*h = -5*x - 2 + q. Solve -h*y + 3 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**4 + 1960*j**3 + 28425*j**2 - 1960*j - 28420 = 0.\nAnswer: -14, -1, 1, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:37 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/4 - 2181*f**2\/2 - 1475673*f\/4 + 740019\/2 = 0. Calculate f.\nAnswer: -917, -538, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -18973 + 41708. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 870, 443, 0.01 in increasing order.\nAnswer: 0.01, 443, 870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -43*x - 399. Determine p(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*j + 20 = -6, 3*h - j = 13. Let c(q) = q**2 + 4*q + 4. Suppose 5*f + 14 = -6. Let i be c(f). Solve -u = 5*w - h, 4*w = -5*u + 13 - i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*b - 27, 5*z + 2*b = 4*b - 174. Is 5 a factor of 10*((-10)\/7)\/(z\/63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 7. Let n be (d + -7)\/(2\/(-6)). Solve 4*a = 4*i - 6*i + 8, -n*a = 3*i - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43310 * 36.\nAnswer: 1559160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.52 + -0.18. Let i = -0.69986 - f. Round i to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(2\/7)\/p*p)*p)**(5\/7)\/((p\/p**(-2\/21))\/p**(-3))*p*p**8*p**(-1\/3)*p\/p**2*(p\/(p*p\/(p*(p\/p**(-4))\/p)*p))\/p assuming p is positive.\nAnswer: p**(333\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.636888m in millimeters?\nAnswer: 8636.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*28\/24 - -2)\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2381439 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Let z be (h - (-15)\/(-6))*0. Are 7\/5 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5\/4 + 11*v**4\/12 - 11*v**3\/6 + 11*v**2 - 2*v + 105. Is g(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h**2 + 3*h - 3. Let t be j(2). Let q = 47 - t. Solve -q*w - 15 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136635 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 4707820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.19719353 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l - 28644 = 75671. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209.2 + -209. Let y be 1\/5 + (-7)\/5. Let z be (-2)\/((-4)\/(-1) + -2). Which is the closest to -1\/5? (a) z (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 19*k + 2. Determine d(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 591 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 - 8*i - 7. Let q(l) = -4*l**2 + 7*l + 6. Let h = -1088 + 1082. What is h*u(p) - 7*q(p)?\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5329*y**3 - 90885*y**2 - 428952*y - 343396.\nAnswer: -(y + 1)*(73*y + 586)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d - 16\/5*d**3 + 0*d**4 + 4\/5*d**5 + 0*d**2 + 0.\nAnswer: 4*d**3*(d - 2)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -16. Suppose -3*x - 60505 = 5*q - v*x, 5*q + 60475 = -5*x. Round q to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/23)*a)\/((a*a*(a*a**3)\/a*a)\/a*a)*(a*a**(-1\/3)*a)**(9\/8) assuming a is positive.\nAnswer: a**(-559\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4 - 7 - 14*c**2 + 3 + 8*c. Let i(h) = -3*h**2 + 0 + 9 + 7*h**2 - 3*h - 6 + h**2. Give -4*f(q) - 11*i(q).\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109 less than -16?\nAnswer: -15.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 4)\/(-5)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 2460 = -53*d - 86*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 16. Let t(r) = 6 + 234*r**2 - 114*r**2 - 121*r**2 + r**3 + r + d. What is t(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*j = j + 1053, 4*j - 432 = -2*h. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -96*h**3 - 2*h**2 + h + 1. What is g(1)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -23. Suppose m = -4*m - 100. Let g be (-6)\/(-5)*m\/(-6). Solve -y*k + 2*q = -2*k + 2, g*q - 4 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/4365 (b) 6 (c) 3.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 9*g**2 - 8*g - 82. Calculate d(-6).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 50\/149 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 1922*f - 431262 = 628*f + 1161*f for f.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1095, -1741, -2387, -3033?\nAnswer: -3679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -51*z + 9. List the prime factors of x(-4).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {v: 2, b: 5, s: 6}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19138.\nAnswer: 2, 7, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 80202.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-8) - (-341)\/124. Suppose 0 = t - 5*c + 38, g*t + 173 = -2*t - c. Let i = 37 - t. What is the highest common divisor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 + (-116)\/12 + (-10)\/(-6). Suppose -l - 37 = -4*x, -l = -w*x - 4*l + 39. What is the greatest common divisor of x and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3*s - 265*h**3 - 9*h**2*s - 16*h**2 - 1981*h + 1856*s wrt h.\nAnswer: 18*h*s - 1590*h - 18*s - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*p - 47*p**2 + 64*p.\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3*z + 3 - 3)*(27*z + 332 - 332)*(-z - 4*z - 3*z) in the form h*z + b*z**2 + x + v*z**3 and give v.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 - (-3 + 24 + -27 - -34).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 0*f + 0*f**3 - 3\/2*f**2 - 1 - 1\/2*f**4. Find the second derivative of x(a) wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6928792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - z + z)*(449*z + 576 + 452*z - 900*z) - 2 + 2*z**2 - 6*z**2 + 0 to the form p + x*z**2 + t*z and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*y - 239*y + 99 = 0. Solve -y*d + 15 = -36*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3 + 3*m - 2 + 1 - 4*m. Let o(k) be the first derivative of 1 + 17*k + 5\/2*k**2. Give 9*g(j) + 2*o(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -4373?\nAnswer: -104952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/24 and 7\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j + 5*s, 8*j - 23 = 5*j - 5*s. Solve j = 3*g - 4*v + 26, -3*v + 25 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111044 divided by -6532.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*r + 5*d - 4, 3*r = -4*d + 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8297 = -7032*v + 7536*v + 1279 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 5, -196, -0.1, 1\/3, 852?\nAnswer: 852","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -33506.2 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006071 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94101 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 208794?\nAnswer: 208798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 824875631 to the power of 1\/2, to the nearest integer?\nAnswer: 28721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 294\/29 + -5065\/348. Let k be (3 + 8820\/(-25))*2\/(-3). Let c = k - 18691\/80. Find the common denominator of c and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (102278829\/(-1))\/(2\/(-2 + 0)). Let q = k + -70778829. What is q rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d + 92. Suppose -9*h + 7 + 83 = 0. Let p be v(h). Solve -11*o = -p*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 2800716?\nAnswer: -2800709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*k**4\/11 - 698298*k**3\/11 + 872848*k**2\/11 + 1047432*k\/11 = 0. Calculate k.\nAnswer: -3\/4, 0, 2, 87286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6 + 3\/12*1. Put v, -4, -0.3, -1.1 in ascending order.\nAnswer: -4, -1.1, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from gikiugccgzigigg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4 + 4 - u**3 + 1. Let g(d) = 5*d**4 - d**3 + 8. Let m(z) = f(z) - g(z). What is the derivative of m(r) wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 908 and -14*(5 - 180\/35).\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 16 = 6*q - 4*j, 4*j + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -595, -2380, -5355, -9520, -14875, -21420?\n\"Answer: -595*o**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -1.8.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 132 = -4*d. Suppose -3*g + 296 + d = 2*x, x + 4*g - 162 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 10*w - 20. Give s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1681 - 1683. What is the closest to m in 4, -1\/4, 1, -40?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22*48\/32)\/(-9)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 6*z + z + 31, -3*v + 3*z + 15 = 0. Let t(j) = -j**3 - 5*j**2 - 6*j - 6. Let y be t(-4). Solve -y*x = 5*f - 16, 0*f = -f - 2*x + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*z + 5 = 0, 5*z - 126 + 1 = 5*b. Let f = -16 - b. Suppose f*v + 2*p = 198, -v - 1 = 3*p - 51. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/1157 (b) 171 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-96 - -110) + (-18)\/3. Suppose -4*q - 4*f - 116 = 0, q = -3*f - 6 - 19. Let c = q + 43. Is c less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/2 - 6679257*o - 120226869\/2 = 0. Calculate o.\nAnswer: -9, 4452847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820772485 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/135 and 58\/3.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 19037994.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2103 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, s: 1, b: 1, v: 1}. What is prob of sequence sh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 13482\/6703?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 63603 (base 8) to base 6\nAnswer: 322403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643*i + 648*i = 40 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9*b = 7*b. Let o(w) = -w - 6. Determine o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 10:10 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343630336.\nAnswer: 2, 7, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 3*r**2 + r - 3. Let y(z) = 2*z + 1 - 2*z + 2*z - 4*z + 3*z. Give -d(f) + 2*y(f).\nAnswer: f**3 + 3*f**2 + f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -39?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -763314.283 minus -1.171?\nAnswer: -763313.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1915040\/19 or 100791?\nAnswer: 100791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 - 6*i + 4. Let y be g(-6). Let a = 249 - 81. Let t = a - y. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*u**2 - 7*u**2 - 5*u**2)*(3*u + 0*u - 4*u) as v*u**3 + b*u + g*u**2 + r and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -13 + 621\/(-315) + 15. Let t(m) be the second derivative of -2\/21*m**3 + w*m**5 - 11\/105*m**6 - 5*m + 0*m**2 + 11\/42*m**4 + 0. Solve t(u) = 0.\nAnswer: -1, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6252*n*v + 2*n + 2735 wrt v?\nAnswer: 6252*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -294)*(-5)\/10. Let d = l - 143. Calculate the greatest common divisor of 25 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/11 - 15882*p**4\/11 + 20238*p**3 - 970342*p**2\/11 + 121488*p - 572760\/11 = 0. What is p?\nAnswer: -7955, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548, -825, -1102, -1379, -1656?\nAnswer: -1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2)*-5 - (sqrt(1377) + 2)**2.\nAnswer: -1381 - 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22568045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32667, -64938, -97213, -129486, -161751, -194002, -226233, -258438?\n\"Answer: m**3 - 8*m**2 - 32254*m - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5010 and 9519.\nAnswer: 95190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2 and 113\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1930 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 3)*(6*f**5 + 4*f**5 + 25*f**3 - 28*f**3) - 2*f**5 + 0*f + 0*f + (-3*f**4 + 7*f**4 - 3*f**4)*(4*f - 2*f - f) + 0*f + 0*f - 2*f**5.\nAnswer: 57*f**5 - 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 881992 and 246.\nAnswer: 2645976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 10 = -5*r, -50*r + 88*r = 3*b + 42*r - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 1 (c) 197 (d) -2\/13 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5\/7 + 12*q**4\/7 + 15*q**3\/7 + 6*q**2\/7 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**5\/3 - 13352*g**4 - 119980*g**3 + 2402464*g**2\/3 + 4215888*g + 4482240 = 0. What is g?\nAnswer: -10005, -12, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 66\/(-10) - (-320)\/32.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 121 + 2*a**2 - 118 - 37*a**3 - 12*a**3 as s*a**3 + z + r*a**2 + d*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14337 is divided by 92.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21 * 18\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + (-2 - (2 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11579, 11461, 11271, 11009, 10675, 10269?\nAnswer: 9791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 + -185. Suppose -u*i + 15 = -48*i. Put -2, -4, 1, i in increasing order.\nAnswer: i, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*z = 55, k + z - 27 = -2. Suppose -3*f - k = -j, 0 = -2*j + f + 18 + 27. Let x = 27 + -4. Is x less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Suppose -u - f*r = 2, -3*u = -5*r - 3 - 19. Suppose -2*q = u - 8. What is the least common multiple of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c8 - -a295?\nAnswer: 999a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 30. Suppose c = 5*k + 3*a - 2*a, 2 = k - a. Suppose -6*u = -5*u - 1. Sort u, k, -2.\nAnswer: -2, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -41*a - 30. Let g(y) = -10*y - 7. Let x(d) = 9*g(d) - 2*j(d). What is x(3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/4 - 22*l**3 + 726*l**2 - 10648*l + 172. Solve q(m) = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 34. Suppose -j = 5*n + 15. Let p(w) = -2*w - 15. Let c(k) = 3*k + 22. Let u(q) = 5*c(q) + 7*p(q). Calculate u(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29834 - 29561. Solve 14*u - z = -161 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-11 + 69 - 10 - -1 - -7) + 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 8 + h - 6)*(0*h + 2*h**4 + 0*h).\nAnswer: 2*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i\/(i*i\/i**(-3)))\/((i*i**(-1\/4))\/i**5)*(i**(1\/4)*i*i*i\/((i**2*i)\/i))**(-1\/24) assuming i is positive.\nAnswer: i**(-269\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53706772?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5766 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r - 3*r + 4*r in the form f + l*r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 + (-133 - (-5069)\/(-274)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206055307.\nAnswer: 397, 519031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 328 + -328. Suppose 8*a = -24*a + 928. Solve 0 = -6*j + 3*j - 5*f + a, 5*f - 20 = g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 20. Let v = o - 7.7. Which is the nearest to 0? (a) v (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w - w - 4*w as z*w + p and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*sqrt(108) + -4) - (-1*(sqrt(108)*-1 - sqrt(108)) + (sqrt(108) - (sqrt(108)*-1 + 3 + sqrt(108)))))**2.\nAnswer: 924*sqrt(3) + 5413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -3. Let a be 3\/(b - (5 + -4)). What is the closest to -1 in 2\/9, a, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3 + 3606*a**2 + 4233945*a + 1603636100 = 0.\nAnswer: -1385, -836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 4*a**2 - 4*a - 3. Suppose 5*m - 3*v - 48 = 0, 0 = v - 0 + 1. Let u = 5 - m. Let w be -2*(6\/4 + u). Determine c(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8697 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3981947 by 47.\nAnswer: -3981947\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2. Let f(r) be the third derivative of 0*r + 0*r**4 + 0*r**3 + 0 - 1\/60*r**5 - r**2. What is n(f(g))?\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*c + 140, 0 = 3*p - 0 - 6. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {p: 1, m: 1, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 - -56. Let l = i + 116. Solve 0 = k + w + 1, -3*w - 3 = -l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 72 - 77 - 9 - 77 + 238. Let v(q) = -q**2 - 6*q - 1. Let n be v(-5). Determine o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/16))**(6\/23)\/(d**(-17)\/d)**(-9\/5) assuming d is positive.\nAnswer: d**(-29763\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784297 is divided by 543.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2181171075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 44?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/8813?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + -15. Let x = -13 - v. What is the units digit of (x\/(-12))\/(2\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1177900936 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q + 132*q = 861 - 2751 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1274 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 60. Let o(d) = -3*d + 50. Let z be o(r). Calculate the highest common factor of 29 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5099, 5105, 5105, 5099?\nAnswer: 5087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 10) to base 3.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k = -11*k - w - 2, -4*w = k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**4\/4 - 13*z**3\/3 + 5*z**2 + 2*z - 2440. What is u(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10)**47\/(x**(-6))**(-1\/16) assuming x is positive.\nAnswer: x**(3757\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-9)*(94\/(-3))\/((-4)\/(-270)*5)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1501 + 20*q - 1501)*(-3*q + 3*q - q) - 140*q**2 + 12*q**2 + 48*q**2.\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 23 = -5*u. Suppose 12*c - u = -51. Sort c, 0, 3, -5 in decreasing order.\nAnswer: 3, 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -829711, -1659313, -2488915, -3318517?\n\"Answer: -829602*r - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 4*t - 9*t + 491, -154*t + 148*t = 3*v - 6*v - 591 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1195512 to the nearest 1000.\nAnswer: 1196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 10 = 0, 362*x + m = 360*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 3 + 119 + 92 + -236.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:48 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2128, -4259, -6390, -8521, -10652?\n\"Answer: -2131*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Let f(y) = 3*y - 3. Suppose 0 = 3*x - 13 + 1. Calculate the least common multiple of b and f(x).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853258779 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208\/12 + -16 - (-46732)\/6.\nAnswer: 2, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaeeeeaneaeaa. What is prob of picking 2 e and 1 a?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*q + 133890*a**3*q**2 - 2*a**2*q**2 - 246*a**2*q - 26*a**2 - 7*q**2 wrt a.\nAnswer: 48*a*q + 803340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5\/21 + 68*a**4\/3 - 1942*a**3\/21 - 1432*a**2\/21 + 4856*a\/21 + 3872\/21 = 0?\nAnswer: -242, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = -1. Let a be (-1)\/(1 + 0 + 0). Let h = -6.6 + 7. What is the closest to a in h, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42806931 divided by 141277?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -27*g**2 + 373*g + 23. Let m(x) = 14*x**2 - 186*x - 9. Calculate 5*m(h) + 2*n(h).\nAnswer: 16*h**2 - 184*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 29*y - 347. Let s be v(12). Suppose 0 = -11*b + 10*b + 1. Calculate the highest common divisor of s and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 53*j**2 - 23*j**2 - 27*j**2 + 3*j.\nAnswer: 3*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 24 = -106. Let o = -24 - r. Calculate the smallest common multiple of o and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 1142, 2583, 4602, 7199?\nAnswer: 10374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from ororolomnrnnlwnnrnn?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -537*n**3 + 5*n**2 + 19*n + 22. Let l be 4880\/(-220) + 2\/11. Let y be g(l). Round y to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9 - c**2 + 15 - 8. Let b be 4\/26 + (48\/(-104))\/(30\/140). Let p(j) = j**2 - j + 5. Calculate b*p(r) - 5*l(r).\nAnswer: 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/186)\/((-7917)\/5278)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 47*r**6\/360 - r**5\/60 + r**4\/24 - r**3\/3 + 4*r. Let a(w) be the second derivative of v(w). Is a(1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9264, -6580, -3898, -1218?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1463 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/2363, 20, -3\/35, 6, -7?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k + k + 2*k - 966*k + 1012*k + 2360*k + (k + 8*k - k)*(-3 - 2 + 4) to the form c + u*k and give u.\nAnswer: 2396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9254.29 kilograms in tonnes?\nAnswer: 9.25429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*z + z**2 + 83*z - 143*z + 473 as a*z**2 + o*z + y and give y.\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -66 (b) -0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171139 is divided by 7650.\nAnswer: 2839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4037 (base 8) to base 16\nAnswer: -81f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 7*j + 287 = 2*q, 0 = 5*q + 3*j - 665. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Let b be (-2)\/(2\/(-39)*3). Suppose -3*a + 2*y = b, -4*a - 4*y = -0*y - 16. Is g less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16837 - 16834. Which is the fourth biggest value? (a) 1.2 (b) 0.5 (c) 2\/15 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32122429.\nAnswer: 211, 152239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3809292435.\nAnswer: 3, 5, 13, 2170537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218014134 by -6.\nAnswer: 36335689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/225 and -97\/1404?\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 11\/6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/23)*w*w\/(w\/w**(-6)*w)*w assuming w is positive.\nAnswer: w**(-112\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 3. Let n be (-10)\/35 + (-180)\/7. Let p(z) = 4*z + 13. Suppose s = 6*s + 30. What is n*v(m) + s*p(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 79*v + 3767. What is m(115)?\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2d28 (base 16) to base 10\nAnswer: -11560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/7 - 1570*j**2\/7 - 133852*j\/7 - 261440\/7 = 0.\nAnswer: -688, -95, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - x - 4*x = 2, 5*z + 4*x - 2 = 0. Calculate the greatest common factor of 18 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -3\/8 (c) 0.1 (d) -4 (e) 2\/73 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*1)\/sqrt(5))\/(6*sqrt(32)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 2*f**2 + 5*f + 16. Let k be c(4). Solve -4*u - 26 = 81*l - 79*l, 32 = -4*l - k*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1333933 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 70*t**2 + 18*t + 130. Let k(i) = -20*i**2 - 5*i - 36. Let b(s) = -18*k(s) - 5*m(s). Let p(z) = -6*z**2. Give b(p(v)).\nAnswer: 360*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-four fifths of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9205545 from -0.32649.\nAnswer: 9205544.67351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16195 (base 13) in base 6?\nAnswer: 522334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7962860 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Suppose -5*h + 5 = -10, 4*h = -n + 16. Let d(f) = 2*f + 1. Calculate n*v(p) - d(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/48 - (-30)\/8. Suppose 0 = -3*k + 3*v + 144, 0*k + q*k - 5*v - 187 = 0. Let h = k + -13. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14638, 2\/11, 4, 5, -4\/7, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 13 + 7)*(2*b**2 - 2*b**2 - 2*b**2)*(-1 - 2*b + 1) in the form x*b**3 + m*b**2 + h + d*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + 12*d - 1. Let b be f(-4). Suppose 2*w - 4*t = 18, -2*w - 2*t = 2*w + 4. Let q = -6 + w. Sort 5, b, q, 2 in descending order.\nAnswer: 5, 2, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 2*x**2 + x + 25. Let a be i(0). Let b = a - 24. Is 1 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 33*t + 1127. Let s be h(-34). What is the highest common divisor of 1135 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*f - v, -2*v + 4 = 3*f - 4. Let h be f\/(-4)*12\/(-9). Determine u, given that 0*u - 3*u**2 - 7 + 3 - 7*u + h = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010723 is divided by 105?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (120\/50)\/(3\/(-10)) - (-9321)\/1170\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pprptmmptmpmmmpmmmr?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9752879mg?\nAnswer: 0.0000000009752879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*x - 6*x + 132 = 0. Solve 0 = 5*k - 5, x*d - 5*k = 5*d - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/314 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/(665\/20) - (-246)\/14. Solve -5 = -3*v - y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, j: 1, t: 1, h: 2, c: 1, n: 1}. Give prob of sequence hnj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 19217.\nAnswer: -19217.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 401.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 24*c**2 - 42*c + 54. Let n be b(-22). Solve -n = 14*u - 19*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 116 = -122. Let j(r) = 2*r**2 + 8*r - 37. Let x be j(s). Solve -4*m + x = -3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77681928 and 12264?\nAnswer: 543773496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2442 - 30131?\nAnswer: -33013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94542 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h - l = -9, h = -5*l + 3. Let y(t) = -t**2 + 8*t + 75. Let r be y(13). Solve 4 = -2*z, -r = -2*p + h*z - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11918*l**3 + 4*l**2 - 4*l**2 - 11917*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41\/6, 5, 2554, 3\/7, 0.2 in decreasing order.\nAnswer: 2554, 41\/6, 5, 3\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -522 + 522. Let y(v) be the second derivative of v**4\/12 + v**3\/6 + 9*v**2\/2 + v. Give y(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563782.\nAnswer: 2, 11, 71081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b - 15 + 15)*(0 - 3 + 2)*(b - b + b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/(-1*sqrt(8)))\/(sqrt(7) - (sqrt(7) - sqrt(252)*5)))**2 + (-4 + (sqrt(1250)*-2 + sqrt(1250))*4)**2.\nAnswer: 800*sqrt(2) + 9007201\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334976, 669951, 1004926, 1339901?\nAnswer: 1674876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035094033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-15) - 20724\/55. Let p be (((-5)\/(-2))\/5)\/((-47)\/t). Which is bigger: p or 120\/31?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*t = -14, -6*t = -3*t + 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaau when four letters picked without replacement from aaauauu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8888)\/(-606)*(-6)\/8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 113*q**2 - 2*q + 7. Let c(m) = -m**3 - 122*m**2 - m + 7. Let t(z) = 2*c(z) - 3*y(z). Find the second derivative of t(w) wrt w.\nAnswer: 6*w + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 2*m - 2*m + 4*m - 6 + 6 + (3 - 3 - 2)*(-3*m + 2*m + 2*m) - 3 - m + 3.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -333058\nAnswer: 333023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 6*g**2 + g - 10. Let h be f(-7). Let y = h + -27. Let r(b) = -b - 4. What is r(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(396) - (sqrt(396) - ((sqrt(396) + -1 - sqrt(396)) + 4))**2) + 5 + -3*(sqrt(396) + 0) + 4 + sqrt(396) + -1.\nAnswer: -394 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 53*u**4\/4 + u**3\/3 + 3*u**2\/2 - 8*u. Is g(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 12.8. Let o = -5 + 4.6. Let u = o - j. Put 2, u, -3 in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 19*i - 313, -w + 13*i - 51 = 16*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 - 322*d**4 + 3*d**3 + 4981*d**2 - 1.\nAnswer: 240*d**3 - 7728*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Suppose -64 + 14 = -k*r. Let s be r\/(-5)*(-1)\/2. Sort s, 0, 4 in decreasing order.\nAnswer: 4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/(-9)*(-3)\/1. Suppose 7*i - 4*n = 1094, -15*n + 446 = 3*i - 11*n. Calculate the highest common factor of f and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2 = v. Suppose 3*x = 4*b - 4, -2*x - v*b = -4*b. Suppose 9*s - 10 = x*s. Solve q + 6 = -q - 3*z, 0 = 3*q - s*z + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30 + 202*z**2 + 5*z**6 + 7*z**3 + 30 - 2*z**3 wrt z?\nAnswer: 600*z**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -28. Let d(x) = 6 - 2*x + t - 2*x**2 + 8 - 5. Let f be d(0). What is the greatest common divisor of f and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 12*d**2 + 30*d - 37. List the prime factors of q(15).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 - 11*w**2 + 2*w - 10. Give g(-5).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 785726 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17819*q + 143759*q**3 - 17819*q.\nAnswer: 143759*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c - 17. What is g(12)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -60. Let j = 135 + -110. Let y = g + j. Solve y = -r + 5*r - s - 12, 5*r - 2*s = 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Suppose o - 3*x - 17 = -0*x, -3*o + 16 = -2*x. Suppose -5*y - 4*u + 32 = 0, -3*u - 2*u + 23 = o*y. What are the prime factors of b(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10126, 20251, 30376, 40501, 50626?\n\"Answer: 10125*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 0, 2*u + 26 = 5*a - 300. Let f = u + 190. Suppose 1 = -b + 11. Calculate the remainder when f is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7180, -14324, -21468?\nAnswer: -28612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 89958, 179841, 269666, 359433, 449142, 538793, 628386?\n\"Answer: -29*k**2 + 89970*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.042 and -655.66.\nAnswer: 27.53772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*-2*(-15)\/12. Let u = -11 + l. Suppose -39 = 3*m - u*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/146445 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000689058 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiggiigggiiggigg. Give prob of picking 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -1b?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -25247562.7 to the nearest 10000.\nAnswer: -25250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 23. Let a be k(23). Which is bigger: a or -117?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 - u**3 + u**3 + (-2*u**2 - 3*u**3 + 2*u**2)*(0 + 0 - 2*u) + 2*u**4 - 3*u**4 + 4*u**4.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-20))\/((-10)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/3198*-26*(-4)\/((-4)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7156695 a multiple of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + 41*p + 25. Suppose 5*a + 2*k = 58, 0 = 3*k - 10 - 2. What is the smallest common multiple of a and n(-11)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 2. Let v be l(-6). Suppose -5*t + h = -0*t + 7, -v*h = t - 7. What is the second smallest value in t, 4, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842 = -6*o + 10592. List the prime factors of o.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37838*i**6 + 14*i**2 - 2*i - 81 wrt i?\nAnswer: -4540560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/78 (c) 3\/4 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122 - -608\/5. Let z = 1185 - 1189.87. Let t = z - 0.13. What is the nearest to o in t, -1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085 is divided by 171?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m + 2 = 278. Let l(p) = -4*p - 28. What is l(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2754)*-2)\/(-1*sqrt(242)) + (sqrt(153)*4)\/sqrt(9)*-1 + -4.\nAnswer: -26*sqrt(17)\/11 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 + 12*o**2 - 18*o + 8 = 0 for o.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -2846*z**5\/5 - 1287*z - 1296. Differentiate b(w) wrt w.\nAnswer: -11384*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -287 (base 10) to base 14.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0039 + 32.7039. Let j = m + -33. Let c be (2 - 0)\/2 - -1. Sort -3, -0.4, c, j.\nAnswer: -3, -0.4, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 669043.12?\nAnswer: 669039.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130001 - -1030130?\nAnswer: 300123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - -1) + (-50 - (-26 + 16 + -72))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5149652?\nAnswer: 2, 83, 15511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.9. Suppose 7*v + 65 = -6*v. What is the closest to s in v, -10, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 6*f**2 - 4*f - 3. Let d be n(-5). Let q be (-2)\/d - 22\/56. Let k be 4 + -5 + (-3 - -7). Which is the closest to 1? (a) -3\/5 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 39. Let b be 5*12\/(-15)*v. Let y(k) = k**2 + 5*k - 9. Let h be y(-7). Which is smaller: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**3 - 12*d**2 + 26*d. Let t(q) = -4*q**3 - 6*q**2 + 11*q. Give 2*c(h) - 5*t(h).\nAnswer: 4*h**3 + 6*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 224609 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110011000 + 110110?\nAnswer: 101111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:49 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 28 + 7. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268226, -268130, -268034, -267938, -267842?\nAnswer: -267746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 59. Do 6 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 8*m. Let g be (-4 + -1)\/(-12 + -2 + 13). Suppose -16*h - 99 = -g*h. Give d(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3679*l**5 + l**2 - 273*l.\nAnswer: 220740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5, -2, 0.4, -152?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s**2*v + 11*s**2 + s*v + 14*s - 183*v - 1 wrt v?\nAnswer: 3*s**2 + s - 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 7*i + 6. Let c(y) = -4*y**3 + y - 2. Calculate the remainder when c(-2) is divided by b(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, 1.35, 12, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - h**2 + 5*h + 5. Let x be o(-2). Let j be 1\/(x + 16\/17). Let s = -8 - j. Calculate the smallest common multiple of 3 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 2*w - 1. What is o(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -33*n**3 + 1321*n**2 - 1321*n - 196. What is p(39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 3131?\nAnswer: -3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -16341111.34 and 2.\nAnswer: -16341109.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/11 - 458*g**3\/11 - 20458*g**2\/11 + 44082*g\/11 + 64080\/11 = 0. Calculate g.\nAnswer: -40, -1, 3, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o + 1523. What is the hundreds digit of s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*s + 29*s + 192*s - 1.\nAnswer: 50*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4795 - 4793. Let s = -4.04 + 0.04. Which is the second biggest value? (a) s (b) f (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771\/21 + 16\/56 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.587 - 0.513. What is r rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*b - 235*b - 16254 = -149*b for b.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 39899600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 + 2*k + 8. What is the least common multiple of 26 and h(7)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-6)\/(-108)*-1*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2787.367849 - 2787.4. What is d rounded to four decimal places?\nAnswer: -0.0322","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/3)*k)\/k*k**16 assuming k is positive.\nAnswer: k**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 58002.426ns?\nAnswer: 0.000000000671324375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000867161 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 117 = -3*t, t = -3*m + 510 - 139. Does 41 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 2*d + 5, -3*d - 3*d + c + 27 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 + 4*r - 6. Let q(h) = -h**3 + 3*h**2 - 2*h + 4. Let c be q(3). Let w = -3 + c. Calculate l(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -1 (c) -2\/115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a342 + 3?\nAnswer: -a33d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 w when three letters picked without replacement from irrirriwrrreirrwr.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*r)*(209 + 385 - 3*r - 15).\nAnswer: -6*r**2 + 1158*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211120 (base 3) to base 11.\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**7\/168 + 7*v**6\/360 - 8*v**3\/3 + 5. Let z(i) be the third derivative of o(i). Find the third derivative of z(x) wrt x.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**7\/14 + 26*r**5\/5 - 5*r**3\/6 + 28*r**2 - 446*r. What is the second derivative of l(u) wrt u?\nAnswer: 60*u**3 + 624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 7*b + 6. Suppose -z - b*z - 12 = 0. What are the prime factors of ((-4)\/z)\/1*18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**4 - 5*d**2 + 2*d**2 - 2*d**4 + 2*d as t*d + h*d**4 + f + x*d**3 + b*d**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -1531, 129, -6, -5 in descending order.\nAnswer: 129, 2, -2, -5, -6, -1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 9:35 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1635*d - 2347*d = -1424 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 10. Determine g(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/45 + 104\/18)\/(-1). Let x(s) be the first derivative of -s**2 - 1. Does 4 divide x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - -3.97. Let b be (-2)\/8 - (-772)\/16. Let k be 8 + -5 - b\/14. What is the nearest to 0.1 in h, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 86?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2670 + 2650. Sort 1, -9, 0, 5, k in descending order.\nAnswer: 5, 1, 0, -9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 6*m**2 + 12*m - 108. What is j(6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 2:18 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -338b?\nAnswer: -3387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v. Let c be s(0). Suppose c = -3*t + 41 + 19. Suppose z = 5*z - t. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.1. Let v = m + 0.4. Is 0 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -212, -318, -424, -530?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + 994*r**2 - 2664*r + 2679. What is o(-334)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 - (1 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 14. Calculate the remainder when 26 is divided by y(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301, -593, -885?\nAnswer: -1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 76 = -0*n. Let y = n + -39. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u**2 - 3*u**3 + 13*u**2 - 3*u**4 + 6*u**2 to the form p*u**4 + b*u**3 + h*u**2 + o + m*u and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + k + 8 = 0, 4*a - 4*k + 29 = 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*h**2 - 9*h - 12.\nAnswer: -3*(h + 2)*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21325*s - 15341499 + 15341499.\nAnswer: 21325*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - 0. Let l = -100 + 195\/2. Put a, l, -1\/3 in decreasing order.\nAnswer: -1\/3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 8649.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -479*y - 2008. Calculate r(-4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7150)*-220*5?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 129*i**3 - 843*i**2 + 12225*i - 11250.\nAnswer: -3*(i - 6)*(i - 1)*(i + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 6 - 6 - 3*r**2 - r**2 + 4*r**2 - 5*r**2 + (-6*r**2 + 3*r**2 + 4*r**2)*(-5 + 0 + 3).\nAnswer: -7*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*-190*(-24)\/1368?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8033, 22751, 47269, 81581, 125681, 179563?\nAnswer: 243221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 27454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45644?\nAnswer: 2, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 + a**2 - 2*a. Let s(j) = 10*j**3 + 3*j**2 - 772*j - 4896. Let r(b) = 3*g(b) - s(b). What is the derivative of r(z) wrt z?\nAnswer: 6*z**2 + 766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -2*f**2 - 15*f - 12. Let a be z(-5). Solve a*b + c + 6 = -0*b, 2*b - 4*c = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 154? (a) 5 (b) 0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 1. Let s(x) = -x. Let q(v) = -v**3 + 5*v**2 - 4*v - 1. Let t be q(3). Let i = t - 2. Let o = -3 - -5. Give i*s(k) + o*w(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 0*b**3 + 1 - b + 0*b - b**3. Let s(t) = -6*t**3 - 4*t + 4. Let o = -4 - -5. Let j = 0 + o. Calculate j*s(m) - 4*f(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92391674 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2365 + -2367. Which is the fourth smallest value? (a) n (b) 5 (c) -1\/7 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14270, 14262, 14244, 14210, 14154, 14070?\n\"Answer: -r**3 + r**2 - 4*r + 14274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165954 or -166547?\nAnswer: -165954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10176 divided by 636.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + 3*b**3 + 0*b**3 + (0*b**2 - b**2 + 2*b**2)*(2*b - 3*b + 2*b) + b**3 - b**3 + 2*b**3 - b**3 + 0*b**3 + 2*b**3 - 21*b**3 + 35*b - 5*b**2 - 35*b.\nAnswer: -18*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3.1. Let z = -628 - -627.4. Which is the closest to w? (a) 3 (b) -1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.15 (c) 0.2 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0888 + -0.0588. Is c less than -3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.2 (b) 19 (c) 119 (d) 0.4 (e) 0.2 (f) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1*j*j)**(-6\/35)\/((j\/j**(-7)*j)\/j**4) assuming j is positive.\nAnswer: j**(-199\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23216 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:48 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s + 1. Let n be ((0 - 0) + -2 - 1) + 7. Let m be z(n). Does 21 divide (-1 - m\/(-10))\/(1\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hohh when four letters picked without replacement from ohhhhhohoh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 + 108. Suppose -f - 2*f = 3*k - 72, 4*k - a = -2*f. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 51*r - 3\/20*r**5 + 1\/10*r**6 + 0*r**2 - 1\/4*r**4 + 0*r**3 + 0 + 1\/14*r**7. Solve u(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 351533 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 29.17. Let n = 3.83 - o. Let g = -11\/4 + 13\/4. What is the third biggest value in g, -2\/3, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 i when three letters picked without replacement from {i: 3, q: 2, l: 1, k: 3, r: 1, g: 7}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w = 20001 - 18626 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t - 441 = -616 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7912*b - 2529*b + 9029*b to the form d*b + i and give d.\nAnswer: 14412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + f = -4*z - 16, 5*z + 65 = -5*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - s + 6569 = 0, 54 = -2*s + 42. Calculate the greatest common divisor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (260481\/663)\/(0 + 1). Let s = 393 - d. Sort s, -2, 2\/5, 0.11 in descending order.\nAnswer: 2\/5, s, 0.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 60*q**2 - 85*q**2 - 1 to the form b + o*q**2 + w*q and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubyjbwwbyuuujb. What is prob of sequence wu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r - 9. Let k(c) = -11*c + 26. Determine 17*h(m) + 6*k(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/220)\/(6\/20*75\/90)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-3)\/(-3)))\/(63\/21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Let r(m) = 0*m - a*m + 3*m. Let s = 13 + -18. What is r(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 5*w + 306 = 30 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j - 4*l - 12, 4*j + 4*l - 20 = 0. Suppose 5*r - 597 + 602 = 0. Put r, -3, j, 2 in descending order.\nAnswer: j, 2, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 1)*(4 - 1 + 93*h - 3) to l*h + f and give l.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -662.4104?\nAnswer: 2649.6416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.231, 739, -86 in descending order.\nAnswer: 739, 3, 0.231, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - j**3 + 3*j**2 + 2 - 2*j**3 - 15*j**2.\nAnswer: -j**3 - 12*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1128 + -968. Sort s, 4, 0, -3 in descending order.\nAnswer: s, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12716 and 2012596?\nAnswer: 22138556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {c: 1, t: 2, i: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.2 (c) 2.1 (d) 2 (e) -2\/53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**3\/3 - 5*z**2\/2 + 5*z. Give b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (237312\/(-44))\/(-4). Let p = -1349 - r. Calculate the common denominator of p and (-158)\/(-6) - (-16)\/(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 775.0457 minutes?\nAnswer: 46502742000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0233 in 800, 1\/4, -3, 28, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3782345*v**3 + 2*v**2 - 387*v - 313 wrt v.\nAnswer: 22694070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168*j**2*x**2*z**2 + j**2*x*z**2 - j**2*x + j*x*z + 3 wrt x?\nAnswer: -336*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = -1. Let p be (2\/4)\/((-4)\/128). Is 7 a factor of j\/2 + (-424)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 493.5634 litres?\nAnswer: 493563.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22433 greater than -22428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 3154 - 4*(-3)\/3. Suppose 12632 = 4*g - p, -7*g + 6*g + w = p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 419*i**3 + 6*i**2 + 4*i + 2. Let k(q) = -2*q**3 + 3*q**2 + 2*q. What is c(b) - 2*k(b)?\nAnswer: 423*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 726 - 358 - 368.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 = 4*d. Let z = 4 - d. Suppose 2*u + 3*i - z = 0, -4*u + 67 = -3*i + 22. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 18*j**2 - 4*j. Suppose 6*u - 11*u + 23 = 4*a, -3*a - 3*u = -15. Let r(t) = t**2 - 16*t**2 + 11*t**a. Calculate v(r(x)).\nAnswer: 288*x**4 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 136?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736733335?\nAnswer: 5, 13, 17, 666727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oko when three letters picked without replacement from uunko.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000280148095 to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyzzvzvzzzzztyy. Give prob of sequence zyv.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 1740*h**5 - 23792*h**4 - 34056*h**3 - 8464*h**2 + 60*h = 0.\nAnswer: -1, -1\/3, 0, 1\/145, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 2*(3 + sqrt(252) + -3 - (-2 + sqrt(252) + 2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2129896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69303767 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253118?\nAnswer: 2, 19, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - k + (-1 + 1 - 2)*(k - k + 2*k) - 11*k + 3 - 3)*(48126*k - 48126*k + 160*k**4).\nAnswer: -2720*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 23*m + 1. Let l(c) = 50*c - 75. Calculate -l(r) + 2*u(r).\nAnswer: -4*r + 77","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 2057\/22 + 1\/2*-1. Suppose 393 - t = 4*d. What is the lowest common multiple of 25 and d?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.9704 to 1 dp.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/5 - 6*i**3\/5 + 51*i**2\/5 + 404*i\/5 + 672\/5 = 0. What is i?\nAnswer: -7, -4, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5864 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-5)\/50*-2)\/2.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 + 317. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/9 - 0\/(2\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171675?\nAnswer: 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/30 and 538\/420 + (-14)\/1029*-21.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 8 = -16*q - 4*m, -4*q - 2*m + 10 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/4 - 177*l. Suppose 2 = -2*s + 4. Let q(v) = 7*v**2 + s - 1 + 7*v**2. What is q(b(d))?\nAnswer: 126*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j + 8. Let v(y) be the second derivative of 2*y**3\/3 + y**2\/2 + 21*y. What is v(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1034 + 734 = 8*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -3008331\nAnswer: -3008331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s**3 - 42*s**2 - 135*s - 202. Determine m(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 + o + 1. Let h be t(-1). What is the third derivative of 0*n**3 + 0*n**3 + 14*n**2 - 15*n**2 - h*n**5 wrt n?\nAnswer: -600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -5\/6 (c) 0.1 (d) 34.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/6 and 35\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 + 2*h**3 - 10*h**2 + 17*h. Solve t(w) = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 + 1\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let c(s) = 5*s + 0*s - 3*s. What is c(q(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 9262.\nAnswer: 9262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11*12\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/6601 and 52\/10373.\nAnswer: 72611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -16*c + 62. Suppose 60*a = 12*a + 190 + 50. Determine b(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -254 + 3?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 322 - -5c975?\nAnswer: 5cc97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 + 4*z - 19. Let w be o(-8). Suppose 0 = w*f - 18*f + 35. Solve 2*s + f - 1 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106.825797 seconds to days.\nAnswer: 0.0012364096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/6 + 7*l**3\/6 - l**2\/2 - 16*l - 19. Let b(g) be the first derivative of z(g). What is the tens digit of b(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -20. Suppose g - l = 2. Suppose -3*m + 11 + 31 = g*b, -27 = -3*m + 2*b. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1152 and 671931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2727 divided by 210.\nAnswer: -909\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q*v**3 - q*v**2 + q - 21*v**4 - 7*v**2 wrt v?\nAnswer: -30*q - 504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxa when three letters picked without replacement from {v: 4, a: 3, x: 6, c: 1, q: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2676)\/(-72)*1*6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*((3*z**2 + 2*z**2 - 3*z**2)*(-2 - 5 + 0) + 4 - 4 - 2*z**2) - z**2 + 3 - 3.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Suppose -4*p - 10 - 2 = 0. Let n be p\/((-1)\/(-4)*-3). Let f(s) = 4*s + 2*s - n*s + 2*s. Give f(o(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 4, g: 2}. Give prob of sequence gd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 13*z**2 - 6*z + 13. Let w be (-6)\/9*(4 - 93\/(-6)). What are the prime factors of l(w)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573527737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -217*b**3 - 2*b**2 - b + 2. Let w be o(1). Let x = 22 - w. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/103338?\nAnswer: -1\/103338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20825333?\nAnswer: 127, 163979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30209 equal to 151041\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuoo. What is prob of sequence uu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 2:51 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/((-26)\/65)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -7, 4, 19, 38, 61?\n\"Answer: 2*l**2 + l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -0*g + 2*g - 2*t, 5*g + 5*t = 170. Suppose 74*u = 70*u + 832. What is the highest common factor of g and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -190. Calculate the remainder when x is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1998 and 1554?\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3408 and 768?\nAnswer: 54528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 56*o**2 + 55*o + 116. Let b be k(57). Solve 25 = 5*u + b*l, -u - 2*l + 28 = 3*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + ((-15)\/60 + 90\/8 - 1). Solve -u*y = 27*y - 258 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7163 (b) -0.3 (c) 2\/7 (d) 4 (e) -0.5 (f) 3\/5 (g) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - 67. Give k(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 76320*c**2. Let g(k) = 4*k**2. Give o(g(z)).\nAnswer: 1221120*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11989, 12644, 13299?\nAnswer: 13954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((4 - -1 - 9) + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 3417?\nAnswer: 27336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 4. Suppose -4*y = -2*i + 2, i - k = 5*y - 3. Let d = -5.9 - -6. Which is the closest to d? (a) y (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 5743 + (-7)\/14*-2?\nAnswer: 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 6*w + 11. Let u be v(-3). Let a(m) = 90*m + 168. List the prime factors of a(u).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d + 0*d + 2*d - 10*d + 0*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -149171.416\nAnswer: -149171.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**3 - 175*r**2 + 6*r + 22. Calculate n(-25).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 7 - 1. Let i = l + 0. Let p = 8 + i. What is the highest common factor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/6)\/(4\/448).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 60 = -5*a - 4*b, -2*b = 5*a - 57. Let y be 4\/6 + 20\/15. Suppose 0 = 3*j - 4*l - 26, -j - y*l = 4*j. Solve j*r = n + a, -r + 5*n - 2*n = -13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6 + 2.6. What is the nearest to -1 in -2\/9, 1, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/4 and -19\/567517.\nAnswer: 2270068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*2*sqrt(8))\/(sqrt(4) + (sqrt(4) - -3*sqrt(8)\/sqrt(2))))**2.\nAnswer: 432\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*t = -125345, -1868*p + 2*t = -1865*p - 75216. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5617646 weeks to hours.\nAnswer: 94.3764528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from ggzttzow?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79 and -0.16156142048.\nAnswer: 78.83843857952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1116, -4450, -9986, -17718, -27640, -39746?\n\"Answer: v**3 - 1107*v**2 - 20*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040711 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 226856 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-32)\/12 - -2)\/(4\/(-462))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - i + i + 3*i - 2*i + i - 2 + 2 - i + (-3*i + 3*i + i)*(-4 + 0 + 2) + 12*i + 24 - 24 + 31*i + 21*i - 14*i.\nAnswer: 47*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 5*k + 316, -5*k - 2862 = 3*h - 2528 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -s - 5*p + 8*p, 0 = 2*s + 2*p - 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 21*m - 15*m = -73*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 78112 divided by -4\nAnswer: -19528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2880 in 68, -4, 2\/3?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 9. Suppose 5*b = -9 - 16, -4*b = -3*z + 122. What is the remainder when z is divided by k(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**9\/1512 + 13*i**5\/120 - i**4 - 7*i. Let d(k) be the third derivative of s(k). What is the derivative of d(r) wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 11 = 9. Solve 0 = -j + w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3211*f**3 + 41393*f**3 + 16376*f**3.\nAnswer: 60980*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/6 (b) 0.3 (c) -2479 (d) 128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 14*v = 0. Solve 5*w - 4*t - 6 = 2*w, 2*w + 5*t + 19 = v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1978\/31 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -711 - -706. Sort p, 3, 2, -8.\nAnswer: -8, p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*o**3 - 168*o**2 - 219*o - 90.\nAnswer: -3*(o + 1)**2*(13*o + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from ucszvssucug.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 92*-0.28\nAnswer: -25.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 350819519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*z - 109*z + 864 = 0. What is the remainder when z is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j + 12. Suppose 11 = -6*s - 7. Let v be -4 + (s + 4 + -4)\/3. Put j, v, -4, -6 in descending order.\nAnswer: j, -4, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**4\/24 - 2*a**3\/3 + 6*a**2 - 6. Let j(h) = -1. Let f = 10 - 12. What is f*j(q) + u(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 13, p: 1}. What is prob of picking 2 v?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -991 - -990. Which is the closest to -37\/5? (a) 2 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265001687 a multiple of 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2006392 and 18.\nAnswer: 18057528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-10) + 2145\/25. Suppose -j - 2*j - 104 = -5*p, a = 4*p - j. Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:35 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 2*q**2 - q - 2. Let p be i(3). Let t be p\/((-5)\/((-5)\/2)). Let j(o) = -o**2 + 5*o - 5*o - o**t. Let w(x) = -5*x. Calculate w(j(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (4 - (4 + -7)). Suppose l = 7 + v. What is the greatest common factor of 39 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/20 and 149\/24540.\nAnswer: 24540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(320) + sqrt(20)\/sqrt(36))**2 + 4 + ((sqrt(35) + sqrt(560))\/sqrt(7) - sqrt(5)) + 4 + sqrt(80).\nAnswer: 122*sqrt(5)\/3 + 12086\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1 - 3)*(10 + 42 + -5).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 17 + 9. Suppose 0 = -q*z + 25*z + 595. Suppose -6*n + n = -z. 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 7:55 PM and 7:24 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 707, 1269, 1669, 1907, 1983?\nAnswer: 1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 899 = 5*k - 0*i, -5*k + 907 = 3*i. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4498*x**2 - 4*x + 13. Is s(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -458 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.63 smaller than -25.1445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6 - 3*d - 4 + 3 + d**2. Let s be (10\/(-1))\/(-1 - 1). What is r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 - 41*s**2 - s + 58. What is the least common multiple of 6 and y(14)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 7*g**2 + g**2 - 7*g**2 - 2*g**2 + 3*g in the form z*g**2 + s*g + y and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*m + m + 0*m)*(4 - 1 - 4) - 5*m - m + 5*m)*(0 + 0 - 2) to the form l*m + z and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttotottto. Give prob of sequence ottt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5486 + 16148\/3. Let v = b + 104. Find u, given that u**4 - v*u**3 - 2\/3*u**2 - 1\/3 - 1\/3*u**5 + u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(3737\/(-222))\/101.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -10b6?\nAnswer: -10b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 742, 1485, 2242, 3019, 3822, 4657?\nAnswer: 5530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 10:27 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4443*d**2 + 51616?\nAnswer: -8886*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 + 157 + 608)*(8*j - 11 + 11) to the form t + i*j and give i.\nAnswer: 6400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*q = -13, a + q + 23 = -4*a. Let m(v) = v**3 + 3*v**2 - 6*v - 9. Let d be m(a). Which is greater: d or -1\/245?\nAnswer: -1\/245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 434*g + 774 + 94 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1778*p**2 - 267*p**2 - 272*p**2 + 2311*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/44 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**2 - 5*y**2 - 7*y**2 + 23*y**2.\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 2237276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (8\/2)\/(52\/(-78)) - -557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160 - 154. Suppose c*z - 3*z - 101697 = -3*v, v = 5*z + 33905. Round v to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1, 3\/4, 0.4, 41, 303?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163379 or 1633797\/10?\nAnswer: 163379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.1. Let x = 21.9 - 17.9. Let q(o) = -o**3 - 7*o**2 - 5*o + 7. Let s be q(-6). What is the closest to u in s, 2, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1230 and 14.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9755, -6, 0, 4 in decreasing order.\nAnswer: 9755, 4, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-114)\/(-399) + (0 - 18\/14). What is the closest to p in 2, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13482\/35*1*-5. What are the prime factors of c\/(-30) + (-1)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 2*q**3\/3 + 956. Let n(l) = 4*l + 3. Calculate n(b(m)).\nAnswer: 8*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3240900 is divided by 1641?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/5)*d**(-6)*d**(3\/5)\/(d\/d**(2\/11)*d) assuming d is positive.\nAnswer: d**(-353\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.05. Let h = m - -0.1. Let y = 156.22 + -159.22. Is h at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 1. Let r(p) = -4*p**2 - 4*p - 2. Let l(h) = 3*a(h) - r(h). Let i be 2\/(1*(-3)\/6). What is the units digit of l(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 19*s + 12. What is the remainder when 34 is divided by m(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 11, d: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {p: 2, l: 5, m: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 9:40 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21763 is divided by 4349?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21359587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 47*z**2 - 3*z - 137. Determine u(-47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 11:49 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -23*i + 17. Suppose -y - 5*u + 1 = -25, 0 = -3*y - 4*u + 34. Let z(a) = 4*a - 3. Let v be 160\/225*48 - (-2)\/(-15). Calculate v*z(r) + y*m(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0*f**2 + 2*f**2 + 3)*(11*f**2 + 14 - 14) + 3 + 2*f**4 - 3 + (5 - 7 - 6)*(-f**4 + 2*f**4 - 3*f**4).\nAnswer: 40*f**4 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -122, -171, -212, -245, -270?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4*q + 4*q)*(39*q**3 + 725*q**2 - 725*q**2).\nAnswer: -39*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.809 minus -527?\nAnswer: 527.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*((0 + sqrt(252) - sqrt(252))*-1 - (-4 + sqrt(252)*2 + sqrt(252)))**2*1*2.\nAnswer: -91360 + 5760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 6:45 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.85, -14, -52?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/105020653 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(8 - ((-34)\/5 + 14)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 3*a - 3. Let y be i(-4). Let p = -15233 + 15210. Is p less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - 284142.471.\nAnswer: -284142.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.90911 less than -11?\nAnswer: -9.09089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2 - n - 5100000. Let g be l(0). Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 6:56 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 8, -5*n + 12 = -5*w + 2*w. Suppose n*b = b. Suppose -2\/7*u**3 + 2\/7*u**2 + 0 + b*u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073408.\nAnswer: 2, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 0*z**2 + 0*z**2 + z. Let q(o) = -6*o**2 + 5*o - 14750 + 29504 - 14746. Determine 5*c(b) - q(b).\nAnswer: b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -42. What is the remainder when 63 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(39\/(-5))*(-16)\/40.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 492987 smaller than 493073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + x)*(3*x**2 + 3*x**2 - 5*x**2) + 7*x**3 + 1 - 1 + 0 - x**3 + 0.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 13. Suppose -8*h - 3820 = -4100. What is the remainder when h is divided by d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 2, x: 1, e: 1}. Give prob of sequence kx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19258 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (936\/180)\/((-2)\/(-6)*((-102)\/(-30))\/(-17)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-2)*(-173 + 49). Calculate the greatest common factor of s and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*sqrt(832))**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 4*k**5\/25 - 3*k**4\/5 + 4*k**3\/5 - 2*k**2\/5 - 9178. What is a in t(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - z - 14 - 33, 4*z = -8. Let x = b + -7. Solve -2*o - 3*o - x*u = 21, 2 = -2*o - 4*u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 2, y: 1, m: 1}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from fffuffuffuuufuffff.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*z**2 - 68*z**2 - 33*z**2 - 28*z**2 + 190*z**2 - 32*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1674 and 864?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 12. Suppose 0 = -3*f - w + 4*w + 12, -5*f = 3*w - 20. Suppose f*n + 9 + 15 = 0. Determine o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/48983144 and -87\/122457860?\nAnswer: 244915720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 (base 5) in base 14?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38851 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g, -198*g = 5*o - 197*g - 67825. What are the prime factors of o?\nAnswer: 2, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -57, -104, -169, -258, -377?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -6, 1, 2290, -1, -2 in descending order.\nAnswer: 2290, 8, 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-3) + 0 + 1. Suppose 0 = -4*p - 3*t + m + 4, 0 = 3*p + 4*t - 19. What is the lowest common multiple of 7 and (-145)\/(-25) - (-1)\/p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/9)*(m**(-6)*m*m)\/m)\/(m**2*m\/(m\/((m*m**(-3\/7))\/m))) assuming m is positive.\nAnswer: m**(-365\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x + 11. Let p(j) = -73*j**2 - 5*j + 1131. Let h(b) = -2*p(b) - 10*v(b). Find the first derivative of h(k) wrt k.\nAnswer: 272*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -495*t - 247. List the prime factors of h(-5).\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3, 3*h + d - 15446 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6012*h + 1. Let j(g) = 18*g. Determine -j(c) + q(c).\nAnswer: -6030*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - -1 - (-6)\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67755 = -10*o + 28065. Differentiate 33 - 9582*c + o*c + 2*c**4 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -32. Suppose -41 = -t*c - 11. Suppose c*w = 19490535 - 47090535. What is w rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23000010 (base 5) to base 10\nAnswer: -203130","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 37*z**2 - 13*z + 893. Is s(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(1\/3)\/p)*p))**(1\/46)\/((p*(p*p**(-2\/5))\/p)\/(p\/(p**(-8)\/p)*p)) assuming p is positive.\nAnswer: p**(7151\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75138581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011805945166 rounded to four decimal places?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*p*u**2 - 11555*p - 10*u**2 + 24945*u + 56 wrt u?\nAnswer: -6*p*u - 20*u + 24945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7876 in -2\/7, -0.3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30030 divided by -330.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235030 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18520426?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 2*w - w + 0 + 0 - 2*w + (2*w + 0 + 0)*(0 - 1 + 3) + 2 - 2 + 2*w + (-4 + 4 - 2*w)*(4 + 1 - 4) - w - 2 + 2 in the form z*w + q and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 301*t - 23. List the prime factors of l(9).\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 8:08 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2228 + 2225. Sort -0.096, s, 1\/6.\nAnswer: s, -0.096, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l - 2. Let v(u) = -u**3 - 30*u**2 + 28*u - 86. Let i be v(-31). Suppose 3*w = 11*t - 13*t - i, -2*w - t - 6 = 0. Determine f(w).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3*t - 20465*b**3*x - 4*b**3 - 7*b**2*t*x - b*t - 2*b - t*x + 48806 wrt x.\nAnswer: -20465*b**3 - 7*b**2*t - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6 = -d + 11, -5*d - 4*c + 14 = 0. What is the nearest to -2\/9 in -8, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2669466, 2669452, 2669438, 2669424, 2669410?\nAnswer: 2669396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 2598?\nAnswer: -2590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 - 240. Let k be -3*(-68)\/g + 3. Which is the nearest to k? (a) 0.5 (b) -3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 572*n - 25895. Determine i(43).\nAnswer: 2399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -313*h**3 + 496*h**3 + 1024 + 444*h**3 wrt h.\nAnswer: 1881*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253 - -258. Sort -0.4, z, -1\/2, 3\/2 in decreasing order.\nAnswer: z, 3\/2, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -203905?\nAnswer: 203909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*o - o, n = -4*o - 3. Suppose -n*z + 10 = 0, 0*z = -4*p + 4*z. Suppose -x - 11 = -3*s, 0 = 2*x + s + 142 - 155. Solve 6 - p = x*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5740571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10233 - 13320042?\nAnswer: -13330330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 417*i - 2 - 210*i - 204*i. Calculate q(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -0.1, -0.06, -2\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 7*j - 6. Let u be r(4). What is the remainder when u\/(-24) + (-250)\/(-8) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 9915510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 190430.\nAnswer: 1333010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -631 + 1010. Is (u - -7)\/(6\/21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1924630 - 641549 - 641542 - 367*d**2 - 641539.\nAnswer: -367*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.023788 - -0.02615. Let t = p + -0.0491. What is t rounded to 5 decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*f - 3*o, 2*f - 1870*o = -1874*o + 10 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898410*m - 898410*m + 14*m**2.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 4*o**2 - 5*o - 528. Let n(m) = -9*m**3 + 19*m**2 + 24*m + 2641. Determine 4*n(d) + 19*x(d).\nAnswer: 2*d**3 + d + 532","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -15358\nAnswer: -1535.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 500?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48\/95 + -21\/19. Let d = -0.8 - 2.2. Let n = -1 + 0. Put d, o, n in decreasing order.\nAnswer: o, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 22*d**7\/21 + 14*d**5\/15 - d**4\/8 - 120*d**2 + 2*d. Find the third derivative of k(s) wrt s.\nAnswer: 5280*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7))**22)**(-1\/34) assuming x is positive.\nAnswer: x**(-22\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnrsu. Give prob of sequence urs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/546 and 83\/37884.\nAnswer: 492492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 361 + -182. Let g = s + -71. Let b = g + 5. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 2050794?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -494 and 2.328?\nAnswer: -1150.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 266*k - 6567. Give g(-22).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, k: 3, w: 2}. What is prob of picking 4 t?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210380 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18070?\nAnswer: 2, 5, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10100111110111 (base 2) to base 4\nAnswer: -2213313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5541 - 5528. Find the common denominator of (-2 - -3)\/((-92)\/72) and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 divided by 3?\nAnswer: 265\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**6\/810 + r**5\/216 - r**4\/216 + r**3 - 4. Let v(w) be the third derivative of y(w). Factor v(p).\nAnswer: -(p - 1)*(4*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6117436 <= 6117439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 3*n. Let m(x) = 732*x - 1. Determine -j(w) + m(w).\nAnswer: w**2 + 729*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (134\/(3 - 5))\/(-1). Let c = x - 271\/4. Find the common denominator of c and 28\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29474?\nAnswer: 2, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -5042?\nAnswer: -5046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 309?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 914, 916, 918?\n\"Answer: 2*s + 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16488 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10818, 21628, 32438, 43248?\n\"Answer: 10810*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 3, r: 5, x: 3, s: 6, c: 2}. Give prob of picking 1 w, 2 x, and 1 s.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 894.975 weeks?\nAnswer: 541280880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j + 13. Let q(w) = -w - 3. Suppose 4*a - 24 = -l - 3*l, 5*l = a + 48. Determine l*q(d) + 2*p(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -22 - (3 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -21*x**3 + 7*x**2 - 7*x - 7. Let o(d) = -10*d**3 + 3*d**2 - 3*d - 3. Give 3*g(h) - 7*o(h).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 3 + 2\/9*k**2 + 1\/18*k**4 + 0*k - 2\/9*k**3. Solve h(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**5 - 3*g**5 - 3*g**5 - 212*g**5 + 41*g**5 + 9*g**5 - g**5 + g**5 - 2*g**5 + (-5*g**4 - 6*g**4 + 4*g**4)*(3*g + 0*g - 4*g).\nAnswer: -158*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 318769311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 53*p - 30. Let q be w(-23). Suppose 12*t - 6760 = -q. What is the remainder when t is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 4:52 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2052, -4069, -6096, -8139, -10204, -12297, -14424?\n\"Answer: -g**3 + g**2 - 2013*g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10, z - n + 0*n = 9. Let u be ((-3)\/(-2))\/((-3)\/z). Let q be u\/5 + 51\/15. Let a(j) = j**2 - 4*j + 2. What is a(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 615, 1202, 1767, 2310, 2831?\n\"Answer: -11*f**2 + 620*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 135 = 7*w. Let l = w - 24. Solve -t + 5*h = t - 17, -t + 10 = -l*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 120. Calculate the lowest common multiple of 55 and u.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffxffxxf. What is prob of sequence fx?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 x when four letters picked without replacement from xtxxxtxtxttxt?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 73?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-24) - 30609\/(-2052).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.57063 to 1 decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 + -63. Let i be b\/(-10) - (-6)\/(-15). Sort -1, i, -4 in descending order.\nAnswer: -1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**2 - 32 + 0*r**2 - 5*r + 31 - 144*r**5 - 2*r**2 wrt r.\nAnswer: -2880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87826042 to the power of 1\/2, to the nearest integer?\nAnswer: 9372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5333510.\nAnswer: 2, 5, 7, 13, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4873.0964 + 0.1?\nAnswer: 4873.1964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -148 + (65 - 31) + 60.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123\/503 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 14*w**2 - 13*w - 7. Let j be d(13). Let m = -19 - j. Calculate the remainder when 2\/m - (-3550)\/60 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*i = 306*i - 19740. Let k(o) be the third derivative of 1\/42*o**4 + 0 - i*o**2 + 0*o + 1\/420*o**6 + 1\/70*o**5 + 0*o**3. Let k(h) = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2\/4 + 461*f\/2 + 923\/4 = 0.\nAnswer: -1, 923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.2 + -34.4. Let g = -78.9 + 79. What is the closest to g in -9\/5, 2\/13, m?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(1377)*-4 + 0)*-6)**2.\nAnswer: 12690432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 - 3 = 0. Let l be 2 - (3 - (1 + i)). Let u be (1 + -2)\/(l\/(-26)). What is the greatest common divisor of u and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*c - 319*c = -150. Let r = -48 + c. Factor 5\/3*t + 4\/3 + 1\/3*t**r.\nAnswer: (t + 1)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 21*p. Let r(k) = 5*k**3 - 3*k**2 - 81*k + 17. What is 4*b(o) + r(o)?\nAnswer: o**3 - 3*o**2 + 3*o + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118 + 524 = 131*o + 1371 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 11 + (-9 - -11) + -6 - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 19*m + 39 = 0. Suppose 0 = -g + m - 4. Suppose -2*w + g = -c, 0*w - c + 3 = w. Sort w, 2, 0 in descending order.\nAnswer: w, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6220*x**3 - x**2 - 770*x + 2?\nAnswer: 37320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-22490)\/(-15015) - (-4 - (-150)\/35) and 14\/40*2\/(-24).\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {p: 6, a: 1, z: 8, h: 1, n: 2}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3892881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**44)**48\/((a*(a*(a**(-3\/8)*a)\/a)\/a)\/(a*a**0)*(a**(1\/3))**8) assuming a is positive.\nAnswer: a**(101321\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3*i**2 - 27*f**3*i*t - 2*f**3*i + 458*f**2*i**2 - 88*f*i**2 - 1916*i**2*t**2 + i - t**2 wrt t?\nAnswer: -27*f**3*i - 3832*i**2*t - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w. Let h(c) = 2*c**2 + 473*c. What is i(h(v))?\nAnswer: 34*v**2 + 8041*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246942 divided by 102.\nAnswer: -2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**4 - d**2. Let h(y) = 79*y**5 - 6*y**4 - 113*y**2. Let c(a) = -h(a) + 3*l(a). What is the third derivative of c(q) wrt q?\nAnswer: -4740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -240 and -25024 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306864 and 24?\nAnswer: 306864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23, -71, -153, -269, -419?\n\"Answer: -17*n**2 + 3*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*48\/(-15))\/(2\/(-15)). Let g be ((-18)\/(-10))\/(l\/160). What is the greatest common divisor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17571 - 17566. Solve -3*q - 4 = -b - 0, c*b - 3*q = 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/(14\/63). Suppose 4*o - c*o - 33 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2029, -2027, -2025?\nAnswer: -2023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/8)\/y)\/y)\/(y\/y**(3\/13))*y**(8\/3)\/(((((y**(-1\/5)\/y)\/y)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(8537\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 9*o**2 - o + 14. Let p be d(9). Suppose -1068 = -h - p*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*a = -a + 21, -4*a + 20 = 0. Suppose -97 = -q*g + 2*g. What are the prime factors of g?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**5 - 30*i**4 + 15*i**3 + 440*i**2 + 1020*i + 720 = 0. Calculate i.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1578614503?\nAnswer: -2\/1578614503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*s = 14, 4*s = -3*y - s + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, -1, 3 in increasing order.\nAnswer: -1, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-37)*x*x**3 assuming x is positive.\nAnswer: x**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320\/3*d - 44*d**2 - 256\/3 + 20\/3*d**3 - 1\/3*d**4 = 0. Calculate d.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 161, 0.5, 4 in increasing order.\nAnswer: -3\/2, 0.5, 4, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 400, 602, 818, 1054, 1316, 1610?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 327, 334, 345, 360, 379?\n\"Answer: 2*s**2 + s + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.783483 + -0.7812. What is n rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 505589369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/11)\/((-12005)\/3773))\/1.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 - 116*u + 38*u - 58 + 60 + 51*u. Determine a(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b - 1. Let p(l) = -10*l**3 - 2*l + 2 + 6*l**2 - 8*l**2 - 12*l**3. Let h(t) = -2*m(t) - p(t). Find the third derivative of h(w) wrt w.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(100)*3 - sqrt(100)) + sqrt(100) + sqrt(100))*-5 - sqrt(100))\/sqrt(5))\/(-5*((sqrt(160) - 1*sqrt(160)) + sqrt(160))).\nAnswer: 21*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + k**2 - 49*k**3 + 71*k**3.\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 73939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/15 of a hour in minutes?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*u = -17, 4*k = -11*u + 14*u + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*o**2 - 4\/3*o + 14\/9.\nAnswer: -2*(o - 1)*(o + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 + 229 + 185 = 14*n. What is the greatest common factor of 7605 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -515*w**4 + 1015*w**4 - 509*w**4 + (w**4 + 1 - 1)*(-4 + 3 + 2).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5420.909t?\nAnswer: 5420909000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19272331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + -13)\/(0 - -1 - 0). Put 3, -2, z, 2 in increasing order.\nAnswer: z, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -864, -1728, -2592, -3456?\n\"Answer: -864*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 31*s**2 - 60*s - 9. Determine i(4).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*w - w - 12, 3*x + 2*w = 16. Let q = 77 - 65. Solve x*f - q = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 a, and 1 r when three letters picked without replacement from rwwrnaacaawranwnara.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14640\/(-3)*10*125. What is s rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1588 divided by -794.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -14. Let t be 20000002\/8 - b\/28. What is t rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44.0674 greater than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 199 + -209 + (20 - -8)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-1\/9))\/u)\/u**9)\/((u\/u**8)\/((u*u**(-4))\/u)) assuming u is positive.\nAnswer: u**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274 - -601. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1636\/18*(-9 + 1 + 1). Let b = -637 - m. Suppose 4*p + 18 - 10 = 0. Is b >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 751, -2.4, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000136328013 rounded to 7 decimal places?\nAnswer: 0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:34 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 + 4812\/(-1232). Let y be 3 + (23075\/1540)\/(-5). Let l = a - y. Find the common denominator of l and -3\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202.58153 + 0.03847. Let x = z - 201. Round x to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)**(-2\/15)*r**(3\/7)*r**6)**(-4\/3) assuming r is positive.\nAnswer: r**(-2644\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 3179*h - 4745*h + 4483*h + 1 + (-3 - 2 + 3)*(h**3 + 2*h**3 - 4*h**3).\nAnswer: -h**3 + 2917*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 10120*o - 5120720.\nAnswer: -5*(o + 1012)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 23*i**2 + 2*i + 7. Let l be j(-1). Let w be (3\/l)\/((-2)\/(-7)). Solve -3\/8*b + 0 - w*b**3 + 3\/4*b**2 = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.004 and 60.9.\nAnswer: 60.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**3*w**3 - 295*c**3*w**2 - c*w**2 + 336*w**4 - w**3 wrt w.\nAnswer: 18*c**3 + 8064*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -47. Suppose -16*m + 10*m = d. Let u be (-8)\/(-3) - m\/(-12). Solve -3 = u*z + b, z = 5*z - 2*b + 26 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 36 = -2*t + 2*v, 2*v = -8. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 49, 5, 4 in decreasing order.\nAnswer: 49, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.43416 times -0.62?\nAnswer: 0.8891792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*t + 296, 0 = -0*h + 4*h + 4*t - 244. What is the smallest common multiple of h and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 - 152 = 43*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2029332 to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.61 + 0.03.\nAnswer: -7.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 14 = 2*u, -2*u + 4*x - 18 = -2. Let h(c) = 3 - c + c + 2*c. Calculate h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25489 - -79546. Suppose 27*u - n = -2811. List the prime factors of u.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 511*w**3 + 252*w**3 + 261*w**3)*(-6 + 0 + 3).\nAnswer: -6*w**3 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3293553 * -4\nAnswer: -13174212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544008 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -442 + 442.000088. What is p rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 + 8*p - 1. Let a(c) be the second derivative of c**4\/2 - 3*c**3\/2 + c**2\/2 - 2*c. Let t be (9\/(-4))\/(30\/80). What is t*a(r) - 7*k(r)?\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*w + 12, 2268*z + 4 = 2264*z + w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18137 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -155*b - 32. What is the hundreds digit of g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o + 100. Let p be w(24). What is the second derivative of -31*c**5 - p*c**4 - 3*c + 4 + 4*c**4 - 6*c**5 wrt c?\nAnswer: -740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 678 + -354. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 + 1 = 0. Let t = 4986 + -4994. What is the closest to 2\/3 in f, -5, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a**2 + a - 12. Let d be x(6). Let j(r) = 2*r. Let q be j(1). Suppose -q*y - y = -d. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*4*(-3)\/(-12). What is the biggest value in z, 0.36, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -81, -123, -165?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 615057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*q - 66193 - 2597805. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 1, y: 1}. What is prob of picking 1 y, 1 i, and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*p - 76 - 405 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**7\/21 + 16*z**6\/15 - 10*z**5 + 152*z**4\/3 - 448*z**3\/3 + 256*z**2 + 25*z. Factor c(f).\nAnswer: -2*(f - 4)**3*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 724318.802 from -0.745.\nAnswer: -724319.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 262 - 48. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmtkmpmvvkwkwpttvt. Give prob of picking 1 k, 1 p, and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*3\/1. Let i(g) = -g**2 - 5*g. Let r be i(-5). Let c = r + x. Solve -c*t = -t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 30302522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -18*s**2 + 20*s - 4. Let w(o) = -17*o**2 + 19*o - 3. Let d(k) = 3*g(k) - 4*w(k). What is the second derivative of d(l) wrt l?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 4fd?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 4 - 57*h + 61*h)*(2 + 0 + 1)*((3*h + 3*h - 4*h)*(0*h - 4*h + h) - 3*h**2 + 3*h**2 - h**2).\nAnswer: -84*h**3 + 210*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 9. Let v be y(4). What is the units digit of (v - 5)\/(4\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*r = -8, 4*x + 2*r - 14 = -r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 - 86184710\nAnswer: -86184711.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 98, 4, 0.04, 45, 2, -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 - 10) + 0)*-1. Let z be (-14)\/(-5) + h\/35. Suppose z*a + 7 = -3*s - 2*s, 4*s = a - 26. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1176086063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -34. Suppose 2*s - v = 3, -2*v - 6 = -q*s + 2*s. Is 6\/5 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -383*i**6*o + 2*i**3*o + 298*i**2*o + 2*i*o wrt i?\nAnswer: -45960*i**3*o + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.07029\nAnswer: 0.028116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292380?\nAnswer: 2, 3, 5, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)*r\/(r**(2\/11)\/r)*(r*r**1*r)**33*((r*r\/((r**(4\/7)*r)\/r))\/(r\/r**1))\/(r**(2\/3)*r)**(-4\/11) assuming r is positive.\nAnswer: r**(22835\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 5, 0, 52, -4 in decreasing order.\nAnswer: 52, 5, 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*c + 2*c = 3, 0 = -4*k - c - 2. Let i be 4*k*(-2)\/2. Suppose -i = -d - 3*u, 1 = -u - 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2346 (b) 3 (c) 8\/3 (d) 196\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g + 3*g. Suppose 3*x - 4 = 4*x. Let c be x\/14 - 30\/(-7). Solve 5*b = g*v + 8, c*b + 0 - 4 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*j = -2*j + 2, 2*j + 14 = 4*l. What is the least common multiple of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 3\/10*f**4 + 0*f**2 - 2\/15*f**3 + 0*f + 1\/15*f**6 - 6\/25*f**5 + 2. Solve a(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028106839?\nAnswer: 3, 11, 3019, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -668 + 1951. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - p + 1. Let x(d) = -1148*d**3 - 1266*d**2 + 12*d - 12. Let y(w) = 12*n(w) + x(w). What is the third derivative of y(h) wrt h?\nAnswer: -6888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159120 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 + -7)*-17 + 2*1. Let u = s - -164. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1030*n**3 - 21012*n**2 - 5*n + 41408722 with respect to n.\nAnswer: 3090*n**2 - 42024*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -246, -248, -250, -252, -254?\n\"Answer: -2*c - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6067562, 6067507, 6067452, 6067397, 6067342, 6067287?\n\"Answer: -55*f + 6067617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*s**2 + 5*s**6 - s**4 + 3 + 22*s - 4 + 1 - 28*s**2 wrt s?\nAnswer: 600*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1525131 (base 7) to base 16\nAnswer: 32d90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -0.083 (c) 3\/4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.488 - 0.188. Which is greater: -71 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let g(s) = s**3 - 2*s. Let k be g(n). Let f be k*((-6)\/4 + 1). Solve 2*y = -2 - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.6 + -13.2775. Let c = 0.32 - p. Round c to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 0 + (6 - 13) + 3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 10*l**2 + l**2 + 0*l**2 in the form a*l + j*l**2 + r and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/80 - (-21)\/5. Let v be 276\/x + -4 + 3 + 0. What is the greatest common divisor of 153 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-17))\/(-1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41420211 (base 7) in base 13?\nAnswer: 94ca19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62820 divided by 5?\nAnswer: 12564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 3*j - 3*j + (2*j + j - 4*j)*(2 + 2 - 6))*(1 - 1 + j**2 + (j - 2*j + 0*j)*(-2*j + 4 - 4)) in the form w*j**2 + u*j + b + x*j**3 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 3*g**2 - g + 2. Let u = -13 - -11. Determine l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 3*c - 3*a + 7 = 0, -121*a - 3 = -5*c - 123*a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-25) - 520\/(-25). Suppose 21*a = t*a + 59. Let o = -45 + a. Calculate the highest common divisor of 56 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -59*q - 62 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, z: 4, t: 1}. What is prob of sequence gt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.4, -2\/13, -5 in descending order.\nAnswer: 0.4, -2\/13, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -305.4\nAnswer: 12521.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 3662*x - 766941. Give w(223).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 471000 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 273530 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2625779 divided by 37?\nAnswer: -70967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s + 8 + s**3 - 2*s + s - 3*s**2. Let o(p) = p**2 + 25*p + 71. Let k be o(-22). Let u be m(k). What is the highest common divisor of 45 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -315694*p**2\/9 - 631400*p\/9 - 8\/3 = 0.\nAnswer: -2, -6\/157847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(4\/15))**20 assuming f is positive.\nAnswer: f**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 2*r**2 - 6*r**2)*(2*r**3 + 4*r**3 - 5*r**3) - 8*r + 11*r - 8*r**5 - 4*r.\nAnswer: -9*r**5 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-112)\/(-20))\/(4\/10*1). What is the highest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -27, -1, 1114, -3 in increasing order.\nAnswer: -27, -3, -1, 2, 1114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22151, 42418, 62685, 82952, 103219, 123486?\n\"Answer: 20267*q + 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 201563, 402305, 603047, 803789, 1004531?\n\"Answer: 200742*z + 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = -2*w - 0*w, -17 = -w + 5*m. What is the highest common factor of w and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 - -110. Let a be 4\/(-2)*(o + 12). Suppose -5*d + 14 - 4 = -2*f, 2*d = -f + 4. Solve 4*y - 2*h + f + a = 0, -4 = 4*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(((-112)\/(-21))\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 319 (base 14) to base 3\nAnswer: 211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 455, 689, 927?\nAnswer: 1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6 and -83\/861.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*c = -82*c + 60. Calculate the smallest common multiple of c and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/123 - -43\/246. Let r(g) be the third derivative of 0 + 0*g - 1\/60*g**5 + 1\/120*g**6 + 1\/12*g**4 + g**2 - o*g**3. Give r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 101*z - 2502. Calculate l(-48).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/11 + 768*p\/11 + 1448 = 0.\nAnswer: -362, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 2*w + 2. Let v be s(-2). What is the first derivative of 31 - 25*y**2 + 9 + 25*y**2 - 42*y**v wrt y?\nAnswer: -84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4, -2\/3, 4, 1219, 5 in ascending order.\nAnswer: -4, -2\/3, 0.4, 4, 5, 1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 21720*y**3 + 21740*y**2 + 195480*y - 195498 = 0.\nAnswer: -10861, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64354.3l?\nAnswer: 64354300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.5, 4, -3978?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**(1\/2))\/g))**(-3\/17)*g**(-3)*g**(-2))\/(g*g**(-6)\/g*g*g**(-1))**(4\/25) assuming g is positive.\nAnswer: g**(-3659\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946*b = -937*b + 1358*b + 1575. Determine f so that 22\/5*f**b + 0 + 14\/5*f**4 + 0*f + 8\/5*f**2 = 0.\nAnswer: -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*v - 16, 11 = -3*a + a - v. Calculate the common denominator of (0 - a\/(-28))*24 and 54\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 1261 = -3*b - 1320, -q + 1 - 7 = 5*b + 13 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -73\nAnswer: 11\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + s + s - 3*s - 61 + 2*s + 61 + (0*s + s + 0*s)*(-2 - 1 + 5) - 14 + 14 + 11*s to a*s + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*m**5 - 32509*m**4 - 48876059*m**2?\nAnswer: -3660*m**2 - 780216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 296 - 96. Calculate the highest common divisor of d and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 divided by 150461?\nAnswer: -391\/150461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(49\/504))\/((-4)\/(-24986906)). Let h be 0 + -2 + -347*262686. Let g = h + q. Round g to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 8. Solve w = a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 408\/(-54) - (-11 + 3). What is the third smallest value in 4, -1.6, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c574 - 0?\nAnswer: 9c574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 4 + 104*f - 102*f - 6.\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(-4\/5)*h)*h\/h**12 assuming h is positive.\nAnswer: h**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220013 - -12103?\nAnswer: 232122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*w + 8 = 0, -9*j + 6*j = -3*w + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -2, -1, 254, -138 in increasing order.\nAnswer: -138, -9, -2, -1, 2, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 99 = -30*i + 81 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4671*v + 101 + 41 - 142 + (2 + 1 - 4)*(-4*v + 2*v + 4*v))*(-3 + 2 + 0) in the form x*v + j and give x.\nAnswer: -4669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -3\/40*s**6 + 0*s - 1\/24*s**4 + 1\/60*s**5 + s**2 + 35 - 19\/3*s**3. What is the second derivative of k(o) wrt o?\nAnswer: -54*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44, -78, -146, -266, -456?\n\"Answer: -3*z**3 + z**2 - 16*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + p - 1 = o, 4*p = 5*o - 3. Let k = -136105\/44693 - 1\/8126. Calculate the common denominator of k and o*(-9)\/12*-1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90352613 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107755 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 4)*(5*j - 3*j + 6*j)*(-9 + 217 - 77) to h*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 186732*u**3 - 18104*u**2 + 220*u.\nAnswer: 4*u*(133*u - 11)*(351*u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5487018 to the nearest integer?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53019\/(-5031) - (-33)\/3?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, m: 3}. What is prob of sequence umuu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31269517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -156\/5. Let h = 236800\/7 - 33829. Which is the fourth smallest value? (a) 5 (b) i (c) 0.5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoazwrss. Give prob of sequence or.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 24. Let n(z) = -z**3 - z**2 - 2*z - 3. Let k be n(-2). Calculate the highest common factor of w and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**3 - 13460*w**2 + 5713052*w - 5699596 = 0. Calculate w.\nAnswer: 1, 497, 2867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -70 (c) 6 (d) -3 (e) -1\/4 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 47*x**2 - 172*x + 61. Suppose -4*a + 2184 = -0*t + 4*t, t = -2*a + 547. What is the remainder when t is divided by h(-43)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 1758, 5817, 13690, 26649, 45966, 72913?\nAnswer: 108762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4084, 18 in decreasing order.\nAnswer: 18, -5, -4084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*z**3 + 2*z**2 - 1176*z - 186 wrt z?\nAnswer: -9*z**2 + 4*z - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 6*o + 2*o**2 - 3*o**2 + 14*o.\nAnswer: 2*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*p - 305*p + 77*p + 81*p + 73*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 3, r: 12}. Give prob of sequence zrrr.\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 2. Find the second derivative of -12*q + 3*q**2 + q**2 + w*q wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {m: 4, f: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.05 and -0.4.\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**3 + 512*v. Let u(p) = -28*p**3 - 1025*p. Calculate -5*n(h) - 3*u(h).\nAnswer: -h**3 + 515*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((3 + -3)\/(-2))\/(-17 - -23). Let b(j) be the second derivative of -26*j - 11\/4*j**4 - 3\/10*j**5 - 6*j**3 + 27\/2*j**2 + c. Factor b(n).\nAnswer: -3*(n + 3)**2*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30433063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.5 or 76?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 7:15 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**4 - 1827125*c**3 - 2*c**2 - 363332*c - 5 wrt c.\nAnswer: -36*c**2 - 10962750*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42\/47 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 27 = -3*v, y + 2*v - 12 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 40, -17, 25604 in decreasing order.\nAnswer: 25604, 40, 4, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 6*l - 60. Let s(i) = -i - 1. Let z(k) = 6*s(k) + w(k). Differentiate z(a) with respect to a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1721886180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27056 + 27056 - 19421*l to p*l + v and give p.\nAnswer: -19421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((8 + -1)*-22)\/((-53)\/424). What is the greatest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 4, y: 15}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -23*n**2. Let l(g) = -142894*g**2 - 2. Calculate l(p(q)).\nAnswer: -75590926*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4421185607 - -2?\nAnswer: 4421185609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-6) + 3)*-3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 5*b**2 - 5*b - 20. Let a be u(6). Let q be (-9)\/12*a\/42. Find r such that q*r**2 - 1\/4*r**4 + 0 - 1\/4*r**3 + 0*r + 1\/4*r**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 3*sqrt(539) - (sqrt(891) + -1)) + ((sqrt(132)\/(sqrt(48)\/sqrt(4)))**2 - (3 + (sqrt(11) + -1)**2)).\nAnswer: -3 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*(q\/(q**0\/q*q))\/q)*q*q)\/q*q*q)**(-9)\/(q**1*q)**(-42)*(q**(-1\/7)*q*q*q\/q**(2\/15)*q)**32 assuming q is positive.\nAnswer: q**(17552\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - 7*f - 2 - 1 - 2*f**2. Let s = 29 + -21. Let y be n(s). Solve -2*k + k + y*q = -9, -2*k = q - 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*h + 32. Suppose 10 = 2*w, -3*w = 4*b + 20 - 123. Calculate the highest common factor of h and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 6 - 22 + 6 + 10.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 127. What is the units digit of k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16463590469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(2\/19)\/c)\/c*c)**(-2\/9)*c**(6\/5)\/(c**(-15)\/c) assuming c is positive.\nAnswer: c**(14686\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = z, -2*r - 80 = 2*z + 50. Suppose -6*x = 9 + 15. Let g be x\/(-6) - r\/(-63). Which is the nearest to -0.1? (a) g (b) -0.7 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -117, -273, -491, -771, -1113, -1517?\nAnswer: -1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 329*z**2 - 39*z - 2. Let y be s(4). Suppose y = 7*x - 5240. List the prime factors of x.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-70))\/(30\/(-210)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4862803*o**2 + 5*o - 1273308.\nAnswer: 9725606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -12780473\nAnswer: 2\/12780473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 7*b**2 - 12*b. What is the remainder when k(-6) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000042175429 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3178455 divided by 5?\nAnswer: -635691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.0182, -0.1, -1?\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 12, h: 4, v: 3}. What is prob of picking 3 h?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3959250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-35)\/(-15))\/(-1) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*x = 23, 9*v - 3*x = 4*v - 22. Let s = 0.04 - -4.96. Let q = -1 - -5. Which is the closest to 0.1? (a) v (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3487896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*w - 3995 + 1650 = 2519 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0 - -2) - 2. Let z be 972\/(-45) - k\/(-10). Let a = z - -23. Solve n - 2 = -a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, 49, -6, 326 in ascending order.\nAnswer: -6, 1, 11, 49, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -10*v - 300. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 2949?\nAnswer: 2949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102563, -102561, -102559?\nAnswer: -102557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - -2. Let j be (24\/(-9))\/((-2)\/i). What is the tens digit of (-1)\/2 + 1482\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 612.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11780*d + 141455. Calculate j(12).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 302\/435 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/800 and 1\/1511680.\nAnswer: 7558400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1883 + -1877. Do -18\/11 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -412, -804, -1186, -1552, -1896, -2212, -2494, -2736?\n\"Answer: p**3 - p**2 - 396*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6681 + 4342 + 771 + 1588)*(-z + z + 2*z) as a + l*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/7 + (-8)\/140. Which is the nearest to 2? (a) 0.3 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 66519838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096\/(-6)*10*6\/(-5)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -12, 1, 0, -4 in ascending order.\nAnswer: -12, -4, 0, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -108) + -55 - (4 - (24 + 2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 211414.8km?\nAnswer: 21141480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 4*i**2 + 4*i + 2. Let f be h(5). Let m be 0\/f - (-2 - -4). Let d = 1 - m. Solve -d*t + 5*t = 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m + 174*m = -48*m - 3489 - 3711 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0.7873893.\nAnswer: -3.7873893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -29. List the prime factors of (-4)\/((-24)\/118) + c\/(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 5*v + 3\/2*v**3 + 0 + 1\/4*v**4 + 3*v**2. Solve h(b) = 0 for b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 13, 10964 in decreasing order.\nAnswer: 10964, 13, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -298.2 - -1615.2. Let f = -1317.00000581 + j. Round f to seven dps.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.842356 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -8837\nAnswer: -90\/8837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-y - 5*y + y)*(-2 - 3 - 6) to o + c*y and give c.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/40)\/(3 - (-1860)\/(-632)) and -103\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u. Solve -12 + 37 = 5*w, 4*c + 2*w - 14 = u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 8. Suppose 0 = z - 7 + 9. Is l at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29737 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 + 41 - 202)*(-3*j**2 + 5*j**2 - 4*j**2) - 2*j**2 + j**2 + 3*j**2.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0312 times -57.1\nAnswer: 1.78152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - a5721?\nAnswer: -a5733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 + 7*s + 14. Let y(w) = 3*w**2 + 4*w + 7. Give 4*m(b) - 7*y(b).\nAnswer: -b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -5 + 0 + 10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 16*x**3\/3 + 20036*x**2\/3 + 25024*x\/3 + 1668 = 0?\nAnswer: -1251, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 + 3.33. Let l = -0.08 - -5.08. Let d = l + k. What is d rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 3*g - 33. Let j be n(-6). Suppose 556 - 178 = j*a. Solve z = 10*z + a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 + 170.5. Let z = -132 + 141. Sort i, z, -2\/11 in ascending order.\nAnswer: -2\/11, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 696474*h**2 + 2785920*h + 2785928.\nAnswer: -2*(h - 348241)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -112*j + 337. Let r(k) = -36*k**3 + 900*k**2 + 3*k - 72. Let x be r(25). Give t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -4*s - 4*p, -5*s = -10*s - 3*p + 270. Suppose 14*o - 20*o + s = 0. Solve -5*i = q + 13, 5*q - o*q + 5*i = 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -9\/5?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1\/1203060749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4, 2705\/121?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 + -22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*i = -170*i + 10668. Calculate the remainder when i is divided by 334.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.062 - 172751718.\nAnswer: -172751717.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201596256 divided by 54.\nAnswer: -3733264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 2, f: 6, d: 2, v: 7}. Give prob of picking 2 d.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2763634909?\nAnswer: 7, 397, 994471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 93795934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40.524972843 and 10.42?\nAnswer: 50.944972843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/7 - 290*x**4\/7 + 62344*x**3\/7 - 376224*x**2 + 4636800*x = 0?\nAnswer: -276, 0, 28, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190572.\nAnswer: 2, 3, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1448*k - 1975*k**3 + 1875*k**3 + 1296 + 8180*k**2 - 5048*k.\nAnswer: -4*(k - 81)*(5*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 93, 209, 325?\n\"Answer: 116*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-47)\/39762*6\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-256)\/(-3))\/((-4)\/12)*(-9)\/4. Calculate the greatest common factor of g and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337\/(-1011) + (35\/6 + 42\/126)*20?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.0841 - -0.0159. Which is the fourth biggest value? (a) -3 (b) k (c) 0.5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5066815 to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12225 (base 6) to base 14\nAnswer: 93b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -30*b - 36*b + 240. Factor 11\/2*t - 1\/2*t**b + 3 - 3\/2*t**3 + 3\/2*t**2.\nAnswer: -(t - 2)*(t + 1)**2*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 11. Let b be (-3 - 0)\/(-15)*a. What is the second smallest value in 3\/8, 2\/9, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*280\/(-2205))\/((-4)\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6*(1 - -1). Let b be 0 + 2 - (-1 - 0). Suppose 4*p = -v + 2*v + 15, -10 = -b*p + 2*v. Put p, y, -5 in decreasing order.\nAnswer: p, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 163 = 12*z. Suppose -4*u + 9*u = -z. Let q = 1 + -5. Sort -1, q, u in descending order.\nAnswer: -1, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-44)*((y**(2\/5)*y)\/y)**(-1))\/((((y*y*(y*y**(-2\/3)*y)\/y*y)\/y)\/y)\/y**(-6))**(1\/30) assuming y is positive.\nAnswer: y**(-29\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 966*p**3 - 977*p**3 - p**2 + 1957*p**3 + 31 to n*p + x*p**3 + d*p**2 + h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09023 - -247.52977. Round q to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18376 is divided by 2623?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*f = -5, -5*w + 25 + 20 = -4*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Suppose 3*f = -f + 32. Calculate the least common multiple of f and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 2:49 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*v + 3*v + 5, 4*v + 2*a - 10 = 0. Let d(m) = 3 - 5*m + v - 4. List the prime factors of d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135670841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/296 and 47\/1110.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-261))\/(1\/2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 33 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -38*c**2 + 4650*c - 72583. Determine t(104).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2\/5 + 122828*y\/5 - 368664 = 0.\nAnswer: -30722, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -2*t**3\/15 - 123*t**2\/5 - 952*t\/5 + 5922. Find n such that s(n) = 0.\nAnswer: -119, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**4\/6 + 3317*w**2. Let b(c) = 3*c - 8. Determine b(h(y)).\nAnswer: 12*y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/3*-1*-6. Suppose 636 = 9*m - 426. Suppose m = 7*r - 1. Let n(f) = 20*f + 17. Let u(y) = -7*y - 6. Determine l*n(g) + r*u(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19845 and 7455.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6 + 7 - 7 + i. Let r be g(6). Suppose 2*q + 2 = f - 36, 5*q - 25 = r. Calculate the greatest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 8190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 62*t**2. Let k be 6\/(-1) + -24 + 39. Let z(u) = -k*u - 3*u + 2*u + 6*u + 0*u. What is z(r(y))?\nAnswer: -248*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 - -0.74221\nAnswer: 5.64221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753967057.\nAnswer: 1753967057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403 (base 8) to base 15.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a + d - 9, 4*a - 3*d = -1. Suppose 5*g - a - 8 = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000210002021 (base 3) in base 8?\nAnswer: -6107735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-3))\/(-5)*-3. List the prime factors of 2 - ((p - 3) + -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 - -134?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -153933*p**3 - 2*p**2 + 180545?\nAnswer: -461799*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -180811230 divided by 10730?\nAnswer: -16851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 60*c**2 - 237*c - 180.\nAnswer: -3*(c + 1)*(c + 4)*(c + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07 and 7.5772697.\nAnswer: 7.6472697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -31*t + 29*t + 15, -2*t - 2*x - 20 = 0. Let s(m) be the first derivative of m**3 - m**2\/2 - 3. Let z be s(1). Sort z, 6, t in decreasing order.\nAnswer: 6, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose -k*x + 862 = -2*h, 2*h = h + 3. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113385*(-10)\/(-50) + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -l + 3*k - 12, 8 = 2*l - 2*k. Let r(b) be the second derivative of -1\/6*b**3 + l + 1\/36*b**4 + 1\/3*b**2 + b. What is p in r(p) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022211102 - -2000022?\nAnswer: -1020211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/7 - 4\/21. What is the biggest value in z, -2, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-18))**(1\/35) assuming g is positive.\nAnswer: g**(-18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*k - 34223 = -64409 for k.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 - (7 + -5 - -34 - -27).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + -48 + 4 - 13?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/144 and -67\/768.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228973246?\nAnswer: 2, 1889, 60607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109341314.\nAnswer: 2, 17, 19, 169259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 659047965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-28628))\/((-9)\/24). Let w = -866105\/128826 + n. Calculate the common denominator of w and 27\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1185 - 2373 + 308553*y + 1188.\nAnswer: 308553*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829*m**2 + 0*m**3 - 832*m**2 - 36*m**3 + 1661*m**2.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 12:54 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/((441084\/(-224))\/59).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yddddddydddy. What is prob of sequence ydyy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/((-45)\/(4 + 1)). Let k(m) be the first derivative of 0*m**2 - 4 + y*m**4 + 1\/9*m**3 + 0*m + 1\/15*m**5. Solve k(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 5*x**2 + 3*x + 8. Let p be (1 + (-1)\/5)*5. Let u be n(p). Suppose s = j - 3 + 4, 4*s - 2*j - u = 0. Solve -4*o - 9 = -s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 14*v - 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7812 divided by 1895.\nAnswer: 7812\/1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*z + 27 = -3, 2*z = 4*d - 10. Solve d*o + 24 = 4*w, 3*w = 2*o + 15 - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 391 + -312. Suppose 6*s + 18 = 9*s. Let r(v) = v**2 - 9. Calculate the remainder when g is divided by r(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 38, -0.2, 2\/5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -10*a + 456. Suppose 2391 = -16*q + a*q. What is the remainder when q is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/3 + 4085*l**4\/3 + 42122*l**3 + 180352*l**2\/3 - 2044*l\/3 - 20039 = 0 for l.\nAnswer: -29, -1, 1\/2, 2073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7}. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 8*v - 13. Let b(l) = l**2 + 18*l - 4. Let c be b(-18). Let z be h(c). Let d(y) = y**2 + 9*y - 22. Does 2 divide d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = 22*n - 26*n, -5*d = -n - 11. Calculate the smallest common multiple of 34 and d.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-14) + 2\/(-7). Let g = -5 + 4.2. Let a = g + -0.2. What is the closest to a in w, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(0 + 6 - 12*a + 4) - 2 + 2 - a as d + t*a and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 517, 1694, 2871, 4048, 5225?\n\"Answer: 1177*c - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g - 1. Let a(b) = 14*b + 3. Let u(o) = -6*a(o) - 17*z(o). Let s be u(4). Let h be (2 - -6) + (-1)\/(4\/12). Solve -s*p = -8*p - h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:06 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*b - 32, -g + 22 = 2*b + 3*b. Is g\/2*-22 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - 2.01. Which is the smallest value? (a) y (b) -1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -22 - 2. Does 7 divide (-1053)\/(-36)*(-16)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2107 + 1014. Let s = 96942\/47 - 1486091\/470. Let k = s - f. Calculate the common denominator of 56\/5 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 less than 485097.902?\nAnswer: 485097.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 12*k**2 + 0*k**2 + 0*k**2.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -278\/225 + -97\/225. What is the smallest value in -4\/19, -0.3, h, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224721111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:57 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u - 1427042 = -66*u - 143*u. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-14)\/21 - (-1)\/3). Suppose a*x + 4*y = 165916, 3*y - 55316 = -x - y. Round x to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v - 3*w - 18, 85*v + 3*w = 87*v - 18 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-40)*(24\/8*(-14)\/42)\/(-1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -52. Let u be 9 - 0 - (0 + 3). What is the highest common factor of u and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3116 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2500 - 29939\/12. Calculate the common denominator of -79\/12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (1 + 6*(-3 + -2*(sqrt(180) + 4))*5)**2.\nAnswer: 236880*sqrt(5) + 756250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -251159280 to the nearest one hundred thousand.\nAnswer: -251200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/4 + 2*i. Let t(c) = c - 7. Let g be t(9). Let m(k) = 24*k**g + 18*k**2 - 40*k**2. Calculate m(l(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 638822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o. Let j be a(-2). Let v be -8*(1\/j + 0). Factor -v*g + 2\/5*g**2 + 0.\nAnswer: 2*g*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17226496 divided by 128.\nAnswer: 134582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose 0 = 4*x - q*v - 16, 0*v - 8 = -2*x - v. Suppose k = -x*k + 100. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5 - 27 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 46.9. Let d = -4.6 - -5. Let w = m - d. Which is the nearest to -2? (a) 0.2 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**7\/1260 + a**6\/180 - a**4\/9 + a**3\/3 + 16*a**2. Let j(y) be the first derivative of k(y). Determine r so that j(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18\/209, -3\/7, 109?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1187544248 by -22.\nAnswer: 53979284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:27 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4, 135*p - 832 = 3*o - 1390 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/31 or 0?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -16. Let q be d\/(-6)*(-102)\/9. Let k = 45 + q. 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 (-10 - -17) + -34 + 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i - 2*i)*(2*i - 2*i - 2*i**2)*(-1 - 1 + 0).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-23*c + 29842113*c**2 - 29842112*c**2 + 11*c**3 - 10*c**3 - 6).\nAnswer: c**3 + c**2 - 23*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 8. Let f = -6 + k. What is the remainder when (f\/15)\/(1\/18) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a + 12. Let s = -3 - a. Calculate the common denominator of (1 - 11\/(-14)) + s and -127\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-36) - (-210)\/(-27). List the prime factors of (b - -8) + 60 + 2.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 15. Let p(b) be the first derivative of 0*b - 8 + 1\/2*b**2. Give i(p(d)).\nAnswer: -d - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + 57. Suppose 22 + 4 = 2*b. Calculate the greatest common factor of b and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22a - 74a?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 26 = 3*o + o, 5*w + 5 = 0. Suppose 2*a - a - 5 = 0, 2*a + 85 = 5*z. What is the remainder when z is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52345*y + 1892 = -51872*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1270)\/(-6) - 12\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 226 and 6894.\nAnswer: 779022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 3. Let v be a(-11). Let h(p) = -p**2 - 9*p + 2. Let b be h(v). What is the first derivative of 11*x**4 - b*x**4 + 3 + 2 - 2 wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13668180899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 723272 divided by 7?\nAnswer: 723272\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and 0.1?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/24096765 and -5\/5384.\nAnswer: 192774120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9164419\/72965 - -3\/14593. Let i = 2357\/20 + p. Calculate the common denominator of i and -117\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 20\/3, -20860 in descending order.\nAnswer: 20\/3, 0.4, -20860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30130487503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2*i**3\/3 + i**2\/2 - 3*i + 10. Let g be s(-2). What is the remainder when 31 is divided by 3 - (1 + g*6\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2925963, -4, -13 in descending order.\nAnswer: -4, -13, -2925963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2542, -4478, -6420, -8374, -10346, -12342, -14368, -16430?\nAnswer: -18534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = m + 2, -3*x + 7*m = 2*m - 10. Suppose 0*v - v - 2*f = -69, -2*v - 3*f + 134 = x. Calculate the remainder when v is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14*1\/((-39)\/(-12))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3695*u + 114543. What is f(-31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + 317909146.11.\nAnswer: 317909154.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000163367 rounded to 6 dps?\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/4 + (-3)\/12. Let q(z) = 3*z - m + 2 + 0 + z. Calculate q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 4713*i**2 - 327672*i - 5828112.\nAnswer: -3*(i + 36)**2*(i + 1499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -85\/3*s**3 + 0*s**4 + 0*s - 111 + 0*s**5 + 0*s**2 + 95\/6*s**6. What is the third derivative of q(v) wrt v?\nAnswer: 5700*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189 + -1123\/6. Let p = q - 7\/3. Let j = -4.2 - -0.2. Put j, p, 3 in increasing order.\nAnswer: j, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75768700 to the nearest one hundred thousand.\nAnswer: -75800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -10, 3, 5, 79 in descending order.\nAnswer: 79, 8, 5, 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3499.009 rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 73 (b) -2\/9 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158388 divided by -39597.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/12 - 31*y**3\/6 + 21*y**2\/2 + 81*y. What is the units digit of r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-38 - -64) - -24) + 117\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tattaaa. What is prob of picking 3 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012204 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*d - 25, 5*d + 15 = 4*q + 4*d. Suppose 3*g = 5*h - 49, -h + q*g = 3*g - 14. Suppose 0 = -l + h - 3. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.33479606.\nAnswer: 2.34357242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 5*k**2 + 27*k + 18. Determine i(-7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -10. Suppose 2*r = 2*j + 254, j - 6 + v = 0. Let z = r + -78. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8962265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-8) - 1\/4. Suppose 4*r - 25 = -r. Suppose n - 15 = 3*p - r, 5*p + 10 = 0. Put n, 1, u in ascending order.\nAnswer: 1, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 39, 52?\n\"Answer: 13*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 + 6 = -l, l - v + 3 = 0. What is the common denominator of 8267\/(-882) + 8\/(-14) - l and -37\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 * -0.00112\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12004 + -12003.89373. What is q rounded to 3 dps?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -10404.\nAnswer: -1\/1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575370002 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*q - 0*q. Suppose -3*n + 10 + 2 = 0. Suppose 0 = 3*h + 2*x - 0 - 7, 3*h - n*x - 31 = 0. Solve q*m = -h*v + 6, 12 = 5*m + 3*v + v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/2 - 6*o**3\/5 - 17*o**2\/5 - 6*o\/5 - 5. Factor b(x).\nAnswer: 2*(x - 3)*(x + 1)*(5*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 - 5*y**3 + 3*y**3 + (0*y - y - 4*y)*(0*y**2 - 2*y**2 + 0*y**2) + 4*y**3 - 4*y**3 + 2*y**3 + (0*y**2 + y**2 - 7*y**2)*(-5 + 5 + 3*y).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3509597971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v**3 + v**2 - 1. Let o = -107 + 106. Determine m(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r**2 - 22*r**3 + 10*r**3 + 14*r**3 + 16*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*x - 4*x. Let t(h) be the first derivative of -8*h + 2*h**2 + 10\/3*h**3 - 1\/6*h**6 + 1 - 4\/5*h**x - 1\/4*h**4. Factor t(z).\nAnswer: -(z - 1)**2*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.051 in -2, -5, -9, -121, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -99501, -99500, -99499, -99498, -99497, -99496?\n\"Answer: o - 99502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -142.\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.2 (c) 1.2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9311 + 10047. Calculate the highest common divisor of x and 13064.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 10826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, w: 11, h: 2, r: 1, t: 1}. What is prob of picking 1 r and 1 a?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 2, e: 1, z: 1, q: 2}. Give prob of sequence ex.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -8431.6 and 0.0817.\nAnswer: -8431.5183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(44))**2*6.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5890 times -25530\nAnswer: 150371700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2415 and 266547.\nAnswer: 9329145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14578 or 2373?\nAnswer: 2373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8344433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -6, -32, -1, 9, -2.\nAnswer: -32, -6, -5, -4, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-9 + (2 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - s - 2*s**2 + 1 + 5*s + (-s - 2*s + 5*s)*(-s + 0*s - s) + 5*s**2 + 0*s**2 - 3*s**2.\nAnswer: -4*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 2179837814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 338146.\nAnswer: 3\/338146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:40 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.021 in 5\/12, -3, 25, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 194.8, -4, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3367238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + 2*q)*(-10*q**2 + q**2 + 4*q**2).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 542030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 72*k + 547. Calculate the least common multiple of o(-5) and 4.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.83 + -6.3. Let z = -0.53 + x. Let m = -1 - 0. Which is the closest to z? (a) 5\/4 (b) 2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*s - 11 - 17 = 0, 5*s + 37 = 4*a. Suppose -2*l = -4*d - 24, -5*d - a - 15 = -2*l. Calculate the least common multiple of 10 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*c - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*x - 90, 0 = 3*w - 5*x - 90 - 179. Suppose 2*k = i - 2*i + 14, -3*i + k + 21 = 0. What is the greatest common factor of i and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c**2 + c. Let b be 0*1\/(-4) + 4. Suppose 18 = 4*j - b*d - 34, -2*j + 30 = -4*d. What is the smallest common multiple of o(1) and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 - 12*q - 36 = 0. What is q?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from cxxcbcbbc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 15*k + 71. Let x be t(11). Let a be (12\/x)\/(-2) - 83\/(-9). Solve -a = v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5)\/5*-21)\/(15 - (-193495)\/(-12900))?\nAnswer: 2, 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 5 - (-6 + -17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270067873 is divided by 1393?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*f = 2*f - 2098, 5*f + 2084 = 3*i. Suppose 2*s + 138 = v + s, -5*v = 3*s - i. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1300) - -3*(sqrt(1300)*3 + sqrt(1300) - sqrt(1300))**2) + (0 + sqrt(1300) + 3 + sqrt(1300) - sqrt(1300) - sqrt(1300))**2.\nAnswer: 10*sqrt(13) + 35111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 2 = -p - 0, -2 = p - 0*p - 19*w + 22*w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558115891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -10, 3 in descending order.\nAnswer: 3, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7\/3, 0.05, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39411343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -585.192 + 579. Let w = o - 0.008. Let u = w - -7. What is u rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 22*a + 1316 = -18*a, -529 = -2*v + a. Calculate the highest common factor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 3*a**4\/4 - 7*a**3\/6 - 203*a. Let t(u) = 6*u**2 - 5*u. Let h be (6\/4)\/(18\/84). Calculate h*t(c) - 5*j(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144.3 - -143.8. What is the nearest to -1 in c, -1, -4.3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.75? (a) 1 (b) 1\/4 (c) 2 (d) -26 (e) 6 (f) 0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3 + 37*w + w + 5*w - 6*w. Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 10*d + 6. Suppose 0 = b + 5*l + 12, 3*l = -6 - 3. Calculate the smallest common multiple of c(10) and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/47 in 0.5, 63, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.2 - 2.2. Let l = 14 - 14.1. What is the nearest to l in 32, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 15*y - 15. Suppose 2*i = r - 4*r + 12, -5*i + r + 30 = 0. Let h be o(i). Let w be (-24)\/h*20\/8. Which is the nearest to 0.1? (a) -2\/5 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 22 + 34. Suppose 24 = -5*l - 4*w + 1, 0 = -2*l - 4*w - p. Is (-1*1 - l)\/((-12)\/(-9138)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(187) - sqrt(187)*3 - sqrt(187) - sqrt(187) - sqrt(187)))\/sqrt(11))**2.\nAnswer: 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 222546498462.999999364 - 222546498074. Let r = -389 + n. Round r to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1883 + -1598. Calculate the remainder when s is divided by 282.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/55 - (-26 - 4314\/(-165))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 1. Let x be (0 + -1)\/(2\/(-2)). Let k(a) = 8*a - 6. Suppose 5*q - 42 = 3*q. Suppose 0 = 5*t - r - 3*r + q, -5*r = 4*t + 25. Give t*d(j) + x*k(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -107. Find the third derivative of -15*s**3 + s**2 + c*s**2 - 5*s**3 wrt s.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 18?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561561064.\nAnswer: 2, 70195133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -183\/8*q**3 - 27\/2*q - 21\/4*q**4 - 63\/2*q**2 - 3\/8*q**5 + 0.\nAnswer: -3*q*(q + 1)**2*(q + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9366390 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*s**5 + 276*s**3 + 2*s**2 + 560*s + 211.\nAnswer: -14820*s**2 + 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjxx. Give prob of sequence xjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = u - 14. Suppose -63800000 = -2*s + 5*l - l, -u*s = l - 63800000. Round s to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2946770*w + 67571 wrt w?\nAnswer: -2946770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u. Let x(b) = -24*b**2 + 14*b + 14. Suppose 21 = 7*l - 14. Let g(s) = -1 + 1 + 3 - l*s**2 + s + 2*s. Let y(m) = 14*g(m) - 3*x(m). Give y(v(c)).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:26 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13612?\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = -2*z, z = 6*z - 3*m - 12. List the prime factors of 31 - ((z - -5) + -2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 263, 525, 789, 1055?\n\"Answer: n**2 + 259*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5107040, 5107059, 5107114, 5107223, 5107404, 5107675?\nAnswer: 5108054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a - 18. Let c(f) = 30 - 19*f + 4*f - 5*f + 23. Let l(y) = 4*c(y) + 11*z(y). Give l(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/6)\/(47\/94)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 5:11 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, t: 3, g: 4, p: 3, o: 6}. What is prob of picking 2 p and 2 o?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:56 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:13 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/677 + 2039\/2708. What is the closest to 17 in i, 24, 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 819888361 a multiple of 4313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4651*c + 114. Let r(y) = -9302*y + 209. Calculate -11*k(z) + 6*r(z).\nAnswer: -4651*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000745653533 rounded to 6 decimal places?\nAnswer: 0.000746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**6\/45 - n**5\/60 + n**4\/24 - n**3\/6 - n. Let d(s) be the second derivative of v(s). What are the prime factors of d(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 308*i + 3160. Let t be g(-10). Let j = -36 - 0. Find the common denominator of (-664)\/j*(-2 - 46\/t) and -25\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2877388079\/14 - 310911274993\/1512. Let z = -101430 - u. Calculate the common denominator of z and -37\/4.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d**2\/9 + 36*d + 22 = 0 for d.\nAnswer: -3\/5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d - 6. Let k = 15 + 21. Suppose -2*u + k = -8*u. Let r(o) = 3 - 4 - 2*o - 4 - 6*o. What is u*r(f) + 5*q(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78.02598 millennia?\nAnswer: 936311.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24934931402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*g = -178, -3*g + 15 + 0 = 0. Is 15*-6*(-1)\/(-10)*u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 9}. Give prob of sequence ff.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 8*d + 8. Let x = 0 - -2. Suppose h = 3*n + 5*h - 33, -h = -x*n + 11. Let j be f(n). Put 5, j, -3 in descending order.\nAnswer: 5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64662 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -0.198 in increasing order.\nAnswer: -3, -0.198, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - 2*c + 1. Let z(m) = 6*m**2 + 2*m. Let i(n) = 5*q(n) + 4*z(n). Let g(a) = 0*a + a + a + 4 - 3*a. Calculate 3*g(h) - 2*i(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400727.9 kilograms to tonnes.\nAnswer: 400.7279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 32. Sort 6, -1\/5, l in descending order.\nAnswer: 6, l, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 19*w - 22. Determine a(-19).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32834?\nAnswer: 2, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 5, o: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 518 + 2?\nAnswer: 51a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178.224 + -0.224. Let w = -105 + i. Let j = w - 73.004. Round j to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.486 - 0.114. Let o = 16 + z. Sort 1\/5, 2, o in increasing order.\nAnswer: 1\/5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1) + (-2 - -1). Suppose -7*c + 5*c + 224 = g. Let p be (-2 + (-5)\/(-2))*c. Calculate the highest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggg. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/35 + 53198\/(-60). Let g = b + 887. Let m = 0 + -1. Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.099958. Round z to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449760134 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3402 + -3394. Solve 0 = 7*f + x - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*v*y + 171*k*x*y + k*y**2 + v*x*y**3 + 5*v*x*y - 4949*v + 39*x*y + 27*y**3 wrt v?\nAnswer: k*y + x*y**3 + 5*x*y - 4949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11. Suppose 3*g = k*r + 12, 4*r - 2*r + 28 = -5*g. Let u(j) = 3*j**3 + 9. Let y(v) = v**3 + 2. What is r*y(p) + 2*u(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-1*sqrt(22))\/sqrt(2) - sqrt(88)\/(sqrt(24)\/sqrt(3)))**2 + (-1*sqrt(539) + sqrt(11) - (sqrt(1331) + 0)**2).\nAnswer: -1320 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 448079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 14124197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 1.7, 0.4, 37, 4, 23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 599106679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*t = 12, 91*g = 92*g - 4*t + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, 23, -5 in decreasing order.\nAnswer: 23, 13, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94129 + -94158.6924. Let v = k - 0.0076. What is v rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + (-819)\/90)*30\/24. Is y equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/10, 0.1, 1\/13, 8\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41567492?\nAnswer: 2, 10391873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197012?\nAnswer: 2, 49253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1546644609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z = -62*z - 2. Solve 2*h + z*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 3, a: 5, j: 9}. Give prob of sequence ej.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 639\/497*35\/75*25?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnjqcniwqqqqjwqqwnq. Give prob of sequence ncqn.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999429.\nAnswer: 3, 79, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i + 17 + 6*i**2 - 4*i**2 + 4 + 10. Suppose 4*t - 20 = 28. Is g(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16108635 - -1738.\nAnswer: 1737.83891365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 10:08 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/84)\/(12\/(-14)). Let b = 3 - 4. What is the closest to 0.1 in p, b, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -866*j**3 - 1375*j**3 + 2200*j**3.\nAnswer: -41*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l - 10. Let z(w) = 1. Let c(n) = -q(n) - 12*z(n). Let j(o) = -o - 2*o + 5*o. Calculate c(j(y)).\nAnswer: -12*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 86527 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150852\/(-261090) + (-8)\/(-10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3312 + 0.4816. What is i rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.28 minus 16.2?\nAnswer: -19.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 132717748 a multiple of 6558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuhuuhhh. Give prob of sequence hu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38955)\/(-4452)*(-8)\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4 - 58486*w**3 - 14207036*w**2 + 57530040*w - 57764016 = 0?\nAnswer: -28998, -249, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/27690 and 21\/50.\nAnswer: 138450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**3 + 491*o**2 + 34*o**3 - 489*o**2.\nAnswer: 50*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 770 + 292 = 0. What are the prime factors of s?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/24269 and 27\/24269.\nAnswer: 24269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)*f\/(f\/f**(-1\/7)*f))\/((f\/f**1)\/f)**(-10) assuming f is positive.\nAnswer: f**(-127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -1 - (104 - (196 + -74)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**9\/5040 + v**5\/40 - v**4\/8 + 6*v**2. Let c(x) be the second derivative of k(x). Find the first derivative of c(w) wrt w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 7*c**2 - 8*c + 13. Suppose -7 = -5*n - 2. What is the remainder when x(6) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (166 + (-273735)\/1650 - -11*(-46)\/60)\/(-1).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -4*l + 2*z, -2*z - z + 3 = 0. Suppose -l = -2*t - 0*t. What is the tens digit of t - (-3)\/((-12)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 113.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54845.\nAnswer: 5, 7, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -536827 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -15836857 less than -15836856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.89 - 0.11. Let n = 4.9 + x. Let t be (-4)\/(-6) + (-1)\/(-3). Which is the nearest to t? (a) -0.2 (b) n (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*r = -4*r + 22, 0 = -2*q + r + 8. Let n = q - 1. Solve n*h = 17 - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673, -1395, -2113, -2827, -3537, -4243?\nAnswer: -4945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -273*d - 2439. Find the common denominator of -33\/4327 and q(-9).\nAnswer: 4327","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 779217 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**2\/2 - 4*n - 1. Let r be q(-8). What is the third biggest value in -0.1, r, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 130, 301, 564, 955, 1510, 2265, 3256?\n\"Answer: 6*h**3 + 10*h**2 + 99*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -22*w**2 - 6*w - 16. Let p be t(-6). Let q be (16\/(-20))\/(p\/(-10)). Do q and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7*a + 4776. Let q = -494 - a. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 2*d**2 - 44. Let w(v) be the first derivative of 6*v**2 + 3. Calculate a(w(s)).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4405.892 to the nearest 10.\nAnswer: -4410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -3\/265894292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**6\/120 - x**5\/4 + 2*x**3\/3 + 14*x**2. Let j be b(15). Put -1\/15, -2, j in descending order.\nAnswer: j, -1\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7153.\nAnswer: 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 175079?\nAnswer: 39\/175079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d. Let h(t) = 3*t + 6. What is h(m(o))?\nAnswer: -9*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u - 4. Let t be n(-3). Solve -t*w = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*v + 325 = 79*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 50, 2\/3, 7, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l**3 + 5439*l**2 - 115143*l + 28446 = 0. What is l?\nAnswer: 1\/4, 22, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 13*j**2 + j + 8. What are the prime factors of m(13)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:51 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 88 + 2 - (15 - -1 - (183 - 159)) - 3\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let w be f(-1). Suppose 0*j - w*j = -2*k + 28, 5*k + 32 = -j. Let c = j + 54. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1525223, 1525219, 1525213, 1525205?\n\"Answer: -g**2 - g + 1525225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 268993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 1) + 33 - (9\/(-3) + 2) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5728 is divided by 153.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 2, o: 2, m: 1, c: 1, u: 1}. Give prob of sequence dddq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18470*z**3 - 18451*z**3 + 4*z - 4*z.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:57 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**10\/50400 - k**6\/180 - k**5\/30 - 4*k**2. Let o(f) be the third derivative of i(f). Differentiate o(a) with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let k = -4.37 + -1.63. Which is the second biggest value? (a) k (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8693884 is divided by 4346930?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 10 - 25. Let m be (n + -9 - -3)*(5 + -4). Sort -1, 5, m.\nAnswer: m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = f + 2*y, 3*y + y + 20 = 0. What is the highest common factor of 52 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14365?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192843 is divided by 108434?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 17\/2, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6206969 weeks to minutes.\nAnswer: 6256.624752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162610040.\nAnswer: 2, 5, 107, 37993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*v + 1 = 5*z + 69*v, -43 = -5*z + 3*v. Let g = -34 - -50. Solve z*w = 3*p + 34, 2*w = p + p + g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -6, 0.2, -29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3 = 5*b, -2*b + 1 = -8*s + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 9*t**2 + 2*t - 13. Let k be d(9). Sort 5\/2, k, 2\/465, 0.1 in ascending order.\nAnswer: 2\/465, 0.1, 5\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:55 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.4, 6, 0.14, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -426779376493 and 32.\nAnswer: -426779376461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -p + 9, -5*p = -p + t - 22. Let z(h) = -h - 7. Let b be z(-10). What is the second derivative of w**5 - b*w**p - w + 0*w wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 2*c**2 - 3*c + 2. What is b(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 222049170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-3)\/(-18)) - (-11 - -16). Is (2\/(11\/((-476465)\/(-10))))\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2357*d - 3092*d + 1875*d + 175126 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 97942 - 97942. Let o(d) be the first derivative of -6 + 0*d**2 - 1\/3*d**3 + 2*d. What is i(o(u))?\nAnswer: u**4 - 4*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(4\/(-96) - 27984\/38016).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - 2*u**2 + u. Let o be w(1). Let s = 3 + -2. Let p be 2*2\/4*s. Solve -o*d - 4*r = -14, -1 = -3*d + 2*r + p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 40. Suppose -5*q + 3*l = y, -24 = -0*q + q - 5*l. Solve -4*f = 11 + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*l - 5. Suppose -l = -v + 1. What is the second derivative of 3*p + 0*p - 7*p - v*p**2 wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.6, -183, -70?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 13*w**2 + 2. Let l be t(13). Suppose -2*s + 2*i - 2 = 2, 4*i - 17 = -5*s. Solve s = -l*m - y, 0 = -y - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y - 308 = 0. Suppose 5*n - 125 = -3*m - 2*m, 0 = -3*n - 4*m + y. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3))**(-14)*x\/(x\/((x\/(x**(-12)*x))\/x))*x*x*x*(x\/((x\/x**(-3\/8)*x)\/x))\/x assuming x is positive.\nAnswer: x**(-145\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 9) + (6 - (-16)\/2). Let k(h) = 112*h - 221. Give k(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {i: 2, j: 2, y: 4, s: 1, b: 3, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 35, 40, 37, 26, 7, -20?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1 = 4*i, -4*i + 3*t + 19 = 4*t. Let x(g) = 11 + g**2 + i*g + 4 + 6*g. Is x(-10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*p - 3 = 7, -l + 4*p = -4. Let a = l + 6. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(6\/5))\/y)\/y*y)**45*(y*y**(-29\/2)*y)\/y**(-28) assuming y is positive.\nAnswer: y**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 1:20 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + 2*d + 3. Let r be i(5). Let f = r + 148. List the prime factors of f.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -903\/20156 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/475*(-171)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*y + 65533 = 91503 for y.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 6*g + 6. Let r be i(4). Let j be (-4 + 18)\/(r\/163). Is (-3 - -2)\/(7\/j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -321\/1199?\nAnswer: -321\/1199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 + -174. Suppose -h = -4*f, 4*y - y = 4*f - 6. Solve 0 = -2*r - 4*g - 1 - 3, -3*r - y = 2*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5034)\/(-30) - 3\/(-15). Suppose 2*k - 2*b = n, -3*b + 21 + 287 = 4*k. Calculate the remainder when k is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 10*t**3 + 5*t - 4*t - t**4 - 116*t**3 to the form z*t**2 + n*t**3 + i*t + f + u*t**4 and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-2)\/(-54) - 12\/216.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-38 + 0 + -1)\/(-1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, 45, 107, 171, 237, 305?\n\"Answer: l**2 + 57*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*i**3 - 182*i**2 wrt i?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2623 - -2625. Let v(k) = 2*k**3 - 2*k**2 + k - 1. What is v(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (1 - -7) + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4 = -2*h, -k + 111*h = 110*h + 4. Sort 2, 11, 9, k in increasing order.\nAnswer: 2, k, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 9\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031116 to three dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -574 + 582. Suppose 4*h + 4 = -p. What is the third smallest value in 91, -2\/13, h?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-25)\/(-5))\/(-5). Is (h - -1934) + (18 - 16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 18879665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.692261 minus 7.07?\nAnswer: -11.762261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a52686 (base 11) in base 14?\nAnswer: 6606a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -14*n - 18. Suppose 0 = -4*k - 5*i - n, 0 = -0*k - 3*k + 3*i - 27. Let a(l) = l**2 + 8*l + 8. Let c be a(k). Solve -o + 0*o = -c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 278 = -5*m + 2*m, 0 = 5*s + 4*m + 347. Let x = s - -62. Let b be (-4)\/(-1 - x\/12). Solve -w + b = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.11, 2\/7, -1, -0.15?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 2. Let s be g(0). Let p(y) = y**3 - 3*y**2 + 3*y - 2. Let h be p(2). Let a = h - -4. Solve 10 = -a*d + s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-5))\/((-1)\/5). Suppose 4*a + 5*l = 1, -5*a - 8*l + 3*l + 5 = 0. Suppose c*d + a + 2 = 0. Let b(j) = -j - 4. Calculate b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -0.7, 3\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8548*t = 8612*t - 960 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104413.142 rounded to the nearest 1000?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.02 + -0.02. Let x = -220583\/202 - -1092. Let w = 209\/1414 - x. Which is the third smallest value? (a) w (b) -4\/7 (c) -3\/4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56067543.\nAnswer: 3, 7, 37, 67, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524272, 524254, 524236, 524218, 524200?\nAnswer: 524182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 2*x - 3*p + 931, 5*p = -4*x + 737. Suppose -4*i - 56 + x = 0. What is the greatest common divisor of 561 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:31 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-19745)\/22)\/((-40)\/16) is divided by 182?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2935.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1616 divided by -418830?\nAnswer: 808\/209415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*t**2 - 309*t**2 - 5435*t**3 + 153*t**2 - 40*t.\nAnswer: -5435*t**3 - 40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, g: 3}. What is prob of sequence gi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*t + 18729 + 6736, -20372 = -4*u - 2*t. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (-42)\/609 - (-37209)\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 660954, 1321899, 1982840, 2643777, 3304710, 3965639?\n\"Answer: -2*x**2 + 660951*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d**2. Let j(y) = y - 3. Let x(p) = p - 1. Let v(w) = j(w) - 3*x(w). Give v(c(g)).\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*l - 2435 = -136*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -7*i - 0*i - 190 - 2, 4*i = -y - 3529 + 3416 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -103 + -5?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164366 is divided by 2341.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 3. Let y = 12 + 14. Suppose -c + 59 = -2*l, -c = -4*l - 125 + 10. Let h = y + l. What is r(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 200156212 - -14?\nAnswer: 200156226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8387?\nAnswer: 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117.0912 - -117. Let w = -0.15 - -0.06. Let q = w - j. What is q rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a = 20. Let m(f) = -f**2 - 6*f - 1. Let c be m(-5). Suppose 4*j = h - 3, 4*h - 6 = c*j + 6. Solve -a*w - 5*p = 29, -w + h*p - 2 + 16 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(70) + 1*sqrt(70))*4)\/(sqrt(50)\/sqrt(5)*6*-2).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*x**4 + 3 + (-20*x - 39*x**2 + 20*x)*(21*x**2 - 17*x**2 + 23*x**2) to the form q*x**3 + v*x**2 + b*x + d*x**4 + r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6803517 or 6803513?\nAnswer: 6803517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, -507, -488, -451, -390, -299, -172, -3?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.997 + 0.003. Let z = -17 + g. Let w = z - 4.00000016. What is w rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -35*w + 2089. Let r be u(58). Solve -r = 42*m + 235 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.5 + 27. What is the nearest to -0.1 in -3, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -9. Let t(a) = 2*a. Let w be t(2). Suppose -83*r + 657 + 154 = -351. Solve -5*n + 8 + r = -p, b*n + w*p = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*r + 5 - 5 in the form j + i*r and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 49 = 3*x. Let t = x + -3. Let i = t + 21. Solve i*p - 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 9, -15.\nAnswer: -15, -7, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176cc (base 14) to base 6.\nAnswer: -1133020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let z = 0 + g. Let o = 4 + z. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) -5 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + ((sqrt(209) - 1*-2*sqrt(209) - sqrt(209)*-2*1)\/((sqrt(11) - (sqrt(396) + 1*sqrt(396)))*4))**2).\nAnswer: 46025\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1985.447 to the nearest integer.\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(2*v - v - 2*v) - 2*v + 2*v + 14*v + (9 - 6 - 2)*(4*v + 0*v - v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4*2*(-3)\/12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 19. Suppose 2*r - 20 = 4*n - 4, n + 14 = 3*r. Suppose 0 = -0*s + r*s - u. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15733453 by -1.\nAnswer: -15733453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -15*j + 145. Let q(h) = h**2 - 34*h - 1382. Let i be q(-24). Determine n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (14 - 15)) + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4*c. Let u be k(-4). Suppose 4*t - 3 = -0*t + r, u = -5*r - 15. Which is greater: t or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/23 (b) 1262 (c) -0.3 (d) 0.07 (e) 14\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 5*p - 2*p)*(-10 + 8 - 19*p - 59*p) to the form a*p + f*p**2 + q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -1202.\nAnswer: 721.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/6, 7, 0.061?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 103696039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101241 - 230*q + 101229 + 101229 - 303700.\nAnswer: -230*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**4 - 2*h**4 - 3*h**4 - h**3 + h**3 + 2*h**4 + (-3*h**2 - 3*h**2 + 2*h**2)*(-140 + 140 - 10*h**2) as k + o*h**3 + g*h**4 + i*h + m*h**2 and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 2 - 64*t + 62*t)*(-2769*t - 4*t**2 + 2767*t + 2 + t**2) to i + c*t + l*t**2 + y*t**3 and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 6*n**2 + 5*n + 3. Let s be q(5). What is the third derivative of s*a**5 - a**5 + 3*a**2 - 2*a**2 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1314 and 2556.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 169, 15, 1.011, -4 in ascending order.\nAnswer: -4, 0, 1.011, 15, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1522\/5 - -304. Let l = 60 + -59. Which is the smallest value? (a) -5 (b) y (c) 0 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o**2 - 66*o - 86. Let l be b(13). What is the highest common divisor of 12 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, l: 1, u: 1, k: 1, f: 1}. Give prob of sequence rklf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2963 - -2966. Let s(x) = -7*x + 31. What is s(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1962522 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 72*o - 65*o. Suppose 3*p - 17 = -3*y - 2, y = o*p - 13. Solve -5*w - 13 = g, p*w + 12 = -w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzbb when four letters picked without replacement from zzzbzzzzzzzzzzzzzzb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 3.44?\nAnswer: 3.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8020*m - 2650*m = 4565*m - 169*m - 105462 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 4433?\nAnswer: 4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -221122 (base 4) in base 11?\nAnswer: -1a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614562 is divided by 485.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6)\/4 - (1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**(1\/3)\/a*a\/(a\/(a**(1\/10)\/a))*((a\/(a*a\/a**(-1\/4)))\/a*a)**(1\/84)*(a*a**0*a*a)**40\/(a**1\/a)**(2\/75) assuming a is positive.\nAnswer: a**(202303\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 152226.834 rounded to the nearest 10?\nAnswer: 152230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13*j. Let c(o) = 3*o + 108. Give n(c(s)).\nAnswer: -39*s - 1404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 40.03. Which is the third smallest value? (a) g (b) -2\/7 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15794838.1 rounded to the nearest 10000?\nAnswer: -15790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45 + -43)\/((-1)\/(-7 - -1)). Solve 6 - n = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 0, -3566, 5 in increasing order.\nAnswer: -3566, -1, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184535137 or -184535136?\nAnswer: -184535137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvcvvccvv. What is prob of sequence cvc?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, p: 1, f: 1, t: 1}. What is prob of sequence gt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = p - 31, -2*p = 2*p + 4. Let d = -16 + v. Suppose a - 3*j - 14 = 17, d = 4*a - j - 168. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 709 + -737 - (19 + -5).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Let c(h) = h + 4*h + h**m - 2 + 1. Determine c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-15)*(7*4\/14 + 1). Let j(t) = -2*t**2 - 6*t - 3. Give j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(6\/19)*(h\/h**(14\/11))\/h*h*(h\/(((h*h*h**(1\/13))\/h)\/h))\/(h**(3\/8)\/h) assuming h is positive.\nAnswer: h**(34585\/21736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1437 + 2156. What is q rounded to the nearest ten?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89414 = -4*q - 674586. What is q rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + l + 5*l - 2*l. Let r(x) = -28*x**2. What is b(r(m))?\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + 66?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -301936 smaller than -905807\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + 3*x**2 - 3*x**2)*(-4*x**2 + 4*x**2 - x**2)*(-30 + 110 + 13) to c + m*x**2 + h*x**4 + j*x**3 + y*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3\/3 - 4*o**2 + 11*o - 27. Let h be s(7). What is the second derivative of 2*v + 3*v**h - 3*v**4 + 11*v + 3*v**5 wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 36, 0 in ascending order.\nAnswer: 0, 1, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115089600 to the nearest integer?\nAnswer: 10728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2776*p**3 - 8*p**2 - 2*p - 4. Let t(h) = 2*h**3 + 2*h**2 + h + 1. Determine r(o) + 4*t(o).\nAnswer: -2768*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210121230 (base 4) to base 11.\nAnswer: 41aa21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgym when four letters picked without replacement from emilyelg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-84)\/10) + 4\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -16*r**3\/3 - 473. Let v(b) = -8*b. Give o(v(h)).\nAnswer: -1024*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 38. Determine r(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20073 - -20072. Put 0, -1.7, h, -0.4 in descending order.\nAnswer: 0, -0.4, h, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11220010 (base 3) to base 15\nAnswer: -10cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d + 4*d**2 + 0*d - 3 - 2*d**3 + 3*d**3. What are the prime factors of n(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 12*v = 15*v + 953, 5*u = -2*v + 948. What is the remainder when u is divided by 77?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8*n = 273. Suppose -2*z - 21 = -x, 5*x + z - 85 = -24. What is the greatest common divisor of x and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 720000 = 6*w. What is w rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 288, 5, 247, -4 in increasing order.\nAnswer: -4, -1, 3, 5, 247, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -185, -261, -337, -413, -489?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-44)*6*(-25066)\/(-24). Let g = 30425\/11 + u. Let x = g - 3031. Calculate the common denominator of x and -101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 222 + -222. Suppose 5*r + 5*x - 13160 = 0, -5*r + 4*x + l*x = -13169. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-34)*((d*d\/d**(7\/11))\/d)\/d*d)\/((d*d\/(d\/d**(-2\/57)))\/((d\/d**(-5\/3))\/d)) assuming d is positive.\nAnswer: d**(-19396\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Suppose 11*z - 7*z + 36 = 0. Let i = z - -13. Solve i*a = 3*u + 12, -a + g = 2*u - 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.861 rounded to 2 decimal places?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) + sqrt(7) + -1*sqrt(63))**2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 4, -1, 2144\/25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*-5*2\/112*1?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-12 + 1)) + (0 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -81, 1, 3 in increasing order.\nAnswer: -81, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 23.47596 months?\nAnswer: 0.00195633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465469621 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t. Let c(a) = 60*a - 3. Give c(y(x)).\nAnswer: 120*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8*a - 36 = 0. Does 20 divide 10\/(-1 + a\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -4. Suppose -j*p - m + 1509 = -0*p, -2*m = -8. Does 43 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2341321073?\nAnswer: 7, 13, 17, 127, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/((16\/12)\/((-2)\/(-2)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-4)\/14 - 2\/(-7). Let z(y) = 2774*y**2 - 3. Is z(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1020 + -2?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130774687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(4\/39)\/(n**1*n)**(-13) assuming n is positive.\nAnswer: n**(1018\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1223*l**3 + 2*l**2 + 197*l + 395. List the prime factors of o(-2).\nAnswer: 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -16. Let f = q - 1. Solve -1 = -f*j - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -651 and 6?\nAnswer: -3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*x - 14, 0 = -3*x - 5*a - 0*a - 2 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 4*n**2 + 7*n + 7. Let z be y(-5). Let d be 2 + -2 + (0 - 1). Sort -4, z, d.\nAnswer: -4, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71.9 - -72. Suppose -s - 2*s = -2*g - 8, 0 = -4*g + 8. What is the nearest to 6 in y, 3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -92263 + 7*g + 0*g + 2*g**3 - 11*g**2 + 92258. Give h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/14)\/z**1)\/(z**(5\/7))**(-32) assuming z is positive.\nAnswer: z**(311\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 123949879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.35 + -0.05. Let q = 278 + -255. Let u = q - 34. Which is the third biggest value? (a) 0.5 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3087882 divided by 2334.\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/(((-45)\/5)\/2592). Let p = 148 - a. Solve p*s - 14 = 3*f, 0 = f + s + s - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 1.4 (c) 71281 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21283965 and 11.\nAnswer: 234123615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*y**2 + 6*y + 87*y + 111*y + 24*y**2 + 140*y wrt y.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148091 is divided by 1058?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*n - 2560308 + 2561538 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {z: 1, r: 3, x: 1, y: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7269411 to the nearest 100000.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 - 4 = 0. Let u = m - -1. Put 1, u, 0 in decreasing order.\nAnswer: u, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 18*q - 15. Let w be l(-17). Solve -2*h = w*h + 2*x - 14, -h + 5 = 2*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7647 less than or equal to 7747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/4))**(-2\/25)\/(w**(3\/7)\/w**5))\/(((w**(-1)\/w*w)\/w*w)**(-1)\/(w**(-2\/7)*w**(3\/5))) assuming w is positive.\nAnswer: w**(53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 22 = -2*l - 0*l + 13, 0 = -23*n - 18*l + 21*l + 32 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1043 - -1463. Let t = q + -807. Let g = t + 387.0159. Round g to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4545090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4031815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 423*g**2 - 7*g**3 - 12*g**3 - 420*g**2 in the form w*g**2 + u*g + z*g**3 + f and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(11\/3)*u**(1\/5)*u**(18\/11)*u assuming u is positive.\nAnswer: u**(1073\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:26 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 261 = -657. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 166?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g + 96. Let v = 59 + g. Suppose 4 + 31 = 7*d. Solve d*h + v = 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/6 (b) -3 (c) -5 (d) 99 (e) -454\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 2*k - 4*k + (0 + 2 - 4)*(-k + 2 - 2) + 339*k - 153*k + 516*k to the form a + c*k and give c.\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -241.7?\nAnswer: -241.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**5 + 7874*l**4 - l**2 - 14*l - 82.\nAnswer: -20*l**3 + 94488*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102469.\nAnswer: 43, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*(-15)\/6 + (15\/(-2))\/(-103 + 98).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -210212120?\nAnswer: -210212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by 1?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1399, -1528, -1657, -1786, -1915?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 37. Suppose -4 - 5 = -i*l. Find the second derivative of a**3 - 5*a**3 - 6*a - 5*a**l wrt a.\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1208, 3835, 8164, 14189, 21904, 31303?\n\"Answer: -o**3 + 857*o**2 + 63*o + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 2*v - 15. Let l(y) = -34*y + 35. Determine l(z(o)).\nAnswer: -102*o**2 + 68*o + 545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*3 - 50\/10. Suppose -h - 2*g - 3 = -g, -19 = -3*h + k*g. Which is greater: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/7924 and 91\/20.\nAnswer: 39620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqiihhqqfqfffh. What is prob of sequence hqqi?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-39)\/(-1) - (25 + -26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 496.2952 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (25 - 26 - (0 + -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 c when three letters picked without replacement from {s: 2, c: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 2 - (-38 - -36)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 7) in base 2?\nAnswer: 1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 79, 221, 493, 937, 1595, 2509, 3721?\n\"Answer: 7*p**3 + 2*p**2 - p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -202\/3 (b) -1\/2 (c) -0.053 (d) 0 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7412*m - 7416*m + 22054*m - 7229*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.84381 to one decimal place.\nAnswer: -111.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 3198706 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5827 = -700*j - 11673 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 27410*z - 179. Calculate s(0).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 2. Let m be u(4). Let y be (2 - (m + 5))*-5. What is the first derivative of -y + 7 - d + 13 - 7*d wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1935, 3, 17 in ascending order.\nAnswer: -1935, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + l**2 + 2*l + 4. Let j(y) = y**2 + 2*y + 3. Let b = 171 + -155. Let f be (-3 - (-60)\/b)\/((-1)\/(-4)). Give f*c(z) - 4*j(z).\nAnswer: 3*z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11842 is divided by 2947.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -23322023022?\nAnswer: -23322023021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 minutes after 7:41 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 747, 729, 699, 657, 603, 537?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 95*p**2 + 3*p - 2. Give k(1).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/12 - 14*g**2 + 19. Let p(r) = -r + 166. Calculate s(p(c)).\nAnswer: 2*c - 332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3215 (base 6) to base 3.\nAnswer: 1000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 - 32 = -34*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10*3\/180 + (-24099)\/(-18)?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -w + z + z, -12 = -w + 5*z. Let n = 3 - w. Suppose 6 - 24 = -2*d. Calculate the smallest common multiple of n and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46, 54, 64, 76, 90, 106?\n\"Answer: t**2 + 5*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -442414?\nAnswer: -442413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 + y**2 - 4*y. Let c(s) = -16*s**3 + 4*s**2 - 21*s. Let g(q) = -2*c(q) + 11*w(q). Let o be 5\/(20\/44)*-1. Let p be (o\/22)\/((-1)\/6). Give g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -1\/3*l**3 - 1\/90*l**5 + 1\/1620*l**6 + 0*l**2 + 0*l - 1 + 1\/12*l**4. Let j(t) be the third derivative of i(t). Factor j(n).\nAnswer: 2*(n - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2. Let v(p) = -3*p - 2*p + p. What is t(v(j))?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p**5 - 7*p**5 - 3*p**4 - 4*p**5)*(-5 + 18 - 1).\nAnswer: 24*p**5 - 36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 600377759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 278295 = -46537. Suppose 4*u + k + 3*k - b = 0, 4*u = k + 81198. Round u to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016990501466 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*sqrt(52).\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, -8, 5\/2, 43, -2 in descending order.\nAnswer: 43, 5\/2, -0.15, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34357 - -10088?\nAnswer: 44445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/3 - 22\/15. What is the nearest to -2\/3 in g, -1, 0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 5. Calculate r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from fffuuuffffuu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*q*u**5 - 2*q*u**3 - 112*q*u**2 + 7*q*u + q + 4*u**5 + 2 wrt u.\nAnswer: -3180*q*u**2 - 12*q + 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 31, 73, 153, 283, 475?\n\"Answer: 2*o**3 + o**2 - o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/6 + -3 + 2 - 5. Put -105, a, 1, 5 in decreasing order.\nAnswer: 5, 1, a, -105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525554.6 hours to milliseconds.\nAnswer: 1891996560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - y**2 + 4*y - 1. Let i(c) = c + 1. Let k be i(-8). Let p be (k - -1) + 8 + -5. Give m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 a, and 1 w when four letters picked without replacement from {f: 3, s: 1, a: 2, z: 4, w: 2, t: 2}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let j(g) = -183 + 537 - 184 + 21*g - 178. Give j(a(r)).\nAnswer: 42*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3\/148, 0.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f - 15*f. Which is the closest to f? (a) 44 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 2*p + 3. Let x(b) = -b**3 + 25*b**2 - 25*b + 18. Let g be x(24). Let t(j) = 3*j**2 + 2*j + 4. Determine g*n(r) + 5*t(r).\nAnswer: -3*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 3 - 3 + (-d - 2*d + 2*d)*(1 + 0 + 0) + 4*d - 3*d + 3*d)*(0*d + 0*d + 3*d**2) to the form y*d**3 + z + r*d**2 + v*d and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44511 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 2*t + 2 - 2. Let s be h(-6). Suppose -s*x = -x - 150. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2081 + 0.2081. Which is greater: 73.31 or c?\nAnswer: 73.31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 1:50 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 59 - 49 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 326, 712, 324, -1678, -6134?\n\"Answer: -140*j**3 + 453*j**2 + 7*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(68)\/sqrt(4) - (sqrt(85)\/sqrt(5) + 5))*3*2.\nAnswer: -30 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2884 * 56.\nAnswer: 161504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4. What is the second derivative of 15*k + k**p + 21*k**4 - 34*k**4 wrt k?\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 12. Let p be f(-8). Suppose -5*y - 4*m - 9 = -24, -3*y + p*m = -41. Solve y*o - 3*o = -8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -2 (b) -4.7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259\/3350 + -5\/134. Let i(q) be the second derivative of 0 - 4\/15*q**4 + 7\/15*q**3 + 3*q - 1\/105*q**7 - 2\/5*q**2 + 2\/75*q**6 + x*q**5. Factor i(n).\nAnswer: -2*(n - 1)**4*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.5 - 8. Let i = -91\/4 + 23. Which is the nearest to i? (a) t (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30379.8 rounded to the nearest 100?\nAnswer: -30400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 4. Let c be x(9). Suppose -6*v + c = -5*v. Does 3 divide 9 - 1*v\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3088*d - 123529. Give k(40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2842 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y - 9. Let q be p(0). Let c(j) = -5*j**2 + 9*j - 3. Let s(f) = -2*f**2 + 4*f - 1. What is q*s(n) + 4*c(n)?\nAnswer: -2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) + (-72)\/105. Let v = -7.425 + 6.925. Which is the fourth biggest value? (a) h (b) v (c) -2\/13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -78.78 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*m)*(4*m**3 + 152 + 5*m**2 - 4077*m - 1913*m + 5992*m) to z*m**2 + s*m**4 + k*m**3 + p*m + w and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -664836 or 34?\nAnswer: -664836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 69*z**2 + 180*z + 7483. What is f(-35)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 2*q**2 + 2*q + 7. Let w(v) = v**3 + 5*v**2 + 346*v + 1732. Let a be w(-5). Calculate m(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 20*w - 56 = 0, 93*c - 11 = 98*c - 6*w + 3*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -632.\nAnswer: 3160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-36)*1*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831*o - 610368 = -919*o. Is 68 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 72 + (-24)\/(-14) + (-406)\/(-49) + -8. Solve h*z = 70*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65234590, -65234577, -65234564?\nAnswer: -65234551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 1. Let k be l(-1). Suppose 2*r = -c + 3, -21 = -3*r - r + 3*c. Put 4, k, r in descending order.\nAnswer: 4, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 0.3, -152, 382, -0.5, 1\/2?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346025368 rounded to the nearest 100000?\nAnswer: 1346000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j - 2*j)*(0 - 1 + 0) - j - 3 + 3.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azqu when four letters picked without replacement from {q: 1, a: 1, z: 1, u: 4, r: 8}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 46*v**2 + 8*v - 56*v**2 + 0 + v**3 + 12. Let m be k(9). Solve m*d + 25 = 2*s, 8*s - d = 3*s + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2783, -2367, -1951, -1535, -1119?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 15*t + 37. Let h be a(17). What is the units digit of (12\/(-4))\/h*-61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1136*w + 10759 = -765*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426322 divided by -2.\nAnswer: -213161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 371, 3\/4, -2\/163, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 30 = -4*n. Let f(c) = 10*c - 15*c + 10 + n*c. Let q be f(-11). Let p(d) = 6*d**2. Determine p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7675\/77 + -1098\/11. Put f, 89, 0 in increasing order.\nAnswer: f, 0, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 at most -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972436 is divided by 501.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/17 + 13\/68. Suppose -9 + 412 = -173*m - 462. Which is the nearest to 1? (a) m (b) k (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 978984 - 67737 = 3*j, 0 = 5*g - 3*j - 1518745. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 12*p - 12*p - 1)*((-4 + 2 + 4)*(2 - 2 - 10*p) + 6*p - p - 3*p)*(-6 - 2*p + 6).\nAnswer: -864*p**3 - 72*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*r*x + 1520*f**2*r - 69*f**2 + 19*f*r*x + 3*f*x + 33*r*x + 2*x - 9 wrt f?\nAnswer: 4*r*x + 3040*r - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 14973*j**2 - 8. Let n(x) = -93341679*x**2 + 49870. Give 4*n(f) + 24935*z(f).\nAnswer: -14961*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x**(-40\/9)))\/(((x**(-3\/16)\/x)\/x)\/x))**(-17))**(2\/13) assuming x is positive.\nAnswer: x**(-21131\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q - 9. Let p(s) = 8*s - 10. Give -5*f(y) + 4*p(y).\nAnswer: -3*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65354.5 from 0.968.\nAnswer: -65353.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 7*c**2 + 11*c + 4. Let b be g(4). Suppose 68 = -3*k + k + f, b = 4*k - 5*f + 136. Is k > -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*q - 18*q - 75497 - 51491 = 0. Does 71 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10812.944 rounded to the nearest 100?\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = -6*w + 8*w + 21*w. Let i(k) = 4*k**2 - 41*k - 18. Give i(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1801, 3326, 5867, 9424, 13997, 19586?\n\"Answer: 508*m**2 + m + 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118981995, 118981994, 118981993, 118981992?\nAnswer: 118981991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b + 44*b - 3 = 0, -3*f + 18 = -4*b. Let x(i) = 2*i. Let q be x(6). Suppose -3*d - q = -45. Calculate the least common multiple of d and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003589767 to six decimal places.\nAnswer: 0.00359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20377759 - -20377758.29999992. Let i = -0.6 + 1.3. Let r = i + j. What is r rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2 - 9252*c - 7133292 = 0. Calculate c.\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(45\/12) - 1. Let u = -219.43 - -220.43. Which is the closest to u? (a) l (b) 42 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.8. Let x = 21.9 + -18.9. Let m = 1295 + -1296. What is the fourth biggest value in m, x, -2\/81, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzsvvvz. Give prob of sequence zzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-76)\/(-16) - 5). Solve -5*p - r + 4 = -p, 3*p + r - w = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14*l**2 - 760*l - 8872. Let y be f(-17). Factor -1\/3*v**y - 8\/3*v - 16\/3.\nAnswer: -(v + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0\/1)\/(105\/(-105)))\/(-6). Let y = 98688\/83 + -1189. Is y at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29274333 to the nearest integer?\nAnswer: 5411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50406\/(-2710) - (1\/1 - -8) - (-7)\/(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*r**3 - 3 + 1 - r**3 - 3 + 1 + (5*r - 2*r - 2*r)*(3*r**2 + 0*r**2 - 4*r**2).\nAnswer: -4*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 26*k**2 + k + 18. Calculate the remainder when 172 is divided by h(26).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (6\/(144\/1266))\/(3\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.2 - 27.2. Sort -2\/19, 0.3, 1\/19, -0.02, x in descending order.\nAnswer: x, 0.3, 1\/19, -0.02, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/21 - 11*x. Factor n(u).\nAnswer: -4*u**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - 4 - (-9 - -11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2800) + (sqrt(2800)*3*5 - sqrt(2800))))\/((-2*sqrt(40)*2)\/(sqrt(160)*2 + sqrt(160))).\nAnswer: 900*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -109*j + 12. Let u be m(-4). Suppose 5*a - u - 1054 = -3*l, 2458 = 5*l - 3*a. List the prime factors of l.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(56)\/sqrt(288) + sqrt(7))*5.\nAnswer: 3 + 35*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**6\/16 - 33*v**5\/20 - 201*v**4\/16 - 83*v**3\/2 - 1035*v**2\/16 - 189*v\/4 - 976. Find o, given that d(o) = 0.\nAnswer: -14, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -3 + 3 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u. Let m(i) = 107713*i. Calculate v(m(b)).\nAnswer: 430852*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-3)*(-108)\/72\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204568167 to the power of 1\/2, to the nearest integer?\nAnswer: 14303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000110001010100101 + 11?\nAnswer: 10110000110001010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/5 - 216924*w**2\/5 + 9114336*w\/5 = 0.\nAnswer: -108504, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 2*n + 15. Let s(v) = v**2 + 1. What is -j(k) + 4*s(k)?\nAnswer: 2*k**2 - 2*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71876685 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47297*k + 94610*k + 4*k**3 - 47313*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.82 - 33. Let i = -10.18 - u. Let d = i + 10.5. What is the smallest value in -0.7, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 1. Let d(v) = -1. Let p(s) = 1. Let x(j) = -5*d(j) - 6*p(j). What is q(z) - 3*x(z)?\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0068 - 0.0068. Which is smaller: -400 or a?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -177*g**2 - g + 1472. Let c(y) = -y**2 - 3. Let h(p) = 3*c(p) + i(p). Differentiate h(m) wrt m.\nAnswer: -360*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -19 (b) 22181 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Let c be 2 + 0 - (-62 - l). Let f = -38 + c. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 48*i - 200. Sort -2, i, -19, -1 in decreasing order.\nAnswer: i, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*i - 1691 = 9274 + 246 + 2901 for i.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -300 and -294 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 4*(-9)\/(-36). What is the fourth biggest value in -1\/6, 0.4, x, 2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-2)*((-1232)\/6)\/2. Let f = a + -313. Let s(t) = 5*t - 6. Let c(u) = 3*u - 4. Determine f*s(p) + 8*c(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -195*g + 12283. Let l be a(63). Let c = -71866\/159 - -452. Is c less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a microsecond in nanoseconds?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15)\/(l**(-8)\/l)*((l*l**(-2))\/l)**8)**43 assuming l is positive.\nAnswer: l**(-946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1855786 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -1\/2688*a**8 + 1\/960*a**6 + 1\/420*a**7 - 48*a**2 + 0*a**3 + 0*a + 0 + 0*a**4 - 1\/120*a**5. Determine c, given that m(c) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - w. Let k = -20524 + 20525. Let t(v) = -3*v**2 + v + 3. What is k*t(s) + f(s)?\nAnswer: -4*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 938478, 938457, 938444, 938439, 938442, 938453?\nAnswer: 938472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414 = -4*r - 330 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*a = -128*a - 99439 + 841851. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 237 - 42 = 0. What is the remainder when 150 is divided by z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:33 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 40, 47?\n\"Answer: 7*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 14) to base 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1. Let d(o) = -o + 2. Let x(f) = 2*a(f) + d(f). Let b(v) be the second derivative of 1 - 114*v - 1\/2*v**4 + 0*v**3 + 0*v**2. Give x(b(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = 6*b. Suppose 1 = 4*y - 7. List the prime factors of (3 - b - 1) + y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 104467147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46972 divided by -11743?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + 49. Let o be k(-12). What are the prime factors of 191 + (-1 - o - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:06 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3225555 (base 7) in base 9?\nAnswer: 658530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 = y. Let m(s) be the second derivative of -5*s**5\/4 - s**4\/12 + s**3\/6 + s**2\/2 - 10*s. Does 19 divide m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 6*l**3 + 0*l**3 - 6*l**3 + 3*l**3 - 2*l**3 + l - l - 2*l**3 + (2*l**2 + 2 - 2)*(3*l + 3*l - 4*l) - l + l**3 + l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 10466910?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 3, t: 1, z: 12}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/12 and -71\/616.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2040 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, u: 1, x: 2, c: 2, b: 3}. What is prob of sequence xux?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -79*((-1 - 129) + (-118 - -117))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, s: 1}. What is prob of picking 2 a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -3804b208?\nAnswer: 3804b20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685 - 1534 = 7*h. Let y = -173 - h. Does 36 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11166 is divided by 3718?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -5806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*f - 1156*f + 71965 = 0 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:41 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675111 by -3.\nAnswer: -225037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54781561.\nAnswer: 23, 2381807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 1. Let o be s(1). Let h(x) = 3 - 1 - o + 2*x - 2*x**2 - x**3. What is h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223*d**6 + 188*d**2 wrt d?\nAnswer: 26760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1731, 3794, 6251, 9096, 12323, 15926, 19899, 24236?\n\"Answer: -o**3 + 203*o**2 + 1461*o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**3 + 9*l - 9. Let h(r) = -r + 1. Let g be h(-8). Let k(y) = y**3 - 2*y + 2. Let v be 1 + 1 + (3 - 3). What is g*k(n) + v*q(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + 0.1. Let b = -98 + 60. Let m be b\/(-56) - (-6)\/(-14). What is the second biggest value in m, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/8 + z**4\/24 + z**3\/6 - 4*z**2. Let s be v(-1). What is the tens digit of 67\/3*(-5)\/(s\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - -6.05. Let u = 6.2 + -12.4. Let y = g + u. Which is the third smallest value? (a) 4 (b) -0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6772868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n + 3. Let t(o) = 7*o + 4. Suppose -6*h + 9*h + h = -20. Determine h*t(k) + 8*u(k).\nAnswer: 5*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339892, -339891, -339890, -339889?\nAnswer: -339888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (942 - 666 - 473)*(2*w - 5*w + 2*w + 1) in the form d + b*w and give b.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3 = -3*n, 5*n = -0*n - 5*s + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6222*w - 961. Is t(60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26+38\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/(2\/4). Let h = -1 - -3. Let d = h + -2. Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*3\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*n**4 - 166*n**2 + 157*n**2 + 2*n**3 - 2*n**3 wrt n?\nAnswer: 744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 14*s**2 + 12. Let k(d) = -d**2 + 10*d - 14. Let p be k(10). What is the units digit of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/9, -6\/149, 1\/5?\nAnswer: -6\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 3*g - 15, 5 = -u + 4*g - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b. Let q(t) = -337*t**2 - 25*t. Let i(m) = -168*m**2 - 15*m. Let g(j) = -10*i(j) + 6*q(j). Calculate d(g(v)).\nAnswer: -1368*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 - 4*s**2 + 5*s - 3. Let l be i(2). Calculate the greatest common divisor of l and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 19*d**3\/4 + 12541*d**2\/4 + 38109*d\/4 + 1971\/4 = 0.\nAnswer: -657, -3, -1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 343088397 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 10:37 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 17 = -8*l. Suppose -2*y - 10 = 3*n, 0*n - n = l. Which is the third biggest value? (a) 5 (b) -3 (c) y (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 3\/2*b**2 - 1\/20*b**5 - b**3 + 0 - 7\/12*b**4 + 19*b. Calculate q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.59 + -0.51. Let b = 3 + i. Let r be (4\/(-10))\/((-16)\/10). What is the nearest to -0.1 in 2, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(-1 + 6*(1 + sqrt(128))*4)*3)**2.\nAnswer: 45785088*sqrt(2) + 384948288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1737 + -1729. Let u = 262 + -148. Let t be u\/2 - (1 + 0). What is the highest common divisor of o and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652849?\nAnswer: 652849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64152511 - 187052511. Round b to the nearest one million.\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 8) to base 7\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 43*w**2. Let t(m) = 5*m - 3. Let a(g) = g - 1. Let u(s) = -3*a(s) + t(s). Give f(u(p)).\nAnswer: 172*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 267, -5 in descending order.\nAnswer: 267, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u**(-1\/19)*u)\/u))**24 assuming u is positive.\nAnswer: u**(24\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4070, -8139, -12208, -16277, -20346?\n\"Answer: -4069*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 262\/24 + (-1)\/(-4) and 182\/32 - (-19)\/(-19).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450648082 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14316078 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -21. Suppose 6*k = a*k + 80. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g - 6. Let v be f(-6). Let n be (63\/18)\/((-2)\/v). Let l = 59 - n. Calculate the remainder when l is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3490, -1973, -456, 1061, 2578, 4095?\n\"Answer: 1517*o - 5007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -5. Let t = z - 0.5. Sort 3, t, -2.\nAnswer: -2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -369*g - 793 wrt g?\nAnswer: -369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 6*r + 7. Let i be w(7). Let n = -3008\/16665 + -2\/1515. Put -2, n, 0.1, i in increasing order.\nAnswer: -2, n, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04334 and 27.5?\nAnswer: -1.19185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-410)\/(-40) + (-4 - 45\/(-12)) and 2622.\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (423 + 232 + 159 - 327 + (1 + 0 + 0)*(3 + 2 - 3))*(2*p**5 - 7*p**5 - p**5).\nAnswer: -2934*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -6*j - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2950394, 5901068, 8851742, 11802416, 14753090?\n\"Answer: 2950674*i - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - h**3 - 2*h**2)*(0*h - 3*h + 4*h + (-3 - 1 + 2)*(-7*h + 3*h + 0*h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5 = -k, 2*k - k - 3*p = 11. Let x(n) = -n**k + 16*n - 16*n + 0*n**2. Let l(f) be the third derivative of f**5\/12 + f**2. What is x(l(w))?\nAnswer: -25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5 + 31475*l**3 + 333834*l wrt l?\nAnswer: 40*l**3 + 188850*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 8096?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96966 = -61*w + 98979 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -40*p + 291. Let h be n(7). Let w be ((-144)\/(-18) - -3)*2\/h. Factor -d**3 + 4*d - 3\/2*d**w - 2 + 1\/2*d**4.\nAnswer: (d - 2)*(d - 1)**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**4\/24 - 11*o**3\/2 + 3*o**2 - 877*o. Let y(z) = -16*z + 3. Calculate y(b(l)).\nAnswer: -16*l + 531","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31802.\nAnswer: 2, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -691*o**2 + 2*o + 32. Let t(x) = -2073*x**2 + 6*x + 88. What is -11*l(p) + 4*t(p)?\nAnswer: -691*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50 (b) 0 (c) 2 (d) -87 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2816 and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11404, 22816, 34234, 45658, 57088?\nAnswer: 68524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35755 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.5 - -22.1. What is the second smallest value in s, 1\/4, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7741*j - 7933*j + 15667*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (730\/(-73))\/(24\/2).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15052720 = 12*n + 37*n - 5408553. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(1 + (-1)\/3). What is the third derivative of 0*k**2 + 3*k**2 + 3*k**4 - 2*k**d wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -507\/22 at least -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.71395 + 0.01395. Which is the fourth smallest value? (a) 2 (b) 2\/5 (c) 4 (d) -5\/2 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/((-3)\/3) + 0. Find the common denominator of (-21)\/20 + (-3)\/k and (-122)\/(-12)*9\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18168273 and 100934850?\nAnswer: 908413650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3cbb (base 16) to base 5.\nAnswer: 444142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 2*w - 42 + 21)*(0 - 3 - 1) as q*w + r and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 581 and 14027?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 9. Suppose 2*l - 2*s = -10, l = -i*l - 3*s - 6. Let g(z) = -243*z + 1. Let q be g(l). Round q to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 12. Let g = -272 + 274. Suppose 27 = g*d + p, y*d + 3*p - 67 = -0*d. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r + 25*r = -30*r + 152 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.273740184 to 2 decimal places.\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 14, 17, 8, 97 in ascending order.\nAnswer: -25, 8, 14, 17, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3099 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44172115, 44172097, 44172081, 44172067?\nAnswer: 44172055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 85 = -3*f, -q - 1 = 3*f - 6*f. Suppose -1 = 3*v + 2*z + 1, -3*z - q = -v. Solve -v*x - 5*k = -28, 0 = -3*x + 4*k - 2*k + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/((v*v**(2\/19))\/v))*v*v**6*v assuming v is positive.\nAnswer: v**(154\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 1\/16*i**4 + 7\/8*i**2 + 0*i + 2\/3*i**3 + 27. Solve f(n) = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64\/24*51\/2. Calculate the greatest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -z + 3 - 8, 1 = -n - 2*z. Let y = -3 + 2. Let q = 1 + y. Sort n, q, 5.\nAnswer: n, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40719 divided by 2\nAnswer: 40719\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 15*x**2 - 9*x - 90. Let h be z(-11). What is the greatest common factor of h and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*o**5\/8 + 13*o**4\/2 + 3*o**3\/2.\nAnswer: -o**3*(o - 6)*(9*o + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {b: 2, w: 3, t: 3, m: 1, u: 3, q: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 28*z**2 + 4\/5*z**5 - 55 - 20*z - 16*z**3 + 2*z**4. Suppose y(o) = 0. Calculate o.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5533.06nm?\nAnswer: 0.00553306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7359*i**2 - 3672*i**2 - 3692*i**2. Let x(q) = 2. Let z(b) = b + 10. Let l(u) = -10*x(u) + 2*z(u). What is y(l(w))?\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -511*v**3 - 82*v + 163*v + 1474*v**3 - 85*v in the form a + x*v + o*v**3 + l*v**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2852 and 2728?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (207*i + 204*i - 368*i)*(-38*i - 12*i + 9*i) as l + n*i**2 + y*i and give n.\nAnswer: -1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 933, 2\/5 in ascending order.\nAnswer: 0, 2\/5, 2, 933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (0 + -1)) + -57 + (-133 - -199).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.23 or 18.499803?\nAnswer: 18.499803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -83369.696 rounded to the nearest one hundred?\nAnswer: -83400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 10*f**2 + 4*f - 11. Let m(a) = -a**2. Suppose -4*i = -2 - 2, -b = -i. Let v(w) = b*d(w) - 3*m(w). Is v(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4*t**(-1) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Which is the second smallest value? (a) -0.1 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/116852 and -71\/4716.\nAnswer: 1051668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.819 + -0.319. Which is the second biggest value? (a) 18 (b) 5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 - -5.13. Let r = 55.4 + -48. Let k = r - 7.9. Which is the second biggest value? (a) n (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1242 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 544097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x**4 + 14*x**4 + x**4)*(-3 - 4 + 5 - 4 + 4 - 2 + (-3 - 2 + 3)*(-1 - 1 + 4) + 4 - 4 + 2)*(2*x - 6*x + 2*x)*(0 + 0 - 1).\nAnswer: -324*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-3) + 2 + 2. Suppose -5*k + 3*o = o - 1238, 0 = -p*k - 5*o + 718. Does 41 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1 - 2*h**2 + 3*h**2 - 6*h**2 - 9*h**3. Let r(f) = 3 + 4765*f**2 - 14*f**3 - 1 - 4773*f**2. Calculate 5*r(p) - 8*x(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 36 = 3*x, -2*j - 3*j + 10 = 2*x. Suppose 16*s = 13*s - 258. Let g = -66 - s. What is the greatest common divisor of x and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 8*x - 7. Let z(y) = 4*y**2 - 10*y - 6. Let j(s) = -5*d(s) + 4*z(s). Let b be j(0). Solve -4*c - b = -15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 2939b4b?\nAnswer: -2939b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21\/5 (b) 0.2 (c) -4 (d) -0.179 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-40))\/((-48)\/(-128))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -80823 less than 3\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 32, 48, 78, 128, 204?\n\"Answer: a**3 - 2*a**2 + 7*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/15 - 37498*l\/15 - 40032 = 0. Calculate l.\nAnswer: -16, 18765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.9265 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/480 and -43\/329580.\nAnswer: 2636640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20061, -41396, -62697, -83946, -105125, -126216?\n\"Answer: 3*s**3 - s**2 - 21353*s + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16508 + 16510. Let 1\/2*r**f - 3\/2*r - 2 = 0. Calculate r.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/3)\/((-80)\/(-36)). Let i = 3991\/3 - 7973\/6. Which is the nearest to m? (a) 0 (b) -1\/6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21284 divided by 1252.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/8)\/(-2*(-6)\/32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**2 + 0*q**2 - q**2)*(0 + 0 + q) + 2*q**3 - 3*q**3 + 3*q**3 + (-q**2 + 25*q**2 + 12*q**2)*(3*q - 5*q + 4*q) as u*q**3 + d*q + a*q**2 + m and give u.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -37.6. Let m be (-2)\/8*-2*0. Let u = 1 + -2. What is the nearest to m in -3, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -153 - -2?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {j: 1, e: 1, t: 5, h: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most 484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12022020 (base 3) to base 7.\nAnswer: -14163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 196*y**2. Let o(m) = -8*m. Calculate b(o(d)).\nAnswer: 12544*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 8*c + 8. Let d be n(7). What is the closest to 0 in -4\/3, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12004 (b) 0.05 (c) -9.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 36*t + 181. Calculate c(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 j when four letters picked without replacement from {j: 9, m: 9}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -2 (c) 157\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from wkklplkkkpwpllpllll.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44033306 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 9*j**3 + 6*j**2.\nAnswer: 3*j**2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 463*j - 46. Let x(u) = -461*u + 47. Let k(p) = -6*a(p) - 5*x(p). Is k(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxxk when four letters picked without replacement from kkxkxxxrxrkkkrkr.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 32773722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1449 and 10521?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*i + 100, 0*i + 3*g + 53 = i. Let p = 26 - 15. What is the highest common divisor of p and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5982 + 62577565334*z**2 + 5982 - 62577565322*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 + 1097310*o - 1097310*o + 13*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + t**3 + 0)*((-2*t + 0*t + t)*(3 + 2 - 3) + (1 + 2 - 1)*(-29*t - 40*t + 26*t)) to the form d*t**3 + q*t + g + j*t**2 + h*t**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6309 (b) -11 (c) 121 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (34\/24)\/((-10)\/(-3)) and -7 + ((-181497)\/(-5050))\/(1 - (-26)\/10)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -5, 1, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 3*h**7\/70 - 28*h**6\/15 + h**5\/20 + h**4\/8 + 19*h**3\/3 - 2*h**2 - 10*h + 492. What is the third derivative of k(g) wrt g?\nAnswer: 216*g - 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.161 - -114.161. Which is smaller: y or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9790, 9792, 9796, 9802, 9810?\n\"Answer: y**2 - y + 9790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1639 + 244. What is the common denominator of (2\/36)\/((-21)\/r) and (-123)\/(-6)*10\/20?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/8*(-1052)\/263?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = s + 21*t + 17, 4*s + 3*t = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700)*4)**2 + 5.\nAnswer: 43205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(15\/7)\/(b\/(b*b**(-18)\/b)))\/(b*b**0)**(-19) assuming b is positive.\nAnswer: b**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(o*(o**4*o)\/o)*o*o)\/o**(2\/9))**(-1\/9))**(-48) assuming o is positive.\nAnswer: o**(-32\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -248 + 67. Let m = f + 179. What is the closest to m in 3\/7, -2\/7, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 201*i - 1. Suppose -13 = 9*v + 4*v. Let a be y(v). Let k = a - -393. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1231555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6*d + 0*d**3 + 7*d + 2 - d**3 as k*d**2 + u*d**3 + c*d + h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/3))\/t)**22*t**(-3\/5)\/t**(2\/7) assuming t is positive.\nAnswer: t**(677\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -50 (b) -0.4 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*l + 1946*b**2 - b*l**2 - 2*b*l - l**2 + 6*l - 12906 wrt b?\nAnswer: 4*b*l + 3892*b - l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 44. Let r be (-453)\/i*5 - (-1)\/2. Do r and 75 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2727*q**3 - 42*q**2 - 301005?\nAnswer: 8181*q**2 - 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*s + 3. Let k be (-16)\/20*s\/(-4). Let h = -1.3 - -0.3. Do k and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t**2 + t - 2. Let m be s(2). Suppose -4*h + 16 = -8*h - m*o, o - 8 = 2*h. Let u be (1\/(-2))\/(h\/(-8)). Which is bigger: -1\/3 or u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 20 = -5*o, 4*l = -2*o - 0*o + 10. What is the second biggest value in 0, -4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 16 = -2*b. Suppose 0 = -0*z + 7*z. Let m(v) = -v**2 + 26*v + 4. Let x be m(26). Solve b*y = 4*j - 10 - 14, x*j + 3*y + 4 = z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38088612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/25 - -3 - (-4)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1049.9 - -1050. Let h = 0.25 + 0.05. What is the nearest to v in h, 1, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-2) - (-266)\/(-56))*28\/(-24)*-2.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*h = -7*h + 22, j = 5*h + 11. Let q(b) = 4*b - 21. Let t be q(j). Calculate the common denominator of -25\/3 and (-216)\/(-32) - t\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 285?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -446 - -471.6. Let z = q - 26.6. Let h be 5\/(-7)*(-27)\/15. What is the closest to z in 0.4, 3, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (46\/2)\/((-33 - -26) + 8). Suppose i = 5*i - 2*l - 278, -5*l = -3*i + 212. What is the greatest common factor of t and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = -3*s - 4, -5*p - 10 = 0. Let o(b) be the first derivative of -s*b**2 + 4 + 0 + 6*b**2. Let m(f) = -4*f**2. Determine m(o(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 16. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r - 1. Suppose -132*q - 359 = -95. Let f(g) = -10*g**2 + 2*g - 2. Determine q*f(l) + 4*m(l).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h - 6 = 0. Let b be (-1)\/(9\/(-2)) + (-4)\/18. Suppose b = -2*p + 4*p + 7*p. Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s - 65*s + 2925 = 0. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5576097 nanograms to tonnes.\nAnswer: 0.0000000000000005576097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 73 + 24 - 139. Let m(s) = 3*s**2. Give m(p(q)).\nAnswer: 3*q**2 - 252*q + 5292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1008.6393516+-17\nAnswer: 991.6393516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 834 = -5*i - 29, 0 = 5*c + 15. List the prime factors of i.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by (8\/(-130))\/(78\/(-195)) + 3104\/104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/50)\/((-2)\/15). Suppose 7 + v = 2*a. Let g(p) = 3*p**2 + 23*p + 4. Let q be g(-9). What is the greatest common factor of q and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 87 = -3*l, -3*l + 6*l + 112 = 4*g. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484284270 to the power of 1\/2, to the nearest integer?\nAnswer: 38526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*l - 4945 + 4865 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let x be (4*(-1)\/(-16))\/(-11 - -12). What is the nearest to z in 0.1, -0.3, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -5\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*(-1420)\/(-15)*1. Let j = -141 + m. Solve -3*u + j = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x**6 + 0*x**3 + 11\/210*x**7 + 0 - 13\/24*x**4 + 0*x**5 + 0*x - 50*x**2. What is the second derivative of h(r) wrt r?\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o**2 + 41*o + 8. Let c be v(6). Suppose 4*x + 4*g - 5852 = 0, x - c*x = -5*g - 1463. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64815792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335196 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -704*n + 263. Is g(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8980 and 1029112490.\nAnswer: 4490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.004 in 2, -28.3, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2006 divide 133852356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7325 times 2?\nAnswer: 14650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j**2 - 3*j - 3. Let m(q) = -q**3 - 25*q**2 - 5*q - 5. Let u(h) = 5*l(h) - 3*m(h). Find the third derivative of u(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awwa when four letters picked without replacement from {w: 7, a: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -4*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, m: 1, s: 1, n: 3}. What is prob of sequence ini?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 933 divide 979546330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 16, 2*i - 11 = q. Suppose -2*c + 0*c = -6. Suppose -n - 3*h = 1, -c*n + 3*h - 16 = -h. Put n, q, 16 in increasing order.\nAnswer: n, q, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {y: 2, l: 1, f: 2, s: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-13)\/(-442))\/((51\/6)\/17)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 5*w + 10. Let j(l) = -3*l - 7*l + 7*l - w. Determine j(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 7*w + 2. Let x be v(-5). Find the first derivative of 26*o**4 - 15*o**4 + 35 + 4*o**4 + x*o**4 wrt o.\nAnswer: 128*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + 7. Suppose k = -2*w + 2*k + x, 0 = 3*k. Suppose 0 = 3*p - 105 - w. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 33*u + 449 = -28*u, -4*g = -3*u - 441. Suppose -3*o - h = -108, -5*h + 4 = -4*o + 167. Calculate the highest common divisor of o and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, v: 4}. Give prob of picking 1 v and 1 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-40)*(-17 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*g**3 + 703*g**3 - 357*g**3.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a week in hours?\nAnswer: 3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 40. Which is the third biggest value? (a) -6 (b) q (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 8 = -h - 2*s, -15 = 5*s. Suppose 7*u = -2*c + 6*u + 35, -h*u + 88 = 5*c. Let f = 14 + -10. Solve -5*p - c = f*w - 4, -9 = 3*p + 3*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192423 and 1547.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197295 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 12*c**2 + 11*c + 3. Suppose 2*f - 56 = 5*o + f, 5*o - 3*f = -58. Let z be h(o). Solve 0 = -4*l + 2*b - 5 - 1, -2*b + 3 = -z*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 599 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 5, z: 3}. What is prob of picking 1 l and 1 m?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 1\/2 (b) -273\/4 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -u - 2*u + 12, 0 = -4*u - 4*a + 32 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6479, 12957, 19435?\n\"Answer: 6478*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g. Suppose 6*i - 3*i - 31 = -5*r, 0 = -5*i - 5*r + 45. Let j be x(i). Solve 5*o = -15, 0*m - m - 3*o - j = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*s**3 + 590*s**2 - 4516*s + 6960.\nAnswer: 2*(s - 4)*(s + 29)*(13*s - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 817 - 3*r**3 - 3*r**3 + 817.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/30 - o**3\/3 - 6*o. Let l(g) be the second derivative of r(g). Give l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5537123*w = 5537533*w - 15580 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -289047.853 to the nearest 10.\nAnswer: -289050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -22, -2, 58, -3, -4 in decreasing order.\nAnswer: 58, 0, -2, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246*k**3 - 298*k**2 wrt k.\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23216 = 376*g + 235*g - 2 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -140?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3818.\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1493902 and 0.8.\nAnswer: 1195121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9256*g**3 - 31568*g**2.\nAnswer: 55536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -43.12. Let s = 0.12 + o. What is the nearest to 2\/7 in -4, s, -3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2725 * 441\nAnswer: -1201725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c = 4*g - 152, 0 = 3*g - 5*c - 91. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*c - 22, -1 = -t + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-11) - (-1204)\/308. Suppose -4*z + z - 5 = -4*p, 2*z + i*p - 30 = 0. What is the remainder when 63 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:18 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*i**3 - 3205*i**2 - 2576*i - 516.\nAnswer: (i - 129)*(5*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 1977. Let p(r) = 23*r**2 + 16*r**2 + 10*r**2 + 9*r**2 - 60*r**2. Calculate s(p(j)).\nAnswer: -8*j**4 - 1977","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4216\/(-527))\/((-120)\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Let w be a\/((-10)\/4) + -3498. Let u be w*-2*(-150)\/3. What is u rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3891a2 (base 12) in base 4?\nAnswer: 3202213022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012190279 rounded to 5 dps?\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**7\/210 - y**6\/60 - y**5\/20 + y**4\/6 - 4*y**3\/3 - 2. Let t(c) be the third derivative of p(c). Suppose t(a) = 0. What is a?\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-28)*(-2)\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*s**2 + 217*s**2 - 97*s**2.\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 749, 1158, 1567, 1976, 2385, 2794?\n\"Answer: 409*y + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4 - 0. Suppose 25 = 4*s + 5. Sort 0, n, s in ascending order.\nAnswer: n, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 86\/10)*(-40)\/108. Let w*g**2 + 2\/3*g + 0 = 0. What is g?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-1)\/(-1)*-1. Suppose 3*z + f = -4. List the prime factors of (-10)\/z - (-2)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, j: 2, r: 1, z: 2}. Give prob of sequence az.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -15*q**4 - 3200*q**3 - 128840*q**2 + 4682240*q - 3063280 = 0.\nAnswer: -118, 2\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 13*o - 4*i + 86 = 0, 4*o = -2*i + 70. Solve -h = -z - 1, 0 = z - 4*h - o + 25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - 51*x - 4. Let k be w(17). Let a = -1 - 4. Let n(h) = -9*h - 16. Let r(j) = 8*j + 15. Let q(l) = a*r(l) + k*n(l). Differentiate q(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfaarkfnafrfnrroar. Give prob of sequence kf.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(120)\/sqrt(48))\/((sqrt(2) - (sqrt(2) + sqrt(6)\/sqrt(3)))*-5*-6))**2.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 381, 379, 377, 375?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*z + 4*z. Let y(x) = x + 20. Let i be y(0). Let c = i + -20. Solve c = -4*d + 3*d + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01354 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqgwqwwwngnqnwwg?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.76099 rounded to two dps?\nAnswer: -3.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwwdddde. Give prob of picking 1 c, 1 e, and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -20*x**3 - 2*x**2 - 3*x. Let w(t) = 40*t**3 + 4*t**2 + 6*t. Let f(v) = 7*p(v) + 4*w(v). What is the third derivative of f(m) wrt m?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 116, 258, 458, 716, 1032, 1406?\nAnswer: 1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15335 bigger than -15336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose -2*l + 6 = c. Suppose -l*x + 5 = -x. Solve -2*i = 3*h - 5, 0*i - x = 4*h + 5*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5, 16 = 4*b + 5*u - 5. Let q be -2 - b - -2 - -1. Let w be (-48)\/9 - (-3)\/9. Put w, q, 5 in descending order.\nAnswer: 5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 2:05 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 - 2665*m + 5. Let u(p) = -3*p**2 + 2666*p - 4. Determine -4*o(k) - 5*u(k).\nAnswer: -k**2 - 2670*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*g - 16 + 4, -3*p = 0. Let q(z) = -z**3 + 5*z**2 + 2*z - 12. Let v be q(5). Let u = g + v. What is the greatest common divisor of 14 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3168, 21, 47 in ascending order.\nAnswer: -3168, 5, 21, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/3 + 2235962*u\/3 + 745320 = 0 for u.\nAnswer: -1117980, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2202 (base 6) to base 2\nAnswer: 111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*r - 6363 - 2945. Calculate the remainder when r is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32268 and 6.\nAnswer: 32268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064645089 less than 628?\nAnswer: 1064645717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-6)\/(-36)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -8 - (1 + 2)) + (215 - 216)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1447019 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3326)\/(-1663))\/((1\/14)\/(4\/(-16)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x + 27*x + 189 - 97 - 79.\nAnswer: 47*x + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47646.05 kilograms to nanograms.\nAnswer: 47646050000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 0.8. Let v(d) = d**2 + 6*d - 51. Let m be v(-12). Suppose -8 = 2*j + 2*q, 3*q + m = j - q. Put 0.1, y, j in increasing order.\nAnswer: y, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-74*k - 132 + 132)*(-k + k - 2*k**3).\nAnswer: -148*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20a - 0?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 6*v + 7. Let y be u(-5). Let s = 3 + y. Suppose -2*i = -4*i - 3*q, 7 = -i - s*q. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 7357381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6.01. Let o = y - 0.01. Put o, -2, 0.5 in increasing order.\nAnswer: -2, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008913403 rounded to six dps?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 853511873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3477 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 433 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 50*m - 30. Calculate l(28).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/5*(-55)\/22. Suppose -2*d - 102 = -s*w - 20, 4*d + 209 = -5*w. What are the prime factors of (-27)\/18*d\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2901514\/3 or -967172?\nAnswer: -967172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, b: 4, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 - h**2. Let g be l(-1). Let r(a) = a**3 + 5*a**2 + 2*a - 3. Let k be r(g). Let s(v) = v**3 + v - 6 - k*v + 4*v + v**2. Give s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*r + 24, 4*r = 8*i - 3*i + 34. What is the third derivative of -4*d**r - 8*d**6 + d**2 - 35*d**2 - 6*d**6 wrt d?\nAnswer: -2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 4451801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5894 and -87\/6736?\nAnswer: 47152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569 + 10217 = 2*m - 4*b, -4*m + 5*b + 21578 = 0. Calculate the remainder when m is divided by 1799.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -197*w**2 + 7*w + 10. Let p(a) = -2*a**2 - 2. Calculate -6*p(q) - x(q).\nAnswer: 209*q**2 - 7*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -21?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 - 101111100011?\nAnswer: -110000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 4. Let t(z) be the third derivative of 23*z**5\/60 - z**4\/24 + z**2. Calculate the remainder when t(-1) is divided by q(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.41 + 0.41. Which is the nearest to 0.5? (a) k (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 + -188. Let j = -907175.99992 + 907144. Let c = j - w. What is c rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -33 in decreasing order.\nAnswer: -3, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4 = -t, l - t - 7 = 0. Suppose l*p - 115 = -2*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 5\/7 (c) 3\/10 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {e: 6, f: 3, r: 3, w: 5, v: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 10. Let w be (-9)\/(-6)*i\/3. Solve -2 - 2 = w*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -4 - ((-8)\/(-4) - 0). Suppose 15 = -t - 5*u + 1, -14 = 3*t + u. Which is the third biggest value? (a) v (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*n**3 + 75*n**2 - 3586?\nAnswer: 15*n**2 + 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65989 (base 13) in base 14?\nAnswer: 4b09b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/912 and -17\/4.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -2169*b**5\/5 - 8293*b - 222. Find the first derivative of r(j) wrt j.\nAnswer: -8676*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -k + 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(2\/(-1)))\/(81 - 80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w = 16. Let f be 14\/w*(-4)\/7. What is the units digit of (1\/(-4))\/(f\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.013, 26, 4 in decreasing order.\nAnswer: 26, 4, 0.013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2. Let b be s(1). Suppose 14 = 5*d - 11. Let f = d - b. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 0.07, -3654 in descending order.\nAnswer: 0.07, -4\/3, -3654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1790 = 22*s - 380*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -24*r**2 + 6172*r + 24017. What is g(261)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -3145989?\nAnswer: -3145990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 1.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -5. Let b = -50 + 62.2. Let d = p - b. Which is smaller: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197609 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + 14 + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4897 - 2406. Calculate the remainder when o is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 24090629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -5, -2, 2, -29, 0 in descending order.\nAnswer: 45, 2, 0, -2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 842*f**3*m**3 + 22*f**3*m**2 - 41*f**3 - 4365*f**2 + 314*f*m**3 wrt f?\nAnswer: 5052*m**3 + 132*m**2 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46207 - 46183 - 9*r**2 + 15*r + 5*r**2 to l*r**2 + m*r + u and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147*x - 50*x + 3546 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 2, a: 3, p: 3, d: 3, c: 1}. What is prob of picking 1 q and 2 a?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9771204 is divided by 530?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, a: 2}. Give prob of sequence zzza.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from cjjx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10001.8 and -33.\nAnswer: -10034.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 303655*n**2*r - 226150*n**2 with respect to r.\nAnswer: 303655*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1979 - -1984. Sort 1\/5, 2\/7, b, 19.\nAnswer: 1\/5, 2\/7, b, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*t**2 + 19*t - 20*t**2 + 14*t**2 wrt t.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 550 = z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -56. What is the remainder when 78 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*n**2 + 894*g*n + 270*g*z + 21*n**2*z wrt z.\nAnswer: 270*g + 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 39. Suppose 0 = 2*g - 5*g + 6, -5*g + 5 = -5*d. Let o(p) = -2*p**3 - p**2 + 1. Let w be o(d). Sort 0.2, w, z in increasing order.\nAnswer: w, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*k - 381*k = -5117 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*a + 8 = 0, -5*d + 10*a - 72 = -2*d. Sort -30, d, 4, 5, -7.\nAnswer: -30, -7, d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 48*w - 5180. Calculate r(105).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/83, -20976, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10148 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 6\/721, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -z - 5*l, -32*l + 30 = -10*z - 27*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 1 - 20*g**2 - 1 - 6224*g**3 + 15*g + 6229*g**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4425?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 14*i = -a - 81, -i + 5*a + 6 = 0. Let h(w) = w - 8. Calculate the remainder when i is divided by h(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -19*z + 1. What are the prime factors of l(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 10*n**2 + 7*n - 14. Let p(s) be the second derivative of -7*s**4\/12 - 5*s**3\/6 + 9*s**2\/2 + 6*s + 37. Determine 5*h(i) + 7*p(i).\nAnswer: i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4201 - 4197. Let p be (-916)\/(-4284) + 10\/(-45). Which is the smallest value? (a) w (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6290395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 827*q + 24 + 808*q - 1625*q - 2*q**2 + 23*q**2. Let c be h(-2). What is the highest common factor of c and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*5 + (16 - 18). Suppose u - 5 = -6. Put u, 2, b in descending order.\nAnswer: b, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1227.319 to the nearest integer.\nAnswer: -1227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-12) - -2)\/((-3)\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 4:21 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k**2 + k. Suppose -3714*m = -3713*m - 1. Determine p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1. Let n(s) = s**2 + 5*s + 1. Let i(k) = -2*b(k) + n(k). Let h be i(-5). Solve -3*p = -3*z - 9, h*p + 3 - 6 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-90)*-9)\/(6\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, n: 7, u: 2, t: 5, o: 4, h: 1}. What is prob of sequence thlo?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*p + 51*p - 2*m + 2, 3*p - 4*m = 18. Solve 16*w - 17*w - p = 3*d, 0 = -d - 2*w + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -14*h - 3. Let s be (60\/40)\/((-3)\/(-10)). Let a(k) = -8*k**2 + 3*k. Let i(f) = -14*f**2 + 5*f. Let z(b) = s*a(b) - 3*i(b). What is z(o(d))?\nAnswer: 392*d**2 + 168*d + 18","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 13, b: 3, u: 3}. What is prob of sequence uuxu?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 + 58*l**2 - 276*l\/5 - 1728\/5.\nAnswer: -2*(l - 144)*(l - 3)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -162\/7*t**2 - 72*t + 2\/7*t**3 + 0 = 0.\nAnswer: -3, 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2 + 5. Let b(v) = 5*v**2 - 6. Let d(s) = 3*s - 54. Let i be d(17). Let j(m) = i*b(m) - 4*h(m). Let w be 1\/2 + (-21)\/6. Calculate j(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 26408 = 3*m, 0 = -5*m - 82*z + 79*z + 44045. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017634734 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 435532500 a multiple of 3750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.32 - -1.17. Let c = 0.150001136 + u. What is c rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307214691 to the power of 1\/3, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/6640 and 67\/200?\nAnswer: 33200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.2 + -5.2. Let n = z + -20.97. What is the biggest value in 1, -5, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 3:11 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**18\/k**(-23)*k**(-30)\/(k*k**(-11\/6)) assuming k is positive.\nAnswer: k**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/5 - (-8)\/20 - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2625.9 - -0.2\nAnswer: 2626.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let h(a) = a**2 + a + 21745. Calculate h(r(c)).\nAnswer: 4*c**4 - 2*c**2 + 21745","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2513 + 2506. Let d(i) = -29*i**2 - 7*i - 7. Let q(c) = 29*c**2 + 6*c + 6. Calculate z*q(f) - 6*d(f).\nAnswer: -29*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -799 - -804. Solve 15 = -h + 3*g - 2, -d*h - 2*g - 17 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.35083 decades to months.\nAnswer: 8442.0996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r - 16*r - 53*r + 10.\nAnswer: -32*r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 6. Suppose x = -10 + 5. Calculate o(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902995949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -32\/507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**2 - 31*v**2 + 15*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3116 is divided by 88?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 46 - 17 = -2*p, -3*f - 15 = 2*p. Solve -7*l + 4*l - 4*z + 21 = 0, 20 = -2*l + p*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 5)*(3 + 0 - 1) + 3 + 1 - 6 + 1 + 4 - 4)*(-186*k + 96*k + 65*k) to the form c + u*k and give u.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u = 62*u - 2. What is the third smallest value in 0.05, 0.4, -0.4, u?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 61. Let k = 18 - 32. What is the second biggest value in k, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b**2 - 4056610*b - 901468 = 0. Calculate b.\nAnswer: -225367, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2921482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40856.5194 rounded to the nearest one hundred?\nAnswer: 40900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*y + 20*y, 25215 = 3*p - 9*y. What are the prime factors of p?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 2*b + 10, -56*f + 214*b = 211*b - 45 - 205 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 1851?\nAnswer: 38871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -5, -2378 in decreasing order.\nAnswer: -2, -3, -5, -2378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - s - 56, 4*s + 48 = 4*z + 16. Let o be (-3)\/z*6*-2. Suppose -3*t = 5*p - 297, -3*t - o*p = 2*t - 479. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5216*d**4 + 2*d + 36*d - d - 2*d**2 - 40*d - 347 wrt d?\nAnswer: 62592*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 219053 = -4*p - 219033, -5*p = l - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmappeypppm. Give prob of picking 1 a and 1 p.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*j**2 - j + 40*j**2 - 1 + j**4 + 15*j**2 + 37*j**2 to f + m*j**3 + r*j**4 + d*j + a*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**3 - 3*b**2 + 5*b + 11. Is 8 a factor of p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 1:56 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133543269?\nAnswer: 3, 4946047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 + -5.1. Let d be (-1)\/(-5) - (-8 - (-870)\/100). What is the closest to d in -4, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/40*4\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450 = 165*g - 16*g + 2232 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11245010*j*z**3 + 1033708*j + 3*z**3 + 53 wrt z.\nAnswer: 33735030*j*z**2 + 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 - 3*s + 9. Let l be f(-4). Is l*(-7 - -3)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -8. Let t = v - -19. Let y = t - 5.999998. What is y rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10866729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 >= 282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 + 13*f + 3*f**3 - 15*f as n + l*f**3 + h*f**2 + r*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.58 + -0.18. Let k = -0.6 - w. What is the third smallest value in 0, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, q: 2, n: 3, a: 1, k: 4, t: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 5 (c) -0.179 (d) 31\/3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-19)*k))\/(k\/(k\/k**(-9)))*(k\/((k\/(k*k\/k**(17\/2)))\/k))\/k**0)**(-34) assuming k is positive.\nAnswer: k**(-765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b. Let j be w(5). Calculate the highest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5230 divided by -5230.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 23*o + 2. Let x be b(23). Suppose 0*l + 8*l - 8 = 0. Solve 4*s - l = t, 2*t = t - x*s - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 21*l - 13*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20975?\nAnswer: 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 19 + (5 - (1 + 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1332 divide 281967084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493989852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*k + 2*o + 48, 2*o = 5*k - 66. Suppose -4*g = 5*a - 358, 6*g = 2*g - k. Suppose a + 32 = b. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (72\/15)\/(-4) - (-620)\/100. Let k(o) = 62*o**3 - 5*o**2 + 5*o. Let t(h) = -4959*h**3 + 399*h**2 - 399*h. Give z*t(c) + 399*k(c).\nAnswer: -57*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 55*d - 143 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6636881 kilometers to meters.\nAnswer: 663.6881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*n + 4734, 5*s = 4*n - n + 23782. Suppose 8*w - s = 7*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3443764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -393 - -827. List the prime factors of n.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (28 + -3 + -29 + -19)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928 and 1682?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**2 - 9*h**2 - 144 + 6*h**2 - 18*h**2 - 2*h**2 in the form c*h + y + b*h**2 and give y.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149\/(11 - 12)*-43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 8*j + 8. Let a be z(-16). List the prime factors of ((-10)\/25)\/(1\/a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, h: 2, g: 1, u: 2}. What is prob of sequence qu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/25)\/p)\/(p*p**(-9)\/p*p)*((p*p**(-10))\/p)\/(p\/(p\/p**10)) assuming p is positive.\nAnswer: p**(-329\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30582023 and -213.\nAnswer: -30582236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 13 = 3. Let l(n) = -n + 8. Let z be l(h). Suppose -2*s + 3 = p - 17, z*s + p = 40. Solve 5*j - 5*k = 50, -2*k - k = j + s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 4*v**3 - 8. Let d(n) = -n**2. Calculate -6*d(x) - s(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22369*h**5 + 67*h**4 - 6*h**3 - 224633*h**2 + 801*h wrt h.\nAnswer: -1342140*h**2 + 1608*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -14, -0.98, -46?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9170284 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2757 + 31857 = 0. Round x to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + z**2 + z**2 + (3*z**2 + 2 - 2)*(3 - 3 - 7))*(-1 - z**2 + 1) + 0*z**4 + 0*z**4 - 2*z**4.\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + 0 + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 7. Let v be r(-5). What is the second biggest value in 0, -1\/3, -3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -191\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6) - (-26)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 137855, 551524, 1240997, 2206268, 3447331, 4964180, 6756809?\n\"Answer: -r**3 + 137908*r**2 - 48*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 - 24*w**2 + 12*w**2 - 47*w**2.\nAnswer: -52*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13692683 is divided by 3577.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 5*p**2 - 6*p + 36.\nAnswer: -(p - 2)*(p + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*c - 2421 = 3691, -3*y + 4540 = -4*c. Calculate the smallest common multiple of y and 1016.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q + 3*a - 3, 4*q + a + 15 = 0. What is the common denominator of -13\/4 and 364\/(-8)*(q - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*b**2 + (-b**2 - 3 + 3)*(3 + 1 - 2) - 3*b**2 + 3*b**2 + b**2 - 2*b**2 + 0*b**2 - b**2 + b**2 + 2 - 2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303391028.\nAnswer: 2, 3, 47, 2310977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 0 (c) -3\/242\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*q + 5, 4*q + 0*y + 16 = -4*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40+5387.81933\nAnswer: 5427.81933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/102 + d**3\/17 - 2*d**2\/17 - 7*d. Factor u(w).\nAnswer: -2*(w - 2)*(w - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 2*x**4\/3 + x**3 + 4*x**2 - 17*x. Is 7 a factor of w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 174212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330 + 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16502)\/223*5\/(-2). Calculate the highest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ivivvlvivvlvbvbbv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 3 - 4 - 2 + 0*t. Let x be c(5). Solve -g - x*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, d: 7}. What is prob of picking 4 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2061*w = 2071*w - 17870. What are the prime factors of w?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1055*z**3 + 2*z**2 - 88*z?\nAnswer: -6330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 21*z = -50. Suppose 2*x + z = 2*o - 3, 0 = o - 5. Let r(g) = -2*g - 19. Give r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -35. Let l(x) = 3*x**3 + 7*x**2 - 7*x. Let w(z) = -3*z**3 - 6*z**2 + 6*z. Calculate d*l(v) - 7*w(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, u: 7}. Give prob of sequence ppuu.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (375\/350)\/((-18)\/(-336)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2015062, -2015052, -2015042, -2015032?\n\"Answer: 10*t - 2015072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -920*l**3*y**4 + 3*l**3 + 129*l wrt y?\nAnswer: -3680*l**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 62 = -3*y. Is 1\/40 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -62, -85, -118, -167, -238, -337, -470, -643?\n\"Answer: -z**3 + z**2 - 19*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -60.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/103, 0.2, 0.008, 15.\nAnswer: -5\/103, 0.008, 0.2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233496 and 1194804?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2)*-2 + 4. Let q = -3 + l. Let d(k) = 0 - 1 + 9*k**2 - 15*k**2. Calculate d(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (54 + -3)\/(7\/(-21)). Let k be -2*(h\/6 - 2\/2). Suppose 5*r - 92 = k. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -10*1\/(-45) - (-10281)\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1 + 2. Let w(o) = o. Let k(l) = -122 + 5*l + 42 + 41 + 41. What is b*k(m) + 2*w(m)?\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10187 + 8804. Is -1382 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let t(v) = 4119*v**2 + 1. Determine p(t(q)).\nAnswer: -8238*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*g - 458*g + 10 = r, -5*r - g + 22 = 0. Solve -4*u + 277 = -4*v + 261, -r*u = -v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.04 (b) 5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -201463 plus 3.7459072?\nAnswer: -201459.2540928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. Let i = -317 - -539. Suppose 0 = -3*a + v*r + i, 78 = a - 0*r - 2*r. What is the greatest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*m**3 - m**4 - 30*m + 19*m**2 + 84*m**3 - 178*m**3.\nAnswer: -m*(m - 3)*(m - 2)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/112)\/(104\/(-48)*1). Let y = 935\/91 + c. Let x = 18 - 9. Is x at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 10:49 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20\/73, -0.02, -0.1, -0.16?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871.4642 centuries to decades.\nAnswer: 8714.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 5758508 + 5758508.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -169673, -169704, -169795, -169976, -170277, -170728?\n\"Answer: -5*i**3 + 4*i - 169672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 0*g - 2*g**2 + 3*g - 3*g - 4*g**2 + (5*g**2 - 3*g**2 + 0*g**2)*(-1 + 1 - 1) + g**2 + 2*g**2 + 0*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3611, 12362, 26955, 47396, 73691, 105846, 143867, 187760?\n\"Answer: x**3 + 2915*x**2 - x + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -19*o**3 + 7*o**2 + 9*o - 2. Let x be n(-4). Suppose -2*u = u - x. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 2, b: 1, c: 9}. Give prob of picking 1 s and 1 b.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = u + 5*l, 0*u + 3*l - 30 = 4*u. Let g = 523 + -499.1. Let t = -24 + g. Is u not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-15 + -11 + 17 - 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/64*24\/(-21)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -347190\/11 at least as big as -31562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 308, 2, 1, -4 in decreasing order.\nAnswer: 308, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**5 + 3*g**5 + 8*g**5 + (4*g**3 - g**3 - 5*g**3)*(-g**2 + 3*g**2 - g**2) + (-2 - 1 + 1)*(g**5 - 3*g**5 + 0*g**5).\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3390 is divided by 169?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4092 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b0b2 + 1?\nAnswer: 1b0b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 641308453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225743757.\nAnswer: 7, 1093, 160207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygpvytvvttttt. What is prob of picking 1 p and 1 y?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7544358, -15088720, -22633080, -30177438, -37721794, -45266148?\n\"Answer: p**2 - 7544365*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 46 = 30. Suppose 0 = 3*h - v*o + 7*o - 12, 5*h - 20 = o. Let m(q) = -q + 2. Let d(f) = 1. Let g(w) = 6*d(w) - 2*m(w). Determine g(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7 - 10 + 26 - 8. Let b(a) = a - 6. Let j be (2 + -1)*6\/2. Suppose 0 = -3*n - 0*n + j. What is n*b(k) + 4*o(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 3*z**2 + 1926*z - 35 + 11391*z - 33 - 2*z**2.\nAnswer: z**2 + 13317*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - -248\/3. Sort 2\/11, 0.01, b in decreasing order.\nAnswer: 2\/11, 0.01, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33433421 (base 5) in base 2?\nAnswer: -1001000010010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-42)\/(-4))\/7)\/(-2). Let v = 20 + -20. Which is the nearest to v? (a) -5 (b) w (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 265.969118 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 - 12344*b**3 + 321549*b**2 - 878224*b + 569020 = 0. Calculate b.\nAnswer: -12370, 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.468 + 2.57. Which is the smallest value? (a) -3 (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614726.\nAnswer: 2, 7, 19, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwpccwmppmbwmmmpmwpp. Give prob of picking 4 w.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3501 + 1?\nAnswer: -3500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17 + 2*5\/(-10)*1. What is the third biggest value in -0.4, s, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 - 1.2. Let t = -3.1 + d. Which is the second smallest value? (a) 0.6 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34125, 68250, 102361, 136458, 170541?\n\"Answer: -7*f**2 + 34146*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 481 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97835929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -243749 (base 12) to base 8\nAnswer: -2172151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01233 in -30, -0.4, -4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 30. Suppose -2*d = -2*r + z, -2*r = -2*d + 6*d - 14. Is d\/(-6) - (-2410)\/30 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8459469 + -3?\nAnswer: -8459472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7130 by -2784.\nAnswer: -3565\/1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + m - 1. Let i(g) = 4*g**2 + 3 - 4 + 0*g**2 + g**3 - 3. Suppose 4933*t - 4934*t + 3 = -1. Give t*u(x) - i(x).\nAnswer: -x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.5. Let p = 0.07 - -0.03. Which is the second smallest value? (a) o (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*r + 30 = 2*o, 1 = -2*o - r. Does 3 divide (-11)\/22 - (-15)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from {f: 3, r: 1, l: 1, o: 3, y: 5}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9037 is divided by 1571.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 584, 1154, 1726, 2300, 2876, 3454?\nAnswer: 4034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251134 (base 7) to base 16.\nAnswer: -b3d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -942*t - 14115. Give c(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 - 7 - 20)*(1 + x - 6 - 3) to s*x + v and give v.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -2611 - -2715. What is the remainder when 256 is divided by j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 19*n**2 - 2*n - 37. What is w(9)?\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k - 2*k)*(-k**3 + 0*k**3 + 2*k**3 + 2*k**2).\nAnswer: -k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) - (-3021)\/9. Suppose -2*c + 0*c = -p. Suppose 50 = -2*x - 4*s + c, -2*x - 5*s + 114 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/33*4\/(-16)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6 - 13*u**2 - 2 - 10*u**2 + 5*u**2 - u**4 - 7*u**3 - 20*u = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11234301 (base 5) to base 6.\nAnswer: -2110151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1130 and 5.\nAnswer: -5650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 664 + -457. Which is the second biggest value? (a) -2\/7 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(9 + -11)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*h**2*l + h**2 - 2*h*l + 7*l wrt h?\nAnswer: -108*h*l + 2*h - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5966 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 390555133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, x: 3}. Give prob of picking 3 t.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/4)\/(q\/q**(-2\/13))*(q**(3\/5))**33 assuming q is positive.\nAnswer: q**(4783\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 6*z + 10. Let i be 2\/z - 3\/(-1). Sort -3, -1, i.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60866 - 60865. Let f = 142 + -208. Do f and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d*d)\/(d\/d**(-17\/3)))\/((d\/d**45)\/d*d*d**(-33)) assuming d is positive.\nAnswer: d**(211\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -10. Let m(c) = -c**3 + 5*c**2 + c - 5. Let a be m(4). Let u(s) = -19 + 43 - v - s**2 - a + 9*s. What is u(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -10. Suppose -y*d + 5 = -d. Solve 0*o + d = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - o**2 - o. Let s(w) = 2370*w**5 - 20*w**3 - 382*w**2 - 10*w. Let u(i) = -10*d(i) + s(i). Find the third derivative of u(m) wrt m.\nAnswer: 142200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 18 - 5*u + 4*u + 40.\nAnswer: -u + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 1016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 45 + 3*y - 6 + 32 + 10 - 15. Calculate r(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let p = -14 - -22. Suppose 3*i = -2 + p. Let m(k) = -i*k + 5*k - 4*k. Calculate m(b(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -19 - 17. Let n be (-174)\/(-36) - 2\/l. Let i(o) be the first derivative of -o**3\/3 + 7*o**2\/2 - 7*o + 2. Determine i(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldf when three letters picked without replacement from ldhhzzhfvfvv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**6 - g**2 - 7*g**6 + 0*g**2 wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*h**4*q + 42581*h*q**3 - 3987*q**3 + 7*q**2 - 2*q - 3 wrt h.\nAnswer: 96*h**3*q + 42581*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -4404 and -612202\/139 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 5*o - 4*o + 2*o as d*o + m and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -116324500 rounded to the nearest one million?\nAnswer: -116000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43377.74 - 43743. What is m rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*b - 4)*(3*b - 3*b - b)*(3*b + 0 - 4 - b).\nAnswer: 6*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 2, 0.3, -1, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9562.199 millennia?\nAnswer: 95621.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 4*z + 2. Let v be r(-2). Suppose -101*q + 28 = -99*q. Suppose -200 + q = -v*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -13673?\nAnswer: 13672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161*n**2 + 495*n**2 + 1942*n**2 - 1597 + 1267*n**2 + 1948*n**2 with respect to n.\nAnswer: 11626*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.3 (b) 2\/3 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 18*f + 44 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, j: 2}. Give prob of sequence jo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49545570*n**3 + 100929014*n**2 wrt n?\nAnswer: 297273420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4548400 to the nearest ten thousand.\nAnswer: -4550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 30 + 5. Let t = -3.17 - -3.17. What is the nearest to t in -0.25, 0.4, w?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -123, -186, -249, -312?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 218 + 135 + -271 + 46.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 4, x: 2}. What is prob of picking 2 w and 1 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 + 2*q**2 + 6*q + 4. Let i be x(-1). Suppose -15091 - 32697 = -i*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -63. Let u be (a + 70\/(-21))\/(1\/(-18)). Let b be (-27)\/2*(-8)\/2. Calculate the greatest common factor of u and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39053606 by -907.\nAnswer: 43058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110736356.\nAnswer: 2, 27684089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/17 in -4, -0.2, 2\/21, -0.036, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1068958*x + 5 + 2 - 5.\nAnswer: 1068958*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**5 - 179*m**4 + m**3 - 2240*m**2 + 1?\nAnswer: 180*m**2 - 4296*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3052, -14750, -34246, -61540, -96632?\n\"Answer: -3899*o**2 - o + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 + 4*p - 2. Let x be q(2). Let y = -499 - -442. Let u = y - -56.7. What is the third biggest value in u, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = -7. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5120 and 164114560?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-1 - -6))\/(-2). Let k be -2 - 3*56\/t. Let l = k + -325\/4. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (63\/6 + 2)*12\/15. Let p(g) = 6*g**3 + 6*g**2 - 5*g. Let c(s) = -s**3 - s**2 + s. Determine w*c(j) + 2*p(j).\nAnswer: 2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:16 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 8*m = 6*c - 20, 4*c = 2*m + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 263 + -259. Solve -6*n + l - 22 = -n, -k*n - 2*l = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*x + 109*k - 105*k, -12 = -2*x - 6*k for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**3 - 24*f**2 + 14116*f + 42456 = 0.\nAnswer: -61, -3, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3465 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4188416672 + 4188553757.59848. Let a = -137166.6 + g. Let t = a - -81. Round t to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 407808607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9306 and 1692.\nAnswer: 18612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/(-60)*20\/2. What is the nearest to -0.1 in 1, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(11))*-2 + 5 + (sqrt(11) - sqrt(275)))*-6)**2.\nAnswer: -1296*sqrt(11) + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 413*r**3*z**4 + 33738*r**3*z**3 - 2*r**3 - 1308*r**2*z - 730 wrt z.\nAnswer: 4956*r**3*z**2 + 202428*r**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 - 22. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) 1.9 (b) -0.4 (c) 1\/100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 9. Let x be j(-9). Suppose x = -4*g + 29 + 7. Let d be 3 + 2*g\/(-6). Put 0.2, d, -2 in decreasing order.\nAnswer: 0.2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 7*o + 6. Let i be c(-4). Let n = i - -11. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -138229\/3? (a) 28 (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2475 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.123 - 1.1236685. What is m rounded to 5 decimal places?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1 - -3)\/(-2). Let b = -7.1 - -4.1. What is the nearest to 0.1 in b, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1272 and 72984?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**2 - 61*m + 5. Let j(q) = 10*q**2 + 62*q - 5. Determine 3*g(z) + 2*j(z).\nAnswer: -4*z**2 - 59*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 < -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220920585 + m - 3*m - 220920523.\nAnswer: -2*m + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 8 - 1 - 6 + j - 11 as h*j + q*j**3 + n*j**2 + v and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -430605 less than -4.0996?\nAnswer: 430600.9004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 422.711 + -423. Round v to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = m - 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(180) + 0)*2)**2 - (sqrt(40)\/(sqrt(2)*2))\/(sqrt(8)\/sqrt(2)*-5).\nAnswer: sqrt(5)\/10 + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0 - (17 + -23 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 243 = -101*b. Solve -4*q = -2*z + 22, 2*q + 2*z + b*z - 14 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13413576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*78 - 0 - 1. Let s = u + -51. Let d(o) = 10*o**2 - o. Calculate the remainder when s is divided by d(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35 and -3957590.\nAnswer: -3957555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 6*x**2 - 10*x - 3. Let p be q(-7). Suppose 0 = -v + 5 + p. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l - 1. Let n = 23 - 24. What is the remainder when 24 is divided by m(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108)\/(-32) - (3 + (-15)\/10). Sort -3, l, 0.2 in ascending order.\nAnswer: -3, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {f: 1, g: 10, u: 4, a: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2047 (base 11) in base 13?\nAnswer: -1309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgg when three letters picked without replacement from {c: 11, g: 3, j: 3, f: 3}?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3 + 76*l**2 + 528*l = 0. Calculate l.\nAnswer: -6, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -0.8, 0, 6.3, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + (2 - 1) + -3. Suppose 5*a - i*a - 4 = 0. Which is bigger: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 23*g = 4*u + 4, -2*g - 8 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*-4 - 4. Let z(q) = -8*q - q - 2 - 4*q**2 + 3*q**2. What is the remainder when 30 is divided by z(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a98c3 (base 16) to base 6\nAnswer: 135500055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 29. Let p = -99 - -104. Let b be r(p). Solve -b + 2 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57 and -15152.\nAnswer: 863664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 2526803 + 53*l**3 + 2526803.\nAnswer: 53*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**4*y**2 - 14*a**4*y - a**3*y**2 + 5*a**2 + 6*a*y**2 - 6*y**2 wrt a?\nAnswer: 96*a*y**2 - 336*a*y - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79845470*i - 4290 = 79845525*i for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6201328 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 8 = -2*r, -4*r + 24 = -8*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f\/(f**(-1\/3)*f))**(-6\/29))**(6\/5))**(-15))**(-2) assuming f is positive.\nAnswer: f**(-504\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3071198 and 494.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7849, 7936, 8025, 8116?\n\"Answer: f**2 + 84*f + 7764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1493042, 1493018, 1492980, 1492922, 1492838, 1492722, 1492568, 1492370?\n\"Answer: -d**3 - d**2 - 14*d + 1493058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16 - 11 - (-28)\/(-12))\/2. Let l(v) be the first derivative of -22 + 0*v - 5\/2*v**2 + o*v**3. What is the second derivative of l(z) wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 251?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = 2*q, 3*o = -3*q + 8*q + 19. Solve 0 = -2*w - 3*s - 13, 4*w + o*s + 9 + 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76073677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t + 16. Let i be r(-5). Let w be (36\/(-48))\/(i\/(-16)). Which is the smallest value? (a) 0 (b) -4 (c) -1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let n = -746 - -748. Let h = n + w. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 - 33. Let l = s - 27. Let n = -3\/4 - -1\/4. Which is the smallest value? (a) l (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -107*o**2 + 11*o + 9. Calculate h(-1).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1, 474, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2481*v**4 + 8*v**2 - 8*v + 177. Let n(a) = a**4 - a**2 + 2*a + 1. Let m(t) = c(t) + 4*n(t). Find the third derivative of m(g) wrt g.\nAnswer: -59448*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 9 = 2*z - 3*l, -35*z - 4*l - 583 = 0 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooododoo. Give prob of picking 2 o.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -36*p + 46. What is b(5)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/18 and 67\/1781676.\nAnswer: 1781676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -10*p**7\/21 - 34*p**6\/15 - 11*p**5\/5 + 13*p**4\/3 + 32*p**3\/3 + 8*p**2 - 18*p. Determine x so that q(x) = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 153168783*z**2 - 306337557*z - 153168777.\nAnswer: -3*(z + 1)**2*(z + 51056259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3 - 3 + 4*x**2.\nAnswer: 4*x**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 22*j + 47. Let w be u(8). Let a be 3 + (w*2)\/(80\/104). What is y in -a*y - 3\/5 + 1\/5*y**2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h - 6. Let i(b) = -b - 1. Let g(d) = c(d) - 6*i(d). Let p(y) = -3*y**2. Give p(g(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 30*b. Let n(h) = -h**2 + 5*h - 5. Suppose -2*a + 5*x + 21 = 0, 4 + 0 = 3*a - 2*x. Let k(v) = -v + 1. Let r(l) = a*n(l) - 10*k(l). Calculate r(j(p)).\nAnswer: 1800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840516.\nAnswer: 2, 3, 89, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + b**2 - 10 - 29.\nAnswer: -b**2 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 3*o)*(6*o + 2*o - 4*o)*(-4 + 4 + 6).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = -5*p + 6*a + 133, -3*p + 5*a = -102. Suppose -34*h = -73 - p. Factor 0 + o**5 - 2*o**2 + 1\/3*o + 4*o**h - 10\/3*o**4.\nAnswer: o*(o - 1)**3*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*m + 90, -3*m - 21 - 42 = -3*r. Let p = r + -22. Suppose -b = p, -j - 5*b + 42 = -18. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.234382 - 138.234384. Let h = 164 + -256. Let q = h - p. Round q to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 3*i - 3*i)*(-4*i + 2*i + 4*i) + 19*i**2 - 5*i + 5*i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 3*b + 3. Let o(c) = -c**2 + c + 1. Let a(q) = -i(q) + 3*o(q). Let y(w) = -26*w**2 + 83*w**2 - 32*w**2 - 17*w**2. What is y(a(k))?\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -71, -3, -5032.\nAnswer: -5032, -71, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3054246*-1\nAnswer: 0.3054246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135*j**2*t**3 + 2*j**2*t + 11*j**2 - j*t wrt t?\nAnswer: 810*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -93.75 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100151001 (base 6) in base 15?\nAnswer: -236e44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/5, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62163*r + 62184*r + 441 = 0 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -55. Let t = 0.1405 + 0.2595. Put -2\/7, -0.5, x, t in descending order.\nAnswer: t, -2\/7, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185 + 25. Suppose -5*l = 230 - c. Let i(p) = 2*p + 5. Determine i(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 7:55 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -3, -5, 3 in descending order.\nAnswer: 3, -1, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 589084506*t**5 + 157089139*t?\nAnswer: 11781690120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -659*q**2 + 182*q - 1 wrt q?\nAnswer: -1318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416458690 to the power of 1\/2, to the nearest integer?\nAnswer: 20407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 124 = -1. Let y be (-14)\/(-21) + 149\/6. Let p = z + y. Which is the third biggest value? (a) 2\/19 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + o + 272 = 4*h, 0 = 5*h - 2*o - 340. Suppose 36 = 4*j - 5*i, 2*j + 24 = 6*j - 2*i. Suppose 0 = -6*c + j*c + h. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**(-3)\/f*f)\/f)\/(f**(-1)\/f))\/((f*f*f**4*f)\/f*f**(-7)))**(18\/7))**(-6\/17) assuming f is positive.\nAnswer: f**(108\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3426*m**2 + 60*m + 257. Is z(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1 - 3 + 12*j**2 + 3 - 2*j. Calculate the remainder when 23 is divided by x(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 8. Let c be s(-8). Suppose c = 3*q - 44 + 2. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1111203220 + -212?\nAnswer: -1111203432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1281453*x + 3517186 - 3517186 - 1281433*x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 15298254*h - 476. Let l be d(-6). What is l rounded to the nearest one million?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 310771 or 310766?\nAnswer: 310766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(12) + -1.\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**2)**(33\/7)\/(h**(-1\/3))**(-48))\/((h**11\/h)\/(h\/(h**(-1\/11)*h)))**(-4\/19) assuming h is positive.\nAnswer: h**(335\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408426445.\nAnswer: 5, 137, 313, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - (-5 + 15) - 38400000\/(-1). Round g to the nearest 1000000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 4620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -b - 1. Let x = b - 23. Solve 0 = 3*j + 2*j - x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.29 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, p: 2, t: 4}. What is prob of picking 2 m and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-4) - 1) + 4579\/38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 40*l**2 + l - 1. Let u be o(2). Let j = 162 + -139. What is the greatest common factor of u and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afd when three letters picked without replacement from {d: 1, a: 2, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11146, 4 in decreasing order.\nAnswer: 4, -5, -11146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 34095360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 - w**3 + w**2 + 5*w - 2. Let g be i(-4). Let y = g - -12. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 - 3*p**2 + 2*p + 1. Determine s(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 4*3\/(-2). Suppose z = -57*h + 58*h - 20. What is the remainder when 97 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1455.03 and -616.\nAnswer: 896298.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5) + 150\/(-250). Let b(x) = x**3. Determine b(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.0185 + 14. What is x rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 8. Let i be z(6). Let f be (4 + 8)\/4 + 1. Solve i*b - f - 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 8*j + 7. Let z be v(-5). Let f = 17 + z. Let k = f - 6. What is the smallest common multiple of 4 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/24 + 2*h**3 - 20*h**2 + 462*h. Factor q(i).\nAnswer: -(i - 20)*(i - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38054, -38067, -38096, -38147, -38226, -38339, -38492, -38691?\nAnswer: -38942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5139142963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -838\/89 or -10?\nAnswer: -838\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 352280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 638 - 634. What is the greatest common divisor of 362 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 31*v**7\/105 + 13*v**5\/60 - 3*v**2 - 18. Find the third derivative of o(p) wrt p.\nAnswer: 1488*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.8431 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -11. Sort -2\/21, p, 2 in ascending order.\nAnswer: p, -2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 8*y - 4*y + 3*c, -c = -4*y + 1. Let z be 2 + (2 - y - 0). Factor f**z - 19*f**3 - 4*f + 7*f**3 - 4*f**4 - 15*f**2 - 2*f.\nAnswer: -3*f*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 344 + -338. Which is the closest to j? (a) -0.4 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.087068?\nAnswer: -0.043534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-6)*24\/9. Suppose n - 3 = 5*k - 24, -b*n - 8 = -k. Suppose -4*v + 6*v - k*p - 48 = 0, -5*v + 68 = 3*p. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((3\/(-14))\/1)\/(165\/110))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 51547*r + 2164979. Calculate i(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**2\/2 + 2*y + 4. Does 8 divide b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890380 = j + 3*q, 5*j - q + 6985999 = 2534099. Round j to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12271 - -12267. Let q(g) = -g**3 + 5*g**2 + 8*g - 9. Let t be q(6). Put t, -6, 2, d in decreasing order.\nAnswer: t, 2, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2152 - -2234. Does 38 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/10 + 1)\/(34468\/(-980) + 35)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696.8 - -0.075387?\nAnswer: -696.724613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, -314, 1\/5, 0.37 in decreasing order.\nAnswer: 5, 0.37, 1\/5, 0, -3, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 1023454?\nAnswer: 1023457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (24 + -25 + 24).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (440\/(-33) + 14)\/((-1)\/(-3)). Solve -r*h = h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 + 17*p - 8. Let d(v) = -2*v**2 - 6*v + 3. Let j(k) = -7*d(k) - 2*f(k). Let s(c) = -3*c**2 - 7*c + 4. What is -6*j(z) - 7*s(z)?\nAnswer: -3*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-13))\/((4\/(-552)*6)\/((-13)\/299)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/(-4))\/3)\/((-9)\/(-6))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/((-50)\/4))\/(1\/25). Solve -13 + 93 = y*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 26 - 26 + 0 + 4 - 2 - 4 + 5 + 0 - 1 - 2 + 1 + (3 + 2 - 4)*(1 - 6 + 4) - 3 - 2 + 3 - 1 - 5 + 4 + 0 + 0 - 2 - 1 - 3 + 6)*(0 + 0 + 2*g**3).\nAnswer: -116*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {u: 3, d: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -4*v + j, -5*v + 10*v = -j + 100. Let r be (-1)\/(-4) + v\/12. Let k be -1 + ((-16)\/(-14))\/2. Which is the closest to 1? (a) r (b) k (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -217023, -217011, -216985, -216939, -216867, -216763?\n\"Answer: h**3 + h**2 + 2*h - 217027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10296*s**2 + s**6 - 13*s + 11856*s**5 + 123*s - 4419*s**5 - 110*s wrt s.\nAnswer: 120*s**3 + 446220*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -70*l - 2. Is 26 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*z + 3*r + 240, 0 = -3*z - 4*r + 211. Let p = z + -58. Solve 5*y + 13 = -p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154707349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 31, -4, -0.07 in decreasing order.\nAnswer: 31, -0.07, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/43 + -39\/86. Suppose -10*u + 3*y + 51 = -14*u, 0 = -3*u - 3*y - 42. What is the closest to -1\/2 in u, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 13*r - 25. Let w be p(-6). Is 15 a factor of 1 - 5 - -3 - w*-46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 + 4*b + 7*b**2 - 6*b**2)*(-6*b + b + 3*b) as z*b**3 + f*b + q*b**2 + m and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**4\/11 + 1214*u**3\/11 - 8346*u**2 - 4256*u + 46208\/11 = 0.\nAnswer: -1, 1\/2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237245632?\nAnswer: 2, 3, 463, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.209 + -1.009. Let s = 0.4 + k. Let o = 1.1 - 0.1. What is the closest to -0.1 in s, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71826, -79, 2, 4.\nAnswer: -71826, -79, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -0.0764217?\nAnswer: -2.9235783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-25)*1*80\/(-96)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -53113?\nAnswer: -53113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14217367 is divided by 2031051?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 9}. What is prob of picking 2 f and 2 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1594, -1596, -1598, -1600?\nAnswer: -1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10725865 to the power of 1\/2, to the nearest integer?\nAnswer: 3275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10080016*u**2 + 9071525*u.\nAnswer: 20160032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 1550?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.3, -12, 9, 311, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 46. Let q be b(-14). Let r be (18\/16 - 3)\/(q\/24). Which is greater: -1\/6 or r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 38. Let m be (-1)\/(3 + (-3 - -3)). Let v = 0.3 - 5.3. What is the closest to m in v, u, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i**(-9)*i))\/i)\/i*i)**(-8)*(i*i*i**(-2\/25)*i)\/(i**25\/i*i) assuming i is positive.\nAnswer: i**(-2352\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 2099.\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53806?\nAnswer: 2, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (42 - 28 - 13) - (-12 - 37).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.96 + 1.96. What is the nearest to v in 2\/7, 3, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*i = 434*i - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73139 + 21608. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:54 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -44. Let s = p + 21. List the prime factors of s*-2*45\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/240 - q**5\/60 + 2*q**4\/3 - 24*q**2. Let i(v) be the second derivative of x(v). What is i(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 2. Let r be c(3). Suppose -3*d + 2*d - t = -7, -r*t - 1 = -4*d. Suppose -2*a**3 - 2*a**d + 2*a**2 - 2*a**2 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/24850 and 67\/50?\nAnswer: 24850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 159*k + 21. List the prime factors of o(9).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4541015875 - -4541015872.1240863304. Let s = h - 0.0240853404. Let i = s - -2.9. Round i to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6685130 rounded to the nearest 100000?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 - 11 = 0, -x + 100 = 3*y. Suppose 0 = 82*d - x*d + 816. Calculate the lowest common multiple of 36 and d.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 14. Let n(v) = -5*v**3 - 12*v**2 + 5*v. Let z(g) = 5*g**3 + 11*g**2 - 4*g. Let h(p) = u*n(p) - 5*z(p). What is the third derivative of h(f) wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-28))\/(4\/(-14)). Suppose -2*p = 2*w - 214, -4*w + s*p + 326 = -w. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-1 - 3 + 2)*(11 - 27*o - 11)*((4 - 2 + 0)*(3 - 1 - 4) - 1 + 0 + 0).\nAnswer: -270*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 3. Let g be t(-2). Factor 7*p**3 + 5*p**g - 10*p**3 + 2*p**2.\nAnswer: 2*p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 10:34 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17895\/1708 + 23\/244. Let u be 3 + (0 - -1)\/(3\/291). Suppose 10*o = -0*o + u. Do o and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -2, 5, 21 in ascending order.\nAnswer: -2, -1, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/32)\/(((-3)\/(-5))\/((-264)\/(-165)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 0*n**2 + 14*n**2)*(4 + 1 - 7)*(n - 5*n + 5*n).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7989171067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eidieiidzd. What is prob of sequence iz?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = 5*m, -27*m - 3*j + 3 = -24*m. Let i(r) = -r**2 - 1 - 14*r + 14*r + 2*r**m. Give i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/11)*m\/(m*m**(2\/13)*m) assuming m is positive.\nAnswer: m**(-152\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 - 56*m + 24. Let x be j(11). What is the highest common factor of 52 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -1. Let y = -3 - f. Sort 3\/5, 2\/5, y in descending order.\nAnswer: 3\/5, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/30*-2*(-20)\/16. Factor q*d**3 + 5\/2*d**2 + 0 - d.\nAnswer: d*(d + 2)*(3*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12993207509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20460413 and -380794?\nAnswer: 20079619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*p**2 + 18 - 18)*(-14*p + 5*p + 10*p - 11)*(p + 5*p - 4*p + 3*p + 3*p - 3*p + (p + 0 + 0)*(-5 - 2 + 5)).\nAnswer: -60*p**4 + 660*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -4, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 4) to base 11\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -1304, -2766, -4814, -7448?\nAnswer: -10668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.03, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 2\/5, -0.3, 3.5, 0.5 in descending order.\nAnswer: 3.5, 0.5, 2\/5, 0.11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 74 = 4*k - 4*q, -4*k = -q - 66. Let h be (-5)\/(-20) + (-228)\/k. Is 7\/(h\/(-156)) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1200) + (sqrt(1200) + ((sqrt(1200) + 0)*-6 - sqrt(1200)))**2.\nAnswer: 20*sqrt(3) + 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v - 13*v + 7*v + (-4 + 3 + 2)*(-61*v - 30*v + 6*v).\nAnswer: -100*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 937 in 4\/11, -3, 1\/23, -0.3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s*s*s*(s*s\/(s\/s**19))\/s*s*s*s)\/s)\/s)**(7\/3) assuming s is positive.\nAnswer: s**(175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2572.81404 rounded to the nearest 10?\nAnswer: -2570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -50, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/15 - (-6 - -1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/35 - ((-92)\/20 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/2, 0, 3\/11, -2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let z(n) = 54*n**2 - 16. Let s(y) = 18*y**2 - 6. Let i(x) = -8*s(x) + 3*z(x). Determine i(l(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/18)\/((-2)\/(-6)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -68. Let g = -9 - -12. Which is the closest to g? (a) -0.3 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -243 - -730. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/60 - 7*t**4\/24 - t**3\/3 + 8*t**2. Let o = -17 - -11. What are the prime factors of k(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -84, -128, -172, -216?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 - 2*b**3 - 4 - 1 + 0*b**3. Let q(y) = 2*y**3 - 9. Give -3*q(k) + 5*x(k).\nAnswer: -k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54577028.\nAnswer: 2, 11, 1240387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 5*k + 24. Let c be s(-8). Suppose c*d + 3*d + 264 = 3*o, 0 = -4*o + 5*d + 353. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3375 + -3374.9999928. Round o to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 16165*x + 16160.\nAnswer: 5*(x - 3232)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b**3 - 11*b**3 - b**2 + b**3 to the form h*b**3 + n*b + v + f*b**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59, 148, 257, 398, 583, 824, 1133, 1522?\n\"Answer: 2*y**3 - 2*y**2 + 81*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2126637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 + -99. Which is the third biggest value? (a) -0.14 (b) x (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1803*z**2 - 3*z - 1802*z**2 + 8994*z**2 - 1794*z**2 - 1800*z**2 - 58 - 1793*z**2.\nAnswer: 2*z**2 - 3*z - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**3 + 26*x**2 - 26*x**2)*(-3 + 0 + 1) - x**3 + 4*x**3 - 5*x**3 + 3*x**2 to the form j*x + l*x**3 + y*x**2 + b and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657305 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8982584713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/((-6)\/9). Let s = -4 + 7. Suppose -2*u + 5 = s*u. Which is bigger: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 7*t - 2*t. Let j(s) be the first derivative of 5*s**3\/3 - 6*s + 2. Let g(r) = -9*r**2 + 11. Let w(o) = -6*g(o) - 11*j(o). What is h(w(m))?\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 + -180. Suppose 3*g - r = 4*h + 5, 25 = -5*h. Sort -2, g, 4 in descending order.\nAnswer: 4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 4.03960146168\nAnswer: 22.96039853832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/(-69)*118\/(-260) + -2 + 11\/6?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 21025*u**5 - 9564635*u**4 + 55954811*u**3 - 42521245*u**2 - 3809136*u - 80820 = 0.\nAnswer: -6\/145, 1, 5, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2)*6\/(-15). Let f = -856\/7 - -122. What is the biggest value in f, u, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*y - 14294 = -5*y, 2*v = -2*y + 28576. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3391*m - 184540 - 49198 - 10414 = 0 for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z + 96 - 60 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l. Let v be x(-7). Suppose 52 = 5*m - 2*w, -v = -4*m - 2*w - 0*w. Calculate the greatest common divisor of 156 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 300.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 5*w**2 - 5*w + 5. Let z(i) = -5*i**3 - 6*i**2 + 6*i - 6. Let c(x) = 6*m(x) + 5*z(x). Let d(f) = 15*f**3. What is -33*c(l) - 2*d(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49178, -98359, -147540?\nAnswer: -196721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 0.5.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Suppose -335 = -2*q - r*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 10 = 3*s - 5*i, -5*i = -5*s + 30 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -102053*s + 2449277. Calculate i(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f + 3*f)*(-f**2 - 3*f**2 + 3*f**2) + (1 + 2 - 6)*(-3*f**3 - 2*f**3 + 3*f**3).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*10042715\nAnswer: 10042715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*f + l, -3*f + 48 = 2*f - 3*l. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2361 - 502. List the prime factors of p.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 177 + 143. Suppose -4*z = -8, 0*v - v + 4*z = -x. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 98*c**2 - 34*c - 196. List the prime factors of p(-9).\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/10007?\nAnswer: -3\/10007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*u + 14230*u = 353*u - 573846 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + sqrt(384) + sqrt(384) + (sqrt(384) - (sqrt(384)*-4 - sqrt(384))*-4 - sqrt(384)) + sqrt(384))*-3)\/(4*sqrt(512)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**4 + z**2 - z - 1. Let l(r) = 2*r**4 - 5*r**3 - 43*r**2 - 75*r - 39. Let u(x) = 3*j(x) + 3*l(x). Factor u(s).\nAnswer: 3*(s - 10)*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 1512873?\nAnswer: 1512875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -21222?\nAnswer: -22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-4 + (1 - (0 + -2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 5)*((-1 + 1 + p)*(-1 + 2 - 2) + 35 - 35 + 33*p - 2*p + 3*p + p).\nAnswer: 204*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/4248 and -13\/4248?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10392386*c + 5196164*c + 5196268*c.\nAnswer: 46*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224779657 take away 7902?\nAnswer: -1224787559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9215399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119\/2 + 61. Let k(h) be the first derivative of -h - 5\/8*h**4 - 7\/4*h**2 - d*h**3 - 1\/10*h**5 - 3. Factor k(p).\nAnswer: -(p + 1)**3*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + 112012?\nAnswer: 111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 11770672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 284.067 and 0.035.\nAnswer: 284.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(14\/3)\/d*d*d*d\/(d\/d**(-12)) assuming d is positive.\nAnswer: d**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m**2 - 1851*m + 5140. Determine l(-234).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*d + 4*i, -7*i + 3*i - 4 = -3*d. Suppose 22 = a + d*a + 3*r, 2*a = r. What is the remainder when (-15)\/5 + a + 80 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-245)\/(-10))*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 674\/7 - 96. Let l = 53.4 - 49. Let q = 0.6 + l. What is the second smallest value in q, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 324313014?\nAnswer: 324313104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/48 and (19\/(-5) - -4)\/(16\/(-230))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.37 + 0.77. Let o = -0.9 - -2.6. Let r = 3.7 - o. Which is the nearest to r? (a) -3\/4 (b) -4\/11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12194299*x**3 + 76*x**2 - 8*x - 638 wrt x.\nAnswer: 73165794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j*j**(1\/2))\/((j*j**(-2\/3))\/(j**5\/j)) assuming j is positive.\nAnswer: j**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*a**5 - 2*a**4 - 290*a.\nAnswer: 1620*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrcrrrrgtu. Give prob of sequence mgru.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -714 (base 16) to base 11.\nAnswer: -13a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n - 3*a = 34*n - 23, -3*n - 20 = -5*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 59, 62, 65, 68?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 451693412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t*t*t**(-10)*t)\/(t\/(t\/(t**(14\/9)*t))*t**(-17)*t) assuming t is positive.\nAnswer: t**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3195 - 3192. Let 0 - h*j + 5*j**2 - 3\/4*j**3 = 0. What is j?\nAnswer: 0, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2944 - 34 - 1915 + 6413 + 5465)*(b**2 + 4*b - 4*b) as c*b + f + r*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/(-1))*(-31)\/31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 4. Let b be o(4). Calculate the remainder when 36 is divided by b\/(-2) + 3 + 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6 + u - 4 + 1 + 3. Let x be o(-3). Which is bigger: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -4*d + 131290 - 131313, -5*b + 2*d + 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 229452593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 6*j + 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1000 and 1638500?\nAnswer: 3277000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*m = m + 61, 2*w + 70 = -2*m. Let c = 67 + w. Solve -5*d = -k + 5*k - 33, 2*k + 5*d - c = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/253 or 0?\nAnswer: 20\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(3\/13)*a**21*a*a**(-7\/5)\/a*a**11)**(1\/15) assuming a is positive.\nAnswer: a**(2104\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ozjzbybooboy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8400)\/(-39))\/4 + 100\/(-26) + 4. Solve 0 = -60*h + 66 + r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/24 and 43\/426?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from xppxpx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 93.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {t: 3, i: 1, v: 2, z: 1, m: 1, l: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-22) - 159\/(-33). Suppose -2*x + 3 = -k - 4*k, 2*k + 6 = 2*x. Let f = 3 + k. Solve -d*h + 0*r + 6 = 4*r, f*h - 2*r = 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {b: 12, e: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/10*(-32)\/140?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -853741 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*d + 0*d - 4*d)*(3*d + 8*d - 2*d)*(-7*d**2 - 2*d**2 + 16*d**2) as g*d + i*d**3 + a*d**2 + j + u*d**4 and give u.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*h**3 - 85*h**3 + 55*h**3 + 222*h**3.\nAnswer: 300*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87322.83 litres to millilitres.\nAnswer: 87322830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -35. Let y(c) = -4 + 4 - 3*c**n + 12*c**2. Let r(l) = -l. Let f(d) = 3*d. Let t(a) = 2*f(a) + 5*r(a). Determine y(t(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 29. Let v = 6 + -8. Let g be (2\/6)\/(5\/30). What is the second biggest value in t, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*j + 2. Let v(s) = s**3 + 3*s**2 - 1. Let f be v(-2). Let m be (6\/9)\/(j\/f). Sort -3, -2, m in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 535*c**3 - 2*c**2 - 3*c - 41268?\nAnswer: 1605*c**2 - 4*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/6)\/((-21)\/12). Let o = -1 + 1. Factor -2\/7*k**2 + o - x*k**3 + 0*k.\nAnswer: -2*k**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - 6. Let f(q) = 24*q + 1. Let c(n) = 2842*n + 116. Let u(g) = c(g) - 116*f(g). What is u(x(j))?\nAnswer: -232*j - 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424328?\nAnswer: 2, 29, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1834 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416 and 296712.\nAnswer: 1186848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38\/21 + -148\/105. Which is bigger: d or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107714139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 5*v**2. Let d be c(-5). Suppose 56 = 4*h - d*h. What is the lowest common multiple of 132\/9 - (-2)\/(-3) and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.072728 + 0.072728. Let x = -125\/96 - 1\/32. Is b >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, d: 6, k: 3, t: 2}. Give prob of picking 2 d and 1 k.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.5. Let s = f + 0.4. Let d = -0.5 - s. What is the smallest value in 2\/13, -2\/21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2967 - 1631 = 0. Suppose 16*g - t = 5*g. Suppose -2*b + x = -847 - g, 2*b - 1253 = -3*x. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69694019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.1, 176, 59 in decreasing order.\nAnswer: 176, 59, -16.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 551361570 + 0.4.\nAnswer: 551361570.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53983 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 930289300 rounded to the nearest one hundred thousand?\nAnswer: 930300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d - 2*v + 53, 0 = 2*d - 3*v - 78. Let t = -33 + d. Solve -2*u + t = -2*w, -3*u + 0*u = -4*w - 23 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 12. Let z be ((-84)\/(-7))\/((-2)\/u). Let g be 2\/3*z\/(-28). Solve -c - 5*d + 21 = 0, c + 4 - g = d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22112201 (base 3) to base 11\nAnswer: 4753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-4) - -1) + 20*12\/15. Solve -17*y - 21 = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.057649961 or -7?\nAnswer: -0.057649961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 11*g + 26. Is i(13) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.7 - -6.72. Which is the second biggest value? (a) x (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 + 70 + 222*n to x + g*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjj when three letters picked without replacement from sclxltllxxlljjllcll?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 + 24*o - 6. Let i(h) = -12*h**2 - 76*h + 19. Let x(y) = 19*b(y) + 6*i(y). Let g(k) = -2*k - 142. Give g(x(s)).\nAnswer: -8*s**2 - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-126)\/(-62) - 2). Let a(i) = 0*i**3 - i**3 - r*i**2 + 16*i + 23*i**2 - 12 - 1. What is the units digit of a(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/50 and -41\/76050?\nAnswer: 76050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 + 597 + 551 = 90*z + 152*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 667, 948, 1229, 1510?\n\"Answer: 281*o + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 0.034 (c) -741502\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89\/92 + -5\/23. Sort b, 2, 1.\nAnswer: b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 83.4089l?\nAnswer: 83408.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 19*k**2 + 39*k. Let d(v) = 6*v**2 + 12*v. Let b(g) = 13*d(g) - 4*q(g). Let t(m) be the third derivative of -35*m**4\/2 - 27*m**2. Determine b(t(i)).\nAnswer: 352800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -2) + (-300)\/(-82). Let o = d - -1\/123. Let f = -0.9 + 1. What is the closest to f in o, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.264779 rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16248\/20 + (-3)\/((-15)\/(-2)). Let b = 1253 - q. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143409 is divided by 608.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145*w*y**2 - 38957*w*y + 38*y**2 wrt y.\nAnswer: -290*w + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n. Let i(z) be the second derivative of 2*z**3\/3 - 5*z. Give i(j(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*s**2 + 89*s**2 + 6*s**3 + 0*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 3)\/1*(3 - 2). Suppose -q + 2292 = -s - r*s, 2289 = q - 4*s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -897.\nAnswer: -4\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/4 of a litre in millilitres?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 1. Let i be p(-1). Let x be (0 - 0) + i - -2. Suppose -1880 = x*a - 0*a. Round a to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 59?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16063838?\nAnswer: 2, 7, 1147417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157854 divided by -1003.\nAnswer: -157854\/1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 7. Let g be 28\/21 - (-38)\/3. Let v be f(g). Let o = 35 - v. What is the remainder when 67 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r - 25. Suppose 5*v - 28 = v. Let s(t) = t**3 - 9*t**2 + 17*t - 17. Let z be s(v). Let w be q(z). Solve -w*d - 7 = 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 29808*w - 1. Let f(x) = x. Give f(k(h)).\nAnswer: 29808*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -85*w - 12. Let u(m) = 8*m + 1. Let a(p) = -i(p) - 10*u(p). Suppose -6*y + 90 = -y. Let h = -12 + y. Let s(g) = -g. Calculate h*s(l) + a(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10422\/42605 or -1?\nAnswer: 10422\/42605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -3 - 3) + 3. Solve x - 4 = -4*v - j, -x + v - 7 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -62 and 160123.2214236.\nAnswer: 160061.2214236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 9*l = 3*n - 31, 28 = l + 4*n. Solve -11*o - l = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b1234e - 8?\nAnswer: -b12357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**5\/5 - 33*a**4\/5 + 102*a**3\/5 - 42*a**2\/5 - 21*a + 15 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*r + 304 = -149 + 123, 11*r + 707 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149899 + -219581. Let o = h + 23982. Round o to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 0*a + 403*a**2 + 3*a.\nAnswer: 403*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*k**(-1\/2)*k)))**(6\/13))**(-15))**12 assuming k is positive.\nAnswer: k**(-1620\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 38*j + 7. Let u be a(-27). Suppose -u*m = -2485*m - 3864. List the prime factors of m.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1757, -3510, -5263, -7016, -8769, -10522?\n\"Answer: -1753*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36857 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 25 = 3*l + 2, 5*c + 4*l = 75. Let q be (-204)\/(-28) - (-2)\/(-7). Suppose q*b - 2*b = -3*m + 87, -m + c = b. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441174 divided by -6?\nAnswer: -73529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -10, -1, 2, 55?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4, -3*h + 4*n + 0 = -2. Solve 6*s = 3*s + h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*l**4 - 168*l**3 + 177*l**2 + 1302*l + 408 = 0. What is l?\nAnswer: -2, -1\/3, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -757 + 1927. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a. Let p(x) be the third derivative of x**5\/60 - 4*x**2. Calculate y(p(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*y - 770 = 0, 2*y + 2361 = o + 2*o. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 5216.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 90, 244, 460?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31739952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9775 + -0.0225. Let y = 588 + -580. What is the nearest to -1 in y, d, -8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.78359 millilitres in litres?\nAnswer: 0.03978359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = -3*r + 7*r. Suppose r - 6 = 2*w. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -628*k - 5446*k + 1185*k to the form j*k + y and give j.\nAnswer: -4889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*(-4 + -2). Let s(d) = -5*d**3 - d**2 + 1. Let k be s(-1). What is the second derivative of l*j**5 - k*j**5 + 3*j - 5*j wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/21*((-7224)\/(-96))\/43\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*m = -4*v + 16, -4*m = -4. Find the second derivative of 2 - 11 - 12*u + v + 22*u**2 wrt u.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e3eea + -578?\nAnswer: -e4462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**25\/(g\/(g\/g**6)*g*g))\/(g\/(((g*g**(11\/3))\/g)\/g)*g**22) assuming g is positive.\nAnswer: g**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a13 (base 13) to base 5.\nAnswer: -23311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f + 3. Let t(z) = -17*z + 4. Let h(x) = -5*t(x) + 7*u(x). Is h(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*j**2*s + 4070*j**2 + 895341*j*s + 4*s wrt j.\nAnswer: 310*s + 8140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -0.054995, -3, 0.3, -0.015?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:24 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*u - 2 = 4, 3*u = 9. Which is the closest to 0.2? (a) d (b) 0.3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29622631 to the nearest integer?\nAnswer: 5443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2) + -1 + 13. Let i = -16 + v. Let p be 140000\/12*13*i. Round p to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189700.\nAnswer: 2, 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 6. Let d be -1 + (68 - -4 - -1 - -3). Let q be 6*((-2)\/(-3))\/(100\/d). Sort -0.2, q, w in increasing order.\nAnswer: w, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 18)*((-52)\/(-10) - 7*40\/(-2100)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/10 - i**4\/6 + i**3\/2 + 7*i**2. Let u(p) = -p**2 - 157*p - 1190. Let n be u(-8). Calculate b(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5 = -4*v + 27, -4*v = -k - 19. Let y(c) = -c**3 - 4*c**2 + 12*c + 3. Let h be y(-6). Differentiate h*s - k - 4 + 0 + 2 with respect to s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 62, 105, 154, 209, 270, 337?\n\"Answer: 3*n**2 + 28*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-249)\/2*(-196)\/78. Let v = f - 313. Let p(c) = c + 2. Let m be p(-4). What is the closest to m in -2, v, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 9 + (-3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + x**2 - x**2 + (-x + 2*x - 3*x)*(2*x - 4 + 1 + 4) to the form o + j*x**2 + h*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1. Let k(x) = -x**3 + x**2 + 6. Let s(a) = -6*i(a) - k(a). Let v = -267 + 266. Let m(p) = 8*p**3 - 8*p. Let u(l) = v*m(l) + 4*s(l). Factor u(q).\nAnswer: -4*q*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4537 + (4 - 1))*-500. Round q to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 8*k + 6. Let g(t) = -t + 1. Calculate b(v) - 5*g(v).\nAnswer: -v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -10121101?\nAnswer: 10121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3919903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -44*(-1 + 795\/804)*(-2)\/3. Which is smaller: q or 0.07?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3107 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = -2*g - 2, 5*u - 16 = 4*g. Which is the closest to -1? (a) -0.4 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -11. Suppose h*c + 7 = 41*c. Let t = 2 - -1. Put -1, t, c in descending order.\nAnswer: t, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59736?\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 6)*((2 + 0 + 0)*(2*y**2 - 3*y**2 + 0*y**2) - y**2 - 4*y**2 + 2*y**2) to the form c + s*y**2 + r*y and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8822345 a multiple of 1646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -7. Let w be 1\/4 + 9\/c. Let q(d) = d**3 - 12*d**2 - 1025*d + 10439. Let l be q(10). Sort -1, l, w in decreasing order.\nAnswer: -1, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -o - 12, -k + 4*k = -15 + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 24*i**2 + 45*i - 35. Determine y(11).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15224, -15297, -15370?\n\"Answer: -73*s - 15151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Suppose l*t - 24 = 4*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 186749?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*s + 192 = 0. Solve -5*c = -1 - s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 15*o**2 + 7*o + 7. Let x(p) = 7*p**2 + 3*p + 3. Let w(t) = 3*h(t) - 7*x(t). Let f(z) = -5*z + 10*z - 7*z. Determine f(w(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 484087 to the power of 1\/2, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*o**3 + 19*o**3 + 25*o**3 - 144*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 4*t + 1. Let l be c(3). Let y be ((-14)\/(-6))\/((-11)\/(-660)). Suppose -p + y = l*p. Solve -3*g + 10*x - 5*x + p = 0, -2*g - 3 = x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1005)\/(-3738) - 2\/7. Let l be (-124)\/(-32) + -4 - 6686\/(-27056). Let o = u + l. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + (0 + sqrt(500))*4 + sqrt(500) - (-3 + (sqrt(500) - sqrt(500)*-1)) - (-5 + sqrt(80) + sqrt(80) + 1)*-3)**2.\nAnswer: -1152*sqrt(5) + 20561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -8. Suppose d = -g*s - 17, 17 = -4*d + 5*s - 38. Let i(k) = k**3 + 15*k**2 + 22. Is 9 a factor of i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -4 (c) 13 (d) 2\/11 (e) -5 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 20 = 4*l, 2*l + m = -0*l - 10. Let a(n) = -3*n**2 - 3*n**2 + 5 - n**3 + 8*n + 3*n**2. Is a(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 9. Let w be z(-2). Suppose 2*n - 5 = -w. Suppose -5*g + 1 = -0*a + 2*a, -4*g - n = a. Solve 0 = q - 1 - a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsr when three letters picked without replacement from {t: 1, s: 1, r: 1, q: 1, g: 1, y: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-13)*w\/(w**31\/w) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -184, -192?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -12101340?\nAnswer: -12101332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 4*w - 27. Let m = 3863 - 3866. Let z(a) = -a**2 + 2*a + 14. Calculate m*f(o) - 5*z(o).\nAnswer: -o**2 + 2*o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 41 - 18*b + b - b - b + (-2 + 3 + 1)*(-1 - b + 1) to l*b + z and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -21*q**3\/2 - 69861*q**2\/2 + 1927008*q - 547722 = 0.\nAnswer: -3381, 2\/7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 3*j**5 - j**5 - j**5 + 6*j**5 + 2*j**5 + 5*j**5 + 0*j**5 - 4*j**5 + (-1 + 2 + 1)*(-3*j**5 + 3*j**5 - j**5) + 0*j**5 + j**5 + j**5.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176694?\nAnswer: 2, 3, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -165*h - 196*h - 3 - 11 + 13 in the form n + f*h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**3 - 528*c**2 - 6*c - 850. Give h(-132).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9669569 is divided by 420415?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 43, 96, 169?\n\"Answer: 10*v**2 + 3*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:00 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 26*n - 53. Let q be s(28). Suppose f + q*b + 19 = 2*f, -2*b = 4*f - 34. Suppose r + 37 = 2*r. Calculate the remainder when r is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h - 15. Let i be (h\/(-12))\/((-1)\/(-4)). Suppose 10 = -0*l + 2*l + 5*u, 0 = -l + 3*u + 5. Solve -l*s = -4 - i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002884302 to 7 dps.\nAnswer: -0.0002884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 10:41 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9424, 1, 0.1, -8\/23, 3 in ascending order.\nAnswer: -8\/23, -1\/9424, 0.1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 47*r + 165. Calculate a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, f: 6, j: 1}. Give prob of picking 1 z, 1 j, and 2 f.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36206)\/(-301) - (-360)\/(-560)*(-4)\/(-9)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13267831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-9)*(-3)\/(-54)*(-1488)\/(-124)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.999 + -39.8. Let b = 0.23 - i. What is b rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(1872) + 2 - sqrt(143)\/(5*sqrt(44))).\nAnswer: -239*sqrt(13)\/10 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3601, -7201, -10803, -14407?\nAnswer: -18013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 457 + -245. Let q = h + 57. List the prime factors of q.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -23*j + 180. Give d(10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.38 + 0?\nAnswer: 128.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose 5*t = 3*a + 120, t - 4*a - 9 - 15 = 0. Suppose 1 + t = -5*l. Put l, 1, q in decreasing order.\nAnswer: q, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 23 + 86 = 5*d, 5*r + 2*d - 36 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 - 4 + 1 + 4 + (-3 + 2 + 3)*(3 - 4 + 3))*(-435 + 45*i + 435).\nAnswer: 135*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -21. Suppose 0 = 14*t - 12*t - b. Suppose 0 = -4*g - 12, -t*k = 3*g - 4*g - 18. Solve -k*m = -2*w - 25, m - w - 5 = 4*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 320314225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**13*k)\/k**(-8) assuming k is positive.\nAnswer: k**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10 = -4*z, -3*a + 37 = 5*z + 6. Let y(w) = 14*w + 20*w - a - 31*w + 3*w**2. Let q be y(1). Let x(n) = 3*n - 5. Determine x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 781, -3, 369, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36605)\/(-5)*6\/(-36). Let w = p + 1209. Let y = 12 - 8. Calculate the common denominator of y and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572322387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4936*v + 4933*v + 322*v**4 + 89*v**4 + 3*v**4 - v**4 - v**4 + 3*v**4 + v**4 - 3*v**4 + (3 - 3 - 2*v)*(3*v**3 + 2*v**3 - 3*v**3).\nAnswer: 409*v**4 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 - 566*a - 885. Let h be u(-108). Solve -13*o + h = 1845 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 49064049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*p - 16842, 5*p + 13617 = -2*j - 3234. Which is smaller: -3371 or p?\nAnswer: -3371","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -24.9. Let c = -0.7 + -0.3. Put s, 0, c in increasing order.\nAnswer: c, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 11*x - 3 - 6*x + 10*x**3 + 19*x - 11*x**3 + 21*x**4 as m*x**4 + p*x + c*x**3 + d + w*x**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1017021)\/140 + 4\/14. Let f = 7260 + x. Calculate the common denominator of -11\/16 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (7 - 0) + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269 or 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 10:19 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29476 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvvvcvvzcvccvvvcvz. What is prob of picking 1 v, 1 c, and 2 z?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 328*o + 2*o**2 + 70*o.\nAnswer: -2*o**2 - 258*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 21*h**3 + 7*h**2 + 4*h - 3. Let u(l) = 43*l**3 + 15*l**2 + 10*l - 7. Calculate -5*n(q) + 2*u(q).\nAnswer: -19*q**3 - 5*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 7 = 23. Suppose b*i + 1 = 9, 0 = 2*r + 3*i. Calculate the smallest common multiple of 3\/(-9) - 25\/r and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(700) + sqrt(700)*-1 - 1*sqrt(700)*-3)**2.\nAnswer: 180*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f. Let i(w) = -918*w. What is i(n(m))?\nAnswer: -1836*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 779627.1 milliseconds?\nAnswer: 779627100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -269039.423 + -4100\nAnswer: -273139.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 52329 = 52331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 292 - 1331*d + 715*d + 657*d. Let j be m(-7). Let a(w) = 3*w - 5. Determine a(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.382 - -0.3226. Let r = o - -0.2594. Which is smaller: r or -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-296 + 216 + 160)*(-3*n**5 + 5*n**5 - 3*n**5) + (0 - 2*n + 0)*(2*n**4 + 2*n**4 - 5*n**4) + (24*n**3 - 20*n**3 + 41*n**3)*(0*n**2 - 3*n**2 + n**2).\nAnswer: -168*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2 (b) -3 (c) -1\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1398 + 2?\nAnswer: 139a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = c, k - 11 = -2*c - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-15) - (-137844)\/(-105). Let s = i - -2038. What is s rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(-37 - 2065\/(-55))*(-2 + 3)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.2.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*d + 49 - 63 = 0, 5*d - 10 = 3*o. Let n(q) be the third derivative of -q**5\/60 - q**4\/8 + 7*q**3\/6 - q**2. Calculate n(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -637697*i + 6. What is s(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355785 divided by 18.\nAnswer: 118595\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 45, 0.1, 11, -0.01?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848768 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7685 and 1060.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 3\/(-6) - (-850)\/68.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 294 - a?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2021*w - 96264 = 653*w for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6\/(-9))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 11*x + 109. Does 10 divide o(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + n + 6. Let t(z) = -2*z**2 + z + 5. Let f(o) = -7*o - 40. Let k be f(-5). Determine k*t(u) + 4*r(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -28 (c) -5 (d) 2\/3 (e) 3 (f) -1555\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -15 + 17 + -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13220*b - 12551 wrt b.\nAnswer: 13220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/7 (b) 2\/7 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoh when three letters picked without replacement from {o: 3, h: 3, k: 1, y: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -23)*-3*2157\/(-18). Suppose 11*f - 22*f = -c. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 9*u - 2. Let s be o(10). Suppose s*q - 5*q - 42 = 0. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2. Let v(q) = q**2 - q + 1. Let z be -3*(2 + 285\/9). Let s = 2512 - 2612. Let f = z - s. What is f*v(i) - n(i)?\nAnswer: -2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 80 = -2*r, 0 = 4*h + 2*r - 243 + 77. Calculate the highest common factor of 533 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2)*(-16)\/(-10))\/(617\/(-3085))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-638)\/(-480) + 231\/(-231) and 115\/312.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38682.\nAnswer: 2, 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d + 32. Let v(m) = 2*m - 5. Let h be v(-6). Let w = 19 + h. Solve 3*l - d = b - w*b, 4*l = 4*b + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769131953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6840\/486 - 14)\/((-4)\/6) - 862\/18?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19878.9 - 19879. Let j = 0.1 + -0.1. What is the second biggest value in d, -4, j, 0.01?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**2 + d - 1. Let u be (-2)\/(-12) - 22\/(-12). Let t be a(u). Solve -5*x = 4*k + 20, -5*k - t = -x + 4*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -29*h**3 + 6*h**2 - 4*h + 10. Let k(p) = -31*p**3 + 7*p**2 - 6*p + 11. What is -4*k(w) + 5*l(w)?\nAnswer: -21*w**3 + 2*w**2 + 4*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 107*b + 302. Give c(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519539163?\nAnswer: 67, 22679689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 136 or 42?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7920 + -2827442\/357. Let a = 1418\/1785 - u. Let n = -9\/5 + 13\/10. Is a > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9623, -9625, -9627, -9629, -9631, -9633?\nAnswer: -9635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 14271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/30888*-16)\/((-8)\/52).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7912161, 7912164, 7912167, 7912170?\n\"Answer: 3*b + 7912158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45466, 363965, 1228464, 2911963, 5687462, 9827961?\nAnswer: 15606460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**24*c\/((c\/c**(14\/9))\/c*c) assuming c is positive.\nAnswer: c**(230\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266632149 or -266632146?\nAnswer: -266632149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -116303, 5, 3, -3.\nAnswer: -116303, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.3 + -7. Let s = -61 - -181\/3. Let t be ((-3)\/(-15))\/(1\/3). Sort t, q, s in decreasing order.\nAnswer: t, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 16. Let g be (-32)\/(-8) - (-16)\/(-2). Let j be u(g). Let v be (-95)\/130 - 1\/j*2. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-695)\/180 - -4) + -7*3\/(-189).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 261*g + 12 + 2 - 7 - 2439*g.\nAnswer: -2700*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -x - 4, j + 3*x + 9 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 12. Let x be c - ((-16)\/(-2))\/1. Let t = x - -10. Solve t*p = p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 6*v**2 - 5*v - 7. What is t(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 - 890 - 19*i + 294 + 298.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091 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: Sort -2073, 23, 1.\nAnswer: -2073, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-25)*(-5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130488 - -130411. Let x = 2\/65 - -116\/455. Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-9) + (-5)\/3. Let z be -1*7 + (2 - 0). Let n(d) = 2*d + 9. Let p(l) = -l - 21800 + 43594 - 21798. Determine r*n(q) + z*p(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-183)\/90 + 2). Suppose t = c - 5*k, -4*k - 55 = -4*c - 15. Solve -c*j + 8 = -0*j - d, -4*j + 5*d + 19 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -80.5, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*6\/(-240) - -3) + -3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(3 - 1)\/4. Let i(m) = -m - 3 - 5 + p + 5. What is i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -317, 3, 1, 5 in decreasing order.\nAnswer: 11, 5, 3, 2, 1, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2. Let u(d) be the first derivative of d**2 + 1. Calculate u(l(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/((-2)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:59 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/25 - 1*44\/165. What is the nearest to -37 in -1, 1, -2\/5, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 599674783 - 599674814.0000207. Let p = 31 + d. What is p rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142924818 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 40404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17\/6 - -4\/3. What is the closest to 1 in -0.1, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:31 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0.854, -4, 3\/4, 4, 2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (7 - 0) - 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0. Suppose w - 2*w - 14 = 3*q, q = -5*w. Let t = 0.2 + -0.3. Which is the closest to t? (a) z (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/((y*(y**(4\/9)*y*y)\/y*y)\/y))\/y)**(1\/4)\/((y\/(y*(y\/y**(-4\/15))\/y))\/y**(-2)) assuming y is positive.\nAnswer: y**(-377\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-18612)\/564 - (-5 - -8)*-7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.9 + -17.9. Let y = -5071901\/13773690 + -1\/43726. Let q = y - 2\/63. Which is the closest to -0.1? (a) k (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 + 140. Solve m = -y*k + 23, -k - 4 = -4*m - 17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkrrrrrkrrkkkrrkrr. What is prob of sequence rkr?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 6076.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jrjfrjrrvfijrijrir?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 112. Let r = o + 23. Let v = -16.66 - r. Round v to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*a + 342 = 0. Let f = 165 - a. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-520)\/1170 - (-55)\/63?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 540240934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*u + 49*u + 36*u)*(-5 + 1 + 5).\nAnswer: 69*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5810 smaller than -5810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 + 45676365*v**4 - 104316630171480*v**3 + 521582008948900*v**2 = 0. What is v?\nAnswer: 0, 5, 4567634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -2, -172598 in descending order.\nAnswer: 0, -2, -3, -172598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1663 or -1332?\nAnswer: -1663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.2012312528+0.007\nAnswer: 2.2082312528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 48*p + 64 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2404 - 1322*l - 3203*l + 2404)*(0*l - 5*l + 4*l) as y*l + x + i*l**2 and give i.\nAnswer: 4525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyytzzzzzzzzzyyztzz. Give prob of picking 1 t, 1 y, and 2 z.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*f + 384. Let d = f - -114. Let t = d - 24. Calculate the greatest common divisor of 48 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, -5\/4, -2, 59 in ascending order.\nAnswer: -2, -5\/4, 2.3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 122, 125, 128?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((128\/(-12))\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1075182 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -139, -272, -463, -706, -995, -1324?\n\"Answer: h**3 - 35*h**2 - 35*h - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k. Let h(j) = j**2 + 7*j - 19. Calculate h(g(l)).\nAnswer: l**2 + 7*l - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -54969, -54971, -54983, -55011, -55061, -55139, -55251?\n\"Answer: -l**3 + l**2 + 2*l - 54971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*2\/22*(-3)\/(-6). Let q = 3040 - 12159\/4. What is the closest to q in -0.4, m, -0.5, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/6)\/(1*5\/(-15)). Calculate the greatest common factor of l and 1536.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2662*n**2\/3 + 33514*n\/9 + 6280\/9 = 0.\nAnswer: -4, -785\/3993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/((-6)\/4). Let s be (2\/6)\/(7\/(-12)). Let j = -0.2 - -0.3. Which is the closest to j? (a) k (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 5:36 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2. Let s(v) = -3155*v**2. Determine p(s(b)).\nAnswer: -49770125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 + 1)) + -15 + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -198673 and 1345.\nAnswer: -267215185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -0.03?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -846*h**2*k*t*y + 2*h**2 - h*k*y + 3*h*t**2*y + 207*h*y + 4*k*t**2*y - t wrt k?\nAnswer: -846*h**2*t*y - h*y + 4*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5639, 22782, 51431, 91586, 143247, 206414, 281087?\n\"Answer: 5753*r**2 - 116*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2142 divided by 9\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h + 38. Let m be c(16). Suppose m = 4*q + 2*w, w + 85 = 4*q + 2*w. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 2:25 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27893.\nAnswer: 27893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - -184b2c?\nAnswer: 184b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/14*(-9 + -1 - (-273)\/42)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -244*(-33 - 2489\/(-76)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.18 (b) 26\/3 (c) -2\/5 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*l = -72*l - 2997 - 2536 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 17.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95\/44 - 105969\/49060. Let q = r - -2903\/4460. Let g = q - 2\/5. Is 3\/4 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2 + 7, -5*l + 45 = 3*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386721961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 + 8*s + 9. Suppose 0*t + 16 = -2*t. Let p be h(t). Suppose -w + 6*w - p = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 3199329, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 7*d**2 + 3*d**2 + 10 - 4*d + 5*d. What is the least common multiple of 22 and s(0)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/12 + r**3 + 2*r**2 + r. Let x = 1341 - 1337. Calculate a(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1. Let d = 3 + -2. Let u(n) = 0*n - 3 + n + d. Let i(t) = -3*s(t) - u(t). Determine i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 220*x**2 + 1800*x.\nAnswer: 4*x*(x + 10)*(x + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h - 2*h - h)*(1104 + 933 - 2359).\nAnswer: -1932*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a factor of 4394324673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:52 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 12:46 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/4 - w**3 + w**2\/2 - 9*w + 3. Let p be b(-4). Is 10 a factor of p*(44\/12 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71352411 to the nearest integer?\nAnswer: 8447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**6\/15 + 2*q**4\/3 - 6*q**2 - 16. Let z(r) be the second derivative of b(r). Find the second derivative of z(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2950\/93 - -647147\/20398. What is the common denominator of s and 40?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/(-1 + 2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z - 43*z + 1443*z**3 - 58434 + 58434.\nAnswer: 1443*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*0.10130614.\nAnswer: -1.31697982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*b = -104 - 126 - 155. Solve 0 = -4*z - 3*x - 11, -z + 3*x - b = -21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.632856408 + 0.1954\nAnswer: 0.828256408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.41982 weeks to microseconds.\nAnswer: 46823507136000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(18) - ((sqrt(99) + (sqrt(99) - sqrt(99)*3))\/sqrt(9))**2.\nAnswer: -11 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124.4 + -124. What is the second biggest value in u, 2\/17, 0.1, -4, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12315604 is divided by 728?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 9 + 3, -1082 = -5*w + 2*f. What is the first derivative of -13 + w*a**2 - 349*a**2 - 41 wrt a?\nAnswer: -262*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046779816 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -259 + 0*a**2 + a**2 + 260 + 2*a + 0*a. Let k be m(-1). Suppose 0 = -3*u, k*z = -3*z - u + 72. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -446.87 - -450. Round n to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1489, -5 in ascending order.\nAnswer: -5, -4, -2, 1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2857069?\nAnswer: -2857069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1*sqrt(19) + sqrt(19))*-4 + -3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/65 - -797\/130. Let k = 37 - 21. What is the common denominator of k\/6*(-81)\/84 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*j = -24, 4*l = 3*j + 1 + 3. What is the closest to -0.15 in 5, -0.5, l, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-110*w**2 - 1587*w + 1587*w) + (2 + 2 - 5)*(-2*w**2 - 2 + 2).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269198894?\nAnswer: 2, 134599447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1691 and -0.09.\nAnswer: 152.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5639254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2838*q + 1474813 + 925*q**2 - 1830*q**2 + 906*q**2 + 538748.\nAnswer: (q + 1419)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*x + 35 = 3*b, -3*b - 65 = 4*x. Let y be ((-50)\/b)\/((-4)\/18). Let a = 16 + y. Solve 5*r + a = -l + 3*l, -3*l - 11 = 5*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*(-4 + (-138)\/(-24)) and 53\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -34. Let u = -10 - i. Let b(n) = -8*n - 3. Let c(t) = t. Let x(p) = u*c(p) + b(p). What is the first derivative of x(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 31*f + 8 - 36.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 18, 26, 38, 54, 74?\n\"Answer: 2*w**2 - 2*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = -5*t + 635. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**11*v)*v)**(-5\/16)*(v**16\/v)\/(v*v**(-5)) assuming v is positive.\nAnswer: v**(177\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 15*g - 20*g. Let y be 8\/(g\/11) - (-2)\/(-3). Factor -5 + 16*v**3 + 20*v**3 + 10*v + 5*v**4 - 46*v**y.\nAnswer: 5*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 1. Let g be b(3). Let y = 10 + g. Suppose -3*a + 1603 = y*f, a - 2*f + 76 = 625. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7858, -15715, -23572, -31429?\nAnswer: -39286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 63704062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:18 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70739111?\nAnswer: 70739111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12020 - 1100?\nAnswer: -20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (288\/27)\/4*(75\/(-70))\/5\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 7905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1010*k. Let v(s) = -3*s**2. Calculate d(v(g)).\nAnswer: -3030*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbs when three letters picked without replacement from {b: 1, a: 3, q: 4, c: 7, s: 1, p: 2}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123026, -123025, -123024, -123023, -123022?\nAnswer: -123021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1869 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 5*y**2 - 77*y - 33. Give f(6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 2*t + 1. Let w be g(1). Suppose 0 = -w*j + 3*j + 5*l - 37, -5*j - 3*l = -67. Let r = 93 + -66. What is the remainder when r is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**3*k**3 - j**3 + 5*j*k**2 + 8*j - 132*k**3 - k wrt k.\nAnswer: -18*j**3 - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -5. Suppose u*o - 700 = 20*o. Let t be (-153)\/(-6)*o\/15. What is t rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = z + m, 0 = -5*z - 2*m - 11 + 3. Suppose 4*y = 2*s, -2*y - 5*s + 17 + 7 = z. Let h(o) = 8*o - 13. What is the remainder when h(2) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9303033 divided by -3\nAnswer: 3101011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-2)\/12*2). Does 22 divide v\/(-18) + 538\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58349 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 - 283*l + 241*l in the form t + o*l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**8\/672 + 2*f**7\/105 - 59*f**6\/240 + 13*f**5\/20 + 89*f**2 + 11*f. Determine u, given that i(u) = 0.\nAnswer: -13, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1676?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 322652 divided by -22?\nAnswer: -14666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 93*w**5 + 1557*w**4 + 5079*w**3 - 8577*w**2 + 1848*w = 0?\nAnswer: -11, -7, 0, 8\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9f - 1?\nAnswer: -ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-1351)\/1155 + (-267)\/15 + 19).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 399\/35 + (-6)\/(-10). Calculate the remainder when 8 is divided by g\/2 + (-4 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 23?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = -14*w - 279. Let r be (18 - 26) + w\/(-3). Solve -3*x + 1 = -r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19.69159 millennia?\nAnswer: 19691.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*b = 195*b - 10 + 910 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and 2.1.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4 + 0 + 12 - 2*v**2. Suppose -4*g + 0*g + 5*k + 36 = 0, 22 = 3*g - 5*k. Calculate the least common multiple of g and y(0).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/8 and -5\/196.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90500, 180675, 270238, 358883, 446304, 532195, 616250?\n\"Answer: -51*n**3 + 90532*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 19*a**2 + 5. Let k be j(-19). Solve -k*f - 1 = -6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1795632 to 3 dps.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**6\/900 - d**5\/450 - d**4\/180 + d**3\/45 - 36*d**2. Factor m(c).\nAnswer: 2*(c - 1)**2*(c + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -107*q + 2356. Let p be h(21). Solve -p*r = -216*r + 109*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*v - 40, 0 = 3*y - 4*v - 6 - 26. Let f(a) = -a**2 + 6*a - 4. List the prime factors of f(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrnrrnrrrrrrn?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 19*d**2 + 4. Calculate m(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0 - (0 + (-5 - -2))) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 352441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 85 + -2 - (7 - (11 - 0)). Let z(o) = 229*o**2 - 3*o - 2. Let w be z(-2). What is the greatest common factor of p and w?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109001 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67381896?\nAnswer: 2, 3, 1423, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.73404552966 and -0.1.\nAnswer: 6.63404552966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2904)*-1 - sqrt(2904) - sqrt(24)) + sqrt(24))\/(-2*sqrt(48))*-6)**2.\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4) + (4 - 3)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 - 6*n - 3. Let q be h(7). Is 2\/3*q\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (16 - (-12 + 17))) + -25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61062801 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(j) = -3*j**2 - j. Let q be w(1). Let d(i) = -i**2 - 3*i + 5. Suppose -6*u - 4 = -5*u. Let m be d(u). What is the nearest to 3\/4 in m, 3\/5, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4629*x. Let l(a) = 5*a**2. What is l(f(c))?\nAnswer: 107138205*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 111082680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495401055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(sqrt(187) + (sqrt(187)*3 - sqrt(187))*1)\/((sqrt(176) + sqrt(44))\/sqrt(4)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 14. Let l be (0 - j) + 2\/6. Factor l*g + 0 - 1\/3*g**3 + 0*g**2.\nAnswer: -g*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Give v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-3.58.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 11:45 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 3*z + 3. Let r be c(-5). Let q = r + 152. Does 30 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -961 = 111*b + 149. Let a(i) = -66*i - 653. Calculate a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -8. Solve -3*g = f + 2*f - 18, 0 = 2*f - 3*g - i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 1988*j - 3 = 1989*j, -4*j + 12 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/18955556 and 61\/1072956.\nAnswer: 56866668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 16 + 13 - 149*g + 31*g - 3*g**3 as i*g**2 + j*g**3 + w + d*g and give d.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v + 12. Let m(y) = 15*y - 99. Let o be m(7). Give q(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3578, -3389, -3134, -2813, -2426?\n\"Answer: 33*y**2 + 90*y - 3701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - -2 - (1 - 3). Solve -n*j + 2 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3465 and 1365?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31355 and 415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/24 - (5878\/264 + 544\/(-2992)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -w - 30, -8 = -2*i + 4*w - 7*w. Let m(j) = 8*j**2 + 5*j - 4. Let h be m(-4). Suppose i*o - h = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7194 + 43271\/6. Let o = 109705\/16 - 6860. Find the common denominator of j and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/100)\/(-7 - ((-456)\/32 + 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.73 + 20. Let x = q + 0.03. Suppose -5 = -2*m + 3. Which is the closest to -1\/3? (a) m (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1291, 0.2, 3, 0.1, 2\/25, -0.2, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973.1211 centuries to years.\nAnswer: 97312.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 47. Let f be ((-64)\/60)\/((-5)\/(j\/6)). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1809. Let a be o(0). Suppose a = 7*g - 3014. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1722?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216495\/(-89505) + -5*2\/(-90)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -41 + 4 + -20\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 1:44 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(k - 3*k + 3*k) - 2*k - 3*k + 3*k + 359*k + 148*k + 476*k)*(2 + 0 - 3)*(-3 + 2 - 1).\nAnswer: 1960*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3267 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-8 - -11) + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 270655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x**2 - 16*x - 9. Determine c(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -316.4 + 316. Let d be (-4)\/6 + (-14)\/(-12). Which is the closest to -2? (a) d (b) 1\/6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 2) + (-25 - -16) - (20 + -6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124783120)\/41536)\/235 - (-4)\/118?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47714*a*b**2*p + 60520*a*b**2 + 56*a*b*p - a*b + 31*a + b**2*p + 1 wrt p.\nAnswer: 47714*a*b**2 + 56*a*b + b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035848447 rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 g, and 1 i when four letters picked without replacement from ygaigaiaoigoxiioaog.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*j - 25, -11 = p + 5*j - 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 + 14*g**2 + 118*g - 1. Let j be r(9). Put -9, j, -5, 0, 2 in decreasing order.\nAnswer: j, 2, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*z - 45, -5*x + 37 = 242*z - 243*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6398.4 rounded to the nearest one hundred?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 2, i: 5, y: 6, o: 1, j: 3}. Give prob of sequence yiu.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951044531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 327, 0, 5, -16, -8, -1 in decreasing order.\nAnswer: 327, 5, 0, -1, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2934\/36 - 1\/(-2). Suppose 0 = -w*p + 80*p + 578. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368811 is divided by 26322.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -2)*-1*1. Let a(n) = 2*n**2 + 5*n. Let q(h) be the first derivative of 3 + 10\/3*h**3 + 13*h**2 + 0*h. Calculate m*q(t) + 16*a(t).\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 5. Let k(l) = 9*l + 81. Calculate -k(r) - 12*p(r).\nAnswer: 3*r - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(16\/(-3)))\/(1\/(-4)). Which is the closest to -1\/2? (a) -2\/11 (b) m (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1030*h + 6065. Give a(-6).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:56 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 553630181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/2 + 243*x**3\/2 - 13293*x**2\/2 - 188087*x\/2 + 338709 = 0. Calculate x.\nAnswer: -14, 3, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 3)*(-5)\/1685. Let c = o + 3343\/3033. Factor -10\/9*d + 20\/9*d**2 - 2\/9*d**5 + 2\/9 + c*d**4 - 20\/9*d**3.\nAnswer: -2*(d - 1)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2. Let v(q) = 23*q**2. Give v(o(a)).\nAnswer: 23*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (11\/30)\/(17578\/3196)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 39*n**3 + 3*n**2 - 2. Calculate u(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/(-720)*4 - 2\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10392794 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2)*(-1)\/(3\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164*h**2*u**2 - h**2*y**6 + 47*h**2*y**2 + 2*h*u*y**2 - 20426*u**2*y**3 + 2*u*y**2 wrt y.\nAnswer: -120*h**2*y**3 - 122556*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 + -7 - -4) + (4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1997 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 34 - 31 = 0. Suppose -31*o = -w*o - 224. Calculate the lowest common multiple of o and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - c + 7. Let o be k(-3). Let d be (-23)\/(o*(-3)\/3). Let b = 25 - d. Solve b*r + 3*m = -0*m + 4, -3*r = m - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*m + 5*m**3 - 11*m)*(2 - 1 - 2) to the form s*m + k*m**3 + f + h*m**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59248012 and 4324?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 3) to base 12\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t - 666 + 1098 = 4*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 68\/116415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(175))*4)**2 + -4.\nAnswer: 320*sqrt(7) + 2860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1628 + 1628. Solve 12*s - 10 - 2 = a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -17. Suppose -u*c + 64 = -3*c. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 125\/(-100)*2\/15. Which is the nearest to 0? (a) z (b) 0.4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2930621*f + 17583718. Give r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47200 + 47200 - 24*l + 8*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Suppose -5*v + 195 = -h*x, 5*x = -2*v - 2*v + 123. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 289.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**5 - 3\/2*u**4 + 27 + 0*u**3 - 1\/6*u**6 + 0*u**2 + 0*u. Factor k(g).\nAnswer: -g**3*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**43*(d*d\/(d*d**(-1\/4)))\/(d**(1\/8)*d) assuming d is positive.\nAnswer: d**(-343\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14687 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67\/5 - 13. Let i = -4128 + 16645\/4. Let g = -693\/20 + i. Sort u, 0, g.\nAnswer: g, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3220 and 12279225.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b + 150 = 0. Suppose 0 = -2*l - 4, 4*l = 2*k + 8*l. Suppose -k*f = -f - b. Calculate the remainder when 18 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017273 rounded to 7 dps?\nAnswer: -0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g + 0*g - g**3 - 2*g + 4*g**3 - 55*g.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 7*b**4\/24 - b**3\/3 + b**2. Suppose 2*a = 7 + 1. Is v(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 1. Let n(c) = 7*c - 12. Determine n(i) - 6*u(i).\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzjokjlojollyjolll. Give prob of picking 1 z and 1 j.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + v**2 - 4*v**2. Let w(b) = -8*b**2. Let q be (5\/1)\/(-1 - -2). Let a(z) = -3*z**2. Let d(s) = q*w(s) - 12*a(s). Give h(d(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4*4\/(-2). Let d(q) be the second derivative of -q**4\/12 + 2*q**3\/3 - q**2\/2 + 5*q. Let x be d(i). Let y(u) = 2*u**2 - u - 2. Determine y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*u + 1 = 86*u, r - 5*u - 27 = 0. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 5:59 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**3 + 22 - c**2 - 47 + 155*c + c**4 + 25 - 13*c**3 in the form q*c**3 + x*c + r + j*c**2 + d*c**4 and give x.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*r - 30*n = -51*r - 46*r - 166, 5*n = 29 - 4 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1546*s**2 - 720*s**2 - 1240*s**2)*(-3*s + 3*s - 4*s) in the form i*s**2 + t + c*s**3 + f*s and give c.\nAnswer: 14024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(14\/(168\/132)). Let u(n) be the second derivative of 19\/6*n**3 + h - 1\/3*n**4 + 5\/2*n**2 - 37*n. Factor u(k).\nAnswer: -(k - 5)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -124284, -248572, -372858, -497142?\n\"Answer: b**2 - 124291*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83640 and 840?\nAnswer: 585480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 29*s + 332. Give u(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -23, -27, -27, -23?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 63 = -5*l, -5*r - l = -2*l - 77. Suppose -1324 = -20*w + r*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4649 + 37976. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 25*w - 70. What is the remainder when 87 is divided by s(-19)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -230330276.\nAnswer: 1\/57582569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-352)\/192).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*g**2 - 15*g**2 + 0*g**2)*(-26 + 271 + 638 - 104) as f + q*g**2 + r*g and give q.\nAnswer: -17917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**3 - 11685*c*i - 545035*i + 4 wrt c.\nAnswer: 15*c**2 - 11685*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*t + 87*t - 346*t + 83*t + 84*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + 10. Suppose -z*w = -47*w + 30. Suppose 0 = -2*f + 3*h - 4*h - 1, 0 = 3*h + 15. Solve f*c - w = 3*t, 4*c - c - 5*t - 7 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5842 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228 - 228. Sort 6\/11, a, -3 in decreasing order.\nAnswer: 6\/11, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*j**3*o**3 + 3*j**3*o + 238*j*o**3 wrt j.\nAnswer: -102*j*o**3 + 18*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 0, 20, 5 in increasing order.\nAnswer: -14, 0, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/1)\/(-9)*-15. Let m(d) = -d + p - 4 + 0. Let v be 1*(-1 - (3 - 4)). Calculate m(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27459*s - 2131*s + 5901*s to the form a + f*s and give f.\nAnswer: -23689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*g + 1522 + 1266 = 963 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26972, -53945, -80918?\nAnswer: -107891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11*p - 23. Let r = 19 + -16. Let w(i) = 4*i + 8. Let t(o) = r*j(o) + 8*w(o). Let v(z) = z - 1. Let a be v(1). Give t(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(2\/5)\/r))\/((r\/(r\/(r*r**(-1\/2)*r))*r)\/r))**(-18)*r**1*r**2*r**(-3)*r*r\/(r\/(r*r\/r**(-1\/5))) assuming r is positive.\nAnswer: r**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*7\/182*2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228527000 a multiple of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41 - 547*x - 418*x**2 + 119 - 35 - 43 wrt x?\nAnswer: -836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -12. Let g = r + -27. Solve 0 = -g*y - 4 - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i. Let u(a) = i*a + 4*a - a. Let l(g) be the first derivative of 4*g**3\/3 + 246. Determine l(u(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5*b**3 - 4*b**3 + 4*b**2 + b**2 - 3*b**2 + 2*b**4 as h*b**4 + s*b**3 + v + w*b + t*b**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -373 (base 8) to base 7\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112.5 - -113. Which is the closest to 0? (a) -0.13 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*h - 203*h - 68 + 68*h + 72*h to f*h + b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 d when three letters picked without replacement from {m: 1, t: 10, z: 1, d: 3, k: 4}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2349*p**2 + 1905*p**2 - 7445*p**2.\nAnswer: -7889*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by -280\nAnswer: 13\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024 is divided by 107?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + (-848)\/72 - (-1114)\/9. Suppose -26 = -5*f + i. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440547877 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.28 - 22.28. Let s = -0.631 - 16.369. Let w = s - a. What is the nearest to 1 in -1, 0.03, w?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2270 and 377728.\nAnswer: 1888640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 43 = -11*c + 14*c, a - 71 = 4*c. Suppose 3*q = 93 - 36. Calculate the remainder when a is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1012\/161*(-7)\/(-2). Calculate the greatest common factor of t and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s = 789 + 85. Solve -6*t - s = -1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6*1 - -1) + -1. Let h = 0 + s. Let q(f) = f**2 + 1870*f - 64724. Let g be q(34). What is the highest common divisor of g and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 44. Let r be (-9)\/24*4*(h + 1). Put 10, 4, r, 0 in decreasing order.\nAnswer: 10, 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k. Let q(x) = -7*x. Give 10*i(n) - 4*q(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546 is divided by 818?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -19, -3069?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - g - 8. Give s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291717558 to the power of 1\/2, to the nearest integer?\nAnswer: 17080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/124*7712\/6266*(-1)\/(-12)?\nAnswer: -2\/403","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001197289 rounded to 7 decimal places?\nAnswer: -0.0001197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/108*(-45)\/(-12))\/(9\/36)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - (-540)\/(-24))\/((-3)\/2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - p + 7*p + 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 3:25 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-2 - -1) + -1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 + 0)*(-4*p + 2 - 2)*(4*p**3 - 14*p**2 + 14*p**2).\nAnswer: -96*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwwtwwtttt. Give prob of sequence wtw.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402100 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 3*w + 0*w + (-2*w + 6*w - 2*w)*(2 - 4 + 1))*(-5*w + 2*w + w)*(-2*w**2 - w + w) to the form i*w**3 + q*w**2 + t*w**4 + m + y*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68.33 + 0.33. Let a = 64 + j. Let r = -17 + 4. What is the smallest value in r, -2, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621 = 43*p - 578. Which is greater: -2\/9117 or p?\nAnswer: -2\/9117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -0.10673?\nAnswer: 0.20673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(-4))*g*g*g**(-14)*g*(g\/(g\/(g**(-1\/4)*g)))\/g**9 assuming g is positive.\nAnswer: g**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -4.07?\nAnswer: -12.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 0, 4*t - 160763 = -5*o + 99435. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/((f\/f**(-19))\/f))*f)**(-4\/3) assuming f is positive.\nAnswer: f**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 8*u**2 - 6*u + 22. Calculate l(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**4\/4 + 9*r**3 + 71*r**2 + 6*r - 11318. What is w(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 41*g + 46*g + 7 - 1 + 43*g - 129*g. Let o = 12 - 19. Let s = 7 + o. What is l(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:00 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.7349 times -59061\nAnswer: -43403.9289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.42 - 3.41. What is the closest to -1\/2 in y, 2\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(22 - 2) + 21\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(140)\/sqrt(5).\nAnswer: 5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -11*x + 14*x - 4, -2*j = 4*x - 20. Solve -x*c - 14 = -3*w, w - 9*c + 11*c + 12 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199465873 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Let m be (93\/9)\/(q\/6). Does 13 divide (-3)\/(-6)*0 + m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 148985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -388.119 - 0.881. Let q = y + 390. Put 0.3, q, 19, -1 in descending order.\nAnswer: 19, q, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 23652210?\nAnswer: 23652203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 80, 116?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**15\/c*c*c\/(c**(-2\/3)*c))\/(c**13\/c*c)**40)**(-9) assuming c is positive.\nAnswer: c**4530","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 7:54 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbfb when four letters picked without replacement from fbifljbjbfbdiib.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-166)\/36 - 14\/(-63) and 91\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/936 and -79\/20?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 5*t - 271 + 261, 3*t - 20 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 3*s - 2. Let z be g(-1). Suppose -5*v = z*v + 2*v. Solve -3*b = -5*h - 14, 3*b + 3 + 3 = v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2738, 5439, 8126, 10793, 13434, 16043, 18614?\n\"Answer: -v**3 - v**2 + 2711*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1743 + -1735.87. Let u = c - 7.129529. What is u rounded to 5 dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50053007 is divided by 8485?\nAnswer: 8477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from fjjfjffjfjfjjfff?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -b490 (base 12) to base 9\nAnswer: -30010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 2, -4, 3 in descending order.\nAnswer: 3, 2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 640 and 2048.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**0*s))**(-2\/7)*s**8\/((s*s**9*s)\/s*s) assuming s is positive.\nAnswer: s**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5046.09 - -5046. What is the nearest to -2 in -2, -3, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*q - 43886 = 90*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 140*l**2 + 41*l**2 - 1040*l + 1042*l + 7 to the form i*l**2 + w + v*l and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x + x**3 + 20*x + x + x**2 + 2*x**4 - 3*x**3 to b*x**3 + q*x**4 + s*x + z*x**2 + a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, -2\/9, 10, -3.9 in decreasing order.\nAnswer: 14, 10, 4, -2\/9, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, -22, -11\/3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095123.\nAnswer: 3, 17, 109, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002222670266 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(352) + 1*sqrt(352) - sqrt(352))*-2)\/sqrt(8).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-300*v - 88 + 88)*(-1 + 1 + v).\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, g: 5, s: 2, h: 4}. Give prob of sequence gst.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48988171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*b - 5*x, -117*b = -122*b - 4*x - 67. Let n(k) = 0*k - 14 + 3*k + k - 5*k. Give n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -266*h**3*q**2 - 589*h**3 - h*q**3 with respect to q.\nAnswer: -532*h**3*q - 3*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:47 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40055 * 0.5043.\nAnswer: -20199.7365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:18 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 14. What is the common denominator of (2\/27)\/(4\/k) and -39\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(8\/4) + 1. Let d be (1*t)\/(10\/(-20)). Let m be (-216)\/(-5) - d\/(-5). What is the greatest common factor of 66 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2408 = -19*o + 33*o. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2435*f - 63306. Give u(-24).\nAnswer: -4866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*u = -87*u - 29*u + 230 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -5. Let i(x) = x**2 - 37*x - 80. Let q be i(39). Which is the third biggest value? (a) n (b) q (c) -0.3 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 8\/7, -4293?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 422915.1ng in milligrams?\nAnswer: 0.4229151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11386, 10977, 10568, 10159, 9750, 9341?\n\"Answer: -409*x + 11795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c + 2*c - 8*c)*(2*c - 13 + 13) + (14*c - c - 5*c)*(5*c - c - 3*c) to the form m + o*c**2 + v*c and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 - 116. Sort b, -4, 0, 5 in descending order.\nAnswer: 5, 0, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 46 = 4*h - 4*w, -4*w = 16. Let g be (h - -3879)\/((-15)\/(-50)). What is g rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-1 - (-5 + 2)). Let k = v + 5. Solve 4*r + 5*z = -2, r + 2*r - k*z + 19 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 6*x**2 + x + 6. Let n be j(-6). Suppose n = -z + 2, -3*q - 2*z + 6 = z. Let d = 8 + q. Calculate the remainder when 14 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*k - 29*k - 40*k - 19*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/60 - 3*m**4\/8 + m**3 + 567*m**2. Determine t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 3:15 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -j - 41, -3*u - 4*j - 14 = 20. Suppose -3*d + 2*a + 60 = -158, -4*d + 290 = -3*a. Let w = u + d. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*f - 29, -4*t - 3*f = -18 - 1. What is the common denominator of 7\/12 and 2\/t + (-23)\/(-924)*15?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from rylpqyq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 0*t + 281 + 10*t + 4*t - 8*t.\nAnswer: t + 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -15\/2 (c) 5 (d) 2\/13 (e) -5\/2 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*p - 36 = 0, 5*j - 4*p = 69 - 13. Suppose -l - j = -3*l. Solve 0 = -3*z - 4*g + l, 0 = -z - 3*z + 3*g + 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408595 = -34*w + 11*w. What is the tens digit of -4*(w\/10)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 501 - 382. Suppose 0 = -2*w - 3*j + 394, 505 - v = 2*w + 5*j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2208 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8429500 and 117\/674360.\nAnswer: 16859000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 26. List the prime factors of g(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 704 + -457. Let d = c - 793. Let z = -176 - d. Round z to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78.4 + 24.6. Let d = 74 - v. Let x = 29.19 + d. What is x rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 37*h = 9*h + 850561. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*b - 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/5181 and -149\/157296.\nAnswer: 271650192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 12) in base 14?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-35) - 26\/(-7). Let u = p + -7. Let g be (-2)\/2 + (u - -1). Put 4, g, -4 in increasing order.\nAnswer: -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 12*l + 10. Sort l, 1, 2\/5 in descending order.\nAnswer: 1, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.2 and 0.0014316.\nAnswer: -14.1985684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -64582 less than 5005.26249?\nAnswer: 69587.26249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**8\/168 + 74*g**7\/315 + 41*g**6\/30 + 18*g**5\/5 + 191*g**4\/36 + 14*g**3\/3 + 233*g**2. Suppose i(q) = 0. What is q?\nAnswer: -21, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26279731, 52559471, 78839211?\nAnswer: 105118951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**3\/7 - 1147088*b**2\/7 - 164433909498*b\/7 + 12174391567188\/7 = 0.\nAnswer: -286809, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -14616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -43818258 greater than -43818258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 22. Let t = -10 - y. What is the third biggest value in t, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280749 and 105009?\nAnswer: 338864043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11227711*3\nAnswer: 33683133","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 20*m**2 + 7*m - 11. Let v = 44 + -50. Let n(t) = -19*t**2 - 6*t + 11. Let d(h) = v*i(h) - 7*n(h). Find the first derivative of d(k) wrt k.\nAnswer: 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.509, -12, -5, 2.6 in ascending order.\nAnswer: -12, -5, -0.509, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:04 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1.4, 1, 1\/4 in decreasing order.\nAnswer: 1.4, 1, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 18, 11, 10, 21, 50?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**2\/3 + 14764*g + 132984 = 0.\nAnswer: -9, 11082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 1029 in increasing order.\nAnswer: 3, 12, 1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 815 + -813. Suppose i*v + 50 = 752. Calculate the greatest common divisor of 52 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 5*w + 47, -70165*f - 44 = -70169*f - 6*w + 58 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 17\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 + x**2 + 2 - 2 + 4 - 1 to t*x**3 + r + s*x + i*x**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-126)*-14*(-594)\/495.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -1\/6 (c) 6 (d) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-29)*j**(-33) assuming j is positive.\nAnswer: j**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-4)\/u)*u*u*u*u)*((u\/u**(2\/19)*u)\/u)\/u)**(-38\/3) assuming u is positive.\nAnswer: u**(346\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5111202 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s**2 + 198*s + 16. Let o be p(19). Calculate the greatest common divisor of o and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (122 - 110 - (1 - -12)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 401019601*t**3 - 7217693*t**2 - 5*t wrt t.\nAnswer: 2406117606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8256\/9 + (4\/(-12) - 0). Suppose t - 1306 = -o + g, t = 5*o - 11133. Suppose 0 = -7*c + 21*c - o. What is the remainder when c is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:08 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - (75 - (302 + -89)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**2 - 13*y - 58. Is 9 a factor of n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8*a - 5 = 0. Suppose 0 = 4*c - a - 7. What is the third derivative of 3*k**5 + c*k**2 + 0 + 0 wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -12*d**2 - 231*d - 969. Give s(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2405972*k**3 + 125*k**2 - k + 7.\nAnswer: -14435832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4\/7, 4, 85, -33\/34 in descending order.\nAnswer: 85, 4, 0.5, -4\/7, -33\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 9428.38731927 and -0.8.\nAnswer: 9427.58731927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8812968273 - 5\nAnswer: 8812968268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3066 and 657.\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -3 - -20 - -3. Let f = q - 21. Suppose 0 = -l + f + 2. Solve 0 = -5*b - l*a + 11, 4*b + 0*a + 2*a = 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -845 and 0.1.\nAnswer: -84.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 4*w)*(-8*w + 6*w - 19*w)*(w - 6*w + 3*w) to h*w**2 + u*w + j + d*w**3 and give d.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 - -362. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(128) + -1))**2*4 - ((sqrt(32)*1 - (1 + sqrt(2))*-3) + -5)**2.\nAnswer: -996*sqrt(2) + 8154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -90, -106, -138, -192, -274?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**8\/112 + 3*y**7\/70 - 3*y**6\/20 - 2*y**5\/5 + 6*y**2 + 366. Factor k(q).\nAnswer: 3*q**2*(q - 2)*(q + 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -5\/6*x**3 - 2*x**2 + 0*x - 34 + 1\/24*x**4. Calculate i(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1215 divided by -243.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*r + 149 - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/9462 and 109\/1860.\nAnswer: 2933220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 5*g**2 + 1. Let t be x(-5). Put -1, 5, t in descending order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*x - 10, -3*b + 6*b = -x + 4. Let l = b + 0. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 123 - 229 = 0. Let o = x + 51. Is ((-4)\/6)\/(o + (-96505)\/13785) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y. Let q be c(1). Let x = 13 + q. Suppose x*s - 175 = 5*s. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j - 155. Let y be q(28). Let h = -96 + y. Which is the third biggest value? (a) -0.5 (b) h (c) -5\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3769 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 5, -1, 8 in decreasing order.\nAnswer: 8, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7040 and 0.1853841516.\nAnswer: -7039.8146158484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1190*q**3 + 592*q**3 + 24 - 6*q + q**2 + 38 + 597*q**3 to b*q + y*q**3 + j + f*q**2 and give j.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s**2 - 6*s + 1. Let k be a(5). Suppose h - 6*h = -4*p - 29, -p + 2*h - 11 = 0. Let n = -10 + 5. Put n, k, p in increasing order.\nAnswer: n, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.35 + 1.85. Let g = 16 - k. Let v = g + 1. Round v to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**7\/42 + z**6\/8 - z**5\/6 + z**2 + 8. Let u(i) be the second derivative of b(i). Factor u(c).\nAnswer: -5*c**2*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2. Let c(b) = 21*b**2 + 105*b. Let x(t) = t. Let d(v) = -c(v) + 105*x(v). What is d(s(l))?\nAnswer: -84*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 22202230?\nAnswer: 22202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42.22 + -42. Which is the third smallest value? (a) 1 (b) -5\/4 (c) -3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5851762 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + p + 443003, -5*n + 2*p + 348529 + 94472 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36068?\nAnswer: 2, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 1:08 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*v + 6, -3*w - 5*v + 29 = -0*v. Let u be ((-84)\/(-9))\/(w\/(-36)). Let j be (-18)\/u*(-8)\/6. Which is the closest to 0.1? (a) -5 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*f - 2*t - 12, 3*f = -2*t + 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101275 is divided by 2999?\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5588*v - 2789*v - 41 + 5 - 2797*v.\nAnswer: 2*v - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - 1) - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67 - 3?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 4*z**2 - 13*z - 64. Let m be s(-4). Calculate the greatest common divisor of 793 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(1 + sqrt(304) + 2))**2 - ((sqrt(2736) + (-2 + sqrt(2736))**2)*-6 - (sqrt(2736) - (2 + sqrt(2736) + -4))).\nAnswer: 30888*sqrt(19) + 422090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -33. Let x be (-72)\/(-176) + (-4)\/(1 + -45). Sort w, 0, -2, x.\nAnswer: w, -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 5, f: 3, u: 11}. Give prob of sequence ef.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 9. Let p be a(7). Let v be (-2606)\/7 - p\/7. What is the remainder when v\/(-10) + 8\/(-40) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5709*c**2 + 17174*c**2 - 5690*c**2 - 5698*c**2.\nAnswer: 77*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*l + 45 + 101 = 0, 5*l = -2*x - 146. Let q = x - -127. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 32 = 92. Solve 3*b + m = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267564 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(5 + (-16)\/4). Is -3\/23 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3, 29, 2.\nAnswer: -2, 2, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 2*q**2 + q + 4. Let i be l(-1). Differentiate 15 - 93 + 104*d**4 - 29*d**i - 152 + 11*d**3 - 100*d**4 with respect to d.\nAnswer: 16*d**3 - 54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o - 35*o = 3*d - 14, 0 = -4*o + d + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.6 and -4.4.\nAnswer: 46.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -21.4. Let u be (2 - 0)*1\/2. Which is the nearest to u? (a) 5 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5628*t**3 - 133*t**2 - 14*t + 4. Is y(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/8544 and 143\/6360?\nAnswer: 2264160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -239 + 345. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -130 - 1580. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i - 37. Determine n(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 29522955.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-50284)\/78*2259\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 952403 and 94486.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 4. Let x(r) = 5*r + 306. Let z(g) = 14*g + 867. Let b(n) = 17*x(n) - 6*z(n). Give 5*b(u) + d(u).\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120\/6563 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.08 - -0.08. Let x = -1.5 - -168.5. Let o = x + -169. Does r = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 1.9. Let w = -10 + 5. Let x = w - -4.5. What is the third smallest value in x, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5, 3, 121.\nAnswer: -5, 0, 2, 3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3404471.96 and 4151.\nAnswer: 3408622.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25106?\nAnswer: 2, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3151.\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 8*d - 6 - 4*d + 6*d - 10*d + (-3 + 3 - 2)*(-4*d + 5*d - 3*d) + 2*d + 3 - 3)*(1 + 4 + 1).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3834 and 114310?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22c1 - 33?\nAnswer: 228d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81183680 is divided by 1268495?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*((-45)\/6)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - o - 97. Give v(0).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 0.2, -1, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138497 by -81.\nAnswer: 138497\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 397, 293, 177, 43, -115, -303?\n\"Answer: -r**3 - 97*r + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.679 + 165.479. Let p = -164.796804 + j. What is p rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418539471 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*t**2 - t - 1 - 70*t**2 - 8*t**2 + 2 + 0 - 5*t**4 + 2*t**3 in the form r*t**2 + i*t**3 + c + s*t**4 + a*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12533 + -11501?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*s**4 - 56445*s**3 - 23951*s**2.\nAnswer: -576*s - 338670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298 - 277. Let h(l) = -2*l**3 + 27*l**2 - 16*l + 51. Let c be h(f). What is c rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02744 rounded to 3 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 163702*l. Let g(n) = 4*n**2 - n. Give b(g(w)).\nAnswer: 654808*w**2 - 163702*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**4\/24 - o**3\/2 + o**2. Let a be v(3). Suppose -8 = -a*k - 2*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203098 and 10858?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 - 243. Let u = g - -36. Let x be 5*(36\/(-15) + 2). Which is the closest to u? (a) -1\/4 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.1 - 3.1. Let v = 5 + -3. Which is the closest to 0? (a) 0.02 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -78021\nAnswer: 23\/78021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 80*f**2 - 395*f - 32. Give s(5).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52\/5 of a day?\nAnswer: 14976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 less than 3734.85147625?\nAnswer: 3734.54147625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 14*y + 32 - 72 + 0*y to the form x*y + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-27) - 220\/(-18). Let l be 1\/r + 1\/4. Let t = 5.6 - 5.8. Which is the smallest value? (a) t (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 9, 8173748 + 7336243 = -3*i + 3*x. What is i rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 24*x**2 + 27*x - 133. Calculate v(14).\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -5.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -60, 24, 182, 438, 816?\nAnswer: 1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddu when three letters picked without replacement from {i: 2, u: 1, k: 6, a: 4, d: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*c**2 - 44*c**2 - 39*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - f)*((2*f + 3*f - 4*f)*(0*f**2 - 4*f**2 + 2*f**2) - f**3 - 4*f**3 - 2*f**3) - 2*f**4 + 0*f**3 + 0*f**3 + (-2 + 2 + f**2)*(-1 - f**2 + 1).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -3 + 10\/((-770)\/(-276633)). Let j = -3596 + i. Which is greater: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -1\/4*d**4 - d**2 + 7 + 5\/3*d**3 - 4*d. Determine h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 5. Let o be p\/(-8) - (-94)\/8. Let j be -3 - 5\/(15\/(-18)). Solve n + o = 2*g - 2*n, j*g - n = 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 23.2. Which is the nearest to 0? (a) 1\/4 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 + 10. Let v = u + 148. Solve 0 = -v*o - 4*n + 28, -2*o + 3*n = 2*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-3)*(-2 + 5). Let f be (412\/(-2))\/(6 + c). Suppose -5*n = 4*l - 215, 5*l - 187 - f = -2*n. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 40*h**2 + 307*h - 348.\nAnswer: (h - 1)*(h + 12)*(h + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t. Let n(a) = -14*a**2 + 10*a - 48388. Give n(l(z)).\nAnswer: -1134*z**2 + 90*z - 48388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z + 1. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25743 is divided by 156.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*l**3\/5 - 5667*l**2\/5 - 3330*l.\nAnswer: -3*l*(l + 3)*(13*l + 1850)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 - 2*y**2 - y**2)*(-y - 3 + 3) + (-3 - 2*y**2 + 3)*(0*y - 7*y + 2*y) in the form q*y + r*y**2 + p*y**3 + s and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + 2) - (-23 - -22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:41 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -20. Let h(w) = 19 + 24 - 42 + w**2 + 4*w. Determine h(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3525*h + 144 = 3507*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130*m - 143*m + 159*m)*(2*m**2 - 2*m**4 - 2*m**2).\nAnswer: -292*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333 + 2112?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*q + 8*q = -592 + 558, 2*g + 17 = -5*q for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(1\/2)))**16\/(((d\/d**(1\/4))\/d*d)\/d**(-1\/2)) assuming d is positive.\nAnswer: d**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14\/3 (b) 2 (c) -8\/19 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-4 + (-3171)\/(-126) + -17. Suppose -5*d - 14 = 31. Is b at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31383, -58420, -85457, -112494, -139531, -166568?\nAnswer: -193605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3370 a factor of 506863934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, -4, 32\/7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(99) - (2 + sqrt(99)) - sqrt(99) - sqrt(99)) + 0 + -6*5*(sqrt(33)\/sqrt(3) + -5))**2.\nAnswer: -11016*sqrt(11) + 37665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64799*w - 64897*w + 2646 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -5*p - 2*h - 6, -27 = -3*p - 3*h. Let s(w) be the first derivative of 4\/5*w**5 - 8\/3*w**3 + 8 + 2*w**2 - 2*w**4 + 4*w + 2\/3*w**p. Solve s(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789496980 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/106542527 and 79\/30440722?\nAnswer: 213085054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3053069*o**4 - 8909529?\nAnswer: 12212276*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 4*d + 5. Let r be n(-5). Let m be (1\/(-10))\/(7\/(-70)). Let q(v) = -v**3 - 5*v**2 - 4*v + 2. Let h be q(-4). Solve -3*y + h*y + m = r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 7. Let z be ((-12)\/15)\/((-4)\/50). Suppose 0*s - z = 2*s. Determine t(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 - 275*m**3 - m**2 - 301*m**3 - 279*m**3 + 1113*m**3 - 299*m**3 - 27*m to b*m**4 + c*m**2 + w*m + t*m**3 + a and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122907 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-6)*(-75)\/(-555). Which is smaller: a or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -12, 2, 1\/2, 21, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r + 91*r + 23 - 21 - 2 + 2*r - 4*r + 3*r + (3 - 4 - 1)*(4 - 4 - r) + 0*r + r + 0*r + 0*r + 5*r - 3*r in the form x + g*r and give g.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/7 - 232*y\/7 + 2420\/7.\nAnswer: -(y - 10)*(y + 242)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let v = -13 + 20. Let c be (-9)\/(3 - 0) + 7. Let x(a) = -9*a**2 + v*a**2 - c*a**2. Give x(r(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r + 16 - 70. Let f(l) = 243*l + 53. Is f(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 6810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*j = 184*j + 880. What is the remainder when 740 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 4, s: 7, p: 1, j: 2, q: 1}. Give prob of sequence js.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 2*d**2 + 1500*d**3 - 1501*d**3 + 2*d + 2*d + 3*d.\nAnswer: -(d - 4)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1458*f - 1334. Let s(n) = n + 22. Calculate the remainder when a(-1) is divided by s(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/5*f + 2\/5*f**2 + 0 = 0. What is f?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 953 - 589. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3290429+-3482.19\nAnswer: -3293911.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2783 - 2446. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 2*b**3 + 3*b**3 + 6*b**2 - b**3.\nAnswer: 2*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23768*b**3 + 11425*b**3 + 82180*b**3.\nAnswer: 117373*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.74648 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 + -94. Suppose -52 = 24*x - b*x. Differentiate 29*m + 42*m**2 - x*m - 14 - 17*m with respect to m.\nAnswer: 84*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a - 57*a - 14*a = -135. Let p(s) be the first derivative of 32 + 12*s**a - 15\/4*s**4 + 0*s - 35\/6*s**6 - 10\/3*s**3 + 0*s**2. Let p(m) = 0. What is m?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61192.75 weeks in days?\nAnswer: 428349.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2026, -4055, -6086, -8119, -10154, -12191?\n\"Answer: -h**2 - 2026*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 497*g - 19336. Determine v(39).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1013346906 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 4*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -2\/37, 2\/11 in decreasing order.\nAnswer: 2\/11, -2\/37, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3\/7, -0.0902, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6 - 30 = -f, 3*f + 5*r - 52 = 0. Suppose 3*n = 2*n. Suppose n*z - f = -z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*t = 5, -2*f - f + t - 3 = 0. Let m(z) = -9*z - 8. Let d(c) = 1. Let q(b) = f*m(b) - 4*d(b). What is the derivative of q(p) wrt p?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -3*a**6\/20 - a**4\/12 - a**3\/2 + 36*a**2. Find the second derivative of x(l) wrt l.\nAnswer: -108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-6))\/(6\/24). Suppose 16 = -b*q + 46. Solve 0 = -5*p - 2 - q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10050 and 536?\nAnswer: 40200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, -2\/21, -1\/82?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22454864 and 16.\nAnswer: 22454864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22265567 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -142*w**2 - 2*w - 2. Let j be v(-2). Let f = 984 + j. List the prime factors of f.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 + p + 51. Let x be o(0). Suppose 24 + x = 5*r. Suppose -5 = -5*g + r. Solve -k - g*l - 3 = 2, l + 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o - 23. Let m be j(8). Let b = m - 35. What is the greatest common factor of b and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/3*3 + 2. Let y = w - -4. Let i = 10 + -10. Solve -p - p + y = i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 18*d**2 - 49*d + 74. Let h be l(21). Let x = -15 + 18. Suppose -x*a = 5*z - h, -2*z - 2*a + 206 = 58. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - 3*sqrt(272)) + 0.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 107*t**2 + 207*t + 315.\nAnswer: (t - 105)*(t - 3)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 m when three letters picked without replacement from {o: 1, m: 7, y: 3, f: 1, x: 1}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7 + 20*z + 8*z - 23*z**2 - 2*z**3 - 42*z. Let h = -45 - -34. Calculate the remainder when 43 is divided by i(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103529950 a multiple of 1315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 199537485*k**3 + 56836601 wrt k?\nAnswer: 598612455*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 9*x + 3. Let l be h(-6). Let r(s) = -s**3 - 14*s**2 + 14*s - 8. Let p be r(l). What is the least common multiple of 16 and 3 + 1 - (p - 6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12837448 divided by 4658?\nAnswer: 2756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3834*m - 124 = -3865*m. Let z(s) = -2*s**3 + 6*s**2 + 9*s - 4. Give z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.414543ml to litres.\nAnswer: 0.008414543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2957.257um in centimeters?\nAnswer: 0.2957257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3296, 6590, 9884, 13178, 16472, 19766?\n\"Answer: 3294*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 2*r**3 - r**3)*(r + 0*r - 2*r) + 0*r**4 + 2*r**4 - 3*r**4 - 18 + 18 - 55*r**4 + (0*r - 5*r + 3*r)*(-2*r**3 + 4*r**3 - 3*r**3).\nAnswer: -56*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**5 - 53*v**3 - 448*v?\nAnswer: 20*v**3 - 318*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5815 + -5810. Suppose 6*j + 9 - 183 = 0. Solve r*p = -9 + j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:47 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32166548, -32166546, -32166542, -32166536, -32166528?\n\"Answer: c**2 - c - 32166548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, 141, 4\/87?\nAnswer: 4\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 23, 44, 55, 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 208 + 1?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 2. Let q(c) = -4*c - 2. Let s(k) = 5*i(k) + 4*q(k). Let u be s(-3). Let x = 7 - u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007024189 rounded to 7 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 26*d**2 - 34*d + 299. What are the prime factors of b(25)?\nAnswer: 3, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -6. Let o be (j\/(-2))\/((-10)\/4). Which is the third biggest value? (a) 2\/7 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m - 7 = 47*m. Let i(r) = r**2 + 8*r + 8. Let h be i(-7). Let g be 0\/((4 - h) + -1). Which is the closest to 2? (a) g (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 254 - 95. Let z = 453 - a. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1016828 + 7?\nAnswer: -1016821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620 and 36?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(((q\/(q\/(q**0*q)))\/q)\/q)*q*q*q)**(2\/9)\/(q*(q*q**2)\/q)**22)\/((q\/q**(1\/3))**(-23))**(-49) assuming q is positive.\nAnswer: q**(-816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*x - 7 = -2*f - 149*x, -2*f + 2*x = 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t = -108. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 136*v - 167*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -443, 151244, -4 in increasing order.\nAnswer: -443, -4, 151244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1011111?\nAnswer: 1011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*sqrt(351) + sqrt(39)))\/(sqrt(432) - 5*sqrt(432)*2).\nAnswer: -13*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -904?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/295)\/((1\/(140\/24))\/(468\/(-1092)))?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - n**2 + 5*n. Let r be k(-5). Suppose -5*q = -3*x - r, 2*q - x = -5*x + 56. Let m = 19 - q. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1155 - -1155. What is the nearest to t in 169, -3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.3, -0.04, 113, 3, -3, -0.2, -53?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**3 - m + 17 + 78*m**2 - 213*m**2 - m**3 - 12 + 42*m**2 as o*m**2 + c*m + z + n*m**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 1. Let v(z) = -11*z**2 - 1938. Give v(k(l)).\nAnswer: -44*l**2 + 44*l - 1949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 360771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-20)*(-4)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 127 - 94 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-32)*5\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0118764 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9714722 divided by -16.\nAnswer: -4857361\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 - 4*f + 4. Let l be u(11). Suppose -3*z + 16 - 13 = 0, 3*z = -v + l. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3175 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/(-1) - ((2 - 2) + -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 5*m + 2. Let v be l(3). Solve 4*c - c + 4 = 4*b, b = -v*c + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*v = -4*s - 681, -3*s + 4*v = 1948. What is the units digit of 2\/(-5) + s\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3775 and 2265.\nAnswer: 11325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/393244399 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2920 by -2652.\nAnswer: -730\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/84 - 2\/(-7). Let y be 2*1 - (-3 - -1). Let f = 4 - 3. Which is the closest to f? (a) d (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/(sqrt(30)\/sqrt(6)))\/(-1*sqrt(245)).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 473, 1, 4, 3, 3\/839 in ascending order.\nAnswer: 3\/839, 2\/7, 1, 3, 4, 473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*p = -164*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35 + (2 - 1) + 0. Let d = b - 12. Suppose -4*k + 8 = -16. Calculate the greatest common divisor of k and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32 + -28 - 31\/(-2))*42. Suppose -4*w + x = 4*v - 221, w = -4*v + 1028. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) + 182\/49. Put w, 2, 0 in descending order.\nAnswer: w, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**6\/120 + j**5\/30 + j**4\/6 - j**3\/6 + 12*j**2. Let y be l(3). Solve y*g = -3*p - 8, -6 = 3*g + 5*p + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 25. Suppose -n = -5 - u. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*j + 2*j - 24, 2*i + 5*j - 18 = 0. Suppose -u - 2*u - i*b + 291 = 0, -3*b + 291 = 3*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 - -127. Solve -2*f = k + 1, 2*f + u*f = -5*k + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9 and 6\/15 - 279\/(-165).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611424553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107823413 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*d + 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**3 + 4*u**2 - 9*u**2 + 4*u**2)*(-2*u**2 + 0*u**2 + 3*u**2)*(-2 + 5 - 4).\nAnswer: 6*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 - 145 = -4*w - k, 5*k - 20 = 0. What is the third smallest value in 5, 65, w?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 85*b.\nAnswer: 5*b*(b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 1, q: 3, x: 3, u: 1}. What is prob of picking 1 l and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1495, 11920, 40225, 95350, 186235, 321820?\nAnswer: 511045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Let b be (1 - 6\/4)*h. Solve k = -l + 4, 3*k - 8*k - l + 4 = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y - 5. Suppose -3*m = -5*g + 17, -12 = -y*m + 6*m. What is the units digit of g - 1 - (-6)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8915 greater than or equal to 8916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3428 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4089*p + 14770 wrt p.\nAnswer: -4089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 4. Let g be p(8). Let f = g - -7. Suppose 0 + 3 = f*l. Solve w - 3 = -2*w - o, w + o - l = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3206 - -11.\nAnswer: 3217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127418.\nAnswer: 2, 1063709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61.3 - -1.3. Let v = 601037.09963 - 600977.1. Let d = o + v. What is d rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(14)\/sqrt(2)*6 - sqrt(7) - (sqrt(28) + -5))**2 + ((sqrt(441) + sqrt(49))\/sqrt(7)*4)**2).\nAnswer: 90*sqrt(7) + 5640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -571 or -23406\/41?\nAnswer: -23406\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.1752 + 1258\nAnswer: 1256.8248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {o: 2, r: 1, s: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4185*i + 0 - 2*i**4 + 361*i**2 + 4185*i + 0 wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 74 in decreasing order.\nAnswer: 74, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let u(g) = 359059*g**2 - 2*g - 2. Determine u(w(q)).\nAnswer: 359059*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*y - 15, 3 = 2*s - 5*y. Let g = 5 - s. Put g, 3, -0.3 in decreasing order.\nAnswer: 3, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {z: 1, q: 1, o: 1, s: 6, b: 3, r: 5}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18033647 take away 34240275?\nAnswer: -16206628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*s - s**3 + 18*s - s**4)*(-1 - 2*s + 1).\nAnswer: 2*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2976)\/(-30))\/8*(-190)\/304*4\/2?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-20))\/((-6)\/20). Suppose 0 = 5*a, 2*j - q*a = -0*j. Solve -5*k - 5*h + j = -30, -5*k - 4*h + 25 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 671112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.9 + 34.2. Which is the nearest to 3? (a) 7 (b) j (c) -0.1 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 66. Suppose -30 = -v*d - 10. Calculate the highest common divisor of d and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**6\/300 + 3*g**5\/200 - 2*g - 28. Factor f(n).\nAnswer: n**3*(n + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34158 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 7:46 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1 + 3*m + 0 - m + m**2 - 5. Let h be p(-6). Solve -h = -3*x - x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let c(z) = 23*z - 125. Let k be c(7). Let r be (k\/(-15))\/((-52)\/(-390)). Sort 4, m, r in ascending order.\nAnswer: r, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Let z(s) = -s**3 + 14*s**2 + s + 19. Let a be z(14). Suppose p + 0*p - a = -x*i, -2*i + 15 = p. Calculate the lowest common multiple of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3596 = -13*t + 8*t - 41*t - 12*t. Suppose -l + 2*l = 1054. Calculate the greatest common divisor of l and t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3*a + 17, -14*a = -4*d - 15*a - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 33.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4894 + 4932. Calculate the highest common divisor of k and 969.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 55*i - 1. Let p be g(-2). Let v be 6\/(-16)*2*16. What are the prime factors of (-5)\/20 + p\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idod when four letters picked without replacement from dodjjddmdijdmmdm?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:13 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 5\/4*i**4 + 0*i + 16\/3*i**3 + 0*i**2 - 23. What is the third derivative of v(g) wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -2.03. Let c = -9.2 + 9.6. What is the second smallest value in u, -5, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101212211 (base 3) to base 11\nAnswer: 46363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 6*a - 14. Let g be l(2). Let w(o) = 10*o + 5*o**2 + o**3 + 19 - 16*o**2 - 8. What is the tens digit of w(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 55608?\nAnswer: 55608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 + 99. Let h be 1 + (-1)\/(-4)*-7. Sort h, t, 1\/4 in decreasing order.\nAnswer: t, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45069 and 664?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37\/5? (a) -5 (b) 2\/4959 (c) 0 (d) -3\/2 (e) 6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 1\/8, -0.5, -2\/25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 95, 288, 601, 1028, 1563?\n\"Answer: -v**3 + 66*v**2 + 2*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 40*t + 63. Let o be z(-40). Let a = o - 61. Factor 2\/5*g**a + 8\/5*g + 6\/5.\nAnswer: 2*(g + 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3778 = 32*o - 1822. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (sqrt(3) + (sqrt(6)\/sqrt(2))**2 + -3 + (sqrt(21)\/(1*sqrt(7)))**2 - 2*sqrt(6)\/sqrt(2)*4).\nAnswer: -7*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/21)\/((-6)\/28). Solve -2 = -2*l - 3*s - s, -7 = 3*l - z*s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -20*b + 295. What is j(13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9) - 14\/3. Let g be (-8)\/(-20) - (-7)\/u. Let x = g - -3. Solve -x*j - j + 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0435 - -121.5565. Let n = 124 - s. Round n to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - -6)\/10 - (-6 - 0). Let t be (-16)\/10 + 1419\/215. Solve -t*h - j - 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102444?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221011001020 (base 3) to base 11.\nAnswer: -308a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -82577*z**2 - 2*z + 12. Let w be f(2). What is w rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 48 = -7*x. Suppose 3*d - x = 0, -4*t - 106 = -t + 2*d. Is (-7)\/2*t + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 7) to base 12.\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 0)*(-4)\/(-6). Let n be (-44)\/(-14) + 4\/(-28). Solve -3*f - 2*f + 12 = i*c, 0 = -n*f - 3*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 106137363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from kfffk?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*x**6 - 11*x**4 - 48500*x**3 + 13*x**2 + 1545073*x.\nAnswer: -1200*x**3 - 264*x - 291000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/3)\/(3\/(-2)). Suppose -4*d - 5*w + 118 = 0, -x*d + 59 = -2*w + 9. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1, 2\/19, 4, 0.1, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.012, 0 in increasing order.\nAnswer: -0.012, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n - 22*n + 5*j + 41, 3*n - 4*j - 32 = 0. Solve 0*a - 4*a - 2*c = 28, 0 = 5*a + n*c + 41 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 126 and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 135*a**2 + 3527*a - 9393.\nAnswer: (a - 101)*(a - 31)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -244?\nAnswer: -11\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - d = 2*b + 16, 48 = 4*b + 4*d. Suppose 0 = 4*l - 0*l - 72. Find the third derivative of 3*s**2 + l*s**5 + b*s**6 - 18*s**5 wrt s.\nAnswer: 1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 8.1. Let x = -7 - -4. Suppose -f + z + 0*z = -6, -4*f + 3*z = -23. Which is the nearest to r? (a) 3 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 15*z - 5*z + 52 - 91 + 11 - 7*z + 6.\nAnswer: 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 133995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4532576 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/383, -2, 4, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.902 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(-3)\/36*-6. What is the remainder when 22 + -1 + 6 + s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.5 + -39. Let t = 218 + -218.1. Which is the closest to t? (a) 2 (b) -10 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 629514701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4158*k - 3738042. Determine s(-899).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (219 - 109 - 109 + 7*v**2)*(1 - 1 - 2) as d*v + x*v**2 + z and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:14 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**5 - 6731*m**3 + 7*m**2 + 2108528*m?\nAnswer: 100*m**3 - 40386*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 3\/2*f**3 + 5\/12*f**4 - f - 2*f**2 + 0 - 1\/20*f**5. Give x(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13*t**3 - 2*t**3 + 6 - 6*t**2 - 4*t - 12*t**3. Suppose -z + l - 10 = 2*z, 0 = -3*z + 5*l + 10. Calculate g(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**(-3\/10))**(-15)\/(q**(2\/5)*q*q\/(q*q**(-2\/17)))**(-2\/17) assuming q is positive.\nAnswer: q**(4593\/1445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.02 - 0.53. Let v = y + -2.45. What is the nearest to 3 in -2\/5, v, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.4, -17, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + (6 - (-4)\/12))\/(-7). Sort p, 35, 3\/4, 0.3.\nAnswer: p, 0.3, 3\/4, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 4. Let o(j) = 7677*j**3 - j**2 - 10*j + 20. What is -5*i(k) + o(k)?\nAnswer: 7677*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/4, 1\/11, -4\/5, -393, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 543 + 2?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437289 is divided by 217939?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.015174 and 0.0022?\nAnswer: 0.012974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16 - -1)\/((-86)\/602) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -19*l**5\/20 + 11*l**2 - 11*l - 15. Let h(v) be the first derivative of s(v). Differentiate h(p) wrt p.\nAnswer: -57*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4420.3, -0.03, -2\/365 in decreasing order.\nAnswer: 4420.3, -2\/365, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -581094*0.01.\nAnswer: -5810.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine quarters of a decade?\nAnswer: 1770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 514 = -5*c + 3114, -3*c = 5*n - 1560. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.0209 (b) 0.2 (c) -3\/2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -106011.43142 and 0.06.\nAnswer: -106011.37142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 38*r. Let m(v) = 0*v - 2 + v**2 + 2*v + 2. Let s(z) = z**2 + 3*z. Let c(u) = 3*m(u) - 2*s(u). Give c(h(g)).\nAnswer: 1444*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdid when four letters picked without replacement from {d: 3, z: 1, p: 7, i: 3, j: 1, h: 2}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 7. Let v be t(5). Let p(s) = -46*s - 274. Let o be p(-6). Solve 5*i - 5*f - 15 = 0, -f = o*i + v*f - 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -59*a**2 - 3*a + 4. Let y(x) = 89*x**2 + 4*x - 6. Let n(k) = -8*o(k) - 5*y(k). Is n(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 3, 0.3, 6\/41?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 8*w**2 - 3*w - 6. List the prime factors of o(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/1240170 and -35\/268.\nAnswer: 2480340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 - 94*w + 340. Let y be u(5). Put y, 1, -92 in ascending order.\nAnswer: -92, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - f - 4 = -2, -2*f = 0. Let q = s - -2. Suppose q = -k + 3*j - 6, 0 = 3*k + 2*j - 17 - 20. What is the highest common divisor of 81 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023332 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*w + 204*w + 1476 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyy when three letters picked without replacement from {y: 7, v: 3, w: 2}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48905367*m**2*r**3 + 3*m**2*r**2 + 4180*m**2*r - 27*m**2 + r**2 wrt r.\nAnswer: 293432202*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -452, -450, -448, -446?\n\"Answer: 2*c - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (0 + -11 + 0 - (60 - 72))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d = -81. Let p be 6\/d*6*3. Let f(v) = v**3 + 4*v**2 - v + 3. Is f(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 2459 + 11986 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 + -98. What is the common denominator of (-30)\/297*1*-6 and 26\/8 + 13\/h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -183, -183, -165, -123?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 24*t**2 - 12*t + 5. Let x be p(8). Suppose 7*v - x = 2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100035 - 56048. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.3, 591, 15, -58, -0.1?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sevssejwjeeejsssws. What is prob of picking 1 s and 1 v?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f + 19. Let a be q(-1). Solve 0 = -5*k + a - 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1264, 1261, 1256, 1249, 1240, 1229, 1216?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1399832 and 4?\nAnswer: 1399832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 8:01 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6299867 - -2.63. What is q rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/12 + 1157*v**3\/6 - 44481*v**2 + 523377*v\/2 - 1559745\/4 = 0. Calculate v.\nAnswer: 3, 253, 2055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 40*g**2 - 15*g - 617. Give q(-40).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 4. Let i(t) be the second derivative of -t**4\/12 - t**2\/2 + 2*t. Let a(g) = 5*i(g) + m(g). What is the first derivative of a(o) wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**3 + 3*b**2 - 5*b - 6. Let s(d) = -8*d**3 + 4*d**2 - 6*d - 5. Let r be 45\/9*(26\/5 + -39 + 35). What is r*t(h) - 5*s(h)?\nAnswer: -2*h**3 - 2*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -750 divided by -121\nAnswer: 750\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9492469 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 33*v**2 + 130*v - 19. Determine k(37).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40 + (-33 + -8 - -20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2\/13 (c) 8 (d) 159 (e) -0.4 (f) -7\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 0, -4, 2 in descending order.\nAnswer: 40, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -43 + (69 - 25).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 5*s**2 - 142*s - 94. What is the derivative of o(z) wrt z?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = 2*c - 2*p, p + 1 = -c. Let i be 3*(-17)\/(-15) - 4. Sort i, 0.4, c, 1\/10 in descending order.\nAnswer: c, 0.4, 1\/10, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -84 + 45 - 32?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 75, 100, 125, 150?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 21*a**2 + 42*a + 29. What is q(-10)?\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -93*z - 2664. What is j(-31)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -55*m + 60*m + 8, 2*d + 2*d + 306 = -157*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/16*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 21879*v + 524536. Calculate t(-24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.2. Let g = -46.6792 + -0.0208. Let x = g - -45.7. Which is the nearest to 0.2? (a) 1 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + 2 + -5 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:04 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 9:03 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 4, -4, 731?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 + f. Let u(r) be the first derivative of 3*r**4\/2 - 5*r**3\/3 + 5*r**2\/2 - 5. What is -5*g(z) + u(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 9*n - 5*n to the form b + u*n and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - v + 0*v**2 + 21 + 0*v**2 + v**2. Suppose -7*t = -8 + 8. Give a(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 4, c: 3, k: 5, l: 1, e: 1}. Give prob of sequence ek.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/28 + 8\/28)\/((-23)\/(198 + -14)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3260847?\nAnswer: 3, 29, 37, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.094 - -42.906. Let l be 2\/(-12) - 606\/(-1260). Let p = -3\/5 + l. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/35 + 24\/35. Let m = -245536\/9 - -27282. Which is the second smallest value? (a) d (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/2)\/(0 + 11\/((-55)\/(-20))). What is g in 0 + 0*g + 1\/4*g**4 - h*g**2 - g**5 + g**3 = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.972357 rounded to 2 dps?\nAnswer: -129.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 1, 0.4, 0.1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j. Let w(f) = -21247*f + 1. Calculate w(o(h)).\nAnswer: 42494*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132930437.\nAnswer: 1847, 71971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2643*b - 143911 - 43445 = -960*b for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130324187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43451602\/77 - 564294. Let z = -144\/11 + v. Which is the third smallest value? (a) z (b) -3 (c) 9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 20*d**2 - 17*d - 30. Suppose 27*u - 473 = -5*r, 97 = 46*u - 43*u - 5*r. Calculate l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000576 to 6 dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-5)*((-30)\/260)\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 15*t - 147. Calculate the lowest common multiple of t and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/20 - 7\/4. Which is the smallest value? (a) 0.4 (b) 1.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2299723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 276 = -4*b. What is the lowest common multiple of -21 + 29 - (-1)\/(2 + -1) and b?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (5 + -7 - -11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4356, -509, 3, -2 in descending order.\nAnswer: 3, -2, -509, -4356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 + 24*b**3 - 7*b**3 + 0*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 380, 735, 1090, 1445?\n\"Answer: 355*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(3\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*f - 54 = 0. Suppose -7*g = -f*g + 40. Suppose 0 = 2*o - 0*o. Solve -5*v + g = -s, 3*v + o*s = 5*s - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2468*y + 826*y + 817*y + 821*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8547 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 2 = -5*l - v, -3*v - 11 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228864 is divided by 321.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w*w*(w*w**41)\/w)\/w)\/w)\/(((w**(-3)*w)\/w)\/w))**50)**(-9\/5) assuming w is positive.\nAnswer: w**(-4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26426610659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -5871 and 2\/149033 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 5*u + 2. Let i be h(-5). Let s = -14 - -18. Let 0*m + 4*m**s + 2*m**3 + 0*m + i*m**5 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 416, 249, 82, -85?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/6)\/((-453)\/(-9)). Let v be (-30 - 244608\/(-8154))\/(2\/5844). Let w = v - j. Are w and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + r - 865 + 815, 5*r + 2 = -c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(sqrt(1700) + 1)*-6)**2*1.\nAnswer: 34560*sqrt(17) + 2939328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1934 + 4773. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2061*h - 2059*h + 6 = 0, 1 = 4*t - 5*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.211, 2\/5, -5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w + 3. Suppose 3*n - 18 = -3*p, -4*n + w + 29 = 2*p. Suppose -15 = -d + n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:20 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -25566\/5 not equal to -5112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 6, l: 4}. Give prob of sequence dql.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29924\/9 + 3331. Calculate the common denominator of -27\/8 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -406, -414, -422, -430, -438, -446?\n\"Answer: -8*m - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 16 + 7 - 3*t**2)*((4*t - 4*t - t)*(3 + 2 - 4) + 2*t + t - t)*(-4*t - t + 0*t).\nAnswer: 15*t**4 - 25*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 508 = -2*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102380*y**4 - y**2 - 83*y + 113 wrt y.\nAnswer: -2457120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 + 2*i - 5. Let a be b(2). Let q be -6*(5\/a - (-213)\/(-10)). Suppose z - q = -o, z + o - 5*o = 134. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1729 and 0.3?\nAnswer: 0.4729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-6)*d**19)**(-35))**(4\/23) assuming d is positive.\nAnswer: d**(-1960\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 365 = 86*p. Sort p, 105, 2.\nAnswer: 2, p, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -1 + 5. Suppose v = 4*t - 0*t - 24, j*t = 5*v + 12. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 168\/70*5\/(-2). What are the prime factors of (q - -3)*-2 + 604?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/5)\/(16\/40). Let i = 1 - k. What is the third derivative of -3*t**3 + 3*t**3 + i*t**2 + 0*t**4 + 4*t**4 wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.561 + 2.439. Let m = -2 + 2.1. What is the fourth biggest value in 2, h, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14*y**3 - 3*y**2 + 4*y + 9. Let r(z) = -3*z**3 - z**2 + 2*z. Calculate -d(n) + 5*r(n).\nAnswer: -n**3 - 2*n**2 + 6*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 1:18 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**3 + 47*h**3 + (-2*h - 2*h + 3*h)*(-h**2 - 2*h**2 + 2*h**2).\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1097, -1098, -1099, -1100, -1101, -1102?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**4 + 29*t - 1148*t**3 - 5*t**4 + 940*t**3 + 18 wrt t?\nAnswer: -12*t**2 - 1248*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 7*j + 4. Let h be o(-8). Solve 2*r + h = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c + 78 = 0. Let o = 85 + c. Suppose -4*h = -7*h - 5*i + 207, -h + o = 5*i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 0 - (13 + -17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 7 = 2*w + 28, 5*m = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 380, -624\/11, -4, -15\/11 in descending order.\nAnswer: 380, -15\/11, -4, -624\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.12 (b) 2\/9 (c) -43 (d) 195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13\/(455\/(-42))*2)\/(8\/(-20)). Solve 4*k + 1 = m + 4, -3*k = 3*m - h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/663 and -91\/15402.\nAnswer: 200226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41148128 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 44*h + 148. Let c be k(-18). Let l = c - -379. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(17) + (sqrt(17) + -2 - sqrt(17)) - sqrt(17) - sqrt(68)\/sqrt(4)*-6)**2.\nAnswer: -84*sqrt(17) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-125 - -26 - -82) + (-1 - (-12 - -3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-12)*(-3)\/((-105)\/(-4))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -564 + 569. Calculate the smallest common multiple of 130 and d.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 12:13 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2025\/4 + -489. Find the common denominator of 35\/96 and w.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 892440 and 1560.\nAnswer: 11601720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4567925.8 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/4851)\/(1\/(-7)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*p = 10, -2*p + 2 = -2*q - 4*p. Which is the third smallest value? (a) q (b) 5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247114 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1094 by 46.\nAnswer: -547\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*u**3 + 3*u**4 - 4*u - 2 + u**3 + u**3 + 2*u**2 in the form l*u**2 + t*u**3 + c*u**4 + g*u + z and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 120 + 239 + 3522380*i.\nAnswer: 3522380*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + 0*q)*(2 - 3 + 2)*(2*q**2 - 5 + 5).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 38, 52, 72?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 3290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = 3*u - 120, 195 = 5*u + 5*j. Suppose -l + 20 = x, 0 = -2*x + 4*x + 3*l - u. Calculate the remainder when 46 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/(20*(-3)\/(-25))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 12755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3978755677 to the power of 1\/2, to the nearest integer?\nAnswer: 63077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5838504.\nAnswer: 2, 3, 7, 23, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -34 - 34. Calculate the remainder when 48 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*l**3 + 533*l**2 + 197622 wrt l?\nAnswer: -39*l**2 + 1066*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -8899.\nAnswer: 2\/8899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 3*a**3 + 4*a**3 + (69*a**3 + 106*a**3 - 25*a**3)*(2 + 14 - 4) - a + 2*a**3 + a.\nAnswer: 1804*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-6 - -3) + 2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.7. Let z = 1.375 + 0.125. Let j = z + r. What is the third smallest value in j, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eius when four letters picked without replacement from seuceeuuuic.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4793110 or -4793258?\nAnswer: -4793110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 214984*k**3 + 2*k**2 - 4898*k - 39 wrt k.\nAnswer: 1289904*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3)**(-13) assuming a is positive.\nAnswer: a**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 254, 380, 506, 632, 758?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s - 4 + 3)*(3*s - 3*s + 2*s) + 276*s**2 - 588*s**2 + 279*s**2 + s**2 + 2 - 2 + (-5*s - 2*s - 2*s)*(-2*s + 0*s + s).\nAnswer: -21*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 1\/2 (c) 1.8 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/7 - 3706*q**4\/7 - 14802*q**3\/7 - 2642*q**2 - 7396*q\/7 = 0. Calculate q.\nAnswer: -1849, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15448 is divided by 1891?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**2 + 2*n - 2*n)*(0*n - 2*n + 4*n) + (36*n**3 - 8*n**3 + 65*n**3)*(-1 + 2 + 1) to the form w + q*n + s*n**3 + o*n**2 and give s.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1987, 1808, 1457, 892, 71?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 14*n + 9. Let c be t(14). Let l be 3 + (-38)\/c - -1. Put 0.5, 5\/2, l in decreasing order.\nAnswer: 5\/2, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**7\/210 - m**5\/20 + 2*m**2 - m. Let z(v) be the first derivative of l(v). What is the third derivative of z(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:14 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6969 is divided by 633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b370 (base 13) to base 3.\nAnswer: -2201011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4\/3 (b) 6.29 (c) 2\/17 (d) -4 (e) -0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -667 + 27921.\nAnswer: 27254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 134 - 241a?\nAnswer: -22b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -10*u - 1660. Let h(i) = -i**2 + i - 54. Let v be h(0). Let z = v - u. List the prime factors of z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -392, -394?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*x - 96*x - 56. Suppose 3*i + g = 11, 15*g + 16 = 3*i + 11*g. Solve 3*q = -i*q - x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6 = 4*t. Let b(f) = 6 - 4*f - f + 2*f - f. Let g be b(t). What is the highest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29127 and 2580333.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/6693 and -197\/3413430.\nAnswer: 3413430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 168737499 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 792, -178, -1148, -2118, -3088, -4058?\nAnswer: -5028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 6*x - 4*x. Let f = 9 - x. Suppose -11 = -3*d + 40. Calculate the remainder when f is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 629\/15600 - 11\/400. Let a(m) be the second derivative of -10*m + 0*m**2 + d*m**4 - 2\/39*m**3 + 0. Factor a(z).\nAnswer: 2*z*(z - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -3\/542484991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/4)\/((-6)\/(168\/(-70)))*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose 4*v + 4*g = 12, 0 = v + x*g + g - 18. What is the nearest to 3 in 4, -5, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + 244?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285870501?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(-9)*s*s*s))\/((s**(-5\/4)\/s)\/s))\/(s\/((s\/(s*(s\/s**(-2\/3)*s)\/s*s))\/s))**20 assuming s is positive.\nAnswer: s**(-1237\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000277217 to 7 decimal places.\nAnswer: 0.0000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times 19?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 21 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 2 = 3*l + 5*y, 3*y = -15. Suppose 0 = m - 4*c - 30, c - 142 = m - 4*m. Suppose -3*k + k = -m. Calculate the remainder when k is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*o**4 - 4033*o**3 - 1395*o**2 + 12*o + 2.\nAnswer: -144*o - 24198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n**2 + 4. Let i be x(-3). Let u be 20\/(-50) - i\/(-5). Let q(t) = -t**3 + 5*t**2 - 6*t + 3. What is q(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 9) to base 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305841?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 s when four letters picked without replacement from sbsbiiib.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 0.4 (c) 5\/3 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -353\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 539.991067 and 0.07855?\nAnswer: 539.912517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/720 - g**5\/60 - g**4\/6 - 3*g**2. Let j(s) be the second derivative of v(s). Differentiate j(d) with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 48.167 (b) -0.8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -105696.\nAnswer: 105696.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 12:53 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3022\/3 + -9068\/9. Put 0.3, n, 0.8 in increasing order.\nAnswer: n, 0.3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/15 + (-30)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 9, c: 2, w: 3, t: 2}. Give prob of sequence wcw.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167 and 18203.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3889, -7608, -11325, -15040, -18753, -22464, -26173?\n\"Answer: a**2 - 3722*a - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1681*w + 14625*w + 10904*w + 4578*w to the form o*w + m and give o.\nAnswer: 31788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7254 = x, 309*r + 3*x = 310*r - 1797. What is the lowest common multiple of 66 and r?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (6\/(-75) - (-678096)\/(-6925))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 0.178664?\nAnswer: 0.178664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = 2*y + 3, 2*y - 17 = 3*m. Suppose -4*t - 2*l = -0*l - 970, y*t - 969 = -l. Let q = t - 103. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1633, 2848, 3661, 4072, 4081, 3688, 2893?\n\"Answer: -201*z**2 + 1818*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*1\/1 + 4 + -3. Suppose q*b = d - 8, b - 8 = -d - b. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 4:57 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/3 (b) -82 (c) 0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/65 (b) -3 (c) -0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 5*z**2 + 6*z - 6. Let t = 14 + -10. Let i be v(t). Calculate the common denominator of 49\/3 and (-19)\/5 + (-1)\/i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 - 6*b**2 + 4*b**2 - 9*b**2 to d*b + x*b**2 + h and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49\/5 of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1514976 and -38237.451.\nAnswer: -1553213.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 111301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1450, -1452, -1454?\n\"Answer: -2*o - 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(484\/(-99))*2\/18.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3*(3696\/126)\/(-88)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 488 + -486. Find the third derivative of -152*s**5 + 48*s**5 - 622*s**2 + 513*s**j wrt s.\nAnswer: -6240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(567) - (sqrt(567) + (sqrt(567) + -1*sqrt(567))**2) - sqrt(567) - (sqrt(448) - (sqrt(448) + 1)))*1.\nAnswer: -45*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 1, n: 3}. Give prob of picking 2 n and 1 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-492)\/(-574) - (12\/(-4) + (-51)\/(-35)). What is the fourth smallest value in 8, 1\/4, 4, b?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 291 (b) -101 (c) 2 (d) -0.2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -4*(sqrt(847) + sqrt(847)*-2) + -1 + sqrt(847) + 5 + sqrt(847) + -5)**2 + 2*sqrt(56)\/(sqrt(1152)*1)*4.\nAnswer: -460*sqrt(7)\/3 + 41504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 73. Factor -11\/2*o**3 + o**2 + 0*o + 8*o**4 + 0 - 7\/2*o**j.\nAnswer: -o**2*(o - 1)**2*(7*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16\/67 - -514\/469. What is the closest to 2\/3 in -5, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -12, -1017*w + 1014*w + 179695 = h. List the prime factors of w.\nAnswer: 89, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from {l: 1, k: 13, f: 3}?\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 34 - 40 - a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*4\/8 - -1. Suppose u - 6 - 47 = g. Calculate the remainder when u is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:13 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzbppibpwiiwo. What is prob of sequence wi?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (9 - (3 - -4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29798 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((25 - 25 - 3*j)*(-3*j + 4*j + 0*j) + 11*j**2 + 13*j**2 - 8*j**2)*(17*j - 7 + 7).\nAnswer: 221*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, and 1 m when three letters picked without replacement from tahrttvtamttattththt?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1308 - 1287.99. Let z = y - 0.01. Let a = z - 19.9915. Round a to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 - 12 = 0. Suppose 0 = -2*t - j + 25, 5*j + 1 - 6 = u*t. Suppose 0 = -z - 4 + 9. Calculate the highest common divisor of z and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*w**3*y**2 + w**3*y - 17*w**2 - w*y**4 + 3*y wrt y.\nAnswer: -44*w**3 - 12*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:56 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + -27 + (-20 - -40).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56724097767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 76*g + 7. Determine n(-17).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-243)\/(-36) - 6 - 33\/60. What is the nearest to 0 in -2, 0.065, n?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 12*p**2 + 12*p + 13. Let c be u(11). What is the greatest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*z - 270*z + 30450 = 0 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/63*-3*-12*(-21)\/56.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -427*g**4 + 7*g + 1125*g**4 - 411*g**4 - 425*g**4 + 6957 wrt g.\nAnswer: -552*g**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 26*x**2 + 32 - 19 + 14*x**2 + 16*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t + 2*t. Let g be (4 + t)\/1*1. Put g, 3, -3 in descending order.\nAnswer: 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 253916, 253922, 253938, 253970, 254024, 254106, 254222, 254378?\n\"Answer: w**3 - w**2 + 2*w + 253914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*c - 879. Suppose 2*n - 1989 = -c. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 31010?\nAnswer: -31003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7*m = -9. Suppose -m*h + 12 = 2*f - 10, -4 = -4*f + 4*h. Solve -12 = -f*i + 3*u, 0*u = 3*i + u + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(704) + 0 - (sqrt(704) + 3*(sqrt(704) + -1)))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -110 - 1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52391088 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23123122 (base 5) to base 10\nAnswer: -207912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23579 and 831470.\nAnswer: 15797930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42792 and 381.\nAnswer: 5434584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - (-108)\/20)\/((-47)\/(-294455)). Is h greater than or equal to 2510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159611 + 99378. Is f\/(-5) + 16\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 + 7*y**2 + 2*y. Let n(v) = -2*v**3 + 3*v**2 + v. Suppose p = -4*p + 15. Calculate p*r(s) - 7*n(s).\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 869, 671, 469, 263?\n\"Answer: -2*z**2 - 192*z + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2572928 is divided by 42882.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -7\/2*l**2 + 0*l**3 - 7\/6*l**6 + 0*l**4 + 17 + 0*l + 0*l**5. What is the second derivative of b(d) wrt d?\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1488 in -2, 1\/9, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -903.31174 to the nearest 10.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -540 + 1324. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 - 3)*(3*p**5 - 2*p**5 + 184*p**3 - 179*p**3 + 2*p**4).\nAnswer: -10*p**5 - 20*p**4 - 50*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**4\/24 + t**3\/6 - 17*t**2. Suppose -7*m - 3 = 18. Let u(i) = -5*i + 4. Determine m*a(j) + u(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 659553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - 5*b**3 + 5*b**3)*(6*b - b - 3*b) + 80*b**5 - 2*b**3 + 74*b**5 + 2*b**3.\nAnswer: 156*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 750162.3ml in litres?\nAnswer: 750.1623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3*p)\/p**(1\/6))**(37\/2)\/(p**(5\/4)*p**(1\/4)*p*p*(p\/(p*p**(3\/2)))\/((p**(3\/2)\/p)\/p)) assuming p is positive.\nAnswer: p**(821\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 11*r = 60 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o + 3*o. Let a(s) = 6*s + s**2 + 4 - 5*s**2 + 3*s**o. Suppose 8*z + 14 = 62. Determine a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)\/p)**42*p\/(p*p\/(p*p\/p**(-5\/8)*p))*p**3*p)**30 assuming p is positive.\nAnswer: p**(-7605\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(2100) + (sqrt(2100)*2 - sqrt(2100))) + sqrt(2100))*3)\/(-3*(sqrt(56)\/sqrt(2) - sqrt(14)\/(sqrt(2)*1))).\nAnswer: -130*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 546 and 3042?\nAnswer: 21294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3145183.3 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/60945360 and -46\/15?\nAnswer: 60945360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 43. Let o be 5\/y - (-7)\/(-42). Let m be (-6)\/18 + (-11)\/3 + -1. Which is the second smallest value? (a) 4\/7 (b) m (c) o (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/48)\/(4\/8) + 212\/(-1232). Which is bigger: s or -3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o. Let j(a) = -181179*a + 70. Give m(j(f)).\nAnswer: -543537*f + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -8047084?\nAnswer: -8047086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9033a - 2?\nAnswer: 90338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4372.7 + -4372. Which is the closest to 2? (a) k (b) 52 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2332 = 13*g. Let z = -210 - g. Solve -z*c = 3 - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 1677\/65)\/(4\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.8904 rounded to 1 decimal place?\nAnswer: 99.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + 8. Suppose 0 = 4*h + 3*g - 5, -4*h = -3*h - 4*g - 25. Let n(q) = -3 - 3*q - 1 - 1. Let i(o) = -o + 4. Let a be i(-4). What is a*n(v) + h*m(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13961493 and 17950491.\nAnswer: 125653437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**2. Let b(v) be the second derivative of v**4\/12 + 11*v**3\/6 + 217*v. Give k(b(p)).\nAnswer: 11*p**4 + 242*p**3 + 1331*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(5 + 1\/(-1)). Find the common denominator of 1443\/(-270) + (2\/(-5))\/(-1) and 7\/6*c\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 54a25784?\nAnswer: 54a25780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -112323014 (base 5) to base 2\nAnswer: -1111100110000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121212 - 1?\nAnswer: -1121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)\/(h\/h**(-2\/25))*h*h**(8\/5)*h*h*h**(-2\/9))**42 assuming h is positive.\nAnswer: h**(25501\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/(-63) + (-2)\/(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -7, -26, -61, -118?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 + -6. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 94*d + 273.\nAnswer: (d - 91)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11365917565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2561\/138 - -9\/23. Find the common denominator of 113\/20 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/21? (a) -0.2 (b) 0.03 (c) 26 (d) -2 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + 0*a)*(-4 - 2*a + 4) + 2*a**2 - 3*a**2 - a**2 + ((-5*a + 4*a + 0*a)*(3 - 4 - 1) + a + 2 - 2 + 13*a - 24 + 24)*(0*a + 3*a - 2*a).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 k when three letters picked without replacement from mrqjjjukjjmmqjjmjqqj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/13 - 35\/78. Let o(z) = -4*z - 26. Let q be o(-7). Sort q, x, -3\/5 in decreasing order.\nAnswer: q, x, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2655518017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**3 + 3979*g + 29910?\nAnswer: -3*g**2 + 3979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*r - 8, -3*g = -2*g - 1. Let t be 1\/(-4) + r\/4. Suppose -5*u - 4*n = -12, -3*n - 12 = 5*u - 7*n. Sort t, u, -4.\nAnswer: -4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.2 - 32. Is z bigger than -19\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 13*r - 2. What is the remainder when h(17) is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858 and 319722?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.88 - -0.12. Let j = -11 + i. What is the third smallest value in 5\/3, j, 0.5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138420 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 + q**2 + 3*q - 2. Let i be y(2). Suppose 5*h - 3301 = -1061. Let g = h - 465. Is g smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = -4*o + 16, -2*o = 4*x. Let d = o - 2. Calculate the least common multiple of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.92355594 rounded to 2 decimal places?\nAnswer: -54.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 6837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -0*z - 3, 8*r - 4*z = 4*r - 26 - 26 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -64. Suppose -11*m + 22 = -0. Suppose 5*c - 148 = c + 3*y, m*y - 185 = -5*c. Calculate the remainder when c is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5363 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2 - 3 = 0. Suppose -h + 3*w - 14 = 0, 4*h = -5*w - 3 - 2. Sort -3, b, h.\nAnswer: h, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 2*i - 21*i - 10*i.\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2 + 4 + 0*h**2 - 3*h**2 + h**3. Let o be n(3). Suppose 0 = 5*m - o*m - 450. What is m rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 2*j**3 + j**3 - 15*j**2 to w*j**3 + q*j + b + i*j**2 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 6*m - 5. Let b be s(7). Suppose 4 - b = z. Let q(n) = -n + 8. Let o be q(6). Solve 4*t - o*w + 6 = w, 2*t + z*w + 10 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 - -240. Let p = g + -61. Differentiate 15*k**3 + 2 - p + 2 with respect to k.\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021386719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34893007?\nAnswer: 179, 194933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a gram in milligrams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*i - 259 + 313 = 0, i = 10*b + 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 8579.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 12) in base 16?\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - l - 2. Let g be w(-3). Let s(k) = g - k + 0*k + k**2 + 0*k**3 - k**3. Is s(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000334121 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-21) + 0\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20330039\/85 + 239174. Let d = r + 60\/17. Put -5, -1\/6, d in increasing order.\nAnswer: -5, -1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/120 + 7*b**5\/60 + 11*b**4\/24 - 2*b**3\/3 - 14*b**2. Let w be p(8). Solve n - 16 = -3*n - 4*y, 5*n = -3*y + w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6498*m**3 + m**2 + 62*m - 128. Does 144 divide i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 78, 161, 256, 369, 506, 673?\n\"Answer: y**3 + 76*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 524?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -458*a**2. Let c(t) = -72*t**2 - 2. Determine c(y(h)).\nAnswer: -15103008*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 10. Let k(t) = -4*t + 11. What is -4*k(z) - 5*n(z)?\nAnswer: -4*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 2*h - 1. Let x be r(0). Calculate the least common multiple of (0 + x\/2)*-12 and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 292 = t, -5*t = 5*o - 500. Suppose 0*j = 4*m + j - 121, -3*m + j + o = 0. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/4212 and -59\/328068?\nAnswer: 2952612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76034048?\nAnswer: 2, 19, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r. Let x(a) = a. Let m(o) = -6*d(o) + 26*x(o). Let t(i) = 23*i - 7. Determine t(m(w)).\nAnswer: 46*w - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + r + 38*r**2.\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/12*8\/(-12). Let d be ((-3)\/(-15)*5)\/p. Which is the nearest to d? (a) 5 (b) 9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s - 87. Calculate f(12).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:48 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 7077\nAnswer: -7077.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30747 + 30736. Let f(a) = -6*a**3 + 11*a**2 - 135*a - 11. Let k(b) = b**3 - 2*b**2 + 27*b + 2. What is z*k(x) - 2*f(x)?\nAnswer: x**3 - 27*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((1 + sqrt(128))*3)**2 + sqrt(128) + sqrt(128) - (-1 + (sqrt(128) - -3*sqrt(128))))*3.\nAnswer: -10458 - 1152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.65 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 6. Let t be (r\/(-6))\/(1\/6). Suppose 4*q = t*q - 124. Is q 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 21\/47188 and 57\/107428?\nAnswer: 5049116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -17838000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.4069 to one dp.\nAnswer: 36.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**7\/840 + u**6\/120 + u**5\/40 + u**4\/24 - u**3\/6 + 6*u. Let t(x) be the second derivative of w(x). Solve t(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1648 and 796293?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -729, -1460, -2191?\nAnswer: -2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (4 - 4) - (-24 + (3 - 1))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v + 205. Let k = -387 - -344. What is the tens digit of n(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 2*i. Let z be f(-2). Suppose u + 0*y = -2*y - 3, z*u - 15 = y. Let w be 6\/(-18) + 1\/u. Let t(g) = -g + 6. Give t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 133311763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - a - 4, 4*a - 16 - 8 = -2*h. Suppose -427 = -2*n + 5*s - 95, -h*n = 2*s - 616. What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55\/4 - 13. Let g = 450\/7 - 64. Which is the nearest to 0.1? (a) 4 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2)*p\/p**(1\/4))\/(p**(-2\/9)\/p**(6\/5)) assuming p is positive.\nAnswer: p**(121\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1386, 2887, 4500, 6225, 8062?\n\"Answer: 56*l**2 + 1333*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359319, 1437264, 3233847, 5749074, 8982951?\nAnswer: 12935484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a**3 - 7*a**2 + 3*a + 7. Let n(j) = 3*j**2 - j - 10*j**3 + 6*j**3 - 3 + 0*j. Let k(f) = 7*n(f) + 3*o(f). Find the second derivative of k(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 4. Let t be m(0). Suppose 134 = t*q + 26. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 4*p + 6. Let w(r) = r**2 + r - 4. Let o be w(p). What is the units digit of (3\/o)\/((-3)\/(-44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) -9 (c) 2 (d) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 341*i - 348. Calculate r(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-29)\/((-783)\/(-126))).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = -4*k + 5*k. What is the highest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 11:31 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13868868 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 43545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 574.87 + -573.64. Suppose m + 5 = 3. Which is the second biggest value? (a) h (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.01 and 9.7?\nAnswer: -9.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**3 + 473*o**2 + 114*o - 430. Give j(-118).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 63601*d**2 - 699608*d - 24. What is i(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 9*b - 68 + 2*b - 152 + 220.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 428827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 103462, 1, -735 in decreasing order.\nAnswer: 103462, 1, -735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 5 + 8 + 105 - (-9)\/(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*p + 706*p - 421 = -18387 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 20, 2, -1 in decreasing order.\nAnswer: 20, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 4745.55473716?\nAnswer: 4741.55473716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-15)*6\/2. Let q(g) = 3 + 18 - 15*g - 46 - 30. Let v(j) = 3*j + 11. Let i(b) = f*q(b) - 11*v(b). Differentiate i(n) with respect to n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -4*l + 4*j - 100 + 216, 5*l + 4*j - 11 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447 + 445 + 450 + 15*s**2 - 1342.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28447, -56916, -85385?\nAnswer: -113854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4592 divided by 109941.\nAnswer: -4592\/109941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/2))**35\/((h*(h\/(h\/(h*h**1)))\/h*h*h)\/h)**48 assuming h is positive.\nAnswer: h**(-183\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpb. What is prob of sequence bp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 5:43 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 26*r - 46*r + r**3 - 2*r**3 + 5*r**2 + 5 + 26*r. Let z = -21 - -36. Let j = 21 - z. Calculate w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 4*r - 5. Determine p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 3*j + (-j - 3*j + 3*j)*(-4 + 3 + 2) + 2*j - 2*j + 2*j)*(-17859*j**3 + 4*j**4 + 0*j**4 - 13 + 17862*j**3).\nAnswer: -4*j**5 - 3*j**4 + 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/120 - 4*u**5\/15 - 19*u**4\/24 + 20*u**3\/3 - 10*u**2 + 3. Let s be n(17). Put s, -3, -4 in decreasing order.\nAnswer: s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*((-12)\/(-9))\/4)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-264)\/(-18)*(-6)\/4. Let m = 5 - d. Let b be m\/6*(-8)\/(-6). Calculate the highest common factor of b and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 27651496?\nAnswer: 27651496","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2))**(-3)*(w**0\/w)\/w*w*w**(-2\/5)*w)**(4\/15) assuming w is positive.\nAnswer: w**(52\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2990733149246 - 1.7\nAnswer: -1.9990733149246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*13\/182)\/(4\/(-14))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-1))\/(1\/(-5)). Let o(p) = -p**2 - 5*p + 6. Let f be o(-5). Let u = 9 - f. Solve 5*x - 30 = l*m, -u*m + 0 - 10 = -x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 5*p)*(0 - 5 + 0)*(-48*p**2 + 49*p**2 + 0*p + 6*p - 2).\nAnswer: -20*p**3 - 120*p**2 + 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -31*p - 27*p + 5*p + 4*p. Let q(w) = -13*w**2. Calculate k(q(m)).\nAnswer: 637*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -10953, -5, 0.4, 580?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/14 - -1\/2. Let l = -2 + 1.8. Which is the closest to p? (a) 0.4 (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36356778 rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1850014 is divided by 1126.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/258 and -2*20\/165*30\/(-8).\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*(-27)\/(-6)*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*((sqrt(1100) + 1)*-2*2 + 2))**2*4.\nAnswer: -422496 - 3840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.1. Let n(x) = -x**2 - 4*x - 2. Let g be n(-5). Let y = -7 - g. Is y less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + (-88 - -84) - (-5 - 4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.1 + -35. Let a be (-35)\/30*5\/(105\/4). Let x(j) = j**3 - 6*j**2. Let y be x(6). Sort u, y, a, 4\/5 in decreasing order.\nAnswer: 4\/5, u, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 4*l - 480 = 0. Is -60 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 + 32*o**2 - 6*o + 132. What is v(-11)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000185 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 23.48. Let m = -2.5 + w. Which is the second smallest value? (a) 3 (b) -0.2 (c) m (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(12)\/sqrt(3)*5) + -4 + sqrt(22)\/sqrt(2)*-4)**2.\nAnswer: 152*sqrt(11)\/5 + 4371\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 10a458?\nAnswer: 10a467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 - (3 + -2 - 1). Let p be (-8)\/(-10)*(-25)\/b. Which is greater: p or 4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -1, 86, -1744?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 6 = -z. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = o + 17, 5*p - 18 = -7*o + 6*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a*k**4 + 124*a*k - 7*k**5 - k**2 + 2*k wrt k.\nAnswer: 60*a*k**2 - 140*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -17*d**4\/24 + 2*d**2 + 10. Let y(i) be the third derivative of i**5\/60 + i**2. Give k(y(j)).\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 559, 3800, 9717, 18310, 29579, 43524?\n\"Answer: 1338*x**2 - 773*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-3)*(-937080)\/26304?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/13 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46777, 186948, 420575, 747664, 1168221, 1682252, 2289763, 2990760?\nAnswer: 3785249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*o - 2. Let h be -1 - (-2 - (o - -2)). Let d(p) = -2*p**2 + p + 6. Let r(g) = g**2 - 3. Let x(n) = 2*d(n) + 5*r(n). Give x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 142 or 141?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 6)*(4*v + 2*v - 5*v) - 6*v - 22*v + 11*v - 4*v + 2 - 2 + 4 - 4 + 2*v)*(-5*v**3 + 3*v**3 + 3*v**3).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13217?\nAnswer: 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -3*b, 0 = -3*m + b + 4*b - 7. Suppose -4*l + 22 = 3*i, 3*i = -2*l + 13 + m. Suppose -l*w + 0*w + 12 = 0. Solve 2 = -u + w*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -489*z**4\/4 + 1602*z**2 + 496. Find the second derivative of l(a) wrt a.\nAnswer: -2934*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than 321?\nAnswer: 321.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -954952 or -954954?\nAnswer: -954952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 750 and 7950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110192 divided by -8.\nAnswer: 13774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -355*n**2 - 10*n - 5. Let f(l) = -71*l**2 - 2*l - 1. Let h(t) = 2*b(t) - 11*f(t). Let c be h(-1). List the prime factors of (-20)\/c + (-732)\/(-14).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 839 - 834. Suppose -u*x + 5*o = -5, -3*x - 1 + 20 = 5*o. Factor 0 - 2\/3*g**2 - 7\/3*g**x + 0*g.\nAnswer: -g**2*(7*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*i + 104*i + 168 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*u - 39 - 61 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.7007 millilitres in litres?\nAnswer: 0.0227007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373 by -3.\nAnswer: -373\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1531*a + 67. Let o be m(5). Suppose -16*i + o = -7*i. What is i rounded to the nearest 10?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 6750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + g - 2*d + 30, 0 = -3*g + 2*d - 78. Let k = g - -34. Let w = 116 + -46. Calculate the highest common divisor of w and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17708631 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6786315.\nAnswer: 3, 5, 17, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174.303654 + 174.653. Let t = 38.65067 + k. Let r = t + -39. What is r rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 39*q + 1. Let x(v) = -1. Give 2*x(p) + y(p).\nAnswer: 39*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w - 85. Let x be z(9). Suppose h - 2*u = x*h - 4214, 0 = -h + 3*u + 1071. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 12:33 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 265*v**3 - 3*v**2 - 10*v - 1. Is p(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14931 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + -71. Let h be (-5 - (-2 - -1))\/1. List the prime factors of (-10)\/h*(9 + p).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + -13 + -77 + 49\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**2 + 153798*b - 153795 = 0.\nAnswer: 1, 51265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*p + 28 = -2*d + 287*p, 26 = -4*d - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*q**3 + 744*h**3 + 13*h**2*q**3 + 45*h**2*q wrt h.\nAnswer: 12*q**3 + 4464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4694700 divided by -12.\nAnswer: -391225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 122187490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1472691 - 638629. Suppose -3*z = s - 231056. Let q be z\/(-1) + 5 + -7. Round q to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5351*c + 101. Let m be i(-5). Suppose 2*u - 5*q = -320020, -133140 - m = u + q. Round u to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) 0.9 (c) -1 (d) 8 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 158004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10623 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((1\/93)\/(7\/(-21))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 68 = 2*o. Suppose -3*q = -2*r - 9, q + o = -5*r + 3*q. Let x be ((-20)\/15)\/(2\/r). Is x less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.056.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4739958 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: Is 57 a factor of 25479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + 17 - 17)*(0 + 5 - 2)*(-19*s - 148*s + 24*s).\nAnswer: -2145*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34536193.\nAnswer: 79, 137, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(((-8)\/(-2))\/((-114)\/(-57))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.74581 and 5.\nAnswer: -3.72905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 13.98.\nAnswer: 17.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42447 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 6 = 9*z. Which is bigger: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/6)*j**(-7)\/j*j)**(-1\/23))**20 assuming j is positive.\nAnswer: j**(410\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 577*c**4\/24 + 38*c**3\/3 - 59*c**2. Let i be q(12). What is i rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 46682515 and 46682515 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200504216*j - 200504216*j - 711*j**2 + 256*j**2.\nAnswer: -455*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 + 2*u - 7. Let j(o) = 8*o**2 - 3*o + 13. Determine -5*a(f) - 3*j(f).\nAnswer: f**2 - f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 173.1781 millilitres?\nAnswer: 0.1731781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58618652567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1199 - -46370. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let p(y) = -y**2 - 1. Let i(c) = a(c) + 3*p(c). Let l(m) = -m**3 - 5*m**2 + m - 5. Determine -5*i(j) + 3*l(j).\nAnswer: -3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x. Suppose 0 = -174*w + 178*w - 20. Let g(n) = n - 8. Let i be g(7). Let c(j) = -7*j + 5. Determine i*c(y) + w*z(y).\nAnswer: 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7789, -7759, -7715, -7657?\nAnswer: -7585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1540\/9 or 172?\nAnswer: 1540\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**25 assuming m is positive.\nAnswer: m**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l**3 - 59*l**2 + 19*l + 3. What is b(-6)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10854\/871*(-52)\/(-12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + 1*sqrt(3) + sqrt(12)\/sqrt(64).\nAnswer: -1 + 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*p + 128*p - 37*p**3 + 5 - 33*p.\nAnswer: -37*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(102)\/sqrt(6)*-3)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -5*x**4\/6 - 1273*x**3 + 764*x**2 - 5*x + 1473. Factor u(a).\nAnswer: -2*(a + 764)*(5*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 4*o**2 - 4*o**2)*(-2*o - 4*o + 3*o).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*c - 2*f = 144*c + 9, 2*c = 4*f + 38 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 19320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -100*k**3 - 67. Let t(s) = -s**3. Let p(x) = 11*x + 25. Let w be p(-2). Let o(g) = w*t(g) - b(g). Find the first derivative of o(r) wrt r.\nAnswer: 291*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Suppose 0 = o + 4*a + 6 - j, 5*a + 16 = 3*o. Suppose u - 18 - 2 = -o*w, -4 = -u. What is the remainder when 13 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 981740237 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(153)*2 + 3 + (1 + sqrt(153))*4 + -2 + -2*(sqrt(153) - (4 + sqrt(153))))**2.\nAnswer: 1872*sqrt(17) + 22708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1, 3\/10, -7, 2\/7, -2\/7, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49130)\/408)\/85*-12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2873404.\nAnswer: 2, 191, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/11)\/(a\/a**(-21)*a*a*a*a) assuming a is positive.\nAnswer: a**(-289\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -25877?\nAnswer: 2587b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2068 in 22, -3, 43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 319878 and 7488.\nAnswer: 10236096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 4.4, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiik when four letters picked without replacement from {i: 11, k: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73537, -294014, -661433, -1175794?\nAnswer: -1837097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -408? (a) 0.1 (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -74. Calculate the remainder when 27 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 30 = 3*v. Suppose v + 15 = -3*o. What is the units digit of (12\/o)\/(2\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5286, -5287, -5288, -5289, -5290?\nAnswer: -5291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593133386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2. Let g(f) = f + 40. Let w be g(-28). Let a(u) = -3*u**2 - u**2 - w*u**2. Give q(a(k)).\nAnswer: -512*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793147039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m + 10 = 0. Solve 2*r - m*r = -5*g + 19, 0 = r + 4*g - 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(3) - (sqrt(18) + -2*sqrt(18))\/sqrt(6)) - (-6*(sqrt(18) + sqrt(72)))\/sqrt(6).\nAnswer: -2 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/52*5\/(-15))\/(2180\/9592)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240 + 1230. List the prime factors of x.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/10*0)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 5*n + 5*x, 2*n = x + 10. Let f be (0 - 20\/(-5)) + n. Solve -3*g - 5 = -z, z - 4*g - f = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-2 - 2) + 8. Is (-8)\/u*(5 + -14) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7111181?\nAnswer: 7, 11, 92353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622774?\nAnswer: 2, 811387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/42)\/((-3)\/54) + -4. Let j = 0.3 + -0.4. Which is the closest to g? (a) j (b) -0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*1*sqrt(54)*2)\/(-6*-4*sqrt(128)*-1*1).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 660 and 2772.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k - q + 683, 0 = -4*k + 3*q - 681. Which is greater: k or -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 951544.\nAnswer: 951544","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10000000011111000100?\nAnswer: -10000000011111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269778 divided by -1.\nAnswer: -269778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 739 = c, 5*y - 5*c = y - 1457. What is the units digit of y\/(-4) - -1*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 37\/4, 0.2, -1\/2?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 780417 (base 13) to base 2\nAnswer: 1010110010011111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(243))\/((-2*sqrt(3267))\/sqrt(3)).\nAnswer: -6*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 + 59*w**4 + 2*w - 56*w**4 - 3*w in the form q*w + u + b*w**3 + c*w**4 + v*w**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(20)\/sqrt(4))*5 - -3*(sqrt(720) + sqrt(720) + 0))*-3 + 5.\nAnswer: -231*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3362?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 1723969*n**6\/320 - 1734473*n**5\/160 + 1315*n**4\/8 - n**3 + 151*n**2 - 38*n. Find h such that y(h) = 0.\nAnswer: 4\/1313, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -j - 0*j + 48, 3*j - 74 = -2*t. Let f be 1*24*j\/(-42). Let d be f\/56 + (-46)\/(-14). Solve -4*l = -d*q - 9, 0 = 2*l - 6*l - 3*q - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138 + 83. Let g = -30 - m. Let n = -25.03 + g. What is n rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1465*i - 1713*i - 5456 = 0 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 616*f**2*l - 4*f*l*p - f*l + f*p - 82*l*p - l + 105 wrt f?\nAnswer: 1232*f*l - 4*l*p - l + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * 174.3\nAnswer: 278.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 2 - 3 = 4*g + 8, -5*h - 21*g = -0*h - 6*h + 64 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**4 + i**4 - 1 - 4*i**4 - i**2 + 2 in the form b*i**4 + k + o*i + u*i**2 + d*i**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 973*o**3 + 153985*o**2 + 42842769*o + 251301690.\nAnswer: (o - 557)**2*(o + 6)*(o + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 12*j**2 + 1. Let f be q(-6). What is the fifth biggest value in 2\/9, 1\/6, 2\/5, 3, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16616252 - 6356252. What is i rounded to the nearest 100000?\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119+66545\nAnswer: 66664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.2, 1, 11.\nAnswer: -0.3, -0.2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*i - 183*i + 2031206800. What is i rounded to the nearest one hundred thousand?\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1001424422240?\nAnswer: 1001424422241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**2\/19 + 16*k\/19 - 24\/19 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.498 and 1691125.\nAnswer: 1691126.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7858700 (base 9) in base 3?\nAnswer: -21221222210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.42911*-98.\nAnswer: 42.05278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -3 (c) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((1 - -4) + -3 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4671*i + 4461*i + 16590 for i.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 24*w - 153. Calculate c(12).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*a + 58*a - 23*a**2 + (-3*a**2 + 6*a**2 - a**2)*(-8 + 4 - 1) in the form p*a + w + b*a**2 and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64705 at most 64699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5\/2*m**2 - 35\/2*m.\nAnswer: -5*m*(m + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -528 + 11086\/21. Let w = -153 - -152.6. Put w, f, 9 in decreasing order.\nAnswer: 9, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -8 - (4 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -36.5250412388 and -67.5.\nAnswer: -104.0250412388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f + 6. Suppose -q + f*q - 206 = 0. Let b = 3504\/17 - q. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/31*((-16)\/(-40))\/(((-80)\/50)\/2)\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 744, 1, -1, 38519 in increasing order.\nAnswer: -1, 1, 744, 38519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4. Let i(x) = x**2 - 3. Let f(b) = -5*i(b) - 4*k(b). Suppose -3*a - 9 = -3*h, 6*h - 7*h = 5*a - 9. Determine f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 2\/(-42)*-47. Let v = -2\/92395 - -1755841\/15522360. Let o = v + k. What is the second biggest value in 5, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 3\/5)\/((-189)\/840). Let k(q) be the second derivative of 0 + 1\/6*q**4 - 6*q + 16*q**2 + v*q**3. Factor k(w).\nAnswer: 2*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, x: 1, g: 5}. Give prob of picking 1 x and 2 g.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/72 and 462\/(-66) - 4634\/(-624).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 30*u - 1542 + 1477 = 0, 0 = -a + u + 23 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnddnd. Give prob of picking 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 7*r**2 + 5*r + 6. Let x be v(6). Let f(y) = -23*y**2 + 3*y + 2 + 50*y**2 - 28*y**2. Let k be f(x). Solve -2*g + k = 2*j, g - j + 5 = -4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2) - ((sqrt(2) - (sqrt(2) - sqrt(2)*-2) - sqrt(2))*-6)**2).\nAnswer: -649 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -40722 divided by -66\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -434*a**3\/3 - 38128*a**2\/9 - 360064*a\/9 - 1106944\/9 = 0. Calculate a.\nAnswer: -8648\/651, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/8? (a) -3 (b) 15 (c) 0 (d) -183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3288\/(-276) + 9 - (4 - 7)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a + 6d?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 22\/5*z**2 + 12\/5*z + 14\/5*z**5 + 18\/5*z**4 + 0 - 66\/5*z**3 = 0?\nAnswer: -3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13641513157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 * 0.17128.\nAnswer: 20.89616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5668 plus -8?\nAnswer: -7.4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/24))**2 assuming m is positive.\nAnswer: m**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283055.9 litres to millilitres.\nAnswer: 283055900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaxaxaa. What is prob of sequence aaxa?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 168*d - 9. Let x be i(3). Suppose -y + j + 12 = -x, -5*j = -3*y + 1529. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/14 and 103\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 592, 0.\nAnswer: 0, 63, 592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*w + 4*n, 0 = -2095*n + 2093*n - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -291, 1\/6, 5?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 8) in base 4?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1121401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 7:50 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/16 - p**3\/6 + p**2\/8 - 3*p. Factor i(s).\nAnswer: (s - 1)*(3*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eofe when four letters picked without replacement from {f: 2, o: 4, e: 6}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 93.1. Which is the closest to y? (a) 2\/15 (b) -4\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -31*c + 34*c. Solve 6 = 5*a - 2*p, -1 = -c*a + p + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(125))\/(sqrt(4) + (1*sqrt(20)\/sqrt(5) - sqrt(4))).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 132629310 divided by 22990\nAnswer: 5769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194540349 to the nearest integer?\nAnswer: 13948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 56719780*k**2 - 160856728882185*k + 321713230885290.\nAnswer: -5*(k - 5671977)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -41*s**3 - s**2 + 78*s**3 - 8*s - 33*s**3 + 2 + 2*s**2. What is the remainder when w(3) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 + 112?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**3 - 4*j**2 + 22*j + 17. Let c(g) = -10*g**3 + 6*g**2 - 33*g - 27. Determine 5*c(i) + 7*y(i).\nAnswer: -i**3 + 2*i**2 - 11*i - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 64 = 6*q. Let i be ((-4)\/(-16))\/((-2)\/q). Solve r = -r + i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.53 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106033349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*z**5 + 5524*z**4 - 130298*z.\nAnswer: -80*z**3 + 66288*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdddttjt. Give prob of picking 1 j and 1 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**4 - 2*u**4 - 16*u**4)*(-u + 3*u - 4*u) - u**5 - u + u + (-2 + 2 + u)*(5*u**4 - u**4 + 0*u**4) + 0*u**2 + 0*u**2 - u**5 - 2*u**5 + 0*u**2 + 0*u**2.\nAnswer: 52*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w - 2034716 = -17*w - 56*w. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 18*p - 3. Let x be z(1). Let m be ((-8)\/(-6))\/((-1)\/(-3)). Suppose 9*j = m*j + 375. Calculate the highest common divisor of j and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 83 - 13*d + 41.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-915)\/(-1098)*(21\/105)\/((-1)\/(-4))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 29. Let r = k + 115. Find the second derivative of -12*m**2 + 105 - 16*m - 2*m - r wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyggggyyg. What is prob of picking 2 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 2*l**2 - 5*l**2)*(95*l + 2*l + 12*l).\nAnswer: -218*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.026 (b) 0.3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -189 (b) 7 (c) 3 (d) 2\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, 1 k, and 1 e when four letters picked without replacement from qejvqekqevqkve.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 3*s, -2439*v - 5*s = -2443*v + 21. What is the third biggest value in -19, v, -2\/5, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2695))\/(sqrt(176)*2) + 1 + sqrt(3240)\/sqrt(8) + 4.\nAnswer: 5 + 43*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/2)\/(-5 + 39\/6). Calculate the remainder when 58 is divided by (4 - 97)*l\/6.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 2*u + 0*u + (3*u + 0*u - 5*u)*(-2 + 4 - 5) + 1 + 2*u - u - 8*u.\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-20)*(-1)\/3)\/((138\/(-324))\/23)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1389, -2634, -3879, -5124, -6369?\nAnswer: -7614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/(-168)*(0 + 6\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -399, -941, -1689, -2637, -3779?\nAnswer: -5109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**3 - g**2 + 3*g - 3. Let v(p) = 17*p**3 + 3*p**2 - 8*p + 8. Suppose 82 = 2*j + 76. Determine j*v(c) + 8*w(c).\nAnswer: 3*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2182, -6932, -16044, -25154, -34262?\n\"Answer: r**2 - 9117*r + 11298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 5042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + ((-2280)\/(-9))\/20\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 25 = -l - 240, 2*g - 4*l + 112 = 0. Let z = g - -22. Let m = 23 - z. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 28*j + 160. What is x(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338*z**5\/7 + 40794*z**4\/7 + 13928*z**3\/7 - 162208*z**2\/7 - 50304*z\/7 - 3872\/7 = 0. Calculate z.\nAnswer: -2, -2\/13, 2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 8*r - 8. Let m be d(5). Let y(k) = 0*k - 9*k - 2 + k + m*k. Let z be y(-3). Calculate the highest common factor of z and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = 5*g - 27*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*m + 171 + 1142 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 111, 3, 6 in descending order.\nAnswer: 111, 7, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Let t = f - 3. Let l = 6.6 + -7. Put l, t, -0.5 in ascending order.\nAnswer: t, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/8 - (-6876)\/8. Let g = u + -857. Solve g*o + o = 4*h + 16, -1 = o + 4*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48224 by 11.\nAnswer: -4384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-5 - (-5 + 2)) + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 13*l = -17*l - 54, 4*d - l - 156 = 0. Calculate the greatest common factor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.053 or -172\/1539?\nAnswer: -172\/1539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*g - 4 = -3, -3*g = 6. Let v(p) = 8*p - 19. Let c(f) = -1. Let l(x) = s*v(x) + 4*c(x). Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6067, 14320, 26945, 46126, 74047?\nAnswer: 112892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 16*s - 9. Calculate w(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 115, 172, 257, 364, 487?\n\"Answer: -l**3 + 20*l**2 + 4*l + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 117*p + 12. Let r(s) = 35*s + 4. Let y(w) = 10*r(w) - 3*t(w). Let u(x) = -5*x + 20. Calculate 2*u(q) - 11*y(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(40\/10)\/((-2)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3001.3 in 0.3, 1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136901015 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 63, -0.5, 11, 1\/5 in increasing order.\nAnswer: -1, -0.5, 1\/5, 11, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -72. Let u = 92 - b. Let x = -28 + u. Put 5, x, -1 in increasing order.\nAnswer: -1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 747 (base 14) to base 3\nAnswer: 1222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + 0*j**2 + 24*j**2)*(-2*j - j + 5*j - 3*j**2) to v*j**4 + z*j**3 + q + y*j + n*j**2 and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 383368379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 28*x - 30*x + 10, -4*f + 3*x - 11 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 53, 76, 95, 110, 121, 128?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3679?\nAnswer: 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, 1 j, and 1 k when four letters picked without replacement from {k: 1, i: 1, j: 1, v: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108*s - 273*s - 318 - 127*s - 168 wrt s.\nAnswer: -508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5436)\/3020*(-5)\/69.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 9. Let g be ((-9)\/(-4))\/(6\/(-24)). Let k be l(g). Suppose k = -0*u - u + c + 9, -2*u + 23 = -3*c. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41072337 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 5*g**2 + g + 2. Let y be r(-5). Let j(o) = o**3 + 4*o**2 - o - 2. Determine j(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 916322?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**3\/6 + 7*w**2\/2 + 2*w. Let u be p(-7). Suppose 6*l - l - 20 = u. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, z: 3, i: 2, m: 8, p: 1}. What is prob of picking 1 z and 1 m?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 28, -19.3, 2 in increasing order.\nAnswer: -19.3, 0.3, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/120 - z**5\/4 + 5*z**4\/8 - 3*z**3\/2 - 9*z**2. Give b(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*n - 140 = 306*n. Let c = 402.5 + -403.2. Is n at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - n + 0*n + 2*n - 10*n - 2*n + (2 - 3 - 1)*(-3 + 3 + n))*(-7*n**2 + 2*n**2 + 2*n**2) to the form v*n + s*n**2 + g*n**3 + r and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 8*z. Suppose z = -8*u + 12*u - 44. Let g = u - -327. What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 201 - 175. Suppose l*s = 25*s - 2599. What is s rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 22*b**2 + 22*b + 34. Let c be i(23). Suppose -11*z = -99 - c. Calculate the highest common divisor of z and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 7*y = -96*y - 505 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/10 (b) -3 (c) 1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -580 or -0.00449?\nAnswer: -580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*l - 1, -2*c - 2*c - 27 = l. Let s = -4 - l. Let a = s - 3. Is 0 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55524937049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*a*p**4 - 46*a*p**2 + a - p**4 + 2511*p**3 - p**2 + 206*p + 2 wrt p.\nAnswer: -1872*a*p - 24*p + 15066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.11 - 4.21. Which is the closest to y? (a) -4 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1524751, 3049492, 4574231, 6098968, 7623703, 9148436?\n\"Answer: -g**2 + 1524744*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 615578569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 - 6*j**4 - 6*j + 3*j**2 - 5*j**2 + 4*j**4 - 2*j**3 to y*j**4 + n + w*j**3 + s*j**2 + p*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*p - 230*p + 84932 = 362*p + 366*p for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -7*i + 171. Let o be ((-5)\/(-3))\/(2\/18). Let r = i - o. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48721505251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -5\/2*u**2 + 3\/10*u**5 + 0 + 8*u + 0*u**3 + 0*u**4. What is the first derivative of x(b) wrt b?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-eight thirds of a day?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -121?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(30\/18)*1. Sort -4, z, -9.\nAnswer: -9, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -430 + 5?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 107, 203, 327, 479, 659, 867?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = 52*y + 815 - 87 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010101111001101 (base 2) in base 14?\nAnswer: -12057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19630.85 - 0.038?\nAnswer: -19630.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92300 divided by -18460.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:25 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25, 123, 287, 517, 813, 1175?\n\"Answer: 33*r**2 - r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by -2.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 115201.5 decades in centuries?\nAnswer: 11520.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58682 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5074.016 millilitres to litres.\nAnswer: 5.074016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12 and 273\/52 - 5 - (-104)\/(-114).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -3\/4*z**4 + 0*z**2 + 2\/3*z**3 - 4 + 0*z. What is the third derivative of x(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*-1 + sqrt(539) + (-1*sqrt(22)\/sqrt(2) + sqrt(11) - sqrt(11)) - (-3*(sqrt(132) - sqrt(132)*-2))\/(sqrt(24)\/(sqrt(2)*1)))*-3)**2*-5.\nAnswer: -31680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*k + d, -k + 3*d = 2*d. What is the greatest common divisor of k and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1665*1.3.\nAnswer: 2164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/5)*v**(1\/8))**(-21\/8) assuming v is positive.\nAnswer: v**(903\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/26 - (-633270)\/78 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, d: 2, v: 2}. Give prob of picking 2 z.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*o - 39, -2*f - 2*o + 3781 = 3799 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*u - 0 - 4, -5*u - 2 = a. Suppose -m - 2*m = 0. Suppose 8*p - 3*p = m. Solve p*x = a*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3087315 and 7875?\nAnswer: 77182875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-25)*6 + 2\/(-10). Let k = -0.06 + 5.06. What is the biggest value in k, -0.1, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23342791 + 64284\nAnswer: 23407075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -f + 22, 3*f - 19 + 1 = -a. Suppose -4*u + f = u - 4*i, -5*u + 21 = 3*i. Solve 4*q + 3 = u*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 868892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from ysosot?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*w - 44 + 6, 83 = 2*w + 5*a. Suppose 85 = 5*q - 5*r, -q - 2*r + 1 = -19. Find x such that w - 2 + 23*x**2 - 20*x**2 - q*x = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400059781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 104938\nAnswer: -5\/104938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 10*l + 16. Let p be v(11). Let u = p - 6. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1. Let p(o) be the second derivative of -3*o**5\/20 - 2*o**2 + 11*o. Give -p(f) + 4*t(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 280153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.055 + 0.128. Let t = h + -0.072951. Round t to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 4*l + 4*l**3 + 67.\nAnswer: 4*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -47. Let m = -26 + r. Calculate the smallest common multiple of 4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 2*j**2 + j. Let t(y) = -3*y**3 + 90*y**2 + 93*y - 156. Let a(u) = 12*l(u) - t(u). Solve a(b) = 0.\nAnswer: -13\/3, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 16, -1, -36, -95, -184, -309?\n\"Answer: -a**3 + 2*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -5*s + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (205928\/(-12) - -6) + 3\/(-9). Round q to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95 - -217) + -60 + 1 + 17.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-679 + 108 + 2689 + 2138)*(-3*c**2 - c**3 + 3*c**2).\nAnswer: -4256*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1152 - 439. Does 32 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -6*a**4 - 68*a**3 - 168*a**2 + 144*a = 0.\nAnswer: -6, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2642253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -188.215314 rounded to one dp?\nAnswer: -188.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1\/43, 2\/393, 0.2 in decreasing order.\nAnswer: 0.2, 1\/43, 2\/393, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22846 (base 10) to base 11.\nAnswer: 1618a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*a**3 - 3*a**3 - 96*a**3)*(-2 + 5 + 3)*(-4 + 1 + 4).\nAnswer: -390*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 6*d = -8086. Let i = 314 + d. Solve f + w - 3 = 0, -i = -2*f + 2*w - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*o + 2*n - 4, 5*n + 18 = -o. Let t be (-3)\/3 + 2 + o. Suppose -32 = -v - 5*k + 6*k, 0 = t*v - k - 90. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*k + 4 = 0, 11*k - 8*k = 5*u - 6. Solve u = -6*f - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2319 = 441*h - 102*h - 4461 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -114, 11.646, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289.1 - 289. Which is the closest to 1? (a) -0.4 (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*t = 4*h - 4, -8 = -4*h - 5*t. Let g(q) = -h*q**2 - 107*q + 107*q. Let y(i) = -4*i**2. Calculate y(g(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t = -34*t - 5*y - 1323, -4*t + 5*y + 2671 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-156)\/(-5) - 3*(-3)\/(-45). Find j, given that -6 + 3*j**4 - v*j**3 - 14*j**3 + 54*j**3 - 9*j + 3*j**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*b - 5 = -137*b + 3*f, 4*f = -4*b + 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27994, 56047, 84100, 112153, 140206, 168259?\n\"Answer: 28053*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 20*t + 5*y - 2 = 0, 3*y - 6 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161531*i**2*y**5 - 20*i**2*y**4 + 22*i**2*y + 3*i*y**2 - 28*i*y + 2*i + y wrt y.\nAnswer: 9691860*i**2*y**2 - 480*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*k = 765*k + 912*k - 26013 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2841263250 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 = 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 - 67*h + 282. What is q(-20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42864, -85723, -128584, -171447, -214312, -257179, -300048?\n\"Answer: -t**2 - 42856*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qprq when four letters picked without replacement from {r: 1, f: 1, p: 1, q: 2, d: 1, y: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d*i*k**3 - d*i*k**2 + 2*d*k**2 - 9*i*k**3 + 351*k**3 + 2*k wrt i?\nAnswer: 3*d*k**3 - d*k**2 - 9*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 3*p**2 + 0)*(14878*p - 7430*p - 7896*p)*(-2*p + 3 - 3) - 5*p**3 + 5*p**3 + 2*p**4.\nAnswer: -2686*p**4 - 896*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 2061 = -423. Let i = -195 - s. Calculate the highest common factor of i and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6262 and 3007?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3)\/z)\/(z**6\/z))\/(z**0*z**(2\/7)))\/((z**(-7)\/z**(-6))\/(z\/(z**1\/z*z*z))**22) assuming z is positive.\nAnswer: z**(-212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37561*d*j*v**2 - 2*d*v**3 + 67*d*v**2 + 5780*d*v + 63*j*v**3 with respect to j.\nAnswer: -37561*d*v**2 + 63*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:00 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/23 equal to 191.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 t when four letters picked without replacement from {c: 13, t: 6}.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 6*x**3 + 393*x**2 + 951*x + 378 = 0.\nAnswer: -63, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w**3 + 2*w**2 - 1. Let z(r) = 4 + 3*r**3 - r - 4*r**3 - 11 + 2*r + 8*r**2. Let d be z(8). Give n(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000700850579 to 7 dps.\nAnswer: 0.0007009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3573\/316 - 9\/158. Let d = -3 - 9. Calculate the common denominator of l and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**3 + v + 1. Let n be p(-1). Solve 3*s = 9, 2*m - n*m = 4*s - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5219, -5214, -5205, -5192, -5175?\nAnswer: -5154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 96113440 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5 + 13730*n**4 + 31478148*n**3 + 24236994896*n**2 + 310724897984*n + 714890538240 = 0. Calculate n.\nAnswer: -2284, -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222 + 391. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5 = 301*z - 306*z, 2*a - 2*z + 2 = -7*a + 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 592 = 2*t. Let j = -311 + 205. Let c = t - j. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + p + 3. Suppose 14*f - 9*f = 20. Let s(b) be the second derivative of 3*b - 1\/2*b**3 + 5\/12*b**f + 0 - 4*b**2. Calculate -4*s(i) - 11*x(i).\nAnswer: 2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-202)\/(-20) - (-3 - 62\/(-20)). Suppose 0 = 2*j - 5*k - 3044, 6*j = d*j + k - 6044. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/614991 and -35\/5577?\nAnswer: 6764901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -10*q**4\/11 - 108329524*q**3\/11 - 391176206779488*q**2\/11 - 470843778934117818112*q\/11 - 188337448985460975616\/11 = 0.\nAnswer: -3610984, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 19*l = 6*l. Let g(r) = 16*r - 1. Let p be g(-2). Let k be (-2)\/(-6) - (-17)\/p. Which is the biggest value? (a) k (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212501234 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, -5 in decreasing order.\nAnswer: 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 9. Let g be q(-7). Let u = -0.14 - -5.14. Which is the nearest to -2? (a) u (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*p + 5 = -230, 3*g - 4*p = 141. Calculate the remainder when 185 is divided by g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -542430 rounded to the nearest 10000?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 57 - (-84 - -12 - -84).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11195 is divided by 269.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - (-4 - -5 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37825 - 73157 = 803*i for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/5 - 38216*y**2\/5 + 7644*y.\nAnswer: -4*y*(y - 1)*(y + 9555)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/909 and 31\/589656?\nAnswer: 178665768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(121) + 4*1*sqrt(121) - (sqrt(121) + sqrt(121) + sqrt(121) + 1*sqrt(121)*4))\/(((sqrt(33)*-2)\/sqrt(3) + sqrt(11))*2).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1167 - 813. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -108 - -119. Solve -4*h + 4*l - 4 = 0, 3*h - l = -5*l + d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 701235 and 13020?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16183 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 2*g - 2. Calculate z(-9).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 18*o - 1. Let k be l(-14). Suppose k*f + 130 = 60*f. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 - -20?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3 + 6 - 3 + 8 + 8*r + r**2. What is the units digit of m(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*i - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -13. Let h be ((-16)\/3)\/((-8)\/p). What is the greatest common factor of h and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 38 = 158. Let d be 8\/q - 21\/(-5). Suppose -1 - 11 = -3*g. Solve -4*a + 6*a = -g, 0 = d*z - 3*a - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from foooofofoofqfoofoof.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/36*-3*3. Let h = 11 + t. What is the least common multiple of h and 1 - 2\/(-1*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 1049376*d**4 - 3148164*d**3 = 0. What is d?\nAnswer: -3, 0, 262347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 5*f - 28 + 94 - 28, 402*f = 2*j + 406*f + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7*-1)\/(1\/33). Let j be (13164\/18)\/(19\/(-6)). Let s = j - y. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.437886 seconds?\nAnswer: 2437.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 877728 divided by -164?\nAnswer: -5352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 0*q**4 + 0 + 0*q**3 + 1\/2*q**5 + 0*q - 3*q**2. Let w(l) = 2*l**2. What is w(b(k))?\nAnswer: 1800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 643247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/(p\/((p*p\/(p\/(p*p**5)*p))\/p))*p**(-7\/3)*p*p\/p**(-2) assuming p is positive.\nAnswer: p**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -3)*(-21)\/(-9). Let l(o) = -14*o**2 + 6*o + 6. Let f(t) = 16*t**2 - 7*t - 7. Let s(b) = p*l(b) - 6*f(b). Let d(a) = 34*a. Calculate d(s(j)).\nAnswer: 68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366 + -414400?\nAnswer: -414001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*l + v + 14, 4*l = 2*v + 34. Let f(z) = z**2 - 11*z + 31. Let m be f(l). Put m, -3, 1 in increasing order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/((-54)\/285)*(-16)\/(-10). Calculate the greatest common factor of b and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**3 - 11*n**2 + 100*n - 276. Give x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832829 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7459*o - 326. Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279 - 2023 = -31*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2226006 (base 7) to base 16.\nAnswer: 43542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16 - (-76)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*u = 96*u + 84 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19890?\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.765399ml in litres?\nAnswer: 0.005765399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y, o + 55 = 4*y - 154. Let z be o\/(0 - 3 - -2). Suppose 5*w = z + 316. Calculate the greatest common divisor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 7*r**2 + 0*r**2)*(2*r - 1 + 1 + (3 - 1 + 0)*(2 + r - 2) - r - 2*r + 4*r).\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*r**4 - 7*r**4 - 1 - 7 - 2*r**4 wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, d: 2}. Give prob of sequence fd.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5\/9 + 75820*c**4\/9 - 241165150*c**3\/3 + 93095587000*c**2\/9 - 3015231245000*c\/9 = 0?\nAnswer: 0, 65, 18890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 10. Let k = f - -44. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95\/3 - -32. Let z be (3\/(-35)*-5)\/((-4)\/14). Sort z, -3\/5, m in decreasing order.\nAnswer: m, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6.2. Let a = -2668\/3 - -889. Which is smaller: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -53 (b) 2\/11 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 4*j**2 + 2*j**2)*(0 + 2 - 1)*(-3*j + 2*j + 4*j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5049*r**2 - 105*r + 3381. Let o(q) = -5040*q**2 - 90*q + 3382. Let a(i) = 7*o(i) - 6*p(i). What is the first derivative of a(m) wrt m?\nAnswer: -9972*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -2. Let b(i) = -i**3 - 9*i**2 - 10*i - 6. Let u be b(-8). Factor 2*y**3 - p*y**2 + y**2 + u*y - 2*y.\nAnswer: 2*y*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 2*q - 5, -51*f + q = -54*f + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 32*f - 57*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104432 (base 6) in base 13?\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.58 + -2.27. Let w = d - 0.15. What is the second smallest value in -0.3, w, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33)\/44 - 727\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 531*y + 44049. What is i(-80)?\nAnswer: 1569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 16) + 0 + 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19610268.50000005 - 19610269. Let u = d - -0.5. Round u to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 - (-6 - 71) - (81 + -3 + 1 + -1).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -42*i + 676. Calculate f(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, a: 2, l: 1, f: 2, t: 1}. What is prob of picking 1 f, 1 l, 1 a, and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 8*s**2 - 18*s**2 - 22*s**2 - 1068*s.\nAnswer: -29*s**2 - 1068*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*c + 3*k, -4*k + 2*k + 2 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(2*a**5 + 6*a**5 - 3*a**5) - 3*a**5 + 0*a**2 + 0*a**2 + (-6*a + 3*a + 0*a)*(2*a**4 + a**2 - a**2).\nAnswer: -14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 - 484. Determine b(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24734*j - 24480*j - 3666 = 15638 for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 512262, 512261, 512260?\nAnswer: 512259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*s**4\/5 + 1703*s**3\/5 + 40321*s**2\/5 + 85497*s\/5 + 46872\/5 = 0. Calculate s.\nAnswer: -217, -24, -9\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2\/13 + 368*d\/13 + 16928\/13 = 0.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -182180135*k - 311228700.\nAnswer: -182180135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + o**2 + o**2 + 2 - 6*o**2. Let g(h) = 17*h**2 + 5*h - 9. Suppose 3*l = 4*n - 43, 3*l + 33 + 14 = 5*n. Let v(t) = l*k(t) - 2*g(t). What is v(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtxt when four letters picked without replacement from xxxtttt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 5*t + 3*t + (4 - 1 - 4)*(0 + 2*t + 0) - 6 + 6 - 6*t + 2*t + 5*t - 3*t + 3*t - 5 + 13*t - 19*t.\nAnswer: -6*t - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2)\/(9\/((-18)\/(-4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1846 divided by -2\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5445915ns in weeks?\nAnswer: 0.00000000000002074171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16495455 rounded to the nearest one hundred thousand?\nAnswer: 16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(176)*3 + sqrt(176)).\nAnswer: 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38 + 0 - (2 + -4 + 1). Suppose -6*t + p - 27 = 0. Solve -3*z = -2*i - 11, -17 = 2*i - 3*z - t*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -4\/1329, -1\/2, 0.4, 1 in decreasing order.\nAnswer: 1, 4\/9, 0.4, -4\/1329, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/7, -0.1, 12, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419683219?\nAnswer: 163, 8709713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17504\/5 + -492967\/240. Let c = s - 4324\/3. Calculate the common denominator of c and -49\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2418 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/163 or 1?\nAnswer: 3\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -229*d + 236. What is p(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 464310215.395599 - 464310483. Let h = 267.6 + t. Round h to four decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -134500*n - 1345008. Calculate q(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 4. Suppose 5*t = 5*l + 2080, -3*t + 4*t = 0. Let c = -421 - l. Calculate g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55195 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 6 = 10*i. Solve 2*h = -i*h - 2*q + 1, 0 = 5*h + 5*q + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 1. Let w be (1\/i)\/((-3)\/27). Suppose 2*u = -a - 4*a + 20, 0 = 5*u + w*a - 50. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1300) + 1 - (sqrt(156)\/sqrt(48) + sqrt(13))).\nAnswer: 1 + 17*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 131*o - 99. Let q(s) = -20*s + 1. Let w(g) = j(g) + 6*q(g). Give w(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32435.938 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 2:23 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 4. Suppose -h = -3*a + 4 + s, 58 = -3*h - a. Calculate the smallest common multiple of 4 and (h\/8)\/((-18)\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxooxo. Give prob of picking 2 o and 2 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1448 and 72?\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -19960 and -19957 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -409 divided by 575\nAnswer: -409\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, 99, 148, 197, 246, 295?\n\"Answer: 49*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 73. Let t = a - 7. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21954451732 and -0.1.\nAnswer: 21954451731.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80485?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -4, -5060, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 - 3*k + 4. Let f be z(-4). What is the greatest common factor of f and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7234*t - 47*t**2 - 7234*t - 2)*(3*t + t - 2*t)*(-12*t + 0*t - 2*t) in the form g*t**3 + m*t**4 + j + f*t + n*t**2 and give m.\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 215*u**3 - u + 4. Let m be v(1). Let i = -327 + m. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198\/4)\/(-3)*(510\/(-45))\/(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 15 = -3*y. Let d(p) = -2*p**2 - 2*p - 1. Let u be d(-1). Suppose -27 = -152*w + 155*w, 4*o = 3*w + 15. Sort 1, o, y, u.\nAnswer: y, o, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52420 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 9684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -891910825*h**2 + 355371528.\nAnswer: -1783821650*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1076*d - 30. Let u(p) = 1076*p + 24. What is -5*u(z) - 4*w(z)?\nAnswer: -1076*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 2305 = 1095 + 1091 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/(-6))\/((136\/(-255))\/(36\/90))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - 2262575?\nAnswer: -2262631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**2 + 3*w + 11. Let j(k) = 7*k**2 + 3*k + 12. Let r(c) = -2*j(c) + 3*p(c). What are the prime factors of r(5)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 345.81?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h**2 - 2*h - 2. Let p be a(-1). Let r be (-30)\/p + 7\/28. Solve r*f = -2 - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4568 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 1. Suppose -2*l + 1 + 5 = 0. Suppose 0 = g + g + 3*t + 5, -3*g - l*t = 3. Let y(d) = 13*d + 4. Determine g*y(m) + 9*n(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 17.4 and 12.2176.\nAnswer: 29.6176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 578344, 1156872, 1735400?\n\"Answer: 578528*n - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**5 - 32*t**4 + 96*t**3 - 136*t**2 + 92*t - 24 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25009*w**3 + 774*w - 3*w**2 + 50013*w**3 - 25002*w**3 to b + j*w**2 + s*w + g*w**3 and give s.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11902 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -247 - -250. Let z be 10\/(160\/42) - g. What is the second smallest value in 5\/4, z, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 0)*(0*y - 3*y + 4*y) - 1 + 1 - 3*y)*(3 - 4 + 3).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - b + 83, 4*b = 3*j - b - 33. Suppose -5*f + 20 = -5, 3*u = 5*f - j. Solve u*l + 3*q = -q - 14, 0 = -2*l + 5*q + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**6\/90 - z**4\/18 + z**2\/6 + 6*z. Suppose o(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(13) - (sqrt(13) + sqrt(52)))*2 + 4) + -1 + 4.\nAnswer: -20*sqrt(13) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358539475, 717078950, 1075618423, 1434157894, 1792697363, 2151236830?\nAnswer: 2509776295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 294588 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 - (1*(-1 + 1) + 2 + -11923)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 1:25 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 - -1 - -19)\/(-2 - (-10)\/2). What is the nearest to -1\/5 in 41\/2, 2, -1\/3, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -184 less than -257023\/1400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 + z**2 - 7*z**2 + 2*z + 2*z**2 - 2*z - z**2 + 2*z**2 + 0*z**2 + (4*z - z - z)*(-4*z + z + z) - 2 - z**2 + 2 + 12*z - 12*z - 42*z**2.\nAnswer: -47*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(x**4 - x**4 + x**4) + 6*x**4 + 25*x**4 + 29*x**4.\nAnswer: 59*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 589 - 594, 3*t + 153 = -2*z. Let j = -168 - -91. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26661986687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u + 11*u + 2*u + 11*u to s*u + o and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a**3 + 2*a**2 + 2*a - 2. Calculate o(2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 254925 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i - 2*m = 70, -60 = -2*i + 4*m. Calculate the common denominator of 41\/10*18\/6 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9009120 a multiple of 1370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*n + 61, 3*c + 0*n - 70 = -4*n. Let y be 70\/c + 40\/(-220). Suppose -3*s = -8*s + 2*m + 1011, 4*s - 795 = -y*m. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-418)\/2*(3 - 2). Let y = -307 - b. Let k be ((-10)\/(-3))\/(y\/(-42)). Put -5, k, 5 in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 4944.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 47*n - 14. Let v(h) = 46*h - 15. Let o(f) = -6*g(f) + 5*v(f). Let l be (-1)\/1 - 8 - -2. Is o(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -0.12342457036?\nAnswer: 4.12342457036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 36. What is the least common multiple of 8 and f(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7475 - -0.4475. What is the fourth biggest value in 3, 0.29, m, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 63526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(1 + -8 + -8). Let s be 3*(-10)\/z*4\/8. Let c(f) = 5*f**2 + f - 1. Give c(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(33)\/(sqrt(12)\/sqrt(4)) + (sqrt(275) + -2 - sqrt(275)))**2.\nAnswer: -4*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:59 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1868, 0.067, 350.\nAnswer: -1868, 0.067, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432 (base 9) to base 11.\nAnswer: 2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86 - 41472\/(-480))*-120.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 15*f - 52. Let x be a(4). Solve -3*v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/12 + 9*n**3\/2 + n**2 + 124*n - 2. Is k(-31) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 386 + -374. Solve c - 28 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -12*m**2 - 86*m - 150. What is the smallest common multiple of 474 and l(-4)?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:27 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s - 1. Let u(r) = -r**2 + 20*r + 17. Let d be u(21). Let m(i) = -15*i + 4. Let q(g) = d*c(g) - m(g). Let z(l) = -2*l**2 - 2. Determine q(h) - z(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -31*i - 3*i + 66*i. What is the least common multiple of 2356 and i?\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.217294 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -121, -194, -227, -220, -173, -86, 41?\n\"Answer: 20*i**2 - 133*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 0 = 2*w. Suppose p - 40 + w = 0. Solve -5*o - 40 = 5*t, -4*t = -t + 4*o + p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*s - 40 = 0, -2*s + 0*s = -i + 14. Calculate the greatest common factor of 215 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845, 1689, 2531, 3371, 4209, 5045?\nAnswer: 5879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -12. Let d(v) = -v**2 - m + 6. Let h(p) = p**2. Give d(h(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 631*k**3 - 2*k**2 - 3*k + 3. List the prime factors of f(1).\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (42\/(-15) - -3)*5. Let r be y\/6 + 75\/(-18). Let f(p) = p**2 + 3*p - 5. Calculate f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7830 = 14*k. Let g = k + -261. List the prime factors of g.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.157405733 rounded to 4 decimal places?\nAnswer: -0.1574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 455*b. Let s(v) = 4*v**2. Give p(s(c)).\nAnswer: 1820*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15*-5766\nAnswer: 86490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52, -30, -152, -302, -468, -638, -800?\n\"Answer: 2*v**3 - 32*v**2 + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/1 - 2 - 178\/(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7977000 rounded to the nearest one hundred thousand?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -76. Suppose 69 = 18*y - x. Solve j = -z - 3*z - 25, -z = -y*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -614*d**3 + 22 - 632*d**3 + 1222*d**3 - d + d**2 to v*d + t + r*d**2 + q*d**3 and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 278711324 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819 = -14*d - 1833 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 14) + (-4)\/20*-15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 + (95 - 98 - -66).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282017228631601 - -0.1.\nAnswer: -282017228631600.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 2*n + 0 - 3\/2*n**2 + 1\/6*n**3. Let w be q(3). Solve w = 3*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p + 30*p + 35*p - 19119722 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:06 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874429843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, h: 1, a: 4, w: 1}. Give prob of picking 1 u, 1 a, and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4511243 (base 7) in base 9?\nAnswer: 1038668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 - 4*o - 2. Let b be p(-5). Let t(w) = w - 2. Let c be t(15). Let l = b - c. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508 = 2*y + 3*g, -2*y + 2*g = 6*g + 512. Let t = 354 + y. List the prime factors of t.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t*x**4 + 11127*t*x**3 + 636*t*x + 2*t + x + 2 wrt x?\nAnswer: -36*t*x**2 + 66762*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 2288\nAnswer: -2295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -690 - 39?\nAnswer: -6c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10815131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 - 161. Solve -v = -8*d - 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 y when four letters picked without replacement from {k: 1, y: 5, i: 2, o: 1, n: 3}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-143656)\/48*-4)\/(4\/12).\nAnswer: 2, 17957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -1 + 1 - (-364 + 329)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 198\/5, 1, 4, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8989 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46765319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 310546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + 1 + (-1 - 2). Suppose -a = 1 - g. Suppose -21 = -3*m + 3*q + 9, -4*m - a*q = -26. Does 8 = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - h**2 + 0)*(h + h - h) + h**3 - 3*h**3 - 2*h**3 + (-5 + 5 - h)*(-3*h**2 + h**2 + 3*h**2).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -53, -129, -259, -461, -753, -1153?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30653911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 377318, 377362, 377406?\n\"Answer: 44*f + 377274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1358, -2716, -4074, -5432, -6790, -8148?\nAnswer: -9506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 993890 divided by 198778\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2853\/27 + (-2)\/(-6). Suppose 2*q - 4*z - x = 0, z = -0*q - 3*q + 152. What is the lowest common multiple of q and 1?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 1. Let z = -134.8 - -0.8. Let x = z - -135. What is the nearest to x in 3\/5, o, -1\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682531730 a multiple of 3307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000173 rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 912 = 1132. Solve -3*b + 0*h = -2*h - 15, -4*b + 3*h = -t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 6*q + 5. Let a be o(5). Let j(m) = -m**3 - 5*m**2 + 12*m + 38. Let c be j(-6). Solve -6 = -c*t - a*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*n, -t + 4*n = 3*t + 76. Let m = t + 19. Which is the smallest value? (a) -4 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/6 + 8*u**3\/3 + 19*u**2\/3 - 52*u - 255\/2 = 0. Calculate u.\nAnswer: -3, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18437882*x**4 - 1704*x + 411 wrt x?\nAnswer: -221254584*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -45. Calculate the greatest common factor of w and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24264072 from 0.1.\nAnswer: -24264071.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - 0.36. Which is the nearest to -2? (a) t (b) 1 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 36*q - 275 = 0. What is the least common multiple of q and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 * -0.0266317\nAnswer: 0.8522144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (93\/(-12))\/((-174)\/(-88) - 2). What is the second derivative of -9460*b**4 + 331*b**5 + 9460*b**4 + p*b wrt b?\nAnswer: 6620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -363 - -462. Let x = -6959544.00562 - -6959643. Let z = x - b. Round z to four dps.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + m. Let b(q) = -4*q**2 - 2*q. Suppose -1 + 7 = -2*r, -3*o + 21 = -3*r. Calculate o*b(l) + 5*d(l).\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 1. Let y(k) be the third derivative of -k**4\/24 + 3280*k**2. Determine -2*h(w) + y(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/110 and -49\/3574?\nAnswer: 196570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/85 + ((-3327)\/15 - 3). Let z = 557 - u. Calculate the smallest common multiple of 20 and z.\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - l = 25, -17 = -3*n - 3*l + 13. What is the greatest common factor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (11 - -14) + -12 + -45\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c**3 + 4*c**2 - 2*c + 3. Let a = -27284 + 27280. Let b(m) = -23*m**3 + 9*m**2 - 4*m + 7. Determine a*b(n) + 9*d(n).\nAnswer: -7*n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409.998933527922 minus 3?\nAnswer: 1406.998933527922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 194, 4, 0, -2236 in increasing order.\nAnswer: -2236, 0, 4, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6374 - -1534. What are the prime factors of q?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5801843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 5 = 25 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166866864 divided by 2.\nAnswer: 83433432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/322 - (526\/(-42) - 2\/6). Solve -u*q = 5*q + 18 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5777 and 1602421381.\nAnswer: 1602427158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -13 in descending order.\nAnswer: 5, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 3. Suppose 5*c - 6*s = -s + 40, -5*s - 12 = -c. Let w be r(c). Suppose 4*i + i + 4*k = 33, -4*i + k + 18 = 0. Solve -i*q - 10 = w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175c80 (base 16) in base 3?\nAnswer: -2212210011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 931*k + 5916. What is t(-8)?\nAnswer: -1532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13849.\nAnswer: 11, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uooooou. What is prob of sequence ooou?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 4:21 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2013 - -9505. List the prime factors of j.\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49224 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than or equal to 2923\/525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -10. Solve -4*a + x - 1 = 0, -8*x = -2*a - 3*x + v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3105\/(-460) + 1*3\/4. Let q(p) = -p**2 - 2*p + 32. Calculate q(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*i + t, -5*i + 4 = -5*t - 11. Suppose 4*b + 3 + 1 = 0. What is the units digit of b\/(i\/(-2))*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*r - 101*r = -300. What is the first derivative of -66 - 60 - 50 + 47 + r*d wrt d?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (500\/30)\/(2\/27). What is the highest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 18.7.\nAnswer: -56.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - v - 2)*(v + 3 - 3) + 2 - 2*v**2 - 2 + 12*v - 21*v + 8*v + 33*v**2)*(2*v**2 - 2*v**2 - v**2).\nAnswer: -30*v**4 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjjh when four letters picked without replacement from jzzszzjzzhqqzqzzz.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12645)\/(-20))\/(6\/592). Let d = 116915\/2 - z. Let k = d - -78381\/20. Calculate the common denominator of -97\/18 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, t: 3, z: 13}. Give prob of sequence rzt.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 49.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3746.\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32907850?\nAnswer: 2, 5, 107, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + m)*(378*m + 226*m - 128*m).\nAnswer: -952*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -9. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/2 - 501*t**2\/2 - 745*t + 996 = 0.\nAnswer: -498, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 7*l**3 + 76 - 2*l**4 + 34*l - 27 - 36*l + 0*l**4. What is the third derivative of r(o) wrt o?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*1*3)\/(3*(sqrt(90) - sqrt(10))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148208.\nAnswer: 2, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -32. Suppose 2 = 4*u - h. Solve 2*s - s = u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i - 6*i**2 - 5*i**2 + 2 + 12*i**2. Calculate d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 24*y**2 - 34*y - 19. Let x be p(-23). Suppose 3*j + n + n = x, -4*j + 3*n = -312. What is the greatest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 67759*t**2 - 153162*t**2 - 2.\nAnswer: -220921*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 61 = 3*g + 4*b, -3*g + 3*b = -36. Let s = 5 + g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12537261?\nAnswer: 3, 11, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5 - (14 + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1090.8 + 1092.8. Sort -1\/6, c, 0.0107.\nAnswer: -1\/6, 0.0107, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243153649 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(192))**2 + (sqrt(192) + 0 + (-1 + sqrt(192) - sqrt(192)) + sqrt(192))**2 + 5 + sqrt(24)\/(sqrt(32)*6).\nAnswer: -383*sqrt(3)\/12 + 7686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/21)\/((-4)\/14). Suppose s = t*s + 3*v + 6, s = -4*v - 9. Solve -18 = -s*h - 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14.0791 weeks?\nAnswer: 141917.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 558492 or 558403?\nAnswer: 558403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/2 + 713*m**2\/2 + 1354892*m + 604794554 = 0. What is m?\nAnswer: -742, 2197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 266 = 2*f, 4*r - 4*f = 364 - 144. Let n be (20\/15)\/(6\/585). What is the greatest common divisor of n and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -0.09187.\nAnswer: -0.49187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 5*g - 20. Let j be w(7). Let u be 3\/j*(4 - 4). Let a = 4 - u. Solve -4*c - k - 2*k - 3 = 0, 2*k - 2 = -a*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69250033 is divided by 144.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*g - 157*g = 166*g + 352. Calculate the remainder when 3197 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*k + 1 = 0, 109 = -s + 31*k + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 4*g - 3. Let o be t(5). Solve -k - o = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*r = -41*r - 83 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6\/269, -5\/4, -5\/6, 0.5, 4?\nAnswer: 6\/269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/25, 1492.6, 0.08 in decreasing order.\nAnswer: 1492.6, 11\/25, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11976 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 52 = -5*b, 2*b + 8 = 5*z - 9. Let a(q) = -q**2 - 13*q. Let h be a(b). Suppose -h = -5*f + 58. Calculate the smallest common multiple of 2 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 531 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 394321 and 560232?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244378679 is divided by 322.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3 + 5. Let g(n) = 6 - 12 - a*n + n. Let v be 68\/(-12) + (-2)\/(-3). Give g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l. Suppose 0 = 6*i - 8 - 10. Suppose -2*v - i + 23 = 0. Let f(z) = -7*z + v*z + 8*z. What is g(f(c))?\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 195, 290, 257, 0, -577?\nAnswer: -1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 12*x - 14*x)*(0*x - 3*x + 5*x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {j: 3, c: 7, b: 3, q: 2, i: 1, z: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -101011?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v**(6\/11))**(-1\/4)\/((((v*v**5)\/v)\/v**8)\/(v**(1\/2))**(-1\/18)) assuming v is positive.\nAnswer: v**(289\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10724 = 334 - 3770. Is 30 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 7:54 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18153451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.1864 * -40.\nAnswer: 1047.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00361012 to five decimal places.\nAnswer: -0.00361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 4*s - 3. Let x be h(-3). Let j(f) = 18*f + 243. Let b be j(-12). Calculate the highest common divisor of b and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200211100201 (base 3) to base 12\nAnswer: 15a56a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 51, -1.785 in increasing order.\nAnswer: -1.785, -2\/7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + x + 24 = 0, -4*r + 0*r + 4*x = -32. Suppose -5 = 5*g, -g = 3*z - 59 + 21. Calculate the remainder when z is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u = w - 80, -13*w - 7 = -5*u - 9*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5313 and 1932.\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uguaogghgg. What is prob of sequence uga?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 2.51, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3 + 116*j**2 + 5 - 117*j**2 - 8*j. Let n be k(-11). Let t = 26 + n. Put 0, -4, t in decreasing order.\nAnswer: 0, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7. Suppose w*u + 5*u - 20 = 0. Solve -3 = u*x + 2*s + 13, -x - 3*s = -1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802976 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -6 (b) 5 (c) -0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-36))\/((-29)\/(-87))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*p - 8, 0 = 8*k - 4*k + 5*p + 13. Let q(b) = 19751*b**2 + 2*b. Let d be q(k). What is d rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**8\/1008 + a**6\/360 + 12*a**2. Factor m(n).\nAnswer: -n**3*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12*((-35)\/(-21) - 137\/(-6)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*18\/12)\/(9\/((-81)\/6))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -3*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 1472, 3299, 5846, 9107, 13076, 17747?\nAnswer: 23114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -5, 2\/117, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1602 = -3*b - 5*o, 4*o + 725 = -5*b - 1945. Let l = 806 + b. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -152, -151, -150, -149, -148, -147?\n\"Answer: p - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 + 3*o + 2*o - 3*o + 0 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.4, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -42596?\nAnswer: 42588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/4 - 26188643*p\/2 - 685845022181449\/4 = 0. What is p?\nAnswer: -26188643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 7*b**2 + b + 3. Let g(x) = 0*x**2 - 5*x**2 + 9*x + 3*x + 6*x**2 + 4. Let h be g(-11). What is v(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(-v**5 + 2*v - 2*v).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3 - 28. Suppose -15*d = -10*d - m. Let v = 0.03 + -0.23. Which is the biggest value? (a) d (b) v (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 - -106. Suppose 3*i = -c*b - i + 40, -5 = -i. Solve n = -3*n - b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -29*h**2 - 4*h - 2. Suppose 0 = 8*k - 92*k - 84. Calculate w(k).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -119*y**2 + 5*y - 12. Let v(w) = 358*w**2 - 14*w + 35. Let o(l) = 17*u(l) + 6*v(l). What are the prime factors of o(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iziz when four letters picked without replacement from {z: 4, w: 3, i: 1, n: 1, f: 2, b: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 0, 2*d - 1 = -2*f + 39. Let i(q) = q + 6. What is the remainder when d is divided by i(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 + 23161*g\/2 + 127446.\nAnswer: -(g - 23172)*(g + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -o + 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12))\/((-27)\/(-6372)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12345781 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21848.16 tonnes in grams?\nAnswer: 21848160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 1, g: 4, u: 6, c: 2}. What is prob of picking 1 g and 1 v?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 + 2*m**3 + 3*m**3 - m**3 + 2*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 38*o = -64*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 3*i**2 + 3*i - 7. Suppose r - 5*d = 13, -11 = -r + 4*d - 0*d. Let u be a(r). Solve -5*j = u*y, y + 3 + 4 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.74? (a) -2 (b) -0.0501 (c) 6 (d) -3\/5 (e) 1\/3 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6521?\nAnswer: 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -772051473.0000284 - -772051601. Let q = -125.617 + -2.383. Let n = q + m. What is n rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/244100693 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.103 and 0.57?\nAnswer: -0.05871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/4 + 235*n**2\/4 - 3422*n - 3481 = 0.\nAnswer: -1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + g - 5*g, -4*g = f - 0*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88813 is divided by 58?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3870670?\nAnswer: 2, 5, 23, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7795711 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -118 from 544806543115.\nAnswer: 544806543233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -302 - -647. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 5*z**2 + 100*z + 3 - 7.\nAnswer: -2*z**2 + 100*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(6\/(-12))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 7*q**2 - 8 + (-q - 2*q + q)*(0*q + 0*q + 4*q) to j*q + b + a*q**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 12. Suppose -4 = -5*v + 3*v, 12 = z - 2*v. Calculate the smallest common multiple of z and i(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.6355ml in litres?\nAnswer: 0.2056355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and 38 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76061 by -4.\nAnswer: 76061\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 3*s + 4. Let h be x(3). Let t(o) = o**3 + 5*o**2 - o - 1. Let p = -344 - -350. Calculate the remainder when p is divided by t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 10*3\/6. Let w = f + -2. Solve y - 2 = w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187857.\nAnswer: 3, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a factor of 53047925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 45 = d. Calculate the highest common factor of d and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2361*f**3 + 13*f**2 - 257726?\nAnswer: -7083*f**2 + 26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 3, n: 3, q: 3, x: 2}. What is prob of picking 2 q and 1 x?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1726 + 30947\/18. Calculate the common denominator of 83*((-3)\/(-2) + -2) and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**3 + z**3 + 0*z**3)*(-157*z - 983*z + 207*z) to q*z**2 + r*z**3 + w*z + b + j*z**4 and give j.\nAnswer: -2799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and -434.\nAnswer: -694.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 46 = -b - a, 3*b = 2*a - 25. Let c(m) = m + 13. Let z be c(b). Suppose 3*w + 4 = z*w. Put 2, -1, w in descending order.\nAnswer: w, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*r + 10*r**2 + 47*r)*(2*r**3 + 0*r**2 + 0*r**2) + 5*r**5 - 2*r**5 + r**5 - 3*r**5 - 3*r**5 + 7*r**5.\nAnswer: 25*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1764 - 1764 + 1005*c in the form u*c + n and give u.\nAnswer: 1005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -334.202369 to one decimal place.\nAnswer: -334.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 - 19*c**2 - 64*c + 11. Determine f(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2. Let o(x) = -2*x**2 + 13*x**2 - 5*x**2 - 5*x**2. What is o(p(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-8 + 6 + -4 + 3) - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 7*u**2 + u + 9. Let o(y) = -y**2 - 4*y + 5. Let x be o(-6). Let z be m(x). Suppose z*b + 3*b + 4*a = 275, 5*b - 275 = a. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**7\/5040 + d**6\/288 + d**5\/60 + 5*d**4\/6 - 3*d**2. Let q(v) be the second derivative of c(v). Find u such that q(u) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83448478 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddsddbdbddbsb. What is prob of picking 1 d, 1 b, and 2 s?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*16\/(-8) - -5. Suppose 43*v - 45*v = -m. Sort v, -8, 0 in increasing order.\nAnswer: -8, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 + 155 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = 36. Suppose 0 = -i - 2, -h = 3*l - 4*l + 5*i. What is the remainder when 6 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3943391 and -154?\nAnswer: 3943237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -1365755?\nAnswer: -1365755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -65*d - 1. Let r(f) = -54*f - 14. Let s(x) = 46*x + 12. Let j(o) = 6*r(o) + 7*s(o). Determine w(j(y)).\nAnswer: 130*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**7\/14 + 3*c**6\/10 - c**4 - 219*c + 137. Let n(o) be the first derivative of k(o). Solve n(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495694950 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)\/(2\/(-24)). Suppose -q - 3*q + 16 = -4*i, 2*i + d = 4*q. Calculate the remainder when q is divided by ((-1)\/2)\/((-6)\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:38 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -17. Find the second derivative of 16069 + x**3 - 16069 + 83*x + 3*x**q wrt x.\nAnswer: 6*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -1\/4*c**2 + 0 - 1\/4*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, p: 2, b: 4, f: 9, e: 1}. What is prob of picking 1 p and 2 n?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2397*a**2 - 12*a + 21*a + 12 + 2413*a**2 to z*a + f + l*a**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6055 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10104587.3771 less than -0.1?\nAnswer: 10104587.2771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**36)**(1\/37) assuming s is positive.\nAnswer: s**(36\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 + -74671?\nAnswer: -74742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23085 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 477018 <= 477010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 119 = -3*x + j, 2*x + 96 = -5*j. Let w = -19 - x. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + (-56)\/40)\/(21\/30).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*p + 26 + 28, 4*p + 3*r - 112 = 0. Suppose 13 = -p*k + 138. Solve k*z = 5 + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47925173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -389*i + 5057. What is t(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*(-10)\/(-5). Let r = -7 - o. What is the remainder when 19 is divided by (r\/5)\/((-16)\/200)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214364127 to the power of 1\/2, to the nearest integer?\nAnswer: 14641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 948 = -2*b. Is -1 - (b - (0 - 2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38660565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3487 = 319*j - 330*j. List the prime factors of j.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 216 + -2374\/11. Let b = 739\/11 + -67. Solve b*s**3 + 0 + 0*s**2 - p*s = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1188.6 - 1095. Let f = 94 - s. Sort 1\/8, f, -0.09, -0.3 in decreasing order.\nAnswer: f, 1\/8, -0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 84*p - 84*p - 8*p**2. Let q(h) = 2*h**2. Determine a(q(t)).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 + 45*y**2 - 122*y**3 + 4*y**2 - 773*y**3 - 56*y**2.\nAnswer: -895*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 151. Determine x(39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -208 - -221. What is the remainder when 24 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 544129848 to the nearest integer?\nAnswer: 23327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/29 (b) -2 (c) 0.0546 (d) 2\/7 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112927?\nAnswer: 112927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5679 - 5691. Sort -3, p, 5, -11.\nAnswer: p, -11, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10790 - -10880. Solve 2*h + 74 = i for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and -39739716919.52.\nAnswer: -39739716926.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times 804596.1\nAnswer: -185057.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c - 37. Let k be h(-9). Let s = 87 + k. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, -3, 7, 21, 39?\n\"Answer: 2*n**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103\/5 - 25. Let i = 207\/55 + v. Which is greater: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.7? (a) 1 (b) 5\/3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 5*n + 2. Let y be d(5). Let a = 231507 - 231507. Factor -4\/15*k**4 - 2\/15*k**5 + a + 0*k**y + 0*k + 0*k**3.\nAnswer: -2*k**4*(k + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-84))\/(30\/(-7)). Let f = 53\/180 - p. Factor 0 - 1\/2*a**2 - 1\/4*a**3 - f*a.\nAnswer: -a*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30392\/(-91176))\/(2\/(10\/(-3)))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 less than -0.8932006791?\nAnswer: 77.1067993209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9443663 is divided by 14484.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + -3)) + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 17668\nAnswer: -55\/17668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d**4*x - 2*d**2*x + 4*d*x + 96*x with respect to d.\nAnswer: -16*d**3*x - 4*d*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + ((sqrt(13) + (-4*sqrt(13)*-1 - sqrt(13)) - (sqrt(26)\/(sqrt(2) - (sqrt(2) - sqrt(2)*-1)) - sqrt(13) - sqrt(13)))*-4)**2.\nAnswer: 10196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(3 - 0) - -19. Let b(o) = -27 - f + 50 - o**2. Give b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + 6d?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 67*r + 64. Let i be s(32). Put i, -1, -4, -3 in ascending order.\nAnswer: i, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -71. Let s = -19 - h. What is the first derivative of -2 - 3*b**s - 4 - b**4 + 2*b**4 wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 13*u**2 - u + 17. Let o be h(13). Suppose -i + v = 4*v - o, -i = v + 2. Which is greater: -4 or i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**3 + 6*l**2 - 13*l + 7. Let i be j(1). Solve -2\/7*x - 2\/7*x**4 - 2\/7*x**i + 4\/7*x**2 - 2\/7 + 4\/7*x**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153\/(-34)*2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.36 + 412.54. Round c to zero dps.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 691 + -973. Is 14\/(-2) - (-22 - -16) - s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17208 (base 9) to base 4\nAnswer: 2320322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) -4\/7 (b) -846 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2450617 is divided by 130.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*l + 2 - l**3 - 3 in the form f*l**2 + s + i*l + r*l**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10866618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 490723\/3 + -163573. Factor -4\/3 + 17\/3*m - i*m**2.\nAnswer: -(m - 4)*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 31*q**2 + 1\/4*q**4 + 0 + 92*q - 1\/3*q**3. Find the first derivative of z(t) wrt t.\nAnswer: 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/(9\/(-144)*6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004388719976 rounded to 7 dps?\nAnswer: 0.0043887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2)\/(q*q**(-5)*q*q))**(-1\/21))**(2\/129))**(-39) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10332 = -0*g - 21*g. Suppose 490 = 2*b + g. Which is bigger: b or -5\/44?\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*i**4 + i**3*r**3 + 10*r**3 - 4*r**2 wrt i.\nAnswer: 88*i**3 + 3*i**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101873 + 24016 = 3*h + 3*y, h - 5*y = 41915. What are the prime factors of h?\nAnswer: 3, 5, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -2*y - 10, 15*d - 50 = -3*y + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, -261, -481, -701?\n\"Answer: -220*r + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t**3 + 10*t**2 + 11*t - 21. Is k(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 - (-1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/145523?\nAnswer: 2\/145523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 4*p - 2*p)*(6 - 1 - 3)*(13*p - 6*p + 5*p) - 8*p**2 + 3*p - 3*p in the form f + o*p**2 + s*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6*c**2 - 10*c - 32. What is r(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 - (3910\/46 + -31).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1, 2, -12\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, -3, 37 in ascending order.\nAnswer: -4, -3, 2\/3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12*3*(-19)\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/360, 4, -36, -0.51, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1362, -1180, -874, -450, 86, 728, 1470?\n\"Answer: -u**3 + 68*u**2 - 15*u - 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357 divided by -3.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041654 to seven dps.\nAnswer: 0.0000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 at least -7286.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 741*l - 11213. What is r(15)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) + 99\/22. Suppose -4*d + l*j = d - 44, 2*d + j = 15. What is the lowest common multiple of d and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q - 16005 = -4*l, -l = 4*q - 3996. What is l rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5*d**3 + 4 + 3*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3558*s + 7111. Give p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**8\/672 - 79*n**5\/120 - 7*n**4\/2 + 123*n + 1. Let p(c) be the third derivative of g(c). Differentiate p(u) wrt u.\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 + 19018*c + 1148280 = 0.\nAnswer: -60, 9569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6058 - -6074. What is the closest to 1\/4 in r, 1\/2, -42, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69364 - 48107. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 34*b + 43*b - b**2 - 415 - 8*b in the form h + k*b + r*b**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33780 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -874 or -762?\nAnswer: -762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*b + 73*b + 24 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -49 - 78\/5*a**3 + 66\/5*a**2 + 147\/20*a**4 - 24\/5*a - 6\/5*a**5. Let r(u) = 0. What is u?\nAnswer: 2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1281953 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 155 = -12*c. Let i(o) = -o**3 + 18*o**2 + o - 11. Let w be i(c). Let h(j) = j**3 - 7*j**2 - j + 9. Calculate h(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(304) - (sqrt(1216) + -3 + sqrt(1216))**2.\nAnswer: -4869 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-6))\/w*w**4*w**(2\/13)*w*w**(-3))**24 assuming w is positive.\nAnswer: w**(2544\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304*h - 5030 = -801*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 345708 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 40 = -4*b - b, -3*g + 176 = b. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 738, -3, -1, 45, -2.\nAnswer: -5, -3, -2, -1, 45, 738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 30*v + 44*v + 2*v.\nAnswer: -v**2 + 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.03 (c) 3\/4 (d) 0.5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192*b**4 + 100*b + 2?\nAnswer: 2304*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 393 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1691 (b) 10 (c) -5 (d) 0.1 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 496590, 496580, 496570?\n\"Answer: -10*s + 496600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 = 22*r - 525 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*u**4*z + 2*u**3 - u**2*z**2 - u*z**2 - 3169*z**2 wrt u?\nAnswer: -1332*u**2*z + 12*u - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16\/7, -169, 1\/132?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:45 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90.9137899 + -441.9139315. Let i = f + 351. What is i rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.05 and -121.\nAnswer: -248.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 29*p**2 + 5*p - 138. Determine g(29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(80) + -2))**2 - sqrt(80) - ((sqrt(80) - (sqrt(80) + (sqrt(80) + -5)*-2))**2 + sqrt(80) - sqrt(80) - sqrt(80)).\nAnswer: -416*sqrt(5) + 2604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 0 - (387\/(-4) + (-20)\/80). What is the highest common factor of m and 996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26801 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: Solve 52*o - 48*o = 5*z - 64 - 79, -100*o - 3698 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + 0)*2 + sqrt(75) + -2*sqrt(75) + -1)*-5 - 4*-4*(1 + sqrt(75) + -2))**2.\nAnswer: -1210*sqrt(3) + 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2015 + 2020. What is the nearest to -1 in v, -4, 6, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 12. Let n = -11 - -4. Let m = n + t. Which is the nearest to -1? (a) -3 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 1823696*v\/3 + 831466775104\/3.\nAnswer: (v + 911848)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9161 + 543 = 166*u + 2345 - 2103 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*70\/3. Suppose -3*o + 15 = -3*d, 4*o - q = -2*d + d. What is the remainder when 46 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*l - 53 = 0, -3*u = -4*u - l + 7. Let g = u - 3. Solve -j = -3*j + g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*i = 12*i - 10056 - 10144. Calculate the smallest common multiple of i and 2700.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmll. Give prob of picking 2 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*o = 25, -3*r + 2*o = -o - 51. Suppose -2*h - r = -0*h. Let d = 14 + h. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32195615 divided by 6439123\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*m + 10, -4*m + 8 = 4*w - 2*m. Suppose w*x + v - 11 = -2*x, -4*v - 19 = -5*x. Let d = -0.04 - -0.04. What is the closest to 0.2 in d, -4, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.527473 rounded to two dps?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 648*q**2 - q + 49345 with respect to q.\nAnswer: 1296*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 520? (a) -5 (b) 9 (c) -3\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 963 - 2911?\nAnswer: -1948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**2 - 42*w + 12. Let x be q(-6). Solve 5*d + x = 8*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*v + 31, -g + 3*g = -4*v + 4. Let o = g + 11. Let l(b) = -b**2 + 8*b + 3. Let h be l(o). Solve 2*m - 4 = -h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 10:53 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 439650*h**2*o**3*p**2 - 2*h*o**3*p - 13540*h*o**3 - 4*h*o*p + o**2*p**2 wrt h.\nAnswer: 879300*o**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**9\/3024 - f**5\/60 - f**3\/3 + 1. Let j(i) be the third derivative of m(i). Find the second derivative of j(d) wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 128*l**3 + 132*l**3 - 383*l**3.\nAnswer: -123*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 8*z**2 - 11*z - 15. Let i be a(-9). Suppose -i*j - 3 = -21. Solve 2*f = -2*n + 6, j = -5*f - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*q**2 + 8*q**5 + 11*q**2 - 3*q + q - 14753*q**3 + 14841*q**3 wrt q.\nAnswer: 480*q**2 + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 8:33 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3431 - 783*x + 779*x - 229 as y + t*x and give y.\nAnswer: 3202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -18 - (1 - -1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + v - 6. Let h be q(-3). Suppose -z - 12 = -l, -3*z = 3*l - h*z - 42. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 474016731?\nAnswer: 474016723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/609*(-56)\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024369971 to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1758\/5 (b) -0.3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -0.038, 0.5, -2?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/4 + 15*k**4\/2 - 45*k**3\/4 - 30*k**2 + 33*k = 0. What is k?\nAnswer: -11, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8*z = -3*z, 0 = -y + 3*z. Suppose y = 4*x - 20, x = -5*r - 25 + 80. Let g(d) = -d**2 + 10*d + 3. Calculate g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 + 2*u**4 - u**4 + (u - u**4 - u)*(41 - 15 + 73) to the form j*u + b*u**4 + c*u**3 + i*u**2 + v and give b.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3402863 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58314 is divided by 14571?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. What is the tens digit of (-20)\/(-1) + r + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 45.6, -3.\nAnswer: -3, 3, 45.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*o + 51*o + 55*o - 147828. Calculate the lowest common multiple of 1270 and o.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 5, v: 1, d: 2}. Give prob of sequence ti.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-80)*5 - 62258\/(-4). What are the prime factors of i\/54 - 2\/9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*f = -20, 2*s - 11 + 23 = -3*f. Suppose 24*w + 121 - 145 = s. Solve -g + w = 2*g + 4*v, -4 = 4*g + 4*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6c03 (base 16) to base 15\nAnswer: -82d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 6*l - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -453*b - 35001. Calculate t(-77).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3 - 153*t**2 + 87*t + 468255 with respect to t.\nAnswer: 3*t**2 - 306*t + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 11710?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1362 + 1602. What is the greatest common factor of 8040 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:03 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**2 - 223*j**2 + 105*j**2 - 2*j as b + t*j + w*j**2 and give w.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1959.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -463170?\nAnswer: 463148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -768*q**5\/5 - 924*q**2 + 1204*q. Find the first derivative of o(k) wrt k.\nAnswer: -9216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -10*s - 9. Let v(a) = 5*a + 4. Let w = -233 + 230. What is w*d(o) - 7*v(o)?\nAnswer: -5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + y + 2. Let r(q) = -3050*q**3 - 200*q**2 - 100*q - 200. Determine r(j) + 100*w(j).\nAnswer: -3050*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23ab (base 13) to base 9\nAnswer: -6822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/75 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-42) + 12\/(-7). Let i be 1*(x - (0 + 0)). Is 24 a factor of (-476)\/(-10) + i\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -421?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*v + 12, 0 = 9*v - 14*v + 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*n**2 - 21*n**2 + 9*n**2)*(293 + 595 - 211)*(-n - 2*n + n) in the form g*n + q*n**2 + x*n**3 + z and give x.\nAnswer: 54160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33949*m - 16871*m - 18401*m)*(4*m**2 - 6*m**2 + 0*m**2) to o*m**2 + j + s*m + d*m**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, q: 4, m: 1, y: 12}. What is prob of picking 3 y?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - ((-21854)\/38 - 6\/(-57)). What is the greatest common divisor of n and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44190.\nAnswer: 2, 3, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6 - ((-19760)\/(-585) + -34)\/((-2)\/(-363))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by -5?\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -172374 divided by 57458?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16374 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 559, -4, -17 in decreasing order.\nAnswer: 559, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 2. Let p be h(-1). Let f = p + 3. Calculate the common denominator of (-4)\/(-5) + (-1)\/f and 37\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084020.\nAnswer: 2, 5, 79, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 835187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73918*s**3 + 40*s**2 + 30*s - 19?\nAnswer: -443508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6110009 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 8. Let r be p(7). Let m = 6 + r. Suppose 32 - 12 = -m*k, 5*k = 5*o - 40. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**8\/56 - 31*b**5\/20 - b**4\/12 - 3*b**3\/2 + 12*b. Find the third derivative of p(k) wrt k.\nAnswer: 120*k**3 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538783039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13442\/23570925 - -2\/11815. Let s = w + -468641\/458850. Calculate the common denominator of 43\/20 and s.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 - -113.8545?\nAnswer: 116.5545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-320)*-10*12\/10\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 - 243*k - 573. Give m(-78).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 95?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*y = 88, -3*y + 2*y = -3*l - 68. Let w be ((-19)\/4)\/(2\/(-8)). Is l\/6*w\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 1\/24*t**4 + 0*t + 0*t**3 - 2*t**2 + 0. Let i(j) be the first derivative of -j**2\/2 - 717. Calculate i(s(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, -4\/3, -544\/7, 7.\nAnswer: -544\/7, -5, -4\/3, -0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 1 + 5 + 2*y**4 - y**4 - 3 as h + k*y + d*y**3 + q*y**2 + v*y**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45.4 and 0.12?\nAnswer: -5.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2156 and -101\/7546?\nAnswer: 15092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-3 + sqrt(91))*1)\/(6*sqrt(14)\/sqrt(2)) + -4*3*(sqrt(208)*6 - -4*(sqrt(26)\/sqrt(2))**2).\nAnswer: -865*sqrt(13)\/3 - 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(0 + 0 + 15)*(0*m + 0*m - m + (-4*m + m + 0*m)*(-2 + 0 + 0) + 2*m + m - 4*m) in the form b + p*m and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137525 is divided by 1050?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(-11)\/((b\/(b**(3\/7)*b*b))\/(b*b*b**1*b)))\/((b*b**(1\/8)*b*b**(1\/5))\/(b\/(b**(-4\/9)*b)*b**1)) assuming b is positive.\nAnswer: b**(11461\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 108. Let y = 2005407.9999976 + -2005440. Let k = y - o. What is k rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4470 - 5*c**2 + 2230 - 8*c + 2230 - 5*c - 2*c = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-40)*-2*(-9)\/3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*a + 172, 5*l - 75 = 3*a + 56. Let j = a + 51. Calculate the remainder when 16 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 + j**2 - 4*j + 2. Let u(s) = -12*s**3 - 4*s**2 + 17*s - 9. Determine 9*i(o) + 2*u(o).\nAnswer: 3*o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 - 109*l + 5. Calculate the remainder when 2496 is divided by a(19).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 442*q - 16*q**2 - 3*q**3 + 15*q**2)*(2*q**2 - 5*q**2 + 5*q**2).\nAnswer: -6*q**5 + 884*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 - -54. Let n(t) = -6*t**2 + 5*t + 2. Let k(b) = -5*b**2 + 5*b + 1. Let h(u) = i*k(u) + 3*n(u). Determine h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 6, j: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253092329.\nAnswer: 7, 36156047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {i: 1, f: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4481 - 4477. Solve -4*p - 32 = -0*n + 5*n, 0 = -3*p + t*n + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 4032?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 9*u - 4*b = -31, u - 4*b = -21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**4\/4 - 19*c**3\/3 - 17*c**2 + c + 24. Calculate q(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2755 - 4653?\nAnswer: -19a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*q - 21 = 0, -3 = 4*q - 11. Let u(m) = -3 + 3 - y*m**2. Let p(w) = -129260740 + w + 129260740. What is p(u(b))?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o + 14 - 14 + (1 + 1 - 4)*(15 - 3 + 0)*((-1 - 2 + 1)*(-o - 2 + 2) + 26*o - 1958 + 1958) + 3*o - 2*o - 3*o to the form m*o + s and give m.\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11394879 or -125343676\/11?\nAnswer: -11394879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + (-3 - 1) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let c(d) = -4*d**2 + 2*d + 2. Let b(f) = -9*f**2 + 5*f + 5. Let n(x) = j*b(x) - 5*c(x). Let g(t) = 12*t. Calculate g(n(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4 - (-3 - -2). Let q = 73.1 - 69.09. Let a = -3.71 + q. What is the nearest to a in -4, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005534.\nAnswer: 2, 1002767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 511405757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - n**5 + 3*n)*(2 + 16 + 6) - 23*n**4 + 23*n**4 + 13*n**5 + 2 - 2 - n**5 + (-3 - 2 + 4)*(-2*n**3 - 2*n**5 + 2*n**3).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*w - 5*s + 1, -2*s = 3*w + 4. Let q = 1 - w. Solve -d + q = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Let v be r(3). Let x = v - -11. Is x\/18*3*993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**(-3)\/g*g**(4\/7)*g**(-2)*g)\/(g\/g**(-6)*g*g*g**4\/g*g*g*g)**12 assuming g is positive.\nAnswer: g**(-1312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 5*g - 200. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0424019983529 and 4.\nAnswer: 3.9575980016471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 0 + 3\/2*m**4 - 147\/2*m + 189\/2*m**2 - 45\/2*m**3 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -419\/278 + 140\/139. Which is the smallest value? (a) -4 (b) -0.22 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37454811*s + 37454811*s + 7*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/4 + 20*u**3 + 5361*u**2\/2 - 123220*u - 37957921\/4 = 0. What is u?\nAnswer: -61, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.7 - 17.7. Which is bigger: o or -22\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -5*o**2 + 7. Let l(j) = -4*j. What is k(l(w))?\nAnswer: 40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -6, 172.1, -19, -0.2, 7.\nAnswer: -19, -6, -0.2, 5\/4, 7, 172.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3167 and -63?\nAnswer: -199521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 21330947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -15 - (0 + 3 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**4 - 16*f**3 + f**2 - 28?\nAnswer: 144*f - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + 0*x**4 + 3*x**4)*(3*x - 3*x + 2*x) - 1020*x**5 + 3198*x**4 - 3198*x**4.\nAnswer: -1014*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/10662 and 37\/378?\nAnswer: 671706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*a + 23, -2*h - a + 2 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(((v*v**(-2\/23)\/v)\/v*v)\/v))\/v**(-5\/9))\/(((v\/(v*(v\/(v\/(v*v\/v**10)))\/v*v))\/v)\/v*((v\/v**(-22)*v*v)\/v)\/v))**(2\/91) assuming v is positive.\nAnswer: v**(-10498\/18837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 17*k + 14. Let j be g(16). Suppose 4*n + 0*n = -8. Is n at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 16237 - i + 16223. Let v be (-1 + 3\/2)*12. Give s(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-120)\/(-65) - ((-45)\/39 - -1). Suppose -a = -8*y + 38. Let k be 6\/((0 + -2)*-1). Solve 4*m - x = 8, y*x = k*x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 528 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 166249040*w + 1727421456307600.\nAnswer: 4*(w + 20781130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 185\/222 - (-2023)\/6. Let z = f + -179. List the prime factors of z.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630700695, 1261401390, 1892102085, 2522802780?\nAnswer: 3153503475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - 17\/((-170)\/60). Suppose m + b = -p*m + 1683, 5*b - 5057 = -3*m. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3744 and -55\/36.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -337, 0, 5, 2\/7.\nAnswer: -337, 0, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 31. Suppose -x + 8 = -5. Calculate the remainder when 45 is divided by x + -10 - b*13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) 0.5 (c) 1\/3 (d) -0.0713\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55590 a multiple of 545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n + 26*n - 13*n. Let w(q) = -6*q. What is a(w(j))?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 196.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6208266ug in milligrams?\nAnswer: 0.0006208266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2945876313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1990308*w**3 + 4*w**2 + 3*w**2 + 5*w**2 + 3980588*w**3 - 1990283*w**3 - 12*w**2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -19. Let y be 8\/22*10\/(-20). Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 + 3*q - 3. Let f(k) = k**2 + 1. Let x(r) = 7*r**2 + r + 5. Let z be (-2)\/(-3)*(-3)\/2. Let h(o) = z*x(o) + 6*f(o). Determine 6*h(b) + 2*t(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 4*p**2 - 6*p - 3. Let r be j(-5). Let g(f) = 10*f - 1. Let b(i) = 2*i. Let c(s) = -2*s**2 - s + 4. Let u be c(-3). Calculate r*g(w) + u*b(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -8. Let u = -1.2 - -2.4. Let v = s + u. Which is the nearest to v? (a) -2 (b) 3\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - a. Let h(l) = -l**2 - 8*l - 10. Let q(n) = -h(n) - 2*k(n). Let x be (-9)\/1*(0 + -1). Is q(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(sqrt(684) + -1 + sqrt(684))*6 - (2*sqrt(684) + 4 + -2*sqrt(684)*1))**2*-1.\nAnswer: -56755600 + 511488*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 374, 616, 930, 1340, 1870?\nAnswer: 2544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -51, -4, 1, -237, 16, -1 in descending order.\nAnswer: 16, 5, 1, -1, -4, -51, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*-2*(sqrt(720) - (2*sqrt(720) + 4) - (1 + sqrt(720))*-2))**2.\nAnswer: -8064*sqrt(5) + 104464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, 12 in decreasing order.\nAnswer: 12, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(180))**2 + sqrt(180))*2 - (sqrt(35)*3)\/sqrt(7)*1.\nAnswer: 9*sqrt(5) + 5760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.753299 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuouuuuuuuouo. What is prob of picking 1 u and 2 o?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13390393 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 17*n**2 - 17*n - 8. Suppose -2*j + 15 = 5*g, -3*j - 5*j = -3*g + 55. Let x(a) = a**3 - 11*a**2 + 11*a + 5. Determine j*l(v) - 8*x(v).\nAnswer: 2*v**3 + 3*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1979716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53607 is divided by 25118.\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(2*3\/9). What is the second derivative of -2*j**2 + h*j**2 - 2*j**2 - 3*j + 6*j**2 wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0519 + 0.3481. Let u be 2\/(-15)*(7 - 1). What is the fourth smallest value in u, 3\/2, q, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15090.\nAnswer: 2, 3, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 100 + 116 + 114 - 341. Let p(h) = -h - 12. What is -2*p(x) + 3*w(x)?\nAnswer: 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(11599\/(-13256))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2652053 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1242 (base 15) to base 14\nAnswer: 15b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 5*v**2 + v + 2. Let z be g(-5). Let b be (-564)\/(-198)*z\/(-25). Let x = -4\/25 + b. What is the second biggest value in x, 3, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4899 + -8 + 15\/5. What are the prime factors of h\/(-20) - (-3)\/(-15)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145306 is divided by 1908.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:41 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(117) + -1 + -5.\nAnswer: -11 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, d: 5, v: 3, k: 7}. Give prob of sequence ckvk.\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 793 + 748 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22 - 0.6883.\nAnswer: -0.9083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -26.8. Which is the biggest value? (a) -0.4 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 108 (b) -1\/6 (c) 2 (d) -27\/2 (e) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q**2 + q + 3. Let x(y) = 12*y**2 + y + 2. Let u(f) = 2*d(f) - 3*x(f). Let j(o) = -5*o - 4. Let s be j(-4). Let l = 15 - s. Give u(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6758 and 97?\nAnswer: 655526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 5*l + 3*a, 79 = -16*l + 20*l + 5*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13217 is divided by 413.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95768?\nAnswer: 2, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89056886*s**2 - 1770*s - 385?\nAnswer: -178113772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*c = -104, -3*f - 4*c = -0*c - 89. Suppose 75 = -76*a + 101*a. What is the highest common divisor of f and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*c + 4 - 78*c + 2 - 1.\nAnswer: 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052899328 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 12. Let d be i(-16). Let a = d - 28. Suppose a*r - 2450 = 2*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18 - (-5)\/((-15)\/(-6)). Let o = -4 + 9. Suppose 0 = -5*w + 4*z + 28, -o*w + w + 41 = 3*z. What is the highest common factor of w and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 13. Let c be o(-10). Let w = 7 + c. Let t be (-6)\/(39\/(-30) + 1). Solve 5*r = t, w*r + r = -3*b + 26 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -15. Let f = x + -7. Is 0.9 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35166 is divided by 5397?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**2 - 6*q + 3. Let f be i(4). List the prime factors of 4\/(-6) - f\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 3:46 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 3*v**2 - 5*v - 1. Let d(h) = -h**3 - 2*h**2 - 3*h - 1. Let o(x) = -271*x + 274. Let s be o(1). Calculate s*f(m) - 5*d(m).\nAnswer: -m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 693*f + 778*f + 204*f to the form u*f + o and give u.\nAnswer: 1675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 6) to base 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/4 - l**3 + 32*l + 10. Let d be x(0). What is the highest common divisor of 352 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(175) + 1)**2 - sqrt(175)) + 4 + -1)*6.\nAnswer: 30*sqrt(7) + 1074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, -31, 2, 3\/4 in increasing order.\nAnswer: -31, -2, 0.3, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.364 - 1.574. What is the nearest to o in -0.02, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 93*t = -100*t - 323, -5*t = 5*f + 285 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*y + 3*y - 12, -2*h = 2*y - 8. Suppose 4*f - f - 25 = j, -f - 3*j - 5 = h. Suppose x = f*x - 72. Solve 3*s - x = 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5738, 5714, 5680, 5642, 5606, 5578, 5564, 5570?\nAnswer: 5602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 110*y**2. Let r(w) = -w**2. Determine f(r(z)).\nAnswer: 110*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*f - 69. Let z = 25 + -22. Suppose -4*a + 4*x + 27 = z, -5*x = -f. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, 0, 1, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - ((-846)\/12)\/(1\/6). Suppose -4*o = -2*s + 382, 1337 - w = 5*s + o. Calculate the remainder when s is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -9 - 3) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 548 (b) 3 (c) -16 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*w**2 + 34*w**2 - 27*w**2 - 99*w**2 to n*w**2 + y + o*w and give n.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 355 and 1143810?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -168, -338, -532, -762, -1040, -1378?\n\"Answer: -2*f**3 - 156*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y + 348. Let w be j(43). Suppose 2*b = -2*b + 12. Suppose -b = 4*v - 7. Solve -v - 3 = w*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 + 13*b - 22. Calculate a(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -215284 and 23.5127?\nAnswer: 215307.5127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, c: 6}. Give prob of picking 2 c.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 22. What is the units digit of c(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 17*n + 14. Let r(p) = -1. Calculate -d(x) - 4*r(x).\nAnswer: -17*x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (94*s - 94*s + 136*s**2)*(2*s + 4 - 4)*(3 + 1 - 3) in the form i*s + f*s**3 + k*s**2 + d and give f.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76327.31 meters to centimeters.\nAnswer: 7632731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.2 + -34.1. Let v = 187 + -185. Suppose 0 = 2*b - 8. What is the third biggest value in -0.11, t, b, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b + 5 = 0. Let n = -2 - -2.5. Let z = -0.12 + 0.02. What is the nearest to z in -2\/17, b, n?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -4, -2, 141?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 87*l + 1104. Give q(-17).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0028 (base 13) to base 3.\nAnswer: -112111211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-232*2\/(-48)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 187914.1.\nAnswer: 187920.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 1. Suppose 9 - 7 = 2*t. Determine q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110101010101011010 (base 2) in base 5?\nAnswer: -224124030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 2 (b) -0.1 (c) 4 (d) 1\/5 (e) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k*k)**(-42) assuming k is positive.\nAnswer: k**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.34 at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 (base 9) in base 16?\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233807999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = 15. Let u = -83 - -127. Suppose v*k - u = 28. Round k to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3240013 (base 6) in base 13?\nAnswer: -581c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikkkkkkikkkkii. What is prob of sequence ikkk?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (sqrt(90)*3)\/sqrt(2))\/sqrt(9)*-1.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*n + 684, 0*n - 3*n - 128 = -d. What is the remainder when d is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9787*s - 3*o = -9783*s - 0*o + 10, -4*s + 4*o = -32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -1.2946. Round d to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5681.96 millimeters?\nAnswer: 568.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -0.76. Let u = 0.26 - z. Let i = -95\/2 + 46. Which is the biggest value? (a) u (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(4232\/23)\/23\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/24 - 5*n**3\/3 - 6*n**2. Let j be g(-7). Put 0, -4, j in descending order.\nAnswer: 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 41 + 43 = 0. Let z be l\/1*(1 + -2). What is the units digit of -1*1 - z\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 8:54 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 83.071*-204.4\nAnswer: -16979.7124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - s)*(-s + 1 - 1)*(2 + 1 + 2)*(100 - 19 - 32).\nAnswer: 245*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 17 = -4*y - 15, 5*y = 5*s - 70. Suppose o - 4 = r - 13, 0 = 3*o + s. Solve 4 = r*n - 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274 + 213*h - 216*h + 262 - 33*h**2.\nAnswer: -33*h**2 - 3*h - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkj when four letters picked without replacement from {k: 5, j: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*j + 878 + 536 = 0. Let k(q) = 27*q**2 - 4*q. Let c be k(-4). Calculate the highest common divisor of j and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(-2\/3)\/m)*m)\/(m\/m**(-1\/11)))**47 assuming m is positive.\nAnswer: m**(5546\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.134, -0.4, -0.87 in descending order.\nAnswer: -0.4, -0.87, -1.134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (19 - 27) - (-1 + (-270)\/(-6))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-28)\/(-8))\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 12200201012022?\nAnswer: -12200201012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -3. Let b be l\/14 + 72\/7. Let u(w) = 14*w - 44. Let r be u(11). Calculate the highest common factor of r and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 30*s - 1089 = 6*s for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 9*g**4\/4 - 29*g**3\/6 - 20*g - 5. Let u(a) be the first derivative of v(a). Find the second derivative of u(n) wrt n.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3) + (3 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3568.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1 + 3*q - 5*q - q + (1 - 2 - 1)*(0*q - q + 0*q) + 0*q + q - 2*q)*(-7 + 1 + 1).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*b + 19 - 17 - 13*b - 26*b.\nAnswer: -163*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4054.\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -177 + 101. Let w = a - -70.4. Let c = w + 5.7. What is the closest to -0.1 in c, -4, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25825, 25420, 25017, 24616, 24217, 23820?\nAnswer: 23425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:18 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-135 - 5 - 100)*(-6*n**2 + 137*n**2 + 76*n**2 + 129*n**2) in the form m*n + q*n**2 + a and give q.\nAnswer: -80640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**9\/211680 - x**8\/70560 + x**5\/60 - x**2. Let i(m) be the third derivative of a(m). Find t, given that i(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2471636120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18531 and 6177?\nAnswer: 18531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((570\/(-24))\/(-19)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 12*b**2 + 14*b - 10. Let y be n(10). What is the greatest common divisor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1\/6, 2187, 0.028 in descending order.\nAnswer: 2187, 26, 1\/6, 0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00686629 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 2:22 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12556, -25122, -37688?\nAnswer: -50254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 9. Let o(k) = -4*k - 8. Let b(z) = 3*m(z) - 4*o(z). Let y be b(-7). Let h = 58 - 57.7. Sort y, -4, h in increasing order.\nAnswer: -4, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 4}. What is prob of sequence ykyy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -173*f - 1117. Is 8 a factor of w(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r**2. Let s(m) = 1361184*m**2. What is s(q(z))?\nAnswer: 87115776*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2128644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 3*f + 1. Let h(l) = -7*l**2 + 10*l - 2. What is -2*h(o) - 7*y(o)?\nAnswer: -7*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -66*a**2 - 12*a + 50. Let h be g(-15). Does 6 divide 2\/22 + h\/(-110)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 5*b = -6*r - 25, 5*r - 25 = -5*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -44?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 19. Suppose -3*i + x*f + 3 = 0, 5 = -i + 3*f - 0. Let z = -4 - -7. Solve y - 4 = -z, 5*h = -i*y + 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*n - 6. Suppose 4*s - y - 25 = 2*y, 3*s + y = n. Let w be -3 - -4 - (-1 + s). Which is bigger: -9\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73, -243, -515, -889, -1365?\n\"Answer: -51*y**2 - 17*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 41*x**3\/3 + 499*x**2\/2 + 34*x + 16. Calculate z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5190430.\nAnswer: 2, 5, 7, 74149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxsxxaxfxaxwxwxsax. What is prob of picking 2 a?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -557*o + 179?\nAnswer: -557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(1539) + sqrt(1539))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -36. Let k(c) = c**2 - 15*c + 30. Let v be k(13). Suppose -2*s = -2*d - 12, 4*s + 3*d + d + 8 = 0. What is the nearest to 0.2 in s, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -221 - 109. Suppose n = -2*n + x. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 30*m**2 + 29*m + 155. Let c be n(29). Is c less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1225488 and 128077?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, f: 1, c: 1, x: 1, g: 2}. Give prob of sequence fk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 31.85. Let f = y + 1.2. Let n = -0.5 - -1.5. Put n, f, -1\/2 in descending order.\nAnswer: n, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20287, 20279, 20271, 20263?\nAnswer: 20255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001430356 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70903 take away 0.0652?\nAnswer: 70902.9348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16641 (base 8) in base 12?\nAnswer: -4481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 14?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*o**2 - 7*b**3*o*p**2 - 10*b**3*o*p + 2*o**2*p**2 + 2*o**2 wrt o?\nAnswer: 6*b**3 + 4*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3, u: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04811 and -1?\nAnswer: -0.04811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7055 - -0.7. Round c to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-20)\/(3 - -1). Let m = 3 - p. Which is the second smallest value? (a) 5 (b) m (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60259 is divided by 655?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133.7109 + -5.2799. Let j = m + 139. What is j rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8035.319kg in micrograms?\nAnswer: 8035319000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 20, -7, -59.\nAnswer: -59, -7, -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -53.553.\nAnswer: -53.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*h + 168*h - 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.445169 + -26.5664. Round v to 3 dps.\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 times 1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2, 8, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460667 (base 8) to base 4.\nAnswer: 212012313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1409 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 7*b + 7. Suppose -11 - 9 = 3*i - 2*z, -2*i - 14 = -2*z. Let a(j) = -j - 5. Let y be a(-4). Let g(f) = f - 1. What is i*g(q) + y*n(q)?\nAnswer: 2*q**3 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 - -1) + -3)\/(-39 - -18). Suppose -4*n + 3*n - 6 = 0. Let f = -1168\/11 + 106. What is the second biggest value in f, n, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 98\/10 - (-1)\/5. Let k = -8 + y. Put 4, k, -0.2 in descending order.\nAnswer: 4, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71243.784 rounded to the nearest ten?\nAnswer: -71240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -1711, 280, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 2257*d + 2262*d - 102 = 5, 2*d = -3*i - 76 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*f**2*i**3 - 2*f**2*i**2 - 561*f*i**2 - 5*f - 1157*i**3 wrt i.\nAnswer: -96*f**2 - 6942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a**2 - 6*a**2 - 6*a**3 + 0*a**3 - 5*a**2 + 24*a. Let m(h) = -h**2 + h. Let v be 447\/(-18) - -1 - -10*(-8)\/480. What is v*m(r) + c(r)?\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/12)\/(2\/6). Suppose 6 = 3*l - 0. Let b = 29 + -32. Sort b, 3, c, l in decreasing order.\nAnswer: 3, l, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-91)*2322901 + (-6)\/39 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 346, 723, 1104, 1489, 1878, 2271, 2668?\n\"Answer: 2*k**2 + 371*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9124918*z**3 + 33318277*z wrt z?\nAnswer: -54749508*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d - 11. Let a(c) = -7*c + 6. Let m = 4 + -15. Let v(z) = m*a(z) - 6*r(z). Let t(g) = g. What is t(v(u))?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -259*w - 12. Let z(b) be the third derivative of -b**5\/30 + 4087*b**2. Give z(t(i)).\nAnswer: -134162*i**2 - 12432*i - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 5*a**2 - 3*a + 3. Let p be v(7). Let t be (-36)\/90 - (-556)\/(-10). Let j = t + p. Calculate the highest common factor of 36 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 0, 4*k - 2*u - 24 = -3*u. Let s be 30\/44 - k\/12. Which is the nearest to 0? (a) -4 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i + 2*i**2 - 194*i**3 + 0*i + 198*i**3.\nAnswer: 2*i*(i + 1)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d + 1. Let t(h) = h + 1. What is r(y) - 6*t(y)?\nAnswer: 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((13*w**2 + 2*w**2 - 2*w**2)*(5 - 2 - 2) + 0*w**2 + w**2 + w**2 + 56*w**2 + 10*w**2 + 19*w**2)*(-2 + 5 + 3) to g*w + q*w**2 + d and give q.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - 2*x + 4, -x - 42 = -5*q. Suppose -r + q = -26. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(980) - sqrt(40)\/sqrt(2)*3)\/(sqrt(810)*3 + sqrt(810) + 2*sqrt(810)).\nAnswer: -4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 38 = 2*o - 137, -3*o + i = -165. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28894837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -365 (b) -3 (c) 31 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2401 = -29*y + 51933. Does 28 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 68*p**2\/5 + 768*p\/5 - 576.\nAnswer: 2*(p - 12)**2*(p - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 268, -1, -2 in decreasing order.\nAnswer: 268, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = s. What is the remainder when (51 - s - 0) + 8\/(-2) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 341 = 1766. Let u(g) = 11*g - n*g**2 - g**3 + 72*g**2 - 2 - 10*g. Give u(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 - 6*w**2 - w + 17*w**3 - w**3 - 4*w**2 to the form c*w**3 + i*w**2 + h + t*w and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - 2*b**5 + b**5 - 2*b**3 - 14*b**5 + 2*b**3 + (-b + 3*b + 0*b)*(-b**3 + b**3 + b**4) - 5*b**5 - 6*b**5 - b**5.\nAnswer: -25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 276325578?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4 = 5*n - 2*g, 0 = 3*n - 3*g - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 23. Let o be (d\/(-12)*-8)\/((-1)\/(-2)). Suppose -7*f = -2*f + 25. Put o, f, -0.5 in descending order.\nAnswer: o, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let m(s) = 4*s - 8. Let h(z) = -20*l(z) + 2*m(z). List the prime factors of h(-7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2 - 9*c + c**2 + 2*c**2 - 2 - 8. Let d(k) = -7*k**2 + 18*k + 15. Let v(t) = -4*d(t) - 9*w(t). List the prime factors of v(-11).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193319.\nAnswer: 7, 27617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 18 - 11 - 2040*a - 131*a - 22.\nAnswer: -2171*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.212+-10.587\nAnswer: -10.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279419.\nAnswer: 7, 179, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1622 in -41.6, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*((-56259)\/4136)\/133?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/129402 and -55\/728.\nAnswer: 517608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -8*y - 15. Suppose 13 + 12 = y*s. What is the second derivative of 0*t + t**s - 2*t - 8*t**2 + 8*t**2 wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 6. Let d(j) = -5*j. Let q be d(p). Let i = 53 + -46. What is the highest common divisor of q and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/2 + 72*w**3 + 792*w**2 = 0. What is w?\nAnswer: -132, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*sqrt(384))\/(sqrt(12) - -2*1*sqrt(12)).\nAnswer: -80*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*f + 1 - 1)*(-106*f**2 + 2903*f - 2903*f)*(0*f + f + 0*f) to s*f + v*f**4 + o*f**3 + l + h*f**2 and give v.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1019549 to the nearest one thousand.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 1. Let n(v) = v + 1. Suppose 5*l + 27 - 22 = 0. Determine l*r(m) - n(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3420 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**3 - h**2 + 2*h - 1. Let t be q(1). Suppose -10 = l - 2*r, -2*l = 5*r - 4*r + 15. Let g = l + 7. Which is smaller: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2143144132 (base 5) in base 11?\nAnswer: -26a4a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -16. Suppose 5*d - 3*j - a = 3*d, 3*d + 4*j = 8. Suppose -2*s - 54 = -d*p, -p + 13 = -2*s - 2. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 + 7*h**2 - 7*h. Let s(t) be the third derivative of t**6\/120 + t**5\/30 - t**4\/12 - 57*t**2. Calculate 6*l(i) - 21*s(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 153*m + 20 = -156*m, 3*m + 25 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 33324?\nAnswer: 833100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w - 516. Let h(t) = 3*t - 260. Let o(s) = -13*h(s) + 6*z(s). Let u be o(30). What is the greatest common factor of 266 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let j be x(-3). Suppose 4*y - j*s - 20 = 16, 3*s = -2*y + 34. Suppose -4*b - b = -i - 15, b - 3*i = -y. Sort b, -3, 2, 3.\nAnswer: -3, 2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3838, 15365, 34584, 61501, 96122, 138453, 188500, 246269?\nAnswer: 311766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6428 is divided by 165.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*c, -3*g - 2*g - 3*c = -135. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 9786*g + 9659*g)*(-4*g + 3*g + 0*g).\nAnswer: 127*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o + 110 - 60 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1630*a + 2814*a - 1566*a = -28780 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -3\/7350163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-4) + (-5)\/(-10). Let n be x\/(-21) + 54\/7. Solve f + 5*y = n, -4*f + 0*y - 10 = -y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 10:53 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 6553 and -32.\nAnswer: 6521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 1. Let k(g) = -g. Let r = -448 - -443. Calculate r*k(b) + x(b).\nAnswer: 9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 71, 1\/2, 1\/3, -20\/19?\nAnswer: -20\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 41*v - 107. Let c(w) = -5*w + 1 + 3*w - 2*w - 2. Let s(k) = 6*c(k) + j(k). Differentiate s(p) with respect to p.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 2:40 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -176376*u**2. Let m(g) = 11*g. Give a(m(d)).\nAnswer: -21341496*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 + 6. Let p = 918450 - 918517. Put p, 3, s in decreasing order.\nAnswer: 3, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133628422 is divided by 360.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 401 + 42000?\nAnswer: 42401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (0 - 1) + 4. Solve 35 - 26*g - 3 + 36*g - 38*g - k*g**2 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(1\/9). Suppose 0 = -3*y + q + 9. Let o(t) be the second derivative of t**5\/20 - 5*t**4\/12 + 3*t**2 - 29*t. Calculate o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5910002*y + 10 + 3 + 5909769*y - 13.\nAnswer: -233*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1188983123 to the nearest one million.\nAnswer: 1189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*t**3 - 46 + 46 + 419*t**3.\nAnswer: 282*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 12*w - 1. Let b be g(-12). Let m be 8\/(-2)*b\/2. What is the third derivative of -18*a**m + 15*a**6 - 6*a**2 + 5*a**2 wrt a?\nAnswer: 1800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 10, a: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 e when three letters picked without replacement from {a: 1, e: 5, y: 2, c: 6, v: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.87 and -535?\nAnswer: 8490.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r. Suppose -47 = 20*j - 127. Let b(a) = -1743*a + j*a**2 + 1743*a + 8*a**2. Give b(d(x)).\nAnswer: 588*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38942 is divided by 364?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:25 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d. Suppose 4*o = 0, 5*o = n - d*n - 55. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6682295.63 to the nearest ten thousand.\nAnswer: -6680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(1 + sqrt(272)) - ((sqrt(68)\/(sqrt(8)\/sqrt(2)))**2 + 0 + sqrt(17) + sqrt(17) + -3).\nAnswer: -5 + 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8401 is divided by 1496?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -8. Let u be 8\/(-28)*v\/(-1). Let w be (6\/(-4))\/(301\/28 - 10). Which is the closest to 0.2? (a) u (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 60954a?\nAnswer: 60954a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1095.3 - -226.71. What is p rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdtytrrgyrrvyryygyg. Give prob of picking 1 d and 1 y.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 5*k = -14, 0 = 4*u - k - 150017. Is u a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 569463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 972.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3565075, -3565518, -3566263, -3567316, -3568683, -3570370, -3572383, -3574728?\n\"Answer: -q**3 - 145*q**2 - q - 3564928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31063604.\nAnswer: 2, 11, 13, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**5 - c**2 + c. Let l(d) = 23*d**6 - 2*d**5 - 35*d**2 + 2*d. Let a(y) = -l(y) + 2*v(y). Find the third derivative of a(h) wrt h.\nAnswer: -2760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131936 and 27776?\nAnswer: 527744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0142276 millennia in centuries?\nAnswer: 0.142276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 10\/(-6))*(-1 + -20). Let t = -38 - d. Calculate the common denominator of 178\/8*2*t\/(-12) and -5\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u**2 + 42*u + 3. Let l be o(3). Let m be 8\/20 + (-16)\/30. Which is the second smallest value? (a) m (b) l (c) -5\/4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*t + 2*b, 0*b = -4*b + 20. Let f = -16 - -10. Is t bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Let q(w) be the second derivative of -1\/8*w**4 + w**2 + 1\/3*w**3 + 2*w + x. Factor q(m).\nAnswer: -(m - 2)*(3*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4417*c + 6. Let t(l) = -8832*l + 14. Give -7*r(a) + 3*t(a).\nAnswer: 4423*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117103680 by -802080.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-485040)\/(-1191100) + ((-6)\/20)\/(216\/32 - 6)\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 275*h**2 + 10*h**4 + 20*h**4 - 12*h**3 - 32*h**4 + 16*h - 267*h**2 + 2*h**5 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1994, -15577, -52450, -124259, -242650, -419269, -665762, -993775?\nAnswer: -1414954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1\/13 (b) 7 (c) 3\/5 (d) -0.01 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 49243 (base 11) to base 3\nAnswer: 10121011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 52*t**2 + 23*t - 296. List the prime factors of r(28).\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5 + 672786*w**4 + 4036654*w**3 + 3363870*w**2 = 0?\nAnswer: -336387, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.1147 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 509034*f**2 - 38177546*f\/15 - 4\/3.\nAnswer: 2*(f - 5)*(3817755*f + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-10 + (-286)\/(-330)*15).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/(824\/16 - 49).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-164)\/(-656))\/(15\/2160)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403516131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atiusvt. Give prob of sequence st.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*u + 683*u + 220*u = 14650 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 787480 and 32995412.\nAnswer: 329954120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533300611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27044 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*(-1 - (-9)\/6). Let t = -2 - o. Suppose 0 = 5*f + t*v + 2, 0 = 5*f - 3*v + 5*v - 4. Calculate the least common multiple of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 330*v**2 + 651*v + 324.\nAnswer: 3*(v + 1)**2*(v + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24735 - -17057. Is l greater than -7678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = -17. Suppose -4*o + 23 = -0*o + 3*k, 0 = -o - 3*k + t. Solve -5 = 3*f + o*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.11397 days in microseconds?\nAnswer: 7526647008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhphpbbb. What is prob of picking 2 b and 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**8\/60480 - a**7\/5040 - a**6\/1080 - a**5\/60 + 3*a**2. Let t(v) be the third derivative of r(v). Factor t(b).\nAnswer: -(b + 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.940358l to millilitres.\nAnswer: 2940.358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223875 by -199.\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 28 = -0*w - w, 0 = 4*w - 5*x - 37. What is the tens digit of 12840\/36 + w\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 5*h - 11, -v - 13 = 2*h + 3*h. What is the third derivative of -2*u + v*u + 10*u**2 + u**4 + 0*u**4 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/7 smaller than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 499254941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 3948226*y**2 - 1948563042496*y - 1948559094272.\nAnswer: -2*(y + 1)*(y + 987056)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 152*d. Let l(v) = -102*v**2 + 5. Determine y(l(f)).\nAnswer: -15504*f**2 + 760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1028 (base 14) to base 2.\nAnswer: -101011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.046 - -1.454. Let x = z + -1. Let h = 351\/187 - 35\/17. What is the nearest to -1\/5 in x, 3\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((608\/(-360))\/(30\/(-45)))\/((-8)\/(-10))*6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 193776*t + 2569. Let u(i) = -377*i - 5. What is -2569*u(k) - 5*y(k)?\nAnswer: -367*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -169.1 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -51*x**4\/4 + 10*x**3\/3 + 7*x**2 - 25*x + 2200. Find the second derivative of a(p) wrt p.\nAnswer: -306*p + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*g + 4, g - 5*g - j = -3. Let x(b) = 16*b - 1. Let q be x(-2). Is (g - -57) + q\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 9. Let j = -4.1 + -9.9. Let w = j - -13.7. Which is the nearest to -0.4? (a) 5 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12 - 11)*(-5 + 0). Let j be (l + -2)*2\/2. Let c(y) = -24*y**3 - 13*y - 14. Is c(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-299)\/(3 - 10 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + 76 - (0 - 1 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 458 - 208. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 1383894.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-12))\/(-10*(-37)\/1554)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -15. Let s = b + -10.2. Let a = s - -6.200054. Round a to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 6*c**2 + 4*c - 10. Let n be d(-7). Let y = 15 - n. Solve -8 = u - y*t, -4*t - 5 = -4*u - 13 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62, 80, 118, 182, 278?\n\"Answer: s**3 + 4*s**2 - s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-30))\/((-12)\/10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2300 and 11264388.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - b)*(-b**3 - 4*b**3 + 4*b**3) - 2*b**4 + 3*b**4 + 0*b**4 - 177*b - 646*b - 4*b**4 + 6*b**4.\nAnswer: 4*b**4 - 823*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekq. What is prob of sequence ek?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006912.\nAnswer: 2, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2514301955.\nAnswer: 5, 11, 17, 244463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2 - 577 - 14312*d**3 - 3*d**2 - 352 + 931 + 169*d wrt d.\nAnswer: -85872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.011814, -5, -0.3 in decreasing order.\nAnswer: 0.011814, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 856\/(-3933) + 12\/54. Let x be ((-18)\/27)\/((-184)\/(-12) + -16). Is x bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, i: 8, v: 1, s: 2}. Give prob of sequence vl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31881, 31577, 31275, 30975, 30677, 30381?\nAnswer: 30087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*p**4 - 3184*p?\nAnswer: 1032*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 31*k - 9. Let l be w(14). Suppose 30*s = l*s - 42. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159228771 to the power of 1\/2, to the nearest integer?\nAnswer: 12619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogp when three letters picked without replacement from ogaxp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 6*c**2 - 8*c + 7. Let b be g(5). Suppose -5*z - 4 = 6, b = u - 5*z. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i + 97. Let r be q(19). Find the third derivative of 238*g**2 - 467*g**2 + 239*g**r - 46*g**3 wrt g.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 9*z + 29632 = 29872 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 3*a**2. Let p be d(3). Suppose -c + 6 - 1 = p. Let n(y) = -5 + 5 + 7*y - c*y. Let q(m) = m**2. Calculate n(q(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.12, -45, -5\/24, 3\/4.\nAnswer: -45, -2\/3, -5\/24, 0.12, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - -2498?\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40\/(-15) + 2)*3\/(-5). Which is the second smallest value? (a) -0.5 (b) -2\/29 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 1030*q**3 + 1249*q**3 + 2*q**2 - 302*q**3.\nAnswer: -83*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 105794066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = -2*z + 1785. Let f = z + -37. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from {i: 9, y: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -253948 times 6\nAnswer: -1523688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/3*993\/(-662). Let p(w) = -w**3 - 2*w**2 - 2*w + 4. Calculate p(n).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -656457, -657426, -659035, -661278, -664149, -667642, -671751?\n\"Answer: h**3 - 326*h**2 + 2*h - 656134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*z = 242*z + 19529 + 27323 for z.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 173, 287, 415, 539, 641, 703, 707?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.52824123 to 3 decimal places.\nAnswer: 6.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178\/24107 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 238*r**2 - 498*r + 5930. Determine i(236).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 2964.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.027? (a) -3 (b) 3 (c) -2 (d) 1 (e) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783078?\nAnswer: 2, 3, 130513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, 28, -16.\nAnswer: -16, 1\/17, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 4 - 4*b - 4*b**2 + 0*b + 2*b**3 + 2*b. Let x = -138 - -134. Let o(j) = -2*j**3 + 5*j**2 - 2*j - 5. Calculate x*o(n) - 5*i(n).\nAnswer: -2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.855608 kilometers?\nAnswer: 8855.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1001 and 102576331.\nAnswer: 718034317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/22326957 and 149\/342?\nAnswer: 44653914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 8.8, 1, 1\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*m + 0)*(1 - 1 + 2) + 358*m + 8205 - 8205 in the form s + i*m and give i.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((5 + sqrt(500)*2 + sqrt(500) - (2 + sqrt(500) + -1)) + (0 + sqrt(500)*2)*-3)*-4)**2.\nAnswer: -5440*sqrt(5) + 128289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -51 times -119087\nAnswer: 6073437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28598185 = 61*w + 16213391. Let g be ((-3201)\/2)\/((-6)\/992). Let b = g + w. What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z**2 + 52*z**2 - 23 + 9 - 4 - 2 in the form j*z**2 + d + p*z and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -436260 divided by 1\nAnswer: -436260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97a6b (base 13) in base 15?\nAnswer: 563a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 - ((-21 - -27) + 30)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7097, 7101, 7105, 7109, 7113?\nAnswer: 7117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*l = -27, -2*l + 14 = -x + 6*x. Let b(u) = -3*u**3 - 4*u**2 + 2*u + 2. Let o(z) = -2*z**3 - 3*z**2 + z + 2. What is x*o(s) - 3*b(s)?\nAnswer: s**3 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 13*r**2 + 3*r + r.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133670461?\nAnswer: 133670461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.408 less than -38.2?\nAnswer: -38.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 393, 438, 327, -18, -675, -1722, -3237, -5298?\n\"Answer: -13*j**3 + 136*j + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 2*q, -2*v - 5*q = -8. Let y = -345 + 349. Solve 2*f + 4*d = -f + 3, -y*f + v*d + 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 5*o - 5*g, 8 = 1914*g - 1913*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 913 + 15*k**2 + 66 + 67 + 66 + 642.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140364 is divided by 419?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**5\/20 + 5*m**2. Let c(w) be the third derivative of 0 + 5*w**2 - 1\/6*w**4 + 0*w + 0*w**3. Determine p(c(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + v - 3)*(-108*v + 108*v + 8*v**2)*(-2 + 3 + 1)*(-1 - 2 + 5).\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 - b - 3*b**2 - b - 1 + 3*b. Let f be s(2). Suppose 0*w + 4*w - 4 = 0. Solve -q - f = -w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1562*a - 1569*a - 2117*a - 2 + 5234*a.\nAnswer: -14*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 698 - -1?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15709.25l to millilitres.\nAnswer: 15709250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82796943*k**3 - 2*k**2 + 2932361?\nAnswer: -496781658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56717\/3 + -18718. Let s = 2731\/15 - z. Let y = 537\/385 + -17\/35. Find the common denominator of s and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1 - 1 + 1 - 5*a**3 - a**2. Let x be d(1). Is (-2)\/x - 324\/(-15) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 53. Which is the third smallest value? (a) m (b) -0.1 (c) 295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2496.61 * 3.\nAnswer: 7489.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236513052.\nAnswer: 2, 8461, 66083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8 = -4*d + 4*h, -3*h - 4 = -2*d. Find the third derivative of 5*z**4 - 13*z**2 + z + 9*z**d - z wrt z.\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350474 divided by -3?\nAnswer: -450158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -206, -495, -900, -1415, -2034, -2751?\n\"Answer: l**3 - 67*l**2 + 27*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 15 = 0. Let o be 37*c + 0 + -3. What is the tens digit of (2\/(-4))\/((-3)\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 8*k - 3*k**2 + (1 - 2 - 1)*(-k**2 + 3*k**2 - 4*k**2) + 370 + 67*k**2 - 370)*(0*k - 3*k + 2*k).\nAnswer: -68*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 41 = 2*u, w + 10*u = 5*u + 5. Suppose -2*v - 90 = -4*k + 20, -w = -3*v. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 936830080171\nAnswer: -936830080173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 - 898*x**4 - 172943*x**3.\nAnswer: x**3*(x - 1061)*(x + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*d**2 - 10*d**2 + 58*d**2 in the form y*d**2 + q + w*d and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7499 is divided by 748.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6651 and 262271.\nAnswer: 255620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -999, -1977, -2943, -3891, -4815?\n\"Answer: k**3 - 985*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16\/7, 9, -2, -3, -363, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 12. Solve l*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2 - 22. Suppose 5*c + 44 = -2*h + 12, -f*c = -2*h + 22. Let o be (-2)\/((-1)\/c*-3). Solve -7 = -o*p + 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 3*q + 2*k - 397, -2*k = 4*q - 890. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -2, -170?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*h + 12 - 28 = 0, -3*y - 10 = -4*h. Suppose -p + 0*p + y = 0. Solve -p = -4*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 35*v - 168. Determine z(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 1 + 4)\/((-66)\/(-4) - 0)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzwcwczzwzcczwzz. Give prob of sequence zcwz.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 8\/25, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11865 is divided by 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*-6*1\/(-14). Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78945360860089\/6919580 - 15317\/345979. Let s = 11413923 - o. Let n = -4946 + s. What is the common denominator of -83\/8 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let f = v + -1. Let y = 32 + -31. Calculate the remainder when f is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3981 - -0.0019. What is the fourth smallest value in -1\/3, 7, h, -24, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 444 - 251. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 52*w = 31*w - 979110. Does 308 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 24 = 5*z - 5*w, 3*w = -15. What are the prime factors of (-2)\/(z\/(-6)) - -9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(5 - 1 - 3)*(512*i**2 - 512*i**2 - 64*i**3) in the form b*i**3 + s + c*i**2 + v*i and give b.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 440980729 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -7 - 5) + -3 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from yfayyyyyayfa?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 0*q**2 - 204\/5*q**5 + 0*q**3 + 0*q**4 + 191*q + 71. Differentiate n(a) wrt a.\nAnswer: -816*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62223\/10 + -6230. What is the common denominator of q and -33\/85?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7595*d - 7588*d + 49 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 41*n**2 - 4*n - 4. Determine k(2).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/7)*m)\/m)**(-8\/5)*m**4*m*m**(-2\/13) assuming m is positive.\nAnswer: m**(337\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 14 + 4 = 0. Suppose 0 = -p*y + 134 + 52. Let w = y + 158. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25582 divided by 12791.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2317*t + 2313*t - 4638*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -108 (b) 3\/28 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*j - 10, -4*j + 22 - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(4\/5)*(v\/(v**(2\/5)*v*v))\/v)\/((v**(-4\/3)*v*v)\/v**12) assuming v is positive.\nAnswer: v**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 1, p: 7}. What is prob of picking 1 p and 1 k?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 + 238. Suppose 0 = 5*q - k*j + 141, 2*j + 2*j - 41 = q. Which is the second biggest value? (a) 1\/3 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 675 and 135.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 2399.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115366 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*3486\/(-5810)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 4 + 10 + -19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c - 3 = -30*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sspsspss. What is prob of sequence spp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(156))\/(sqrt(192) - -1*sqrt(192)))**2.\nAnswer: 13\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/23)*f)**8 assuming f is positive.\nAnswer: f**(168\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 5:50 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-207)\/4))\/((-1042)\/(-1563))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17806 = 17827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - n**2 - 21)*(-2*n**2 - 1 + 1) as c*n**4 + q*n**3 + o*n**2 + v*n + z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 76, 122, 184?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6702015 and 38712.\nAnswer: 4839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l - 2053 + 338 = 0. Calculate the greatest common divisor of l and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saac when four letters picked without replacement from aasaacasassasasaa?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - ((-28)\/4 - 0). Suppose -5*h = z*a, -h + 5 - 3 = 2*a. Let m be (-2)\/4 - (-11)\/30. What is the second smallest value in -2\/11, m, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 453061 - 84?\nAnswer: 452977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -418 + 245. Let q = l - -172.5. Which is the nearest to 0? (a) 5 (b) q (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -3*m + 0 - 1\/4*m**3 - 1\/8*m**4 + 0*m**2. Solve c(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*n + 100 = 91, -12*n = -b + 45 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21397 is divided by 49?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 9*g - 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssysssyss. What is prob of sequence yyyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 1891971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (57\/(-19))\/((-2)\/(-1524)). Let u = d - -3313. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 561736, 561737, 561728, 561697, 561632, 561521, 561352, 561113?\nAnswer: 560792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 164\/84 + 9 + 585\/(-63)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 5*g + 0*g)*(-g**4 - 2 + 2) + (-3*g + 5*g - 4*g)*(-4*g**4 + 4*g**4 + g**4) + 0*g**2 + 0*g**2 - 4*g**5.\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 1) + (-31 - -6 - -17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -288\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*v + 31 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/9 + -3 + (-7)\/(-3). Let s(u) = u**3 - 1. Determine s(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.41 or 22.8?\nAnswer: 22.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 21*d + 55. Let a be 21 - (d - 0)\/5. Calculate the highest common factor of a and 352.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 5. Let o be k(4). Let u be o\/(0 + -3 + 2). Suppose 5*l = 2*q - 0*q + 5, -3*q - 5*l + 5 = 0. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 15*p**5 + 2016*p**4 + 39939*p**3 - 37746*p**2 - 268860*p - 99000 = 0.\nAnswer: -110, -25, -2, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31459356 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000052828194 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x - 1. Let z be 4 + (-7 - -5 - -1). Suppose d = -2*j - 13, z*j = 2*d + 3*d. Let w(f) = 9*f - 3. Determine d*w(c) + 7*y(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11 + k**2 - 3*k**2 + k**2 + 7*k. Let x = 710 + -710. Suppose x = 35*s - 43*s + 72. Determine w(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n - 27. Let i(d) = -3*d - 13. Let m(z) = -5*i(z) + 2*v(z). Let b = -1 - -9. Is m(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*x - 35698 = -6*x, -h + x = -8923. What are the prime factors of h?\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001787657 rounded to seven decimal places?\nAnswer: 0.0001788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/4 and (-2)\/15 + 1988\/(-240).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121332704 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 2*c**2 - 1\/5*c**5 - 12*c + 2\/3*c**3 - 1\/3*c**4 + 0. Factor q(z).\nAnswer: -4*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 19*q - 116. Let j be i(-24). What is the second derivative of 13*o**2 + 17*o**j - 44*o + 128*o - 18*o**4 wrt o?\nAnswer: -12*o**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4 - 40*l**3 - 76*l**2 + 304*l + 528 = 0. Calculate l.\nAnswer: -2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5893853 or 5893857?\nAnswer: 5893853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 35 - 8. Let g be (-30)\/j*18\/(-15). Suppose -3*x = -g*x + 10. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 780 (base 12) to base 4\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29732\/(-8)*(-1)\/66. Let a = -709\/12 + s. What is the common denominator of 25\/18 and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 14*i + 4. Suppose k - 2 = 3*k. Let q(h) be the second derivative of h**3\/6 + h**2\/2 + 4960*h + 11. Give k*c(o) + 4*q(o).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1299.1 + -1299. Put c, -17, -2.6, -1\/5 in increasing order.\nAnswer: -17, -2.6, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q + 3 = -3*m, -m + 5*q = -23. Solve w + 23*w**2 + m*w + 8*w**3 - w**2 + 10*w**3 = 0 for w.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -6*k + k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(170))\/(6*sqrt(50)\/sqrt(5)).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -27*r - 32. What is the tens digit of n(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-14)\/44*198\/(-770).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.1 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35.28 * -5\nAnswer: -176.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 0*r**4 + 2*r**4)*(-75*r + 379*r - 580*r)*(3 + 3 - 5)*(-5 + 1 + 0).\nAnswer: 2208*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.049556, -1\/6, -2, 2\/9.\nAnswer: -2, -1\/6, -0.049556, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.1 + 16.1. Let v = -15 - -17. What is the second biggest value in -3, i, v, 0.02?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 6167449.\nAnswer: 3\/6167449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**4\/12 + 5*t**3\/6 + 3440*t**2. Suppose -6*x = -3*x + 24. Give m(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 5 + 2 + 0*o. Let n = 4 + 0. Suppose 0*t + n*l + 10 = 5*t, 0 = 4*t + 4*l - 44. Give x(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -52, -72, -110, -172, -264, -392, -562?\n\"Answer: -g**3 - g - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001000110100110 - 101?\nAnswer: -1111001000110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -7.1 (b) 2\/3 (c) 1515 (d) -0.2 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by 189628.\nAnswer: 81\/94814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582*f + 123*f**2 - 195*f - 195*f - 192*f.\nAnswer: 123*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -fa?\nAnswer: -fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75384563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261623316?\nAnswer: 2, 3, 21801943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/9, 5, 51, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 765, -899, -3521, -7095, -11615?\n\"Answer: q**3 - 485*q**2 - 216*q + 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-183)\/(-122)*2\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6259 + 6310. What is the greatest common factor of 1275 and s?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3.7. Suppose -306*r = -308*r. Which is the closest to 1? (a) -4 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 6. Let m(b) = 65*b**2. Give m(l(z)).\nAnswer: 260*z**4 + 1560*z**2 + 2340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 0. Let v be ((-4)\/(-14))\/(f\/7). Suppose -2 = 16*b - 18*b. What is the nearest to b in 2\/5, 4, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -14, -804105 in increasing order.\nAnswer: -804105, -14, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.7 + -15. Let j = 3.3 + d. Let c = -4 + 3. What is the nearest to 1\/3 in 2, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/424? (a) 1 (b) 0 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 4*h + 7. Let j = -12 + 14. Let m be j + (1 - 0) - 27. Let f be 30\/m*4\/(-1). What is o(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -315448 at least -315572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/80166 and 14\/1293?\nAnswer: 80166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 9. Let h(i) = -1 - 3 + 0 - i. Let y(t) = -9*h(t) + 4*m(t). Let d(o) = -7*o**2 - 6*o**2 + 7*o**2 + 16*o**2. What is d(y(v))?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5*4\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/5)*r**(-1\/4)*r**(2\/5)\/r**(-1) assuming r is positive.\nAnswer: r**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-20) - (-674)\/8. Let x be ((-68)\/5)\/((-2)\/120). Suppose -4*v - g = -x. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.018 and 0.4091203712.\nAnswer: 0.4271203712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (1 - 0)*-7. Suppose 0 = 5*v + 4*w + l, -v + 4*v = -3*w - 9. Suppose -3*f = -2*j - 333, -f - j + 0*j + 116 = v. Does 40 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -5 + -1 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 2 - 12*r**2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -53*t**2 - 22*t + 20. Let s(x) = 26*x**2 + 12*x - 10. Let u(q) = -6*k(q) - 11*s(q). Differentiate u(f) with respect to f.\nAnswer: 64*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-3)\/15)*99\/726*-143?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxcgggyononggooyx. Give prob of picking 1 c and 1 g.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 9. Which is the smallest value? (a) w (b) 4\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/3, 5, 249, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1774424 greater than or equal to -1774486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*h - 12. Let a = -1 + h. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v = -101 - 129 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4509, -4511, -4513, -4515?\n\"Answer: -2*n - 4507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34970604800 rounded to the nearest 1000000?\nAnswer: -34971000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 + 3. Let z(h) = 3*h**2 + 2. Let v(r) = 4*t(r) - 6*z(r). Let o(s) = -49*s**2. Give o(v(x)).\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/19897?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 2*m - 4 + 5*m + 2*m.\nAnswer: 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s + 18 - 9*s**2 - 20 + 2*s**2. Let m(k) = -8*k**2 + 6*k - 3. What is 3*m(l) - 4*q(l)?\nAnswer: 4*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8773 = 12*s + 8569 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814445 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 855\/(-228) + 1\/(-4). Let s(f) = f**3 + 4*f**2 - 10*f - 37. Let c be s(g). Factor -2 + 1\/2*w**3 - c*w**2 + 9\/2*w.\nAnswer: (w - 4)*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.193 in 2, 2\/21, 2\/3, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 2. Let r be c(1). Solve 3*a - a + r*j = -20, -4*a = -j + 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1 - 6 + d + 5. Let p(k) = 7*k. Let i(v) = p(v) - 5*u(v). Let y(x) be the second derivative of 2*x**4\/3 + x. Calculate y(i(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -43 (c) 1487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.815901 and -11.\nAnswer: -2.184099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trextxettttt. Give prob of sequence texe.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2166*h. Let n(v) = v - 107580. Give w(n(k)).\nAnswer: -2166*k + 233018280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -5*j. Suppose j*t - 4 = t. List the prime factors of t\/(-6) - (-497)\/21.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, x: 16}. Give prob of sequence ooo.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 243826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + -150. Let q = i + 742. List the prime factors of q.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 496 + -491. Let g(b) be the first derivative of 0*b**2 + 0*b + 0*b**3 + 0*b**4 - 2 - 2\/15*b**r. Factor g(k).\nAnswer: -2*k**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 1001016*s - 62627064516.\nAnswer: -4*(s + 125127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*w + 29*w - 2695 = -133*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*l + 40, -1 = a + 5*l - 9. Let w be a\/12 - 6101\/(-126). Let r = 358\/7 - w. Find the common denominator of -86\/15 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -323 + 323 - 28*l + l + 1 - 1 + (2*l - 4 + 4)*(0 + 2 - 1) + 2 + 2*l - 2 + 2*l + 0*l - l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106334221632 - -106334220473.99999531. Let b = k + 1158. What is b rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6697124, 13394231, 20091312, 26788355, 33485348?\nAnswer: 40182279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8712440?\nAnswer: 2, 5, 11, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 15) in base 8?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-45))\/((-26)\/(-10))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2827305, 2827277, 2827249, 2827221, 2827193?\n\"Answer: -28*g + 2827333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/11)\/(z\/(z\/(z**2*z)*z)))\/(((z\/(z*z**(-2\/11)))\/z)\/(z*z*z**(-1\/8))))\/(z**(-1)*z**(2\/13)*z*z**(-1)*z\/z**(-2\/5)) assuming z is positive.\nAnswer: z**(-243\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 205.9395 - 206. Round h to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364973.\nAnswer: 7, 17, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2802819910 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -13. Let k(g) = j*g**2 - 3 + 0*g - 4*g**2 - 12*g + g**2. List the prime factors of k(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(432) + sqrt(432))**2*1 + sqrt(15)\/(sqrt(5) + sqrt(5) + (sqrt(100)\/sqrt(2))\/sqrt(10) + sqrt(5))).\nAnswer: -1728 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let w(v) = -64*v**3 + v + 1. Is w(t) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -39*u + 11. Let f(j) = 2. Let c(t) = -t - 10. Let h(r) = c(r) + 5*f(r). Let w(y) = 4*h(y) - p(y). Find the first derivative of w(m) wrt m.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 12 + 1 + 2*w + 6 - 5*w.\nAnswer: -3*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/((-43875)\/(-78)) + 562\/(-18)*1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 4. Let q be 110\/132 - (-46)\/(-12). Let p be -5*q\/(-9) + (-1)\/3. What is k(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 656 + -2551. Let l = r - -2792. Is 25 a factor of l\/12 + (-12)\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*t - t - 31, 94 = -3*k - 4*t. Let g be k\/(-8)*20\/15. Put 3, g, -3 in ascending order.\nAnswer: -3, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-440)\/(-180))\/11*36\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*y - 1433 = 10062. What is the remainder when y is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = -29 + 65. Suppose i*f + 3444 = 15*f. What is the remainder when f is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*z - 11*z - 10*z - 10*z - 2*z - 22*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*k + 1, 3*k + t - 41 = -44 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**2 + 11*w + 13*w**3 + 13*w + 91 - 26*w - 91.\nAnswer: 13*w**3 - 21*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21524*k**4 + 1043*k**2 - 31617356*k wrt k?\nAnswer: -258288*k**2 + 2086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 e when three letters picked without replacement from hkgpgpe?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (163580\/12481154)\/((-5)\/7)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261 (base 9) to base 3.\nAnswer: 22001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/7)\/(w\/w**33*w*w)*(w\/w**(2\/117))\/(w*w**39*w) assuming w is positive.\nAnswer: w**(-7853\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/(-880)*8)\/((-1)\/5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4753*y**2 + 6*y - 1. Let m(r) = -r**2. Calculate b(m(i)).\nAnswer: 4753*i**4 - 6*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -414*r. Let d be t(-1). Suppose 11*c = -7*c + d. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 1235.\nAnswer: -74.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 1. Let t = n - 0. Let f(s) = -s**3 - 2*s**2 + 3*s - 4. Is 8 a factor of f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-78)\/(-3)*11)\/(4\/2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 57. Find the third derivative of 102*h**3 + 43*h**2 + 86*h**2 + 21*h**2 - o*h**2 wrt h.\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 15*z - 7061 + 143769 = 0. Is z bigger than -6213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19112 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69837329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-108)\/24*158\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29218, 29800, 30770, 32128?\n\"Answer: 194*y**2 + 29024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofo when three letters picked without replacement from ofo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/11 + 646*k\/11 - 373800\/11 = 0 for k.\nAnswer: -623, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218573816 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30270, -1\/10, -4, -31\/5, 4 in increasing order.\nAnswer: -31\/5, -4, -1\/10, 4, 30270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/2 + 3844215*t**2 + 4926027075651*t\/2 + 19703862273612.\nAnswer: 3*(t + 8)*(t + 1281401)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15502716 by -6.\nAnswer: -2583786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 3 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -141*u**4*v + 40*u*v - 56679*v wrt u?\nAnswer: -564*u**3*v + 40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2268\/1890 + 248\/(-215) + 5156\/(-86)*-1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*y - 3*q - 65, -y + 13 = 3*q. Suppose 0 = 51*n + y*n + 335. Let x(i) = -6*i**2 + 4*i**3 - i - 5*i**3 - 5*i + 1. Give x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 11. Calculate the remainder when 233 is divided by h(18).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1053095.1 hours to days.\nAnswer: 43878.9625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -f - 164, -5*z = 4*f - 101 - 43. Let j be (-20)\/100 - z\/(-10). Suppose -j*r + 0*r = -72. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.01290451 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117113 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14983845 to the power of 1\/2, to the nearest integer?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -521.\nAnswer: -312.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 22*y + 824. What are the prime factors of h(102)?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 1\/6 (c) 6\/7 (d) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2203.2 + -21013.\nAnswer: -23216.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 9. Let k be u(-6). Suppose 24*z - 29*z = 0. Does 12 divide k\/(1 - z) + 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let b(s) = -6*s - 5. Let u(z) = b(z) + 4*q(z). Let c be u(-5). Let r be ((-4)\/(-10))\/((-2)\/(-100)). Solve 0*a = c*a + r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157a (base 12) in base 4?\nAnswer: 213232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 310 - 242. Find the second derivative of -j*f + 216*f - 78*f + 108*f**2 wrt f.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3813948*t**5 + 22*t**2 - 124*t - 347.\nAnswer: 228836880*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.985 + 2. Round w to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus 0.275?\nAnswer: 0.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 47*h**4\/6 + 40*h**2 - 80*h. What is the derivative of i(v) wrt v?\nAnswer: 188*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20862199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1469*s**2*x**3 + s**2*x + 379*s*x**2 - x**2 wrt x?\nAnswer: -8814*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 168, 238, 308, 378?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m = 1169 - 278. Which is the closest to m? (a) 3 (b) 1\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbwbwwwwbwb. Give prob of picking 2 b.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10010100110010011101010?\nAnswer: 10010100110010011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 8 + 537)*(-2 - 3 + 4)*(-4 + z + 4).\nAnswer: -488*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.7738+0.30871\nAnswer: -2.46509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15821129?\nAnswer: 19, 31, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64897, 64327, 63757, 63187?\nAnswer: 62617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**5 + 51*u**4 - 57*u**3 - 51*u**2 + 54*u = 0. Calculate u.\nAnswer: -18, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*j - 2*j**2 + 5*j**2 + 139*j - 278*j - 124 as r*j**2 + z*j + b and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 - 1 - 5) - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 21 = 2*m - 0. Let r be 70\/(-25) + (-1)\/5. Let t = -3.98 - 0.02. Which is the nearest to -1? (a) t (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7821924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48112296 or -48112297?\nAnswer: -48112297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*c + 98*c = -11. Which is smaller: -9\/5 or c?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**3\/3 + 11*f**2\/2 + 5*f - 3. Let x be h(-11). Suppose -x*o = -33 - 32. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -4, -3\/5, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009027 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 36 = 4*t + 3*u, 3*t - 17 = -u. Let p = -36 + 38. Let o be (23 + -24)\/(p\/(-20)). Solve -t*r = -9*r + o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z. Let k(o) = -88*o + 111*o - 3 + 3. Give k(m(n)).\nAnswer: 69*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 36. Let n = 2 + 47. Let k = w - n. What is k rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let l(y) = -14*y**2 + 16*y**2 + 7*y**2. Determine u(l(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42 - 42 - 106\/4*-2. Suppose 0 = -2*g + 2*n + h + 33, -2*g + 87 = -3*n. Calculate the remainder when 97 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -99)*4\/6. Let s = -32 - p. Suppose -t + 5*r = -13, -s + 101 = 2*t - r. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80369755234)\/(-28)*(-1)\/(-399158169). Let j = 63\/2830909 - f. Let d = j - -8\/329. Calculate the common denominator of d and -139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1847823527 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.573925982 to 3 dps.\nAnswer: 2.574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, w: 3}. What is prob of sequence cwc?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 + 3. Let s = 71.934 - -0.066. Let l = 72 - s. Which is the nearest to l? (a) o (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 29.999976. What is j rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11471671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*j**5 - j**4 - j**3 - 849*j.\nAnswer: -360*j**3 - 12*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - 668\/(-14). Let q = 7 - -21. Let c = q + -12. What is the greatest common divisor of c and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 14 - 210*q - 179*q + 393*q. Determine v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - -7420?\nAnswer: 7397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 6*(91 - (9 - 6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1640560 and 41014?\nAnswer: 1640560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/2 - 15*h\/2 + 22 = 0. Calculate h.\nAnswer: 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*((-8)\/6 + 2). Suppose l*o = 7*o + 495. Let t = 162 + o. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-4 + 0 + -4 + 14 - (1 + 9))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d + -13?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/3 (c) 172 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 6*z**2 - 2*z + 4. Calculate w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -26*r + 46*r + 9*r**2 - 42*r + 9. Let x be k(-11). Round x to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3178 by 261994.\nAnswer: -1589\/130997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268196.\nAnswer: 2, 67049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/12 + 5*d**3\/6 + 327*d. Let n be 2 + 0\/(-1) + (-1 - 2). Let j(m) = m. Calculate n*x(b) + 6*j(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -5896519.23245?\nAnswer: -5896519.53245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 45*x - 7. Is z(10) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p**2 + 0*p - 5\/7*p**5 + 3\/7*p**4 + 2\/7*p**3 + 0.\nAnswer: -p**3*(p - 1)*(5*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 2*y = 40. Let k(i) = 31*i**2 + 7*i + 5. Let d be k(y). Suppose -6*n = -d + 61. List the prime factors of n.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in 2\/5, -0.1, -4, -93?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7315291927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*q + 6*q - 2055, -5*q - 1021 = -2*f. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -23\/1298205?\nAnswer: -23\/1298205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 31141160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35428 and 1564.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 268720806 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148541 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = -2*k + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u - 1. Let g(r) = 5*r**2 + 9*r - 4. Let c(v) = g(v) - 4*k(v). Let x be c(-5). Let a be (1 - x) + (-9)\/(-3). Put -2, -4, a in ascending order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-11 - -6) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - (0 + 1)) + -1 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 326603.9 meters?\nAnswer: 326.6039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 - 4*u - 3. Let s = 329 + -231. Calculate the remainder when s is divided by f(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 5*i**2 + 6*i - 5. Let d be o(3). Let g be (1 + d)*(0 - -1). Sort -1, -3, g in decreasing order.\nAnswer: -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.9 - 50.5. Which is the fourth smallest value? (a) -2 (b) -3 (c) 0.2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.47 - -0.87. Which is smaller: k or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - 7\/((-16576)\/12708). Let f = s + -5\/16. Which is the closest to 1\/3? (a) -2\/3 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 45*y + 5. Let n be i(11). Let g(r) = -5*r**3 + 2*r**2 + 4*r - 6. Is g(n) a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d + 3*w - 555, 0 = -d + 2*w + 98. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = x - 128, -5*x + 7*j = 4*j - 624. Suppose 0 = 5*s - 77 + 457. Let g = x + s. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*o - 2*l, -2*o + 3*o + 4*l - 7 = 0. Suppose o*t + 2*t = 20. Suppose 0 = -t*x - x + 300. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t + 3. Let n = 10238\/19 + -539. Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-222)*(-72)\/120*5\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 127 = -3*o - 97, 55*f = -2*o + 503 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5 - 9*w**4 + 9*w**3 + 21*w**2 - 18*w = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/16? (a) 1 (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -131 divided by -1\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 + 18*b**4 - 17*b**4 + 0*b**3 - 3 in the form g + o*b**2 + z*b + s*b**4 + p*b**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.541 + -0.041. Let m = -0.2 + 4.2. What is the second biggest value in a, -3\/8, -4, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - 72?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**3 + 7*h**2 - 5*h - 5. Suppose -s - 12 = 17*m - 20*m, -2*s = 3*m - 21. Let t(p) = 5*p**3 - 7*p**2 + 4*p + 4. What is m*t(f) + 4*c(f)?\nAnswer: f**3 - 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.500009 + -24.5. What is a rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23458*f*l**2 + 50*f*l + f*s + 5*l**2*s + 5*l*s - 2*l + 7 wrt l?\nAnswer: 46916*f + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-8)\/(-6)*6. Let r be (2964\/(-10))\/(-6) - 6\/(-10). Let w = r - y. Let f(l) = 2*l**2 - 4*l + 3. Determine f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 23 = -5*j + a, -4*a = 3*j - 11. Solve j*s + 45 = 5*x, x - 11 = -2*x - s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -i + u - 57, 4*u - 17 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21940 = -149*u - 31476 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)\/k)**(-3\/10)*(k**(2\/5))**(-35) assuming k is positive.\nAnswer: k**(-277\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3070124 is divided by 1953.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - o = 3*w + 8, 5*w + 5*o = -30. Let y(j) = j**3 - 6*j**2 - 1. Let s be y(6). Let v be s\/(4\/72*w). Solve -3*g = -6*g - v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 2, c: 8, s: 4}. Give prob of picking 2 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 7, a: 5}. Give prob of sequence vga.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q*q**(1\/4)*q)*q*q)))**44)**(1\/8)*q\/((q\/(q*q**(-3))*q)\/q)*q\/q**5*q*((q\/q**(1\/4))\/q)**(-1\/3) assuming q is positive.\nAnswer: q**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -26e021a?\nAnswer: -26e021f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 6*q + 7*q)*(-2*q + 2*q - 3*q)*(-5 + 5 + q**3).\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:37 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -15*b**2 - 40*b + 6. Let g(m) = 273*m - 354*m + 1 + 13 - 29*m**2. Let s(t) = -3*g(t) + 7*o(t). What is the second derivative of s(h) wrt h?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 4:43 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2. Let w(t) = t**2 - 10*t + 11. Let u be w(9). Let j = -2 + u. Let a(q) = j*q + q + q. What is s(a(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 2*z + 4*z**3 + (3*z - z + 0*z)*(z**2 + 0 + 0) - 9*z**3 + 2*z**3 - 3*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -3\/5 (c) 2 (d) 13\/5 (e) -3 (f) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9598370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*x + 4*x + 0*x)*(0 + 2 - 3) + (2 - 2 - 1)*(39 + 28 - 10)*(3 - 3 + 2*x))*(4*x + x**3 - 4*x).\nAnswer: -113*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 14*n - 21. Let w be z(9). Let p(h) = 2*h - 47. Let g be p(w). What is the tens digit of (g + 5)*(84\/9 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 5. Let u be o(6). Suppose 8 = c - u. Suppose 2*h = -r + 14, 31 = 3*h + r - 2*r. What is the greatest common factor of h and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3122 + 16?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3211348776?\nAnswer: 2, 3, 31, 4316329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1423 + 50520?\nAnswer: 45053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 23396 - 18*s - 99*s - 23394.\nAnswer: -124*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123\/556 - -4\/139. Which is the second smallest value? (a) j (b) 5 (c) -3\/5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40045, 80003, 119969, 159943, 199925?\nAnswer: 239915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (145\/3 + 2)\/(2\/(-6)). Let u = 258 + w. Suppose -u = -5*k - 4*g, 2*g - 40 - 23 = -3*k. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -5330360724\nAnswer: 5330360729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2595*70\/175*56\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 2 + 0*m + 1\/2*m**2 - 1\/3*m**3. Determine v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1338.29064115 + -6081838.31394115. Let n = i + 6080992. Let m = n - 492. What is m rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u + 509. What is g(-71)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70080961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-14)*(3\/(-3))\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3436083.64 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2, -39, -7\/3, -2\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 10. Let r be h(8). What is the third derivative of -3*p**6 + 5*p**6 + 2*p**r - 7*p**6 wrt p?\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1232679 (base 12) to base 16\nAnswer: 362c3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 5, -996 in ascending order.\nAnswer: -996, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**4\/7 + 892*c**3\/7 - 7332*c**2\/7 + 1980*c = 0.\nAnswer: -231, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*c - 2*m - 44, 5*m + 15 = 0. What is the units digit of (-1)\/2*c\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 1. Let m be v(3). Let y = -0.8 + 0. Let p = y + 0.4. What is the second smallest value in p, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*g + 92 = 0, 2*g - 338 = 3*f - 7*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -265.6 + 264. Let l = y + -4.4. Which is smaller: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a + -6f1?\nAnswer: -6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/3, -1, -3\/4, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1748 + -20959\/12. Let u = 7\/4 - j. What is t in -2\/3 + t - u*t**3 + 0*t**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {d: 5, n: 1, b: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:13 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*x - 835*x + 5*r = 86, -10 = 4*x - r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21468181 is divided by 117?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887 = 3*d + 848. Calculate the highest common factor of 5837 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 2*b - 11. Let g be f(-6). Suppose -g = -3*i + 29. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a9c - -4?\nAnswer: aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835) - sqrt(2835)*4 - sqrt(2835))\/(sqrt(40)\/(sqrt(8)*-3)).\nAnswer: 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39500.37mg to kilograms.\nAnswer: 0.03950037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23673, 94719, 213137, 378933, 592113, 852683, 1160649?\n\"Answer: t**3 + 23680*t**2 - t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 54 = -f, -7 + 11 = -4*f. What is the remainder when 171 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12)\/((-27)\/(-567)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 18.02. Which is the second smallest value? (a) j (b) -4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127.1 + -127.3. What is the biggest value in -132, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 657 * 18037\nAnswer: 11850309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -465.953, 134, -1?\nAnswer: -465.953","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16799 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r + 209. Let w be j(0). Let l = -114 + w. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.769 - 4.633. Let x = -80.406 + t. Let a = x + 89.1. Round a to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 4*x - 3*x + (-1 + 1 - 2)*(-2*x - x + 4*x))*(-4 + x**4 + 4).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7038 and 306216.\nAnswer: 119730456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 415 = -459. Let j(r) = -11*r - p*r - 4*r + 33*r - 8*r. Let d(q) = -10*q + 5*q - 9*q. Give j(d(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006623028 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Let s(w) = -w**2 + 4*w + 2. Let m be s(g). Suppose -k - 33 = -o - 2*k, -5*o + 177 = m*k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -1\/2, -17, -0.03, 26?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 4933.\nAnswer: -4933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4100 + -1?\nAnswer: 4088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.35 + 0.25. What is the third biggest value in u, -2\/47, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 47550 + 165664. Calculate the least common multiple of h and 8.\nAnswer: 50168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a centimeter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.1738425 - -13.82615675. Let n = d + -32. Round n to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-8) - ((3 - 3) + -2). Suppose -2*w = a + 27799996, y*w = 3*w - 6. Round a to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 22782431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 58*z + 1. Calculate j(2).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 27 - (51 - 95)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14389, 443\/21, -4?\nAnswer: -14389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - -8.12. Let y = -6 + t. Suppose x - 518 = -522. Which is the second biggest value? (a) -0.2 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 2. Let u(f) = -2883*f + 0 + 1 + 2882*f. Suppose 3 = 2*x + 15. Give x*u(l) + 2*t(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1631199607.3 - 2338237041.28. Let q = -707036980.98000217 - m. Let z = -453 + q. What is z rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 58 = 3*i + 97, 4*s - 27 = -i. Solve -g - 4*w - 1 = 0, -g + w - s = -2*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572 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 s(y) = -6*y - 3. Let q be s(3). Let k be ((-9)\/6)\/(q\/70). Suppose -3*i = 2*l - 1 - 1, -5*i + k*l = -20. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 46*t**2 + 44*t - 45. What is w(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {p: 5, t: 9}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -1, -1\/45, 129, -0.055, -1\/4?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.739 - -2.839. Suppose -25 = 5*c - 2*q, -3*c - 2*c = -q + 25. What is the closest to 1.1 in i, -0.5, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6464 = -55*g + 6959. Which is the closest to -4? (a) g (b) -2\/5 (c) 1\/40 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 5. What is the nearest to -1\/10 in w, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5850 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/((-4)\/(-12)). Let c be 39 + (3 - (3 + i)). Suppose -4*d = 4*l - 0*d - c, -9 = -3*d. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753*w**3 + 0 + 1 - 964*w**3.\nAnswer: -1717*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -55*j**2 + 12*j + 2. Calculate h(2).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-4))*x)\/x*x**(-5\/3))\/(x**(9\/5)\/x**(-1\/9)) assuming x is positive.\nAnswer: x**(64\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 3*i + 1 + 5*i. Let n(k) = -2*k + 1. Let w(c) = -c**3 + 4*c**2 + c - 1. Let y be w(4). Let m(d) = y*b(d) - n(d). Differentiate m(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 32 = 4*g, -2*g - 5*d - 2 = -0*g. Calculate the common denominator of 106\/(-2)*(g\/3)\/(-180) and 93\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -120210210?\nAnswer: -120210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a. Let y be -2 + 8\/(-2 - -4). Let d(k) be the third derivative of 0*k**4 + 0*k + 2*k**y + 0*k**3 + 1\/30*k**5 + 0. Give j(d(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2516 and 1332?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 3*w - 3. Let t be x(-2). Let s = t - 0. Let i = 1 + -2. Is s less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d = -164*d + 1419 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -571 (base 8) in base 6?\nAnswer: -1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - 16*d - 3. Let y(x) = -11*x**2 + 47*x + 8. Give 8*o(n) + 3*y(n).\nAnswer: -n**2 + 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -123. Let f be (-9 - -3)*2\/t. What is the common denominator of 1\/(-3)*((-67)\/4 + f) and -47\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -900, -2017, -3294, -4737, -6352, -8145, -10122?\n\"Answer: -k**3 - 74*k**2 - 888*k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -270, -399, -512, -603, -666?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*z - 12, 16 = z - 5*h + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 + 2 + 4*b**3 - 2*b**3 as s*b**3 + d + r*b**2 + k*b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 12*q + 8 = 0, -5*h + 35 - 25 = q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 7. Let g be q(3). Suppose 5*f + 5 + g = 0. Let p be 14\/(-12)*f\/14. Is p != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/263034 and 43\/810.\nAnswer: 3945510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1208 - 1202. Let w(f) = f**2 - 7*f + 3. Let y be w(7). Is 9 a factor of (y\/(q + 3))\/((-1)\/(-63))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/15 + (-178324)\/(-4905) + (-22)\/99.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.3, -19\/5, -7, 4, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78*131\/40872)\/(1\/(-332))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.2. Let o = -14 + 14. Sort 0.3, b, o in decreasing order.\nAnswer: 0.3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36927625 divided by -7385525?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/60 + a**4\/4 - 7*a**3\/6 + 62*a**2. Calculate b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9 - 2*d**2 + 0*d**2 - 21 - 8*d**2. Let a(k) = 4*k**2 + 5. What is 12*a(m) + 5*f(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6992 rounded to 2 dps?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(78) + sqrt(78)*-1 + sqrt(78))*1)\/(-5*sqrt(66)\/sqrt(176)))**2.\nAnswer: 3328\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00342126521 to five decimal places.\nAnswer: -0.00342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -936, 2\/87, 2\/7, -0.04, -0.02, -4, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12007002 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-208)\/24)\/13*(-30)\/(-4) - -776244 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 367*t - 343*t - 23*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-120) + 2\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -21.3. Let i be (4\/8)\/(1\/(-4)). Which is the nearest to 0? (a) i (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2656 - -0.8.\nAnswer: -2655.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*w + 23 = 0, -5*l - 2*w + 39 = 42 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25912381?\nAnswer: 11, 2355671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2322*i + 331965. Calculate j(-143).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100570 (base 8) in base 9?\nAnswer: 50416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 - 10 = h, 5*k + h - 15 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54462725669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 23*n - 225 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 + 2*b - 1. Let y be f(3). Suppose -8*t + 3*t = -y. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 39, -25627, -2\/9 in increasing order.\nAnswer: -25627, -2\/9, -0.2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1086*t + 675454. What is j(622)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 2*m - 16 = 9*t, t - 4 = -3*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 = 13*m - 5*s, 97420*m - 97421*m - 3*s - 21 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 11 = 3*b - 2*n, 4*b = -5*n - 8. Suppose 0 = -m - b*m. Suppose m = 4*k - 5*r - 221, 5*k - r - 298 = -2*r. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.781055 take away 6.35?\nAnswer: -5.568945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/8 - (-15)\/6. Suppose -3388 = -i + g, -p*i + 3*g + 10167 = -g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/6)\/((-6)\/40). What is the remainder when 2\/(-8) - (-37)\/4 is divided by 10\/4*(-120)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(272) - sqrt(272)*-1) + sqrt(272))\/(sqrt(200)*2))\/((sqrt(242) + (sqrt(242) - sqrt(242)*2*-3) - sqrt(242)) + sqrt(242)*2*3).\nAnswer: 7*sqrt(17)\/1430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c*c**6*c)*c*c**(1\/3)*c*c\/c**6*c*c**(-3)*c*((c**3)**(-43))**30 assuming c is positive.\nAnswer: c**(-11639\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 74. Let x = 17 - 8. Calculate the remainder when g is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63139966, 126279929, 189419892?\nAnswer: 252559855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - 5 - (-3 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 18*y**2. Let v(u) = -u - 2. Let q be v(-3). Is j(q) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -352a1c2?\nAnswer: 352a1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 24*x + 277. Let i be p(-8). Solve 20 = t + 4*u, 5*u - 4 - i = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 8:07 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3956 or 3957?\nAnswer: 3956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 402253 and -56.\nAnswer: -22526168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1882 or -1887?\nAnswer: -1882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6929\/34238 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(605)*-1)**2 + -1 - sqrt(605)).\nAnswer: -11*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 7*j**2 + 28*j - 12. Let v be t(-10). Suppose -10 = -v*g + 3*g. Solve -5*o + 21 = -y, -g*y + 12 + 21 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-148)\/36 - (-6894)\/81. Suppose c - 5 = 16*l. Sort 0, 1, 9, l.\nAnswer: 0, 1, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1834 + 2206. What is the fourth smallest value in 0, c, 4\/3, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -2*s**2 - 1\/20*s**5 + 28 + s**4 - 6*s**3 + 0*s. Find x, given that p(x) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.918 + -0.082. Let o = 0.9 + -1.8. Which is the closest to 0.1? (a) m (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcssfcmsccscscp. Give prob of sequence ccc.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) + (-11)\/3. Let g be -1*((0 - -1) + u). Let h be g\/7 - (-19)\/7. Solve -2*s = h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221 + -176. 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: List the prime factors of 15462491.\nAnswer: 11, 1405681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 515, 1839, 4443, 8759, 15219, 24255?\n\"Answer: 72*c**3 - 8*c**2 - 4*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 220*y**2 - 32*y + 3522. Let d be x(110). Suppose 24 = 4*h - 48. Solve d*s - h = 4*k, 0 = -2*s + 5*k + 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-4 + 6))\/((-240)\/24)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-112166)\/(-4)*(-3 + 5). Suppose -t = 14*c - 31*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26789431?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 11 = -0*d + 3*u, 4*u + 38 = -3*d + 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006185306134 rounded to seven decimal places?\nAnswer: -0.0006185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443793 is divided by 2898?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 6. Let c be h(0). Suppose 0 = -2*a + a + 5*f - 13, -4*f + c = -3*a. Solve a*u + u - 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 167 + -1 - (-2 - -3). Suppose v = 9*h - 4*h. Let z(k) = -24*k**2 - 12*k**2 + h*k**2. Let w(j) = 25*j. Give z(w(p)).\nAnswer: -1875*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6605693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 4000?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, 4, 24.\nAnswer: 2.8, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*q + 25*q**3 + 13 - 7*q**3 - 13 wrt q.\nAnswer: 108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:09 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -151458179 and 0.3.\nAnswer: -45437453.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 9 (b) -0.266 (c) -0.3 (d) -1\/2 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 55\/2 - (-9)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 12*a**5 - 3*a**4 - 324*a**3 - 519*a**2 - 138*a + 72 = 0?\nAnswer: -4, -1, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 694, 1387, 2082, 2779, 3478?\n\"Answer: j**2 + 690*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 219, 327, 435, 543, 651?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -892\/39 - -983\/39. Determine u so that 0 - 52\/3*u**2 - w*u**4 + 10*u**3 + 32\/3*u + 1\/6*u**5 = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 3*r**3 - 3*r**3)*(19 - 6 - 8) + (36*r - 3*r - r)*(-2*r**2 + 0*r**2 + 0*r**2).\nAnswer: -74*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24246302?\nAnswer: 2, 12123151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7290*l**2 - 17*l + 30. Let m be f(-10). Round m to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4 + 708*d**3 - 69093*d**2 + 1472828*d + 5059356 = 0.\nAnswer: -797, -3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-4) + (61479\/36 - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403209397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38025.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1504 + 1504. Let l = 0.2 - -0.8. Let p = -52 - -55. Which is the closest to l? (a) 4\/7 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 64, 3, -105, -8, 4 in decreasing order.\nAnswer: 141, 64, 4, 3, -8, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blbbbblbbl. Give prob of picking 3 b and 1 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwkiwziki. Give prob of sequence ziw.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:21 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 + 3*k**2 - 5*k - 4. Let u(r) = -7*r + 11 + 8*r + 5*r + 8*r + 8*r**3 - 8*r**2. What is 11*j(m) + 4*u(m)?\nAnswer: -m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + -15*(-4)\/6. Determine q, given that -7*q**2 + 2*q**2 - d*q**4 + 15*q + 352*q**3 + 10 - 367*q**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.592206nm in meters?\nAnswer: 0.000000008592206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310177*u + 930626*u - 310146*u - 310199*u.\nAnswer: 104*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 1\/10, -0.2, 129?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 17. Let w(o) = -6*o**2 - 7*o + 4. Let g(m) = 5*m**2 + 6*m - 3. Let v(c) = 5*g(c) + 4*w(c). Let d be v(-1). Solve -x*t + t + 5 = d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19176230 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35678 + -19764. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -29*h + 5. Let j be r(-5). Suppose j = -o - 59. Let d = -125 - o. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 - 26*d. Give j(-7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.88 + -0.98. Sort 2, k, 4\/5, -2\/15.\nAnswer: -2\/15, k, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 5. Let l(h) = h + 4. Let y(a) = -4*b(a) + 5*l(a). Let r(d) = -1 + d**2 - 4*d + 4*d**2 - 4*d**2 - 2*d**2. What is r(g) + 5*y(g)?\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 534178\/67, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p + 7. Let s be t(3). Which is smaller: s or 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471.4804nm in meters?\nAnswer: 0.0000004714804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1879, 2161, 2589, 3163, 3883?\n\"Answer: 73*r**2 + 63*r + 1743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4\/12 - 6*z + 2. Let k(s) = 6*s + 16. Calculate k(g(i)).\nAnswer: -6*i**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1 + 55*w**2 + 55*w**2 + w**3 - 108*w**2 + 2*w. Let h(f) = -f**2 - 4*f - 4. Let j be h(-3). Let l be z(j). Solve l = 2*c - 0*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dokkodhkhowwwhww. Give prob of picking 1 h, 1 k, and 1 o.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxs when three letters picked without replacement from xuusj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7617455?\nAnswer: 5, 1523491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 30. Find the common denominator of (-3)\/((-15)\/y) + 0 and 55\/(-4)*(-18)\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + ((-2)\/(-1))\/2)\/(8\/(-8)). Is a at most as big as -0.126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -224314?\nAnswer: -224314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14684783 to the nearest integer?\nAnswer: 3832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 6*l**2 + 75*l - 25. Let p be q(12). Calculate the greatest common factor of 891 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32846 to three decimal places.\nAnswer: -0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 26. Suppose -2*g = -2*y - 45 + 139, -g + 229 = 5*y. Suppose 3*n = -y + 169. What is the remainder when n is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 + -22.4. Let p = q + 24.1. Let m be 2 - 19\/(-10)*-1. Which is the smallest value? (a) p (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -334184, -668386, -1002634, -1336952, -1671364, -2005894, -2340566?\n\"Answer: -4*c**3 + c**2 - 334177*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x - 4. Let s = 69 - 58. Suppose 2 - x = -y, -y = 4*b - s. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6143343 to the nearest integer?\nAnswer: 2479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 403588 divided by 4?\nAnswer: 100897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4974\/(-22383))\/(-1 + -1 + -2).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + f + 12 = -10, 4*r = 3*f - 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1052 - 3425. What is p rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 18. Let l = p - 5. Solve -8*g**2 + 4*g**3 + 0*g**2 - g + 8 - l*g + 0*g**2 = 0 for g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(1 - 3 + 3)*((4 + 1 - 2)*(p - 4*p + 2*p) + p - 2*p + 0*p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5091.\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*z + 328*z - 8800 = -369*z for z.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2401 - -11014?\nAnswer: 4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2524*x - 3 = -2523*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unvnnnunnnvnvvnuunn. Give prob of picking 2 n and 2 v.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(9)*3) + sqrt(19) + sqrt(171)*4 + 2)**2.\nAnswer: 160*sqrt(19)\/3 + 30436\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 46*p**2 - 3*p + 56. Let g(w) = w**3 - 3*w**2 - 2*w + 15. Let u be g(0). Is d(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 566, 3, -2, -28, 5 in ascending order.\nAnswer: -28, -2, 3, 5, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 + 41*f**2 - 210*f + 9. What is r(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93 - -97. Solve -3*f - 11 = m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2978721356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.87 (c) -1\/3 (d) 7 (e) -2\/9 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + 84.4. Let s = 82 - k. What is the nearest to 2\/11 in s, -0.5, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(7*b + 0*b - b)*(b - 4 + 4)*(b - b + b**2).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/5*w + 0 - 2\/5*w**3 + 8\/5*w**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21810 or -21812?\nAnswer: -21810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552 < 1576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6074?\nAnswer: 2, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, a: 3, j: 3, m: 1, o: 3, g: 2}. Give prob of picking 2 a and 1 o.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 20*z**2 - 4. Let a be c(2). Suppose -m - w = 16, -3*m - w - a = -5*w. What is the tens digit of 1040\/14 - m\/(-70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0149 and 535.80061.\nAnswer: 535.78571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -21, 4, 4\/7, -1, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6640 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 57, 118, 203?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**9*y*y\/(y\/y**(8\/7))*y*y assuming y is positive.\nAnswer: y**(92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 20 = 17*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/3 + 255296*a\/3 + 4073502976\/3.\nAnswer: 4*(a + 31912)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -152938*s**2. Let z(o) = 22*o**2. Determine z(y(t)).\nAnswer: 514580700568*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjqj when four letters picked without replacement from jqqqjqqj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 4*g + 2*g + (-141 - 349 + 27)*(g + 3*g - 2*g) + 38*g - 458 + 458 to the form y*g + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from {s: 2, k: 3, c: 4, m: 2, j: 3, u: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaixiajaxxaj. What is prob of sequence aa?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + v = 30, 22 = 2*n + 4*v + 10. Suppose 96 = n*r - 30*r. Sort r, 2, 33\/4 in decreasing order.\nAnswer: 33\/4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**2\/2 - 283. Let v(a) = 442*a. Give z(v(u)).\nAnswer: 442*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -8.06. Let g = -0.01 - x. Round g to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2474186?\nAnswer: -1\/1237093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -29, -38, -41, -38, -29?\n\"Answer: 3*p**2 - 24*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504996594 to the power of 1\/3, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k. Let u be c(14). Let w be -1*1\/5 - (-364)\/u. Solve w*t = 5*r + 1 - 6, -5*r + 4*t = -9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-6)\/(-72))\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -4\/5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 - 2. Let f = 10 + r. Let z = -4 + f. Which is the second smallest value? (a) 3\/8 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + z - 7 + z. What is the tens digit of u(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 + 139. Let c = -3 + 27. Calculate the remainder when v is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 4*h**2 + 2*h - 1. Let m be f(-2). Let u be (-3)\/(6\/3 - m). Solve -3*d + 2*y = 4, 2*d + y = u*y - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6090304 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/2655*138\/(-92)*(-5)\/8*-2.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 9) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 35)\/(13 - 14). Let i be (-58)\/((-1)\/(-1 - -2)). Let v = o + i. Solve 3*f + 7 - v = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -12 - (2 + 5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(60)\/(sqrt(5) - (sqrt(5) - sqrt(20)*-2)))\/(sqrt(162)\/sqrt(3) + -1*sqrt(6)*1))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373813897 to the power of 1\/2, to the nearest integer?\nAnswer: 37065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 3*s - 3*s**2 - 16.\nAnswer: -3*s**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 3) + 32 + -20. Let t = 0 + 3. Solve -m + k = t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -179.893 (b) 23 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 2*m**7\/105 + m**3\/3 - m**2 - 2*m. Let c(i) be the first derivative of l(i). Find the first derivative of c(g) wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*u = -506*u - 1211*u + 44720 + 36032 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 123.8. Let s = 1 + -3. Let x = n - s. Sort 0.5, 5, x in descending order.\nAnswer: 5, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -89. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10374, 19232, 28090, 36948, 45806?\nAnswer: 54664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:07 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 4*m + 2*m = 0, -6*m + 10*m - 5 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 25*j - 32*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1799*n = -1846*n + 235. Sort -2838, -5, -2, n in ascending order.\nAnswer: -2838, -5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n + 3*q = 45*n + 16409, 0 = 5*q + 10. What are the prime factors of n?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 38*n**2 + 4*n + 38. Let b be p(-18). Suppose -l + 8*l - b = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 7*q**2 + 8*q + 2. Let v be y(-6). Which is the second biggest value? (a) -0.3 (b) 5 (c) v (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*m = -0*m, -m = 0. What is the derivative of -4 + 0*v**4 + r + 19*v**4 - 2*v**4 wrt v?\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 1. Let y(r) = 2*r**4 - 7*r**2 + 6. Suppose 15 = -2*o + 3. Let w(d) = o*q(d) - y(d). What is the third derivative of w(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 577*x - 27. Is n(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3453*t**3 + 3699 - 3699 + (t + 0*t + 0*t)*(-t - 2*t**2 + t) in the form q + h*t + f*t**2 + i*t**3 and give i.\nAnswer: -3455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b + 7. Let w be n(2). Put -15, w, 0, -1\/9 in descending order.\nAnswer: 0, -1\/9, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 63*y**2 - 33 + 181*y - 181*y.\nAnswer: -70*y**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (0 - (9 + (9 - (-4 - -7))) - -19)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - (1 - (-7 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.3 - -3.7. Let w = -44014\/7 - -6288. What is the nearest to x in w, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - t**3 + t**3)*(2*t**2 - t + t) + (5*t**4 + 2*t**4 + 0*t**4)*(4 - 7*t - 4).\nAnswer: -53*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 1830 - 7619 = 0. Let d = -827 - a. Suppose 7*s - 6 = 4*s. Solve -p = -d - s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9544491 and 1735362?\nAnswer: 19088982","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqoqyqoqbbooqoio. What is prob of sequence ybi?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-22 + 26 - (7 + 1)) + -17.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221001122 - 1?\nAnswer: -221001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**6 + 103*j**5 - 1816*j**4 + 16*j**2 - 2*j - 146232 wrt j.\nAnswer: 240*j**3 + 6180*j**2 - 43584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.003 + -2.003. Let q = -3.3 - -0.3. Let t = q - -2.5. Sort t, 2\/7, z in decreasing order.\nAnswer: 2\/7, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) -4 (b) 1\/17 (c) 12\/355 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (315\/140*-1)\/((21\/(-20))\/(-7))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19\/254 - -24161\/3810. What is the common denominator of 67\/6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/34*(6 - 2\/((-90)\/(-273))). Put -3, a, 0.3, -2\/27 in ascending order.\nAnswer: -3, -2\/27, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058780599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-24)\/(-14))\/2)\/(486\/756). Which is the second smallest value? (a) 23 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - (-1 + 1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106 or -213?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992*t**2 - 975*t**2 + 1987*t**2.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1448*u**2 + 284*u - 1652. List the prime factors of z(6).\nAnswer: 2, 5, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 25, -3*i = u + 40 + 31. Suppose 0 = -15*a + 20*a + 70. Let o = a - i. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 8:25 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 440809*l**3 + 219983*l**3 + 2*l**2 - 2*l**2 + 219944*l**3.\nAnswer: -882*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 + 1 - -7 - (-3 + -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3001*b - 2 + 4 - 3010*b - 2.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 454803021 to the nearest integer?\nAnswer: 21326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, y: 6, d: 3, c: 4, e: 4}. What is prob of picking 1 y and 1 c?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*k**2 - 183399 + 183399 - k.\nAnswer: -80*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5597421669 to the power of 1\/3, to the nearest integer?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 2*f + 1. Let c be o(-2). Let w be (3 - (3 + -2))\/(-13). Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -58*h - 1. Let y be o(-1). Suppose -3*l = -9 - y. Calculate the smallest common multiple of 14 and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 502398 and -6353.028?\nAnswer: 508751.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3270133.9 or 1\/61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89740078 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3*(-4)\/6). Let i = 3 + -3. Let a(n) = -n**2 + 3 + i - 2 + 6*n**3. Calculate a(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -305726, -611282, -916490, -1221176, -1525166?\n\"Answer: 29*w**3 - 305759*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**6\/40 - 3*w**5\/40 - w**4\/4 + w**3\/4 + 9*w**2\/8 - 8*w. Let u(c) = 0. What is c?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/572 and -103\/1138852?\nAnswer: 1138852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/144612 and -73\/1388646.\nAnswer: 108314388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.93 + 14. Let j be (-22 - -16) + 9 + (0 + 3 - 3). What is the fourth smallest value in j, -0.1, n, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -15 + -65 - -5.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**0)*n*n)**(-4\/29))**(-19)*(n**(-2\/13)*n\/n**8)**(4\/5) assuming n is positive.\nAnswer: n**(-908\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 268063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m - 18. What is the lowest common multiple of 81 and n(-6)?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1259259 and 14?\nAnswer: -17629626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-7 + 6 - 11)*(0 + 0 - 3) - 4 + 1 + 1)*(22*q + 23 - 23) in the form k + n*q and give n.\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2715*r**2 - 2735*r + 20 = 0 for r.\nAnswer: 4\/543, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000010000110 (base 2) to base 12.\nAnswer: -12372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = r - 12. Suppose -4*g = -2*z + r - 1, -z + g + 31 = 0. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 + 4*l + 3. Let c(w) = 3*w - 4. Let a(q) = -2*q + 3. Let t(u) = 7*a(u) + 5*c(u). Let p be (3\/(-16))\/(54\/36)*6*-4. Determine p*t(h) - n(h).\nAnswer: 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 - -0.1. Let d = t - -7.1. Put d, 3, 0.1 in ascending order.\nAnswer: 0.1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258473 divided by -52?\nAnswer: -258473\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -26005963 greater than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = a - 10, 3*j - 59 = 3*a - 23. Let q(g) = -g - 3*g**2 + 12*g - j*g. Let f(t) be the third derivative of -t**5\/10 + 38*t**2. Give q(f(p)).\nAnswer: -108*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -835 - -445. Let r = -224 - q. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**3\/3 - o**2 + o - 3. Let t be q(-2). Factor 0*v**4 + t*v**3 - 16*v**4 - v**2 - 11*v**4 + 27*v**5.\nAnswer: v**2*(3*v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1)*(0 + 6\/18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -32081?\nAnswer: -3\/32081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 435262166.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnh when three letters picked without replacement from {h: 1, f: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -19. What is the remainder when (54\/4)\/((-1)\/r) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -61542.\nAnswer: 1\/6838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 106*i**3 - 5*i + 5. Let v(j) = -6731*j**3 + 318*j - 318. Suppose -45*o - 10*o + 14*o = 13038. What is o*p(s) - 5*v(s)?\nAnswer: -53*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-5*320\/700.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(21)*-4)\/(sqrt(144)\/sqrt(3)) + (-5 + sqrt(28))*-4 + 2)**2.\nAnswer: -308*sqrt(7) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2863, 2846, 2829, 2812, 2795?\n\"Answer: -17*u + 2880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 10\/9*i - 2\/9*i**2.\nAnswer: -2*i*(i + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/((-66)\/20))\/((-6)\/9). Solve -5*z + 5 = r*d, 2*z = -z + d + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43, -708, -1955, -3698, -5937, -8672, -11903?\n\"Answer: -248*d**2 - 7*d + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 4*v**2 - v - 4. Let q(m) = -m**3 - m. Suppose 20 = -4*d, -l + 3 = -d - 4. Let p(i) = l*q(i) - f(i). Give p(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -37.4971?\nAnswer: -37.4971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -254586 or 1\/1170?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12445 - -113201?\nAnswer: 130050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 615205559 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-54352)\/(-790) + -89)\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 7*m**2 - 66*m - 364. Let q be j(-10). Let h(t) = -9*t - 33. What is h(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155702322 + -7.43378?\nAnswer: 155702314.56622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) + sqrt(450) + sqrt(450)*-1)*3 + sqrt(450) + (sqrt(450) + (sqrt(450)*-1 - sqrt(450)))*-6)\/(1*sqrt(27)\/sqrt(12)*3)*-1.\nAnswer: -100*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3061, -3039, -3011, -2983, -2961?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/((v\/(v\/v**2))\/v))\/v*v)**43*(v**(-6)*v)\/(v*v\/(v\/(v*v**(2\/3)*v))*v) assuming v is positive.\nAnswer: v**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Suppose -4380002 = -y*b + 2*v, 7*v - 2*v = -5. What is b rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11501*x**2\/5 - 524446*x - 456\/5.\nAnswer: -(x + 228)*(11501*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppddppppdppppdppdp. What is prob of sequence dd?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/7 + 167\/63. Let n = 8.7 + -9. Let r = n - -0.5. Which is the closest to -1? (a) r (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*2*3\/2. Let p = 11 + d. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1254441042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 363*c*r**3 + c*r - c - 50*r**3 + 7*r**2 - 312*r wrt r?\nAnswer: 2178*c - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 2, w: 1, o: 2}. What is prob of picking 1 q, 1 d, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-20)\/((r*r**(-1\/4))\/r*r))\/((r*r**(4\/3))\/r*r**(-1)) assuming r is positive.\nAnswer: r**(-253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13047 - 8149 = 451*x - 4058 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 3*i + 19*i - 24*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaggajejjamj. Give prob of sequence gj.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u*v**3*x - 2*u*v**3 + 1767*u*v**2 + 6*u*v + 2*u + 15973891*v**3*x - 235*v**3 - 1 wrt x.\nAnswer: 2*u*v**3 + 15973891*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 + 4*t**2 + 4*t - 1. Let x(i) = -i**3 - i**2 - i. Let k(n) = r(n) - 3*x(n). Determine k(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 15*c**5 - 430*c**4 + 1640*c**3 + 22270*c**2 + 7225*c = 0.\nAnswer: -5, -1\/3, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 5. Let z be (-1)\/(-4)*0\/(-21). Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*m + 17 + 18 + 2 - 48 + 8*m**2 + 14.\nAnswer: 8*m**2 - 78*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 2*l + l)*(5*l**3 - 4*l**3 + l**3) - 2*l**4 + 4 - 4 - 10*l**4 + 3*l**2 - 3*l**2 to x*l**3 + n*l + w*l**2 + m*l**4 + k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 9:15 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phpppphphhpppphpphp. Give prob of picking 1 h and 1 p.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + ((-1*sqrt(704) - (sqrt(44) + (sqrt(3564) + (sqrt(3564) - sqrt(3564)*2) - sqrt(3564))))\/(3*1*sqrt(484)))**2.\nAnswer: 214\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**6 - 130*v**3 - 213*v**2 wrt v?\nAnswer: -240*v**3 - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**2 - 23*s**2 + 2*s**2)*(-s**2 + 0*s**2 - s**2).\nAnswer: 58*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 - 5*z**2 - 1. Let q(j) = 24*j**2 + 29*j**2 - 59*j**2 + 5*j**3 - 2. Give 4*b(d) - 3*q(d).\nAnswer: d**3 - 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -59584850 rounded to the nearest ten thousand?\nAnswer: -59580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 406, 407, 410, 415, 422, 431, 442?\n\"Answer: x**2 - 2*x + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. What is the third derivative of -5*b**2 - 2*b**3 - b**3 + 2*b**i wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24453084 to the power of 1\/2, to the nearest integer?\nAnswer: 4945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20061565 (base 7) in base 11?\nAnswer: -a35865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 68?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5*t + 95510, -118*g - 2*t = -115*g - 95525. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6177 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 5:03 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 9*m**2 + 18*m - 13. Give v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let g(d) = -d**2 - d. Let o(x) = -1440*x**2 - 25*x. Let a(i) = 25*g(i) - o(i). Give a(w(n)).\nAnswer: 1415*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(38) - (2*sqrt(4598) + sqrt(4598)))\/sqrt(2) - (1*sqrt(209)*2)\/(1*sqrt(176)))**2.\nAnswer: -325*sqrt(19) + 80375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(30\/(-42) - -1). Let y = 237 + a. Calculate the highest common factor of 54 and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1035\/115)\/(6\/10 - (3 + 651\/(-280))).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 15416.\nAnswer: 15416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1566720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9194004\/13 or 707230?\nAnswer: 707230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 6, -20*z = -4*o - 15*z + 25338. Suppose -10*v = 2432 - o. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3)\/(b*b**2*b))\/((b**(-1\/2)\/b)\/b*b*b*b**7*b*b))**(4\/29) assuming b is positive.\nAnswer: b**(-142\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 5*s - 1. Let n be g(7). Let l = n - -37. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)\/t)\/t)**(3\/14) assuming t is positive.\nAnswer: 1\/sqrt(t)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u = -412 - 20 - 9 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 + 1.7. Which is the third smallest value? (a) w (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 - 2*p + 1. Let q(u) = -u**2 - 3*u + 2. Let z(m) = m**2 + 4*m - 3. Let n(h) = 4*q(h) + 3*z(h). Give 4*n(b) + s(b).\nAnswer: 2*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 5) to base 13\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02844 - 0.42844. What is the third smallest value in 12, -0.2, x, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 1\/84*t**4 + 0 + 1\/140*t**5 + 0*t**2 - 1\/210*t**6 - 20*t - 1\/42*t**3. Factor b(s).\nAnswer: -s*(s - 1)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -4. Let y = 73 + -69. Solve q = u + y, -2*u = -5*u + 2*q - j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -8. Let d be (-5)\/10*(o + 0). Suppose 3*n + b + 7 = -3*b, 3*b = -4*n. Put n, d, 4 in decreasing order.\nAnswer: 4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1065\/2 - 531. Which is bigger: r or -7\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ollvvluvyu. What is prob of picking 1 o and 2 l?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*s = -21, 2*d + 3*s + 1 + 2 = 0. Let z(r) = 11*r - 22. Let g be z(7). Factor -10*a**d + a - 25*a**3 - 5*a**4 - g*a**2 - 27*a + a.\nAnswer: -5*a*(a + 1)**2*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = -3. Let y be 1*(2 + w)*-1. Suppose -y + 0 = -t. Solve -t = 2*k + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1311632 and 11144.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 - -364 - (61 - 0)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, 0.3, 0 in ascending order.\nAnswer: -2, 0, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 15. Does 8 divide u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, 562, 1146, 1724, 2296, 2862?\n\"Answer: -3*y**2 + 599*y - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 15 = -5*i, 5*q + 9 = 2*i - i. Let l = i + 9. Suppose -l*f + 3434720 - 22334720 = 0. What is f rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**4\/12 + 4*q**2 + 4. Let s(i) be the second derivative of r(i). Give s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + 39 + (-22 - -58)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(sqrt(63) + -2 + -4 + -3 + 2*sqrt(63)).\nAnswer: -180*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80388 and 6496?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151338 is divided by 181.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -32450?\nAnswer: 32444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*j - 19 = 0, 2*q - 2*j - 1 = j. Let f(z) = z**3 + 6*z**2 + 6*z - 4. Let n be f(-5). Let x be ((-2)\/3)\/((-2)\/n). Sort 5, x, q.\nAnswer: q, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14819557 or -14819556?\nAnswer: -14819557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 21, 3\/2.\nAnswer: 0.3, 3\/2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 21, 16, -5, -48, -119?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 48.45. Let a = 0.45 - d. What is the third smallest value in a, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 4*y - 260. Calculate j(0).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.3 (c) -1\/6 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*r = 3*r - 10, x - 4*r + 5 = 0. Let m be 0 + ((-99)\/x)\/3. Let y = m + 30. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -3*f**4\/4 - 10*f + 22. Find the first derivative of r(s) wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 1, l: 4, w: 1, a: 3, z: 5}. What is prob of picking 3 a and 1 f?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 - (-9 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + -52 - (5 + -10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -415*d**4\/4 + d**3\/3 + d**2\/2 + 1. Let x be v(-1). Suppose -x = -2*r - 3*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-11 - 5) - (5 + (-6 - -6) - -48)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2727348*d**2*x**3 + 4*d**2*x**2 + 16*d**2*x + 17*d*x**2 - 3*d - 2*x**4 + 5*x wrt x.\nAnswer: 16364088*d**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 g when three letters picked without replacement from gdzhlid?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 k when three letters picked without replacement from jrlprkjpjkplrpjjjkjp.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {t: 5, o: 3, v: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1)\/((-20)\/40). What is the highest common factor of 19 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8873000 rounded to the nearest one hundred thousand?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1505, 2, -5, -1.\nAnswer: -5, -1, 2, 1505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-72)\/(-32))\/((-6)\/(-16)). Let s(h) = 92*h + 557. Let p be s(-6). Put -4, i, p, -5 in increasing order.\nAnswer: -5, -4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 8015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d1 + -1c1d1?\nAnswer: -1c7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 - ((16 - 32) + 22)) + (9 - -3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187 by 5006.\nAnswer: 187\/5006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u + 8. Give f(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 4. Let w(l) = -9*l + 9. Let b(g) = 3*w(g) - 7*y(g). What is the remainder when 8 is divided by b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5 - 16. Let p(a) = 39*a + 2. Let v(f) = 79*f + 3. Let y(j) = l*p(j) + 3*v(j). Is y(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*y**2 + 3*y**3 - 32*y - 44*y + 87*y to the form x + u*y**3 + c*y**2 + q*y and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -1792?\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 2, b: 1, q: 1}. What is prob of picking 2 j and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 32856?\nAnswer: 164280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 412114130 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 422 - 235. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.76 + -5.751. Round c to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 3975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003479 rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -407 - -412. Solve 4*f - 18 - 1 = -3*s, 3*s + u = 2*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 263886 and 2064944.\nAnswer: 377884752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 17499456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**7\/42 - 137*d**6\/24 - 2193*d**5\/4 - 619415*d**4\/24 - 1590140*d**3\/3 - 329*d**2. Determine r, given that j(r) = 0.\nAnswer: -43, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 115856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 11*l**2 + 12*l - 5. Let a = -4126\/55 + 356\/5. Find the common denominator of n(-10) and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 * -27.429\nAnswer: -60.3438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682377950 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -2\/3 (c) 0.5 (d) 1403\/2 (e) -1\/2 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 12:35 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 0.092.\nAnswer: 38.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 13*z - 18. Is 5 a factor of u(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 678689638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 = -37. Let l = -41 - -43. Suppose -2*q + 26 = -2*c, -5*c + 17 = 3*q + l. What is the remainder when d is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-9) + (-202)\/18. Let t = -41 - -57. Let a = t + m. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.5 - 87.5. Let s = -67 - n. Let o(u) = -2*u + 1. Let h be o(1). Which is the closest to h? (a) s (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10991539733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - i)*(4*i - 4*i + 3*i)*(-710 + 1497 - 733) to l*i**2 + g*i + u and give l.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11 - 27 + 12*x.\nAnswer: 12*x - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m - 2. Let l(y) = y + 6. Let g be l(m). Let k = 4 - 7. Which is the smallest value? (a) g (b) k (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 times 121?\nAnswer: 55418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8. Suppose 0*l - l + 5 = a. Suppose 4*g + 3*n + 3 = 0, l*g + 0*g - 5*n - 40 = 0. Solve -2*z - g*z - 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.75 + 0.25. Let s = z - 14.8. Let k = 2.6 - 2.6. Is s equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.7 less than -29050724?\nAnswer: -29050626.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 2 - 5)*(-d - d + 5 + 4*d).\nAnswer: -26*d - 65","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 {h: 2, c: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002015453956 to 6 decimal places.\nAnswer: -0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let f be z(-4). Suppose f*b - 179 = 9. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -49*h - 1167. Let v be b(-25). Calculate the highest common divisor of v and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42026.\nAnswer: 2, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -1) + (4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4400\/23 - -21954\/115. What is the fourth biggest value in -1\/6, 53, -1, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*((sqrt(1088) - (sqrt(1088) + -1))*-6 + 1*sqrt(1088)*-2)**2.\nAnswer: 768*sqrt(17) + 17547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-45) - 10\/325*-8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 253 - 3*j**2 - j**2 + 277 = 0. Calculate j.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -2 (b) -50 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23406 + -12901. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7. Suppose 4*i + 0*a + 2*a = 16, -i - 3*a + 14 = g. What is the units digit of 6\/8 + i\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*b**3*r**4 - 83*b**3 - b*r**4 - 7*r**2 wrt r?\nAnswer: -4680*b**3*r - 24*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(14\/11)*v*v*v**(-1) assuming v is positive.\nAnswer: v**(25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 849 by 849.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(60\/4*(-1)\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 at least 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*u**2 - 568*u**2 - 120*u**2 + 60 - 60.\nAnswer: -770*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -7\/3*s**3 + 0*s - 1\/2*s**4 - 1 + s**2 + 7\/5*s**5. Solve y(o) = 0 for o.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 9. Let x be p(-9). Let h = -12.8 + 0.8. Let o = h + 8. Are o and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1365.6 - -1366. Sort i, 0.6, -1\/7, 3.\nAnswer: -1\/7, i, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1254, -2504, -8772, -17556, -28862, -42696, -59064?\n\"Answer: -k**3 - 1249*k**2 - 4*k + 2508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**3 - 5*s**2 - 2*s - 5. Let k(n) = -7*n**3 + 5*n**2 + 3*n + 3. Let q(m) = 2*k(m) + 3*v(m). What is the third derivative of q(w) wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - -17038293?\nAnswer: 17038309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -584, 2705, 8188, 15865, 25736, 37801, 52060?\n\"Answer: 1097*v**2 - 2*v - 1679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a - 50. Calculate the highest common factor of 20 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, z: 1, a: 2, s: 8}. Give prob of sequence afa.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 413951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(114) - (sqrt(114)*-1 - sqrt(114))) + sqrt(114)))\/sqrt(6).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108468733 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 197994389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 > 2\/6329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 16496*h + 68029504.\nAnswer: (h - 8248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -107, -5, 14, 3, 2, -3 in descending order.\nAnswer: 14, 3, 2, -3, -5, -45, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaffaofaaf. Give prob of picking 2 a and 2 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -116?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 0, 4*w - t = w - 139. Let f = 169 + w. Suppose -3*y - 63 = -3*j, f = 4*j - 5*y + 42. What is the remainder when j is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189883432 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u**3 - 35*u**3 + 180*u**3 - 37*u**3 - 21*u**3 - 39*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7982 and 3874?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/87360 and 187\/608790.\nAnswer: 19481280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12280, -49418, -111414, -198268, -309980, -446550, -607978?\n\"Answer: -12429*h**2 + 149*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 4, -11, 14, 6 in increasing order.\nAnswer: -11, -6, 0, 4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -24*z**3 - 3*z**2 - 21. Let q(u) = u**3 + 1. Give 3*c(l) + 63*q(l).\nAnswer: -9*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 3. Let h = 9.8 - f. Which is bigger: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178 - 173. Let h(v) = 3*v**4 + 21*v**3 - 6*v**2 - 30*v + 6. Let f(w) = -3*w**4 - 20*w**3 + 4*w**2 + 29*w - 5. Let l(i) = t*h(i) + 6*f(i). Factor l(a).\nAnswer: -3*a*(a - 1)*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6238b (base 12) to base 6\nAnswer: -2430255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3176*r - 1556*r + 2213*r + 507465 = 2314*r for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -0.379421\nAnswer: 0.079421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762 + 0 + 1\/2*-10.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23309, 46637, 69967, 93299?\nAnswer: 116633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1748438 and 6904?\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/19, -2\/11, -0.3 in descending order.\nAnswer: -2\/11, -0.3, -11\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q**2 - q)*(2 + 2*q - 2) + q**3 + 1 - 1 + (0 + 0 + 1)*(q**3 + 33 - 2581*q + 2581*q).\nAnswer: -2*q**3 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 305678556 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04856, 5, 4\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9110533 divided by 641.\nAnswer: -14213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-223)\/(-1938) - (-137)\/(208240\/(-160)). Let y(t) = -t + 10. Let x be y(9). Is x equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 382, 1529, 3442, 6121, 9566, 13777?\n\"Answer: 383*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1838401 is divided by 367678.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2425928 and -447.\nAnswer: 2425481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(252)*1*4 + sqrt(252) + 6*sqrt(252)*2) + -2)**2 + 0.\nAnswer: 408*sqrt(7) + 72832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -26. Solve 0 = f - p + 6, p + 0 = -v*f - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.45\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o - 3 - o**2 - o - 4 + 2*o. Let c be i(8). Sort c, 3\/5, 5 in decreasing order.\nAnswer: 5, c, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 99. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 8*j**2 + 67 + 10*j**2 - 129 + 62.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:27 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3619851 is divided by 4801?\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-150)\/30 + 62\/2. Suppose -a = 29 - i. What is the tens digit of -2 - -6 - (-215 - a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(3\/2))\/w)\/(w*w**(-1\/4)*w))\/(w**(-1\/13)\/(w\/w**(-11))) assuming w is positive.\nAnswer: w**(615\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -25, -3\/7, 12, 0.29, 3, 1.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1214660 and 2?\nAnswer: 2429320","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 1026315505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3198 - -3204. Solve d - 2*k = 6*d - 6, -2*d = 5*k + l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7978 or -7977?\nAnswer: -7978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.42 and -2.77272.\nAnswer: 1.1645424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:32 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 1 - 34 - 5*n + 0*n. Let j be o(-10). What is the greatest common divisor of 20 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -2 + -3 - ((1 - 15) + 19).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 117, 0, -1 in ascending order.\nAnswer: -15, -1, 0, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and -143\/258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -661, -0.037, -2?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**2 - 19*z. Let q(o) = -4*o**2 - 13*o. Determine 5*b(g) - 7*q(g).\nAnswer: -2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/15*(-6)\/(-4). Let k = 17\/10 + w. Sort 5, k, -4.\nAnswer: -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2413 = -235*u + 298 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - 17.6. Let m = i + 16.14. Let y = m + -0.1457. What is y rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -169.98 to one decimal place.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**5\/30 - l**2. Let u(o) be the third derivative of 0 - 1\/30*o**5 + 0*o**3 + 0*o**4 + 0*o - 3*o**2. Give u(z(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 10:23 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-296)\/(-666) - -423851*(-3)\/(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 20 = c - 4, 8 = 5*c + 3*j. Suppose 5*s + v = 3483, 5*s - 2*v - 3486 = -c*v. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 7*h**2 + 7\/6*h**3 + 0*h + 0 + 1\/4*h**4. What is the derivative of r(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from mgfmfgggmmsgsgrgbggr.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87597511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 10) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -708451*n**3 - 14309*n + 47.\nAnswer: -4250706*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 1. Let q = -1.6 + 89.6. Let j = 92 - q. Which is the smallest value? (a) -3\/2 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 0 - 11\/3*b**4 + 0*b**6 + 0*b**2 + 23*b + 0*b**5 + 0*b**7 + 0*b**3 - 9\/14*b**8. Find the third derivative of a(n) wrt n.\nAnswer: -4320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*c = -3*j - 129, j + 2*c = -31. Do -28 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4287151.\nAnswer: 11, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f + 2 + f**2 - 2.\nAnswer: f**2 - 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 + 32*l**2 + 75*l - 61. Give p(-3).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 less than 5338301.023857?\nAnswer: 5338324.023857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - -1) + 1 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 3*u - 4. Let r be t(3). Let h(y) = -y**3 + 4*y**2 + 8*y - 7. Does 8 divide h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = -23*i - a - 30, 1 = 3*i - 4*a for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 less than 73156\/339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12120 + 17360. What is the greatest common divisor of 200 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 - 0.5. Let h = -1 - 1. Suppose 20 = 4*k + 2*f, 5*f - 2*f = 0. Which is the closest to d? (a) h (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 + 17*r + 2. Let l(o) = -4*o**2 + 24*o + 3. Let v(z) = -5*l(z) + 7*x(z). Let s(h) = h**2 + 5. Determine s(w) + 3*v(w).\nAnswer: -2*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 47 + 49. Suppose -3*m - 3*v = -18, c = -m + 3*m + 5*v. Solve m*a = 3*a + 1, 3*j - 14 = 5*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11*u - 66. Let v be f(-10). Solve -14*r = -58*r - v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zpuppyiipiz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (0 + 2)\/(-1). Suppose -7*j = j. Suppose j*i = -5*i + 5. Sort i, k, 3 in descending order.\nAnswer: 3, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/23760 and 89\/30888.\nAnswer: 308880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -742, 28, 4, -8, 3, -3 in increasing order.\nAnswer: -742, -8, -3, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -1.06. Let x = 123\/20 + -25\/4. What is the closest to -1\/3 in x, 2\/11, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23328*i = -23322*i - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.162 (b) -60 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/21 - (0 + 1). Sort v, -0.4, 0.2 in descending order.\nAnswer: 0.2, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 33. Let o = 9889 - 9889.2. Sort k, o, 0.\nAnswer: o, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 2. Let m = o - -5. Let p = 14 - 15. Which is the nearest to p? (a) m (b) 3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 7:29 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 71759688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3201\nAnswer: 1\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 288 + -291. What is the second biggest value in l, 0.1, -0.013?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94394 is divided by 31221.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 6*q**2 + 3*q - 11. Suppose -p + 5*o = 30, -2*p + 3*o - 8*o = 0. Is l(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y*y**(4\/3)\/y*y*y)*y*y))\/y)\/y*y*y**0)\/(y*y**(-1\/10)\/y*y**16) assuming y is positive.\nAnswer: y**(-467\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z**0\/z))\/z)\/z*z)\/z)**(-32)\/(z**(-3\/7))**(-35) assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37879388*v**3 - 14437086?\nAnswer: 113638164*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*i - 1 + 10*i - 18*i)*(8*i**2 - 3*i**2 + 0*i**2) to the form b*i + t + m*i**2 + a*i**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505546 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1448*u - 2829. Give a(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 56*1 + 4\/(-2). Let x(o) be the first derivative of o**3\/3 - o**2 + 3*o - 5. Let k be x(5). What is the highest common divisor of c and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s - 90*s**2 - 6*s**4 - 3*s**5 - 5*s + 96*s**2.\nAnswer: -3*s*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22313*b = 22317*b - 16. Sort 0, -1, 17, 8, b.\nAnswer: -1, 0, b, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*h**2 + 313*h + 364*h - 677*h.\nAnswer: 161*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*l**2 + 13*l**2 + 9*l**2 - 60*l**2 as d*l**2 + j*l + a and give d.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from qfqqqfqqffqf.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*s - 30. Solve -3*x = -5*z - 35, -6*z - s = 3*x - z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 2. Let t be v(-12). Let d = t - 85. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1963 - -4016. List the prime factors of a.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 15*r**2 + 27*r + 32. Let s be d(-17). Let c = s - 103. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49761853 to the power of 1\/2, to the nearest integer?\nAnswer: 7054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 7, 138, 423, 916, 1671, 2742?\nAnswer: 4183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-370)\/(-35) - (-6 + 108\/21)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18321339 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6399390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54762156.3 plus 222?\nAnswer: 54762378.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 13*u + 108. Let t be a(-11). Let h(j) = -j**3 - 34*j**2 + 26*j + 70. List the prime factors of h(t).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -3, -55\/3, 3, 2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + 4.06. Sort 2, -4, v in descending order.\nAnswer: v, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29185, -66679, -104173, -141667, -179161?\nAnswer: -216655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15047.03 - -15105. Is 0 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*3 - sqrt(7))*6 - sqrt(56)\/(6*-3*sqrt(8)).\nAnswer: -755*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(4\/21))**(-19))**(-4\/15))**22 assuming f is positive.\nAnswer: f**(6688\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (34 - 23 - -10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/14 and 101\/676.\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a6 - 2?\nAnswer: -3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*k**4\/5 + 63*k**3 + 1392*k**2\/5 - 1773*k + 1890 = 0. Calculate k.\nAnswer: -15, 7\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211 - -216. Suppose 1305 = -3*g + 6*g - s, -o*s + 2195 = 5*g. List the prime factors of g.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/3 + 1)*(-258 + 36). Let c = j + -296. Solve -f - 9 + 8 = c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 4. Suppose 4*h = j + 2 + 11, -20 = -4*j - 2*h. Suppose -3*y = -2*y + j*y. Let m be f(y). Solve 2*z - 8 = m*w, 0*z = 2*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-27) - 116\/(-36). Suppose b = l*b. Let j(u) = u**2 + 2*u - 5. Let m be j(-4). Solve -r + b*r = -m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 403 = 58. Let h be 3*-2*g\/(-30). What is the greatest common divisor of h and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*j - 8*j - 28, 0 = 2*f + 4*j + 10. Suppose f = -l + 7. Suppose 1 - 5 = -2*x - 4*a, -l*a + 6 = x. What is the closest to 0.2 in x, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 11. Let f = -19 + 23. Let z be w(f). What is the smallest common multiple of 1 - -25 - (z - 1) and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000248 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80775839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 126.1. Let a = 1.1 - m. Put -5, a, -3 in decreasing order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1994410 to the nearest ten thousand.\nAnswer: 1990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512889?\nAnswer: 3, 13, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301 - -31311213?\nAnswer: 31303312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.72 + -3.82. Let z = 20.13 - 20. What is the third biggest value in p, -3\/2, -2, z?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16646 divided by -380\nAnswer: 8323\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 2*t + 2. What is o(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**(-1))**25\/((l\/(l**(-2\/9)\/l))\/(l**(-2\/7)*l)*(l*l\/(l**(-7)\/l))\/(l\/(l*l\/(l\/l**5)))) assuming l is positive.\nAnswer: l**(-2090\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 693519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -215, -190, -171, -158?\n\"Answer: -3*t**2 + 34*t - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 16*v - 12.\nAnswer: -4*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6264 = 172*o - 181*o. Suppose 2*h + o = 8*h. Is h a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4128 divided by 1032.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 7:42 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 2*a**2 + a + 1. Let c be g(2). Let f be c\/(-12) + (-6)\/(-9). Is -1 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11917*i = -8109*i + 4660*i + 1321476 for i.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(1216) + -1 + (-2*sqrt(1216)*-3 - (1 + sqrt(1216) + -1 + sqrt(1216) - sqrt(1216))))**2.\nAnswer: 288*sqrt(19) + 43785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 542440551 (base 6) in base 11?\nAnswer: 549a458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*a - 3*a - 10, 20 = -4*a. Solve -u*f + 1 = b, -1 = f - 0*f + b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**3 + 15*t**2 + t - 3. Let d(u) = -u + 1. Let l(k) = 3*d(k) + r(k). Let s(b) = -5*b**3 - 8*b**2 + b. Determine 3*l(n) + 5*s(n).\nAnswer: 2*n**3 + 5*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0*b**4 - 5\/3*b**3 + 1\/15*b**5 + 0*b - 11*b**2 + 0. What is the derivative of c(w) wrt w?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 2*v**2 + v - 1. Suppose -2*q - t + 8 = 0, 3*q - 5*t + 6 - 5 = 0. What is the units digit of r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 11*p = -45, -302*s = -298*s - 3*p - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1111 - 553 = -13*p. Suppose 3*a - p = -2*f, 4*f = 2*a + 294 - 70. Is f a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljg when three letters picked without replacement from jjldjjljljdrnrjrgllj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -17*y + 41. Calculate k(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1551*k + 15531. Let a be x(10). Let r(v) = -10*v + 1. Let q be r(-1). Solve -q*s = -4*s + a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 + 90 + (-56 - 67) + (31 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 15*n**3 + 4*n**2 + 16*n - 4. Let q(i) = 13*i**3 + 4*i**2 + 14*i - 4. Let h(v) = 6*o(v) - 7*q(v). Determine h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/1719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320097 is divided by 1203?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3*j + 78, 2*x - 5*j + 88 = 5*x. Suppose 2*g + 8 = -0. What is the remainder when 1\/(-10)*g - (-1194)\/15 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 - 92. Which is the nearest to p? (a) -8\/7 (b) 2\/17 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77927811.\nAnswer: 3, 13, 1153, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/81 + 383\/810. Let y(b) be the second derivative of 4*b + 0*b**4 - 1\/2*b**3 - x*b**5 + 0 + 0*b**2. What is the second derivative of y(m) wrt m?\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198589 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 20*b = -146 + 226. Let 8*x - 46\/5*x**b + 24\/5 + 2*x**3 = 0. What is x?\nAnswer: -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 36. Suppose v*j - 14714 = -m - 3937, 0 = -4*j + 4*m + 14348. Suppose -j = -7*r + 14. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5099*j - 29927. Calculate p(-6).\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1758*f + 8902 + 29918 + 71934 = 0 for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*y = -13, 21*t - 24*t + 19 = -y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1920 and 16?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 191*(-16)\/256 + 12 + 2 + (-5541)\/2640?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-110 - -148)) + 34\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/270 + 103*l**5\/135 - 851*l**2 - 3*l. Determine y, given that k(y) = 0.\nAnswer: -103, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3 - (-91)\/(-21))*-6. Is 24 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 0 - (-149 + 148)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -162, -4, 3\/7, 3, 0.019, -0.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/5874447 and -55\/8953.\nAnswer: 41121129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 y when four letters picked without replacement from nyonmnonmnmynyononnn.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 1. Let j be g(-5). Suppose -a = a - j. Suppose 0 = -3*y + 3, a*q = q + 5*y + 3. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98204.73 days to hours.\nAnswer: 2356913.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 182 in descending order.\nAnswer: 182, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.3, -0.034 in increasing order.\nAnswer: -0.034, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655*d + 3675 = -169*d - 4101 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 11 - 9. Let h(x) be the second derivative of -506*x**4\/3 - 2*x**2 + x. Let k be h(d). What is k rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31779 and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c**2 + 3*c - 124?\nAnswer: -8*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b - 2353563?\nAnswer: -2353526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3636852592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5861 + -2922. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by 215.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 612*d**3*j**3 - d**3*j - 123*d**2*j**3 + 1632*d**2*j**2 - 2*d + 30 wrt j?\nAnswer: 3672*d**3 - 738*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {x: 2, y: 1, c: 3, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/(-12)*18\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504999 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 45. Let s be (j\/(-21)*-3)\/(13\/(-2)). Which is the nearest to 0.3? (a) 2 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 10732040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150903794?\nAnswer: 2, 3, 397, 483167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18195, 36871, 55547, 74223?\n\"Answer: 18676*z - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 minus 1807583?\nAnswer: -1807668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 2085047265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*(sqrt(396) + 4*-2*sqrt(396)) + (sqrt(396) - (sqrt(396) + (sqrt(396) + -5*1*sqrt(396) - sqrt(396)))) + -2))**2.\nAnswer: 888*sqrt(11) + 542128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 17, 0.65, -0.1, 4\/5, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 0 in descending order.\nAnswer: 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.133663 rounded to two dps?\nAnswer: 7.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {s: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = -q, 3*q + 0*q = 3*h + 48. Let i be (-1120000)\/(-3)*(4 + q\/4). Round i to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283143 - 426433. What is y rounded to the nearest one thousand?\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28200 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*z - 3*h**3 + 25*h**2*z - 4*h*z - 11*h + 2*z wrt h.\nAnswer: 6*h*z - 18*h + 50*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84306 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -56 (c) 65\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)*w**(-2\/11)\/w)**(-25) assuming w is positive.\nAnswer: w**(160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**10)\/w*w**(-2\/7)*w\/(w*w*w*(w*w**(-4\/11))\/w*w*w)*w*w**9*w)**38 assuming w is positive.\nAnswer: w**(49970\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v**2 - v + 254. Let t = 885 - 867. What is the least common multiple of t and j(0)?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:54 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2006*u - 84909 - 35239 + 33890 = 0 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 6*t**2 - t + 3. Let l(w) = -3 - 2*w**3 + 2 + 7*w**2 - w - 3 + 7. Let q be (2*(-42)\/12)\/(1*(2 - 1)). Give q*p(u) + 6*l(u).\nAnswer: 2*u**3 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12399, -12669, -12937, -13203, -13467, -13729?\n\"Answer: a**2 - 273*a - 12127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34861 is divided by 2503.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 84*a**2 - 7*a - 10. Let q(y) = -126*y**2 + 11*y + 16. Calculate -8*j(f) - 5*q(f).\nAnswer: -42*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 2*g**2 + 3*g + 3. Let v be t(-3). Suppose -411 = 4*p - 59. Let k = 81 + p. Sort v, k, 2 in increasing order.\nAnswer: k, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2\/3 (c) 2\/15 (d) -0.04 (e) -4 (f) -13.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6405)\/(-400))\/(-21) + 3\/4. Which is the closest to 0.1? (a) 1 (b) 0.1 (c) g (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5397.2 + -5393.9051. What is h rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 49*y + 831. Let d be 2\/(2 + -3 + 2). Suppose -4*g + 20 = -d*g. What is the remainder when g is divided by b(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.6 - 15.\nAnswer: -48.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -m. Suppose -20 - 32 = 4*h. Let c = -7 - h. Calculate the greatest common divisor of c and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219187061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 767*-0.5\nAnswer: -383.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4357267 is divided by 4506.\nAnswer: 4471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2534700 to the nearest 10000.\nAnswer: 2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.078 - -9.722. What is i rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**22\/l**14)**(-1\/15) assuming l is positive.\nAnswer: l**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, v: 5, r: 12, f: 1}. What is prob of sequence rwr?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -26*y**7\/21 + 13*y**5\/20 + 34*y**4 + y**3\/3 + 1896*y. Find the third derivative of r(o) wrt o.\nAnswer: -3120*o**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/169? (a) 12 (b) -0.3 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a**3 + a - 19*a + a + 4*a + 13. Let n(m) = 4*m**3 + 6*m - 6. Give 13*n(o) + 6*t(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -260*m**2 - 281*m**2 - 275*m**2 - 49*m**2 + 153*m**2 to w*m**2 + q + i*m and give w.\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47622 - -47621. Let z = -0.12 - 4.88. Let k = 8 + z. Put 0, -0.5, k, r in increasing order.\nAnswer: r, -0.5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17461 is divided by 201?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 700110.9 kilometers?\nAnswer: 700110900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 18 = 33. Let i be -1 - (-1 - -3)*(t - 2). Calculate the remainder when (-723)\/i - (7 + 3 + -6) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 5*b + 6, 4*j = 12*b - 17*b + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2838541 and 68?\nAnswer: 11354164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)\/(2*sqrt(11)) - sqrt(204)\/(-2*sqrt(12) - sqrt(12))) + -5*3*sqrt(1377))**2.\nAnswer: 11016425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -89. Which is the second smallest value? (a) -2\/5 (b) 2 (c) j (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1577 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13494 + -13497. Sort 9, 4, 88, j in decreasing order.\nAnswer: 88, 9, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61, 115, 169, 223, 277?\n\"Answer: 54*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1651 + 1652. Which is the nearest to n? (a) -3\/7 (b) -0.3 (c) 0.11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1719165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 9*b - 4 = 0, 6*j + 6611*b = 6615*b + 208 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5 minus 2.1286?\nAnswer: -10.6286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/378 - (22\/(-28))\/11.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*q**2 - 18*a*q - 1771*a + 5*q**3 - 2*q wrt q.\nAnswer: 6*a*q - 18*a + 15*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -272.3039, -1, -3\/2.\nAnswer: -272.3039, -3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -43*d + 2. What is the units digit of a(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 94\/(-6) + 4\/6. Let h(v) = 24 - 7*v - 19 + 40*v + 3*v**2. What is the units digit of h(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:23 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-2 - (-8)\/6). Suppose -2 = -c - h, -s*c - 2*h = c - 3. Is (c\/(-2))\/((-1)\/(-70)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = 8*x. Suppose x*m = 4*m - 144. Suppose 2*y = -2*y + m. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 533302?\nAnswer: 533324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**6 + 53*g**5 + 196*g**2.\nAnswer: -840*g**3 + 3180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -233, -469, -721, -989, -1273, -1573, -1889?\n\"Answer: -8*c**2 - 212*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 71 = 0. List the prime factors of b.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 13 = 5*z, -571*y + 566*y = 3*z - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + (2*sqrt(102) - sqrt(102)))*6 - (sqrt(102) + 3*sqrt(102))*6)\/(sqrt(60)\/(sqrt(250) + sqrt(10)) - sqrt(6) - -1*sqrt(96)).\nAnswer: -72*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56890597 and 1261?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a - 3 = 0. Let m be 3*((-4)\/3 - 2). Let b be (0\/(m\/2))\/a. Is 1\/47 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11505000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123433 - 1433?\nAnswer: 122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.14, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2 + 1 - 4 - 9 - 3 - 2 + 3 + (-4 - 4 + 7)*(-1 + 0 + 3))*(0*r - 6*r + 4*r).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -4. Suppose -3*c + l*c = 0. Suppose -3 + c = -v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -33 - 98*p - 97*p + 198*p. Let g be i(13). Is 5 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -90*p + 7. List the prime factors of z(-2).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -39 + 16 + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -18*s**3 + 774*s**2 - 7*s + 275. Determine j(43).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10601*i + 10597. What is r(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x - 8. Let q(i) = -i**3 - 39*i**2 + 125*i - 36. Let r be q(-42). What is a(r)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -9, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51.5 and 2.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 2 - 10 = 0. Let y = 21 + -26. Which is the third smallest value? (a) y (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 11*w + 2. Let t = 762 + -760. Suppose -3*g - 5*f = -t*g - 5, 2*g - 16 = -4*f. Give r(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 362 - 3972\/11. Is p smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1305.8 times -23?\nAnswer: 30033.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3496432, 6992863, 10489294, 13985725?\nAnswer: 17482156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (9 + -2 - 8)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/((-8)\/(-2))*11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q - 13. Let c = -6 - q. Let n be (c\/(-3))\/(3\/(-18)). Calculate the highest common factor of 42 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - z + 5*z)*(-14 + 3 - 3)*(4 - z - 4) as n + p*z + q*z**2 and give q.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -347, 12 in ascending order.\nAnswer: -347, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -51. Solve 5*l - l + 4 = -2*p, v*l = -p - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**3 + 6*p**2 + 5*p + 6. Let s(t) = -3*t**3 - 6*t**2 - 6*t - 6. Let l(z) = -2*b(z) - 3*s(z). Let x be l(-4). Solve u + 25 = x*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13088 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 452.48 + -15.98. Let r = o + -408. Round r to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p*w**2 - 5*p - 290*w**3 - 5*w**2 + 34526 wrt w?\nAnswer: 2*p*w - 870*w**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -151b - 3?\nAnswer: -151e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/120 - 2*i**5\/15 + i**4\/8 + 11*i**3\/2 + 31*i**2. What are the prime factors of d(-10)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 1967, 5653, 11151, 18467?\nAnswer: 27607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 3. Let a(u) = -4*u - 2. Let s(z) = -6*a(z) + 5*d(z). Determine s(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g - 4*g. Suppose -s - 4*s = 3*v - 13495, s + 3*v - 2699 = g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -841, -8215, -28419, -67927, -133213, -230751, -367015?\nAnswer: -548479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 32 + 10 = -2*x, -15 = 5*x for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2. Let r(y) = 9*y - 2. Let v = -396 - -165. Let d(h) = 343*h - 77. Let j(k) = v*r(k) + 6*d(k). Determine u(j(m)).\nAnswer: 882*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2544 - 2468 + 4898 - 341*g**4 wrt g?\nAnswer: -1364*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/21)\/((-2)\/(-18)). Suppose -l + 18 = -t + p*t, 3*l + 4*t = 21. Calculate the smallest common multiple of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200022000 + -2122?\nAnswer: -200101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + w + 7 - 2*w + 0*w to c*w + o and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 15*b + 4. Let t(p) = -p. Let x(k) = i(k) - 4*t(k). What is the hundreds digit of x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-720)\/(-1200)*(-5)\/42.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.3294 + 0.0294. Round z to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 12\/5, 4, 83, 18, 5, -0.06?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -17*b**3 + 148*b**2 - 310*b + 139. Let a(c) = 24*c**3 - 221*c**2 + 461*c - 208. Let l(x) = -5*a(x) - 7*n(x). Factor l(d).\nAnswer: -(d - 67)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 20*f - 3. Let s be h(3). Calculate the highest common divisor of 38 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/9, -4\/5, 722, -0.3, -5 in decreasing order.\nAnswer: 722, -2\/9, -0.3, -4\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13689979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -143*c**4 - 134*c**4 + 101*c**4 + 619 - 4179*c**2 + 4171*c**2 wrt c?\nAnswer: -704*c**3 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2665 and 4687735.\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 11:01 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**3*c\/c**(2\/19)*(c**1)**(1\/31)*((c**3*c)\/(c*c**2))\/(c**5*c*c**(-2)*c) assuming c is positive.\nAnswer: c**(-2988\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5232f (base 16) to base 11.\nAnswer: 20aa5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*w + 3726 = -110. Calculate the lowest common multiple of w and 2149.\nAnswer: 8596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + (sqrt(75) - -1*sqrt(75))**2 + (sqrt(144)\/sqrt(4))\/sqrt(12) + (-4 + sqrt(3) + -1 - sqrt(9)\/sqrt(3)*2).\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - f**2 + (-3*f + f + f)*(-2*f + 0*f - 2*f) + 49*f**2 - 24*f**2 + 2 - 26*f**2 - 338*f to s + u*f**2 + b*f and give b.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 2, h: 4}. What is prob of sequence egh?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28957 (base 11) to base 2.\nAnswer: 1010000001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22401 in 3, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8246350 divided by 70.\nAnswer: 117805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Suppose 2 = b - w. Suppose 6*s = b*s + 10600. What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 1186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -197?\nAnswer: -59.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(726))\/(4*sqrt(8)) + 6*(sqrt(12)\/(-1*sqrt(4)) + 3))**2.\nAnswer: -333*sqrt(3)\/2 + 24843\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-19))**42 assuming m is positive.\nAnswer: m**(-798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -544\/247 - -30\/13. What is the second smallest value in -2, w, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1210769 + 3557852. Let t = f - 2347083.13900332. Let o = 0.139 + t. What is o rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j + 2. Let z = -263 + 259. Let c(a) = 16*a + 5. Let l(q) = z*c(q) + 9*b(q). Let x(k) = -2*k. Calculate x(l(n)).\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12268 - 12269. What is the nearest to -4\/11 in l, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 61.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.33 - 13.67. Let r = c + 15. Let s = 11\/4 + -37\/12. What is the nearest to 1 in r, s, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, l: 6, k: 2}. What is prob of picking 1 k and 3 q?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 346 - 346.15. What is the nearest to -2 in -1, a, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 145 = -5*i. Suppose -t - 3*v + 2*v = i, -3 = v. What is t rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/15 + (15442\/6)\/7. Let w = j + -375. Let k(c) = -c**2 - 10*c - 7. Calculate k(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 q when four letters picked without replacement from {k: 18, q: 2}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 - -624) + -2*1. Let t = 2626 - x. Suppose t - 140 = 4*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31\/11 - 2\/(-11). Suppose -d*s = -14 + 2. Determine f, given that -5*f + 4*f + 5*f**3 - 4*f**3 + 3*f**s - 3*f**2 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-7 + 5 + (0 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1153, 1737, 2321, 2905, 3489, 4073?\n\"Answer: 584*s + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*l**6 + 1742859*l**5 + 2026*l**2 - 71249*l + 2.\nAnswer: -1440*l**3 + 104571540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120123 (base 4) in base 11?\nAnswer: 11a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in 2\/9, 1, -2, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 69 = 1. Let a = -191 - f. Let b = -81 - a. What is b rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5 + 446*p**3 + 30*p + 46.\nAnswer: 60*p**3 + 2676*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i**3 - i. Determine u(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 8*i = 7*i + 21, t - 2*i - 13 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10404*g**3*h**3 + 13*g**3*h**2 + 4*g**3*h - g**3 - 2*g**2*h**6 + 13*g*h**2 wrt h.\nAnswer: 62424*g**3 - 240*g**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**4 + 2*y**4 - 4*y**4 + (13*y - 13*y - 2*y**2)*(y**2 + 0*y + 0*y) in the form o + u*y**4 + r*y + i*y**3 + v*y**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -251004 divided by 20917?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33792523 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*k - 1203 = 1845 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -550.0085 - -0.0085. Let j = x + 550. What is the third smallest value in j, 0.1, -213?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76\/195 - 2\/195. Let t = -160.7 - -161. Let b = 0.5 + 2.5. Sort t, b, w in decreasing order.\nAnswer: b, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 15 - 3. Solve u*x - x = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3961 is divided by 445?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8*o + 16*o - 305178. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211786*0.04643.\nAnswer: -9833.22398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1. Let f(m) = 11 - 6 - 4 + 6 + 2*m. Let z = 34 + -33. Let l(k) = z*f(k) + 2*y(k). What is l(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 122*d - 33. Give v(41).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003235987352 rounded to 6 dps?\nAnswer: -0.000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -32103.84?\nAnswer: -3210.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.8 + 1522.2. Let s = j - 1308.3. Round s to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -576, -1410, -2554, -3996, -5724?\nAnswer: -7726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-69 - -74) + 1 + -10 + 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2476 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 3*h + 2*h + (-3*h - 3*h + 3*h)*(-4 + 6 - 4) + h - h + 2*h + 6*h - 2*h - 3*h + 0*h - 2*h + 5*h to k*h + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63648723 to two dps.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -9\/4 (c) 528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = 0, 4*o + 0*o = -x - 1076. Let b = o - -296. Calculate the greatest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 64. What are the prime factors of (2\/5)\/(h\/(-3135))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 53286 = d, -5*d - 3*p = p - 266419. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385443 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {c: 6, a: 3, x: 2, n: 1, w: 7}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -134\nAnswer: -1608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 1:57 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -340, 3.\nAnswer: -340, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -820.95955 - -821. What is s rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-208)\/6 - (-2)\/(-6). Let z be h\/14*(3 + -1). Let s = z - -13. Solve 0 = f - 4*n, 0 = 2*f + 4*n + 4 + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 8. Suppose 0 = -0*f + 5*f. Suppose 3*s = 4*z + 14, 0 = 5*z - 2*s + 16 - 2. Sort z, j, f in increasing order.\nAnswer: j, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 936806.7m?\nAnswer: 936806700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/27*-6)\/((-1)\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(1\/7)*n)*n*n*n*n**(-1\/9))**(-33) assuming n is positive.\nAnswer: n**(-2596\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1601 * -2\nAnswer: -3202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 883\/38 + -29401\/1197. What is the common denominator of 139\/72 and y?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5 + 4. Let w = 15 - t. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.9.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02024 - -0.02044848. What is w rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2525 - 55641\/22. What is the common denominator of y and -59\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 21. Let m be h(21). Suppose 0 = 4*y - m*y - 56. Suppose -d = 2*d - 81. Calculate the remainder when d is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 85\/8? (a) -0.093 (b) -1\/3 (c) -0.01 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-84*t**4 + 4*t**4 - 92*t**4).\nAnswer: 516*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26547 - -68589. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134274175 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c21 (base 13) in base 12?\nAnswer: -8999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 4*d)*(2 + 0 + 4) + (-5 + 3 + 3)*(d - 2*d + 0*d) as q*d + a and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -v - 15, v - 2*v - 5 = -2*d. Let a = -1 + d. Find the third derivative of a*i - 4*i + 2*i**2 + 13*i**6 - 15*i**6 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*u - 589*u**3 + 505*u**3 - 22*u wrt u?\nAnswer: -504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001 (base 2) to base 14.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 12*c + 7. Suppose -3*p - 2*y = -60, -4*p - y + 40 = -2*p. Let n = p + -15. Let z be b(n). Calculate the highest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4056 - 12919 - 6689 = -216*p. Solve 182*w - 164*w - p = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.108 + 0.292. What is the closest to 0 in 2, q, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -33*b + 482. Determine r(21).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by 1.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123823.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 - 36*l**4 - 1380*l**3 - 5788*l**2 + 7200*l = 0.\nAnswer: -9, -8, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 5*p - 33*p**3 + 7*p - 12 + 29*p**3 in the form m*p**2 + f + n*p + r*p**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-85)\/(-2)) + (-22)\/(-102)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12323023 (base 4) to base 3\nAnswer: 1102220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 = -60*j + 181 + 1153 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67503 + 33779 - 6*n - 3*n**2 + 33783.\nAnswer: -3*n**2 - 6*n + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104328*x**4 - x**3 - 43700*x**2 + 2 wrt x?\nAnswer: 2503872*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5208\/45257 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11204 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s. Let g(q) be the second derivative of -q**3\/2 + 5*q. Calculate p(g(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 1033*n**5\/30 - 791*n**4\/24 + 696*n**2 - 2. What is the second derivative of c(g) wrt g?\nAnswer: 4132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -188*g - 927. Give l(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86453 - 6051611\/70. Calculate the common denominator of t and 58\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.4697.\nAnswer: 0.4697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 41880*m - 2. Let t(i) = -i**2. Determine u(t(g)).\nAnswer: 2*g**4 - 41880*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23326 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 4. Let m be f(6). Suppose -v - 2*g = -17, 7*g - 33 = -m*v + 2*g. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -0.02, 634.61?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nffffyffnf. Give prob of sequence nyf.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 13968.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*(-1 + (-9)\/(-6)). Suppose -3*r - 4*d + 28 = r, 5*r - 35 = -c*d. Let x(n) = 17*n - 47. Let q be x(4). What is the greatest common divisor of q and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000064435 rounded to seven dps?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -53. Let v(f) = -3*f + 13. Let d be v(o). Suppose -4 = -u - 0, d = 4*c + 2*u. Solve 5*a = -2*z + 29, -c = -2*a + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3249?\nAnswer: 4\/3249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6718*a**2 - 3330*a**2 - 3348*a**2 - a - 25*a**3 as y*a**3 + b*a**2 + j*a + v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/11 (b) -4 (c) -0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1764*s**4 + 400874*s**3 + 25490858*s**2 - 6467844*s + 174096 = 0 for s.\nAnswer: -52, 3\/98, 2\/9, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s = 44*s - 84*s - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Let k = 0 - o. Let r = 13442\/21 - 640. Which is the closest to -0.1? (a) 1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 37 = -1285. Suppose c + 52 + 44 = 0. Is c at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(8\/3)\/(l**(-4\/7)\/l)*l**(-5)*l**(-3\/2))**(-1\/9))**(-29) assuming l is positive.\nAnswer: l**(-2755\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 64*q - 8. Determine j(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -2\/11 (b) 2\/9 (c) -2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = -6. Let f(z) = z**2 - 8*z - 5. Let n be f(9). Suppose y + n - x = 0. Solve -2*j + y*o - 2*o - 10 = 0, 4*o = 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80207*f + 38 = -80198*f - 5*k, 3*f + k = 6*k - 4 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46778512 and 56.\nAnswer: 327449584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - 41 - (-1 - -2 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4076127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -83, -115, -153?\n\"Answer: -3*k**2 - 17*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -4.04. Let q be (-144420)\/34430 - (-3 + -1). Let u = q - -4\/313. Which is the second smallest value? (a) h (b) 2 (c) u (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71264*x**4 - 2*x**2 + 151301*x?\nAnswer: -1710336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*p + p**2 - 2*p**3 + 138*p - 52*p - 51*p - 16 + p**4 to f*p**3 + h*p**2 + a*p**4 + y*p + w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10990*t**5 - 19*t - 340.\nAnswer: 219800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -3*sqrt(77)*2)\/(sqrt(55)\/sqrt(245)))**2.\nAnswer: 16807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*5\/2)\/(6270\/8778).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3\/3 + 10875*c**2 + 636170*c + 3686480\/3 = 0. Calculate c.\nAnswer: -56, -2, 6583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 39*t**2 + 410*t - 1582. What is p(47)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -83. Solve -5*y + 6 = -m*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**6\/30 - 21*l**5\/25 + 3*l**4\/20 + 61*l**3\/15 - 21*l**2\/5 - 2244. Determine r so that q(r) = 0.\nAnswer: -21, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(90)\/sqrt(3)*6 - -3*1*sqrt(30))\/(1*sqrt(726)*1))**2.\nAnswer: -18*sqrt(5)\/11 + 526\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -2 - 7) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from dwwwwwwwd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45 (b) 77 (c) 7095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/60*(-25)\/(-4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11165474 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 25. What are the prime factors of (-414)\/h*(-2)\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5598447 to the nearest integer?\nAnswer: 2366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/144 and 51\/40.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 2*y + y - 14*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5256*v + 5242*v - 33 - 6 + 2*v + 1 - 1 + (-4 + 3 - 1)*(-1 - 2*v + 1) - 5*v - 2*v + 6*v - 1 - v + 1 + 1 - 2*v + 2*v - 2*v.\nAnswer: -12*v - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 114, 212, 360, 564?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 516 = -332. What is the greatest common factor of 16 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2. Let v(o) = 5*o - 23. What is j(v(y))?\nAnswer: -125*y**2 + 1150*y - 2645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 68*r**3 + 5*r**3 - 3*r.\nAnswer: 73*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from cccccccccccclciccc.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000949382 rounded to six dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 35*m + 566. Let x be g(-12). Solve -x*c + 44*c = -84 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30*(-3)\/21*-7. Suppose 0 = -3*s - 6, -2*s - 9 + h = k. Calculate the remainder when k is divided by ((-42)\/(-9))\/(2\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -329457044021.\nAnswer: -329457044022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -924?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 310022323 (base 4) in base 16?\nAnswer: 342bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 3 - 2)\/2. Let r be (-1)\/(((-3)\/9)\/(-1)). Sort c, r, -2 in decreasing order.\nAnswer: c, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 - 1.5. Let d be 2 + 228\/10 - 0. Let s = -25 + d. What is the smallest value in z, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*f*u**2*w**3 - 18*f*u**2*w**2 + 3*f*w**2 + 2*u**2*w + 2*w**2 wrt w?\nAnswer: -420*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.2, 0.4, -15.\nAnswer: -19.2, -15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 8*s**2 + s. Give m(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rroooroorror. Give prob of picking 1 r and 1 o.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 520 + -520.0087. Let h = 5.0087 + s. Which is the second biggest value? (a) 12 (b) 0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, o: 11, p: 3}. Give prob of picking 2 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 49270.67*2\nAnswer: 98541.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 5. Let q be u(-2). Let n = 731\/3013 - 9\/131. Let l = 6\/23 - n. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-278)\/66 - (-1)\/(-3) and -31\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(12)\/((sqrt(6) + (sqrt(6) - sqrt(18)\/sqrt(3)))*1))**2 + 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, -1\/5, -1, -2, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 116, -3, 1, -1529 in increasing order.\nAnswer: -1529, -5, -3, 1, 3, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 82. Calculate the common denominator of 31\/3 and (q\/2 - (-755)\/(-60)) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.926 - -0.1.\nAnswer: -36.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(32)).\nAnswer: 6 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 36\/193 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137114672 divided by 74036?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66878132 is divided by 648?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32073, -65178, -99323, -134508, -170733?\n\"Answer: -520*v**2 - 31545*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-2 + 2 - l + (-3 + 0 + 0)*(-2 + 2 - 2*l) - 6*l + 16*l + 0*l).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:09 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 16*o - 34. Let j be k(4). Factor -j*t**2 - 167 + 167 + 5*t**4 - 25*t**3.\nAnswer: 5*t**2*(t - 6)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (171\/76)\/(3\/4). Let g = 10 + -2. Solve -s = t*s - g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 394492 * 0.4.\nAnswer: 157796.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34418916 and 1512.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -107, -218, -329, -440, -551?\n\"Answer: -111*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/375)\/((-16)\/4240)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/1*(0 + (-2)\/4). Let x = 6 + -10. Sort n, x, 0.3 in descending order.\nAnswer: 0.3, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -865 * -0.8.\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/(4\/4*-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + -0.36. Let t = 0.4 + m. Let j = 1 - 0.9. Do t and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.211 + -0.243. Let a = k + 12.032. What is the nearest to 0.2 in 3, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6, -3, -1, -9 in increasing order.\nAnswer: -9, -7, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 15 - 4 = 5*y, z - 2 = 0. What is the second derivative of -c + 3*c**y - c**3 - c wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145 + 148. Suppose -5*f + 3*k - k = -1697, -n*f + 3*k + 1011 = 0. List the prime factors of f.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 2 + r + 8*r**3 + 8*r**2 - 7*r**2. Let q be m(1). Suppose -q*g = -10*g - n + 143, -258 = -2*g + 5*n. List the prime factors of g.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 46, 2298, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 36 and -11980357652.\nAnswer: -11980357616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 31*m**3 + 9*m**2 - 3*m + 4. Let b(i) = -34*i**3 - 10*i**2 + 4*i - 5. Calculate -7*b(f) - 8*s(f).\nAnswer: -10*f**3 - 2*f**2 - 4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*g**5 - 3748*g**4 - 964*g**2 - g + 24 wrt g.\nAnswer: 8160*g**2 - 89952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -15. Which is bigger: -2\/9 or k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 1 - -4) + 447. Let n = -450 + x. Solve 3*w - 5*h = -n*h - 2, -4*h = -3*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 48. What is the greatest common divisor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**6\/360 - d**3\/2 - 3*d. Let b(f) be the second derivative of g(f). Let r(l) = -5*l. Calculate r(b(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 246241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(27\/6) - (-2)\/(-6). Let b be -2*((3 - 953) + 1) - u. Suppose 0 = 4*v - v - b. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 7. Let f be p(-9). Let m = -82 - -331\/4. What is the third biggest value in m, -14, f?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 + 12*q**2 + 7*q + 14. Let h be w(-6). Let r = -40 + 70. Let a = h + r. Solve -4*s = 3*i + 32, -32 = a*s + 4*i - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3 times 11597?\nAnswer: 96255.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.9, 0.7, -2, 9\/4.\nAnswer: -4.9, -2, 0.7, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s - 27 = -57*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let p(j) = -54*j - 65. Calculate g(p(v)).\nAnswer: -108*v - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32281206?\nAnswer: 2, 3, 1319, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1450 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -53*t - 287. Let w be x(-24). Let o = -324 + w. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeie when four letters picked without replacement from ieeiei.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v + q = 2157018, -2*v = -5*q - 2157018. Suppose -5*a - v = -5386504. Suppose -6*c - a = 518401. What is c rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 48145*o + 0*o**2 - 5*o**2 + 48145*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463924908?\nAnswer: 2, 3, 193, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 4*d - 2*m - 25, 5*d = m + 24. Suppose d*f - 2*l = 35, 45 - 52 = -f - l. What is the lowest common multiple of f and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -878*k**2 - 1845*k + 1. Let d be w(-2). Solve 0 = -2*v + 4*f + 2, 0 = -5*v - 181*f + d*f - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177222067?\nAnswer: 11, 107, 150571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58905*k**2 + 5*k**3 + 58905*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 2*h - 5*h + 2*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 5*d**2 - 2*d - 5. Let u be y(-5). Suppose -5*k + 20 = -0*v + 5*v, -k = u*v - 20. Suppose 2*n = v + 4. Let z(x) = -2*x + 2. What is z(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416255*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*u - 6381345*c + 435331650*u wrt c.\nAnswer: -u - 6381345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -191*p + 1322. Calculate the remainder when g(6) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - b?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1110916\/1315665 - -2\/29237. What is the common denominator of a and 107\/160?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (0 + sqrt(171))) + 3*(sqrt(19)*1)**2.\nAnswer: -2*sqrt(19) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8930114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -65*j - 9. Give d(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = 3*z - 163, z + c - 54 = 0. What are the prime factors of z?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 676, -2, 0 in increasing order.\nAnswer: -2, 0, 676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/7 + 1242608*a\/7 - 1242636.\nAnswer: 4*(a - 7)*(a + 310659)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -2.852. Let w = -4.048 + y. What is the closest to -1 in 1\/5, 2\/17, w?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 108*g - g**2 - 87*g + 9 - 45. Let q be n(19). Solve -3*i = -q*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10268440 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -435702 (base 9) to base 7\nAnswer: -2132201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030264497 rounded to 4 decimal places?\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/3 + 210*v**4 + 19898*v**3\/3 + 18634*v**2\/3 - 6632*v - 19264\/3 = 0 for v.\nAnswer: -28, -1, 1, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(24)\/(sqrt(2)*1)))**2 + 6*(6*sqrt(28))**2 + 1.\nAnswer: 6056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*f + 8 = 89*f. Solve 0 = -3*q + f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1139*j + 26551 = -7619 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 24*o**2 - o - 13. Suppose 5*c - 19*c - 336 = 0. Calculate the remainder when a(c) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 4) to base 11.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 1410469248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -149, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2283, 2272, 2261?\nAnswer: 2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8762*i + 78871. Calculate a(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from oowwosowo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -718, -0.91 in ascending order.\nAnswer: -718, -0.91, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -2\/5, -1\/4, 88, -16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1904, 7849, 17800, 31793, 49864?\nAnswer: 72049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(1*1\/2). Suppose -3*k - 9 = -n. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7656, -7624, -7618, -7650, -7732?\n\"Answer: -2*o**3 - o**2 + 49*o - 7702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -88770?\nAnswer: -88769.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47630, -47577, -47524?\n\"Answer: 53*u - 47683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2516 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4194, 16343, 28490, 40635, 52778, 64919, 77058?\n\"Answer: -u**2 + 12152*u - 7957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/210 - 41*x**4\/42 + 27*x**3\/7 + 3*x**2 + 23*x + 4. Factor j(v).\nAnswer: 2*(v - 81)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 1, u: 1, g: 1, l: 1, x: 1}. Give prob of sequence xl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -306933545 + 306933619.5918381. Let p = -4.5918397 + x. Let t = 70 - p. What is t rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from zgzaagzaaaazzaz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 847.158 bigger than -1\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllvvvvvvvvvvvlv. Give prob of picking 2 l.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2208\/(-690))\/(-6*7\/(-210))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = b, -5*q - 463*b - 3 = -460*b. Solve 15*h + 31 - 1 = q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 21. Let w be v(-28). Let t be 1\/(w\/(-6) - 18\/36). What is u in -6 + 18*u - t*u**4 + 9*u**3 - 39\/2*u**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 21 - 3 - (0 - 3 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**3\/3 - 7*w + 133. Calculate s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -135685415, -135685418, -135685421, -135685424?\n\"Answer: -3*w - 135685412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 237420.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - 2*a**3 - 2*a**2 + 20 - 20 + 3*a + a**4 to m*a + i + r*a**3 + n*a**4 + q*a**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**2 - 532*l - 2560 = 0.\nAnswer: -128, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 2:09 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/3 - 3\/9. Let j(a) = -a**2 + 7*a - 8. Let r be j(w). What is the common denominator of 0 - (-1 - 47\/r) and 23\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.067, 1\/8, -1\/9, 87968?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2051 by 7900.\nAnswer: 2051\/7900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.13 + 0.13. Let j = o + 5. Let d = 2 + 2. Which is the second biggest value? (a) j (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 66*v**2 + 1 - 68*v**2 - 2*v**3 + 3*v**3 + 3*v. Let l(x) = x + 13. Let c be l(-10). Is z(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azzzzzzaazzz. Give prob of picking 3 a and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16401 is divided by 486?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 6. Let x(g) = g**2 + 7*g - 2. Let a be x(-7). Let s be (a*5)\/1 + 0. What is the units digit of w(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/5, 0.0169, 2\/9, 4, -1?\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - 0.27. Let k(y) = 2*y**2. Let d be k(-1). Let l be d - -10*(-4)\/32. What is the closest to 2\/3 in h, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219427?\nAnswer: 13, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p = 5*i - 54*p + 25, -5*p + 33 = -4*i. Which is the nearest to -1\/11? (a) 0.5 (b) 6 (c) i (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - l - 1 + 10, -3*z + 5 = -l. Let m(i) = 4 + z + 0 - i**2 + i - 8*i. Give m(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540730 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -221, -255, -359, -569, -921, -1451?\n\"Answer: -6*a**3 + a**2 + 5*a - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 37 - 7 = 4*d, 0 = 2*d - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -3*g + 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and -0.148?\nAnswer: -0.1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*m + 3. Find the first derivative of -2*u**m + 2 + 2*u**2 + 4*u**2 - 6*u**2 wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 371752879 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.086014 - 1.086. Round k to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -54443, -5 in ascending order.\nAnswer: -54443, -5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1469185409.99999945 + -1469185374. Let b = o + -36. Round b to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -501 by -177.\nAnswer: 167\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 723 = o - 2*o, 2*o = -4*r + 1462. Suppose 0 = 2*t - 797 - o. What is the greatest common factor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-12)\/3*1. Let m = 4 - u. Suppose 5*h - g - 32 = m, 5*h = 2*h + 3*g + 12. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/3*229\/458?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**3 + 0*s**3 - s**3)*(42 + 10 - 8)*(0*s - 3*s + 5*s) to y*s**4 + h*s**3 + g + p*s**2 + a*s and give y.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:34 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -32*i + 10*i + i**2 - 8 + 11*i. Let z be l(12). What is the derivative of -7 + 0*b**4 - 4*b**4 - b**4 + 0*b**z wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1841157*j**3 - 705776?\nAnswer: -5523471*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + -2*sqrt(2)).\nAnswer: -24 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 521 - 366. Let y = 155.00000488 - p. What is y rounded to seven decimal places?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmlmllllllm. What is prob of sequence mm?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4321 + 6851. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006541 rounded to 4 decimal places?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:44 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {q: 2, e: 4, v: 3, x: 1, l: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - j - 15, -11*k = -6*k - 2*j - 10. Put 10, 1, k in descending order.\nAnswer: 10, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)*k**(-21)*k*k)**(-28\/3) assuming k is positive.\nAnswer: k**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 934.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 8*w**3 + 2.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000787 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 283\nAnswer: -3\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**0*s)**1*(s*s**(1\/8)*s)\/(((((s**(2\/7)\/s)\/s)\/s)\/s)\/s))**38 assuming s is positive.\nAnswer: s**(10469\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*b**5\/3 - 7328*b**4\/3 - 940*b**3\/3 + 4768*b**2\/3 - 1756*b\/3 + 184\/3 = 0 for b.\nAnswer: -1, 1\/4, 2\/5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/26 and -1\/234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**2 - 2. Let o be d(-1). Suppose o*q - 10*q = -2*q. Solve q = -3*h + 8*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvbvvvvvvgvbzvvv. Give prob of picking 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*b**2 + 353*b**3 - 922*b**2 + 462*b**2 - 355*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94523.55 weeks to hours.\nAnswer: 15879956.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xiiw when four letters picked without replacement from {l: 6, i: 2, x: 1, w: 6, p: 2}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 96 - 24. Calculate the common denominator of -45\/7 and 9\/(-12)*(-272)\/q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 9, 0.071, 8\/13, -0.4 in decreasing order.\nAnswer: 9, 4, 1, 8\/13, 0.071, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - ((-10)\/1)\/2. Let t(f) = 12*f - f - q - f + f**2 - 3. Calculate the remainder when t(-16) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 2776.\nAnswer: 24984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -755 - 303. Let b = h - -8443\/8. Let p = -58799\/16216 + 2\/2027. Calculate the common denominator of p and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-90)\/40 + (-3)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/3 (c) 13 (d) 0.0219\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-11 - (-10 - (-5 - -7))) + -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 784 and 130074?\nAnswer: 7284144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913443811 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 2, 2\/7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/25))**(-5\/3) assuming a is positive.\nAnswer: a**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*v**6 - 42*v**2.\nAnswer: 9000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.92 minus -133?\nAnswer: -284.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*l = -62*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -91*w**3 - w**2 - 6*w - 28. Let l be d(-3). Calculate the highest common factor of l and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -693*h**2 + 432 + 847 + 911*h**2 - 3303*h**2 wrt h?\nAnswer: -6170*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*n**3 + 205*n**2 - 600*n - 1260.\nAnswer: 5*(n - 3)*(n + 6)*(9*n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 3203.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 1:10 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134816 and 1936448?\nAnswer: 21300928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684 and 3197871.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1172997207*d**3*r + 15*d**2*r - d**2 + 343*d*r - 5*d - 3*r wrt d?\nAnswer: 7037983242*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:59 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-1)\/(-2))\/(-1*4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/17))**5\/(((n\/((n**(2\/21)*n*n)\/n))\/n)\/(n**(-2\/5)*n)) assuming n is positive.\nAnswer: n**(13001\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j\/j**(-6\/7))\/j)\/j)\/((j\/(j\/(j\/(j*j\/(j*j*j**6)*j)))*j*j)\/j))**(1\/27) assuming j is positive.\nAnswer: j**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -473 + 1193. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23434670 and 940.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/3*(-1 + 0). Suppose p = -5*r + 82 + 43. Let i = r + -3. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*m**6 - 121443*m**4 + 107*m**2 - 1319*m.\nAnswer: 3120*m**3 - 2914632*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/3)\/((-40)\/48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*x - 12383 = -11567 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 3. Let t be -7*(-3*1 - z). Suppose 0 = -t*p + 2*p + 295. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 819506 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 + 7*b - 2. Let f(n) = -13*n**2 + 14*n - 6. Let z(q) = -2*f(q) + 5*w(q). What is z(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -7. Let u = 0.136 + -0.036. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8803332, -17606780, -26410228, -35213676, -44017124, -52820572?\n\"Answer: -8803448*i + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(-4 + (-5*sqrt(242)*-2 - (sqrt(242) + 5 + 0 + sqrt(242)))))**2*-4.\nAnswer: -2241936 + 228096*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28271 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-90))\/(3\/21)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 o when four letters picked without replacement from {u: 4, a: 3, o: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 66, 134, 206, 282?\n\"Answer: 2*f**2 + 62*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:19 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 plus -1262344?\nAnswer: -1262669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 34 = 3*u + 6*w, -4*w = 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*k - k - 16, 2*k = -3*l + 1. Suppose -l*c + 3*x = -234, -5*x = -2*c + 156 - 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.27 and -0.1?\nAnswer: 1.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -14 (b) 2\/9 (c) -0.73 (d) -35 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.204964 to two decimal places.\nAnswer: -62.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = y + 3*y + 2*g, -g - 1 = 0. Let o = y - 32. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5141, 20550, 46241, 82220, 128493?\n\"Answer: m**3 + 5135*m**2 - 3*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (75\/(-45))\/(1\/3). Let h be p - -1 - (-14 - -6). Solve -2*s - 3*l - 6 = 9, 2*l = -h*s - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*z + 728 - 768, -z - 4*q = 2. Solve -13*n + 2 = -z*n, 3*h - 5 = 4*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2548, 2505, 2462?\n\"Answer: -43*r + 2591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 41 + (-81 - (-52 - -22))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 2*b**7\/21 + 52*b**6\/15 + 166*b**5\/5 + 140*b**4 + 294*b**3 + 324*b**2 + 3*b - 8. Find q such that c(q) = 0.\nAnswer: -18, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 1, t: 1, u: 1, k: 4}. What is prob of picking 1 k, 1 u, and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m + 0*m)*(-3 - 1 + 3) - 3*m + 5*m + 0*m + m + m + 9*m - 3*m + 3*m + 2*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -91 + (109 - (112 - 65))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*o + 35*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -0.025 (b) 0.03 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 2*j**3 - 5*j + 2*j + j**2 + 4*j in the form l + u*j + y*j**3 + v*j**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 792 = 564. Put 4, -6, f in increasing order.\nAnswer: -6, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106352662331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*r = 10, -5*s + 4 = r - 4. Let j(i) = 2 - 1 - 1 - s*i. Let a(u) = -3*u**2 - 4*u**2 + 5*u**2. Calculate j(a(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 24*w**2 + 93*w - 25. Give x(19).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3184*k**4*t - 82*k**2*t**3 - 2*k + 28*t**3 + t**2 + 5*t - 1342 wrt k.\nAnswer: -12736*k**3*t - 164*k*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7380.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11676 = 33*t - 39*t. Calculate the highest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.458 - -8009.1.\nAnswer: 8008.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4490892 = -4*v, -11227158 = -5*z + 13333*v - 13334*v. What is z rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 17.\nAnswer: 4, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v + 18. Let b be g(-8). Let a = b + 12. What is the units digit of ((-2)\/a)\/((-5)\/570)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 733.58843*3.\nAnswer: 2200.76529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103118246 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132214192 a multiple of 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 4. Let a(n) = 548*n - 496. Let v(s) = a(s) - 2*h(s). Differentiate v(y) wrt y.\nAnswer: 544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, u: 1, f: 1, t: 2, g: 7, e: 4}. What is prob of sequence fe?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 10*i**2 - 6*i + 75. Let p be y(-8). Sort -0.07, -3, p.\nAnswer: p, -3, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3975349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-2)*4\/(-16).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (21 - (1 + 7 - -1)) + (12 - 2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*d**2 + 473*d**2 - 1380*d**2 + 467*d**2.\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52604 = 17*w - 98135. Let s = -5272 + w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 45*u + 0 - 2 + 6*u to the form y + m*u and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 25 = -2*z. List the prime factors of (6 - z) + (-1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 218 + -650\/3. Factor -2\/3 + 4\/3*q**3 + 2\/3*q**4 + 0*q**2 - x*q.\nAnswer: 2*(q - 1)*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, 1 i, and 1 s when four letters picked without replacement from {x: 1, p: 6, s: 3, i: 2, t: 3, a: 4}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -1, 0*q + 135 = 4*q + 5*c. Let r be (-10)\/25*20*-1. Let o = r - q. What is o rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 24 = 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 3\/1 - -5. Let f be (15 - 4)\/(15\/120). Let n be (11\/f*2)\/((-2)\/(-24)). Solve -u + q*u = n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let l = -8799 + 8779. Put l, v, -3 in increasing order.\nAnswer: l, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/162 and -143\/1458.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(3))**2 + -2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121 - -1112101?\nAnswer: 1102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*(49 + -92 - -42).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 3*c - 69. Let g = c - -28. Solve g - 1 = 3*s + 4*d, 5*s - 22 = d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1.9.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -80. Suppose -2*z = 3*z - 5*f - 25, l*z + 4*f + 20 = 0. Solve 0 = 2*b + 4*a - 18 - 10, -b + 5*a - 21 = z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13837 + 9.81937. Let k = -9.7 + z. Let h = -0.1 - -0.2. Which is bigger: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 9 = 93 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 8 = -6*o, 3*o - 8 = -2*y. Solve -6 = 5*p - 3*k, -2*p = 4*k + y + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5 - 9310*m**4 - 11202044*m**3 - 848774468*m**2 - 1663980034*m - 826398302 = 0. Calculate m.\nAnswer: -2287, -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 78376500*o. Let s(p) = 2*p**2. Give s(l(t)).\nAnswer: 12285751504500000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 10*v**2 + 4*v + 42. Determine a(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -1 - -17) + (-3 - -3 - 25)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 6:15 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 0*n - 4*n + (4 - 1 - 2)*(209 - 209 + 29*n) + 2*n + n - 5*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {f: 5, e: 4, a: 1, z: 5, v: 3}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3281128.\nAnswer: 2, 410141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or 1\/55?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*q + 5*q. Let n(z) = z**2 - 21*z + 95. Let b be n(7). Sort -5, b, q, 0.\nAnswer: -5, b, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3361 = -64*m + 3041 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 - 77*q - 5. Determine i(-4).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 107*k + 3099. Let a be t(-29). Suppose 5*j - 5 = b, j = -3*b - j - 15. Is a > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*((-100)\/(-50))\/((-77)\/(-1))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5848 - 3287. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 18. Let o be q(14). Let l(m) = m**2 - 6*m + 6. Give l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 5. Let z be -2 + 2 - -2 - -2. Suppose -z*l = -2*l. Let s = -3 + l. Let u(k) = -k**2 + 2. Determine s*a(y) + 7*u(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.8 (c) 7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (880\/(-4))\/4?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*d**3 + 192*d**3 - 387*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 9*k**2 - 6*k - 10. Let p be u(8). Let d be (-45)\/27 - (-154)\/6. Suppose 33*f = 39*f - d. Solve -p = 2*i - 2*t, -4 = -i - f*t + 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14895461 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2. Let b be t(1). Let p(q) = 845*q - 420*q - 6 - 420*q + 8*q**2. Does 2 divide p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m + 85. Suppose -m = -3*c + 1. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (136\/595*(-15)\/2)\/((-6)\/28)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, -7, 0.3, 321, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664317 (base 12) in base 15?\nAnswer: 61123a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 11 - 19 + 25 - 131.\nAnswer: -2*y - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*q - 8*q + 0*q as x*q + n and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + -0.02. Let y = -27\/217 + 1219\/2821. Sort 0.2, w, y.\nAnswer: w, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 82212\/11 (b) -2 (c) 5 (d) -0.2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/2 + 5*q + 1\/2*q**2.\nAnswer: (q + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146.32 times -0.4\nAnswer: -58.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*s = 2*s - 2, 0 = 5*s + 10. Let i = 5 - l. What is the remainder when 5 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22227 = 960*m - 26733 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - 21. Let l = -95 - i. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(o + 5*o - 5*o) - 5*o + 0*o + 2*o + 0*o - 2*o + 0*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 6*f + 5*j - 40, -805*j - 17 = -f - 809*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -265?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q - 7. Let o(g) = -g**2 - g + 6. Calculate -3*n(s) - 4*o(s).\nAnswer: 7*s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9f (base 16) to base 3.\nAnswer: -12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/9))**23*(p*p*p**(1\/12))\/((p\/p**(1\/4))\/p))**(28\/5) assuming p is positive.\nAnswer: p**(1232\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + r**5 - 2*r + (-3007*r**5 - 5015*r**2 + 5015*r**2)*(-1 - 1 + 0).\nAnswer: 6015*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1173 = 543*s - 6972 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-19 - (9 + -24))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 26975834*n**2 - 90961992963182*n + 272885736107094.\nAnswer: -2*(n - 6743957)**2*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 5*w**2 + 5*w + 5. What is the tens digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -168 + 1?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458418416 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3 + 5)\/42)\/(7\/771). Let a = 3726\/637 - f. Let h = a - 6\/13. What is the third smallest value in -1, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(17*u - 11*u - 2*u) - 2*u - u + u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s + 1. Let w be l(4). Let k be w\/(-55) + (-6)\/(-15). Is 0 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81370780 to the nearest integer?\nAnswer: 9021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8225?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) - (-5)\/2. Let v(b) = 2*b**2 + 7*b - 2. Let r be v(-4). Suppose 8*k = 6 + r. Solve u*l - 9 + k = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 11. Let f be k(13). List the prime factors of f - (-3 + 10\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466733 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13597343*d + 23246260 wrt d?\nAnswer: -13597343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, w: 7, n: 4}. Give prob of picking 1 n and 1 a.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -408 by 204.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -901\/6, -7, 0.5, -3 in increasing order.\nAnswer: -901\/6, -7, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -22*i**2 + 2419*i + 18. Give h(110).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/4, -13.9, -0.3 in descending order.\nAnswer: 1\/4, 0, -0.3, -13.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -283\/56 - -37\/8. What is the nearest to -0.1 in 1\/13, o, -31, 2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 w when three letters picked without replacement from wdsffsszsdfossdws.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -14074?\nAnswer: 14072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1568\/616 - 30\/55. Solve 0 = -45*g + 50*g - a*z - 17, 4*g = -z + 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22a - 76?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148385 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-405))\/(2\/(-10)). Is d equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 3*m - 8 = -2*k, -4*k + 4*m = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 3955*j + 143070.\nAnswer: 5*(j - 753)*(j - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-78)*11 + 118\/885. Let r(x) = 1 - 10*x + 9*x + 2*x. Let u be r(-2). Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/86234?\nAnswer: -1\/86234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02230708 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13506.\nAnswer: 2, 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 52*h - 32. Calculate i(-53).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55260, -55258, -55244, -55212, -55156, -55070?\n\"Answer: k**3 - 5*k - 55256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 509587497?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20142, 19955, 19768, 19581, 19394, 19207?\nAnswer: 19020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 10*c**3\/3 - c. Suppose -5*a = 209*k - 204*k + 5, 4 = -k - 2*a. Let x(f) = f. Give k*b(s) - 36*x(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -1 - (-65 + 0 - ((305 - 126) + -173)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + 4*o - 4*o)*(-3 + 2 + 2) + 15*o + 7*o - o + (-4 + 2 + 4)*(-7*o + o + 4*o) to h*o + l and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99612 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 - (-5 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 771*j**3 - j - 2*j - 768*j**3 + 29 + 2*j to c*j**3 + h*j**2 + l*j + v and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -9308\/3407?\nAnswer: -9308\/3407","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 14613.2596 - 14486. Let d = h + -0.0596. Round d to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + 14101?\nAnswer: 14012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 + 3*q + 4. Let f(y) be the second derivative of -y**5\/5 - 2*y**3\/3 - 5*y**2\/2 + 9*y - 20. Determine -4*f(x) - 5*h(x).\nAnswer: x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-10) - 34\/85. Suppose 5*y = m*b - 10, 0 = -b + 4*b + 4*y - 34. Solve -5*q + 3*q - b = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = -409*s + 61*s. Suppose -4*p + 1 = -g, -g = g - 3*p - 3. Calculate the remainder when g is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -281\/7. Let r = 104 - 6346\/61. Let f = r - 57\/122. Which is the nearest to f? (a) 5 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/20*-4)\/((-1)\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1 + sqrt(17) + (sqrt(17) - (sqrt(136)\/(sqrt(8)*-1) + sqrt(17) - sqrt(17)))) - (3 + (-4 + 1*sqrt(17))*-3)) + 1)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 69 = -6*q. Let c = -23 + q. What are the prime factors of 109 - 1\/2*(-4)\/c?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-7)\/(21\/(-24)). Let l = 11 - i. Let s be (2\/(-4))\/((-2)\/20). Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 64*h**3 - 811*h**2 + 3*h + 3. Let d(u) = -u**3 - u**2 + u + 1. Let o(i) = -3*d(i) + x(i). What is the third derivative of o(t) wrt t?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*a - 48, 67 = -43*a + 4*o + 44 + 351 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -61*g**5\/60 + g**4\/3 - g**3\/6 + 63*g**2. Find the second derivative of t(n) wrt n.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -58, -86?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a = -34*a + 744. Is a at least as big as -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/((p*p*p\/p**(1\/5))\/p))\/((((p\/(p**(2\/3)*p)*p)\/p*p)\/p)\/p**6))**26 assuming p is positive.\nAnswer: p**(1118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 11*o**2 - 5*o + 47. Suppose 0 = -211*w + 548 + 1773. Calculate j(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 282, 885, 2050, 3963?\nAnswer: 6810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (10 - (25 + 28 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36481 - -36483. What is the second smallest value in 225, r, 2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - r + 229, 0 = 4*f - 2*f + 5*r - 452. Let x = 48 - 27. What is the highest common divisor of x and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o + 2*o)*(542 - 189 + 11435*o - 353).\nAnswer: 34305*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 - 845*h - 5159. Calculate l(-6).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 753*i**6\/2 + 1087*i**3\/3 + 844. What is the third derivative of d(w) wrt w?\nAnswer: 135540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*a + 4*d = -129*a + 56, -5*a - 2*d + 112 = 0. Calculate the remainder when 58 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20020 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 10 = 2*g. Let j = -7 + g. What is the remainder when 33 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528730129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 279580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31506 and 708.\nAnswer: 63012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 + 8685*s**2 + 103680*s + 310500 = 0 for s.\nAnswer: -1725, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s - 0. Let t be 15 + -2 - 2*s\/4. Factor -9 - t*y**2 - y - 5*y + 9*y**2.\nAnswer: -(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -165*c**3\/2 + 1015*c**2\/2 - 455*c - 100 = 0.\nAnswer: -2\/11, 4\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1886 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 440934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 54 - 72. Suppose 7*t + 96 = 3*w + 10*t, 3*w - 84 = o*t. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288 a factor of 211054272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.7 rounded to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 44 = 4*o - 0*o + 4*m + 4*m, 7*m = 4*m + 6 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006891815 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452)*1)**2 + 5 + 5*(sqrt(363) + (1 + sqrt(363))*-3)**2.\nAnswer: 660*sqrt(3) + 8762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4438 and 28930054.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2 + 10 + 6*p**2 - 9*p**2 + p**3 + 0*p**3 + 9*p. What are the prime factors of z(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 368*b + 16928.\nAnswer: 2*(b - 92)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6146 (b) -2 (c) 0.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by 3?\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 6*s - 6. Let l be v(-6). Let p(a) = 2 + 3*a**3 - a**3 - a - a**3 + 6*a**2. What is the units digit of p(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 9*r**2 + 9*r + 6. Suppose 3*l - 64 = -5*x - 5, 29 = 2*x + 3*l. What is y(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 5*v**4 + 2*v**4)*(-2*v - 2 + 2) + 2*v**5 - 12*v**2 + 12*v**2 - 3*v**5 + 0*v**5 + 4*v**5.\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -49. Which is the third smallest value? (a) 0.3 (b) o (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) -14 (c) 13.79 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, -3, 3 in descending order.\nAnswer: 165, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 7*w**2 + 4*w + 1. What is the tens digit of g(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 6. Let t = -28 - -33. Suppose -n + 5 - 76 = -5*d, t*n = -2*d + 23. Let u be x(d). Calculate the greatest common factor of u and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 198.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-620)\/(-279))\/((-4)\/(-18)) - 6. Solve -3 + 23 = h*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:51 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15150 is divided by 1147?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -17 - 9)\/(-1 + 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37352 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 99*t - 7 = 103*t, -23*f + 25 = -2*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 37838647.1 + -0.9\nAnswer: 37838646.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*s + 30 = 82*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 + -4 - (3 - 10)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.041 and -2412?\nAnswer: -98.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53280 and 504495.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24234246 by -8078082.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)\/f)\/(f**0*f))\/(f\/f**(-13))**(-3) assuming f is positive.\nAnswer: f**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (-65 - -15) - -7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.20703 times -0.2?\nAnswer: 0.241406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -192957698 + -143642?\nAnswer: -193101340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 950.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 13*t**2 + 5*t + 69. Let z be b(-13). Let q be 4 + (-68)\/16 - (-41)\/z. Solve -s = -7 + q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = 51. Let l = 1050 + -898. Calculate the remainder when l is divided by j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155202 (base 8) to base 11.\nAnswer: -39033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r - 59. Let o(l) = 11*l - 178. Calculate -8*a(g) + 3*o(g).\nAnswer: g - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5 + 7. Let m be (10\/k)\/((-10)\/20). Suppose -3*a - u + 3326 = 0, 0*u = 3*a + m*u - 3322. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2\/8 + 1179*y\/8 = 0. Calculate y.\nAnswer: 0, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.8, -2\/95, -9, -0.4 in decreasing order.\nAnswer: 3.8, -2\/95, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/60 + p**2. Let a(j) = 4*j. Let s(l) = -5*l. Let x(u) = 6*a(u) + 5*s(u). Give v(x(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(704) + 1)*-2 - (-1 + 1*sqrt(704) + sqrt(704) + sqrt(704))) + 5*5*-4*sqrt(33)\/sqrt(12))**2.\nAnswer: -360*sqrt(11) + 89104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006202 rounded to seven decimal places?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*28\/(-98) - (-18)\/14. Let a(p) = -18*p**3 + 2*p**2 + 6*p + 3. Let c(m) = -53*m**3 + 5*m**2 + 17*m + 8. Let t(x) = 11*a(x) - 4*c(x). Give t(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**4 + 18*w**3 - 9*w**2 + 12*w + 6. Let k(a) = a**4 + a**3 + a**2 + a + 1. Let i(p) = -j(p) + 6*k(p). What is b in i(b) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, 0.1, -5.9, 0, 3 in increasing order.\nAnswer: -5.9, 0, 0.1, 1.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 times 1?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5908.225 litres in millilitres?\nAnswer: 5908225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7025049973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*r - 17 = 0, -4*x = -r - 4 - 5. Let z be 180\/40 + x\/2. What is the greatest common divisor of z and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*w + 2773 = 0, 5*r - 3447 = 5*w - 682. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -644655061+25\nAnswer: -644655036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5298, -5323, -5366, -5427, -5506, -5603, -5718?\n\"Answer: -9*h**2 + 2*h - 5291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -63. Let j = c - -1. Which is greater: j or 3\/44?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4179344662 and 4022.\nAnswer: 4022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(sqrt(468) + 1 + -5 + 4 - (-1 + -3 + sqrt(468) + 2 + sqrt(468))))**2.\nAnswer: -96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 2181, -3, -2\/7, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -11. Which is the nearest to -1? (a) l (b) -2\/7 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 - 237*p - 7933. Let d be (-10)\/15*(4 + 2). Let z(v) = 6*v**2 + 240*v + 7934. Let i(m) = d*s(m) - 5*z(m). Determine o, given that i(o) = 0.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {q: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(50)\/(sqrt(70)\/sqrt(7)) + sqrt(5)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -24*y**2. Let u(x) be the first derivative of -5*x**4\/24 + 17*x**2 - 54. Let w(c) be the second derivative of u(c). What is b(w(i))?\nAnswer: -600*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2\/2 + 422*u + 18883\/2 = 0.\nAnswer: -821, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2178*u - 1089*u - 78 - 1088*u)*(-7*u + 8*u + 8*u) as c*u**2 + g + i*u and give i.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 2844038*n. Let q(g) = -12*g. Calculate t(q(l)).\nAnswer: 144*l**2 + 34128456*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 9*g + 9. Give d(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f**3 + 4*f**2 + 7. Let w(n) = -12*n**2 + 3*n. Let l(u) = 7*u**3 + 53*u**2 - 12*u + 6. Let h(b) = l(b) + 4*w(b). Calculate 6*d(z) - 7*h(z).\nAnswer: -z**3 - 11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 6) to base 7\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 4*w + 7. Let a be h(-5). Suppose 0 = 2*y + f - 11, 3*f - a - 1 = -y. Find the second derivative of -y*x + 2*x + x**5 + x**5 wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 1062*z - 1067*z + 208, -z = -2 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -194883, -779534, -1753955, -3118146, -4872107, -7015838, -9549339?\n\"Answer: -194885*a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 1 - y + 3*y - 4*y + 6*y**2 - 10*y**2. Suppose -3*j + 0 - 9 = -3*u, 3*u - 7 = 2*j. What is w(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.043 < -237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/8)\/((-4)\/16). Suppose 7*y = 2*y - 25, 3*f - 28 = x*y. Let s(u) = u**3 + 2*u**2 - 2*u + 1. Let a be s(f). Put a, -2, 3 in decreasing order.\nAnswer: 3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 - (-2 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*-6 + sqrt(171) + sqrt(171) + sqrt(171)*2*6)\/(1*sqrt(1089) + 6*sqrt(144)).\nAnswer: 2*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + 378*d + 396. Let t be j(127). Let z(o) = -7*o + 57. Calculate z(t).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-11 + 6)) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*d + 4*q, 5*q - 14 - 6 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-68)\/(-4) + (-1 - 0). Calculate the common denominator of 139\/18 and (139\/p)\/(-1) + 3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -18. Suppose 2*x - 4*x + 28 = b. Let g = x - 12. Solve o - 4 = -4*p + 12, g*o + 3 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -580?\nAnswer: 3\/580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 3*d**2 + 0*d**2)*(-6*d + 3*d + d) - 4*d**3 + 3*d**3 + 2*d**3 + (-2*d**2 + 2*d**2 - d**2)*(-2 + 2 - 2*d) + 4*d + 8*d**3 - 4*d.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:49 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -49.043. Let x = n - 0.016. Let i = -0.0492 - x. Round i to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (-33)\/(-3) - (-3 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5\/2 - 9003*o**4\/2 + 10771200*o**3 - 2831515648*o**2 = 0.\nAnswer: 0, 299, 4352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3621753, 3621758, 3621763?\n\"Answer: 5*m + 3621748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7572 times -72.321\nAnswer: -547614.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499842 is divided by 259.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -104368 greater than or equal to 10.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -42421?\nAnswer: -42421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5530\/(-474) + -1*(3 - 14). Let p(m) = m**2 - 8*m - 5. Let n be p(9). What is the nearest to 12 in n, j, -1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*h + 743, 5*h - 1245 = -18*i + 13*i. Let o = h - 245. Solve o*q - 5*q - 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*u + 83*u = -193*u + 85392. What is the least common multiple of u and 408?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22113, -22124, -22135?\nAnswer: -22146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p**2 - 4*p + 9. Suppose k = 5*s - 2*k - 20, k = -2*s + 8. Let f be u(s). Let q = -52 - f. Solve -6 + q = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5*a = 9*a + 19, -3*r = -a - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**2 + 6 - 6)*(-22 - 12 + 1 + 11).\nAnswer: 154*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0997026 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-76)\/(-95))\/(-2 - (-27)\/15). Let w be ((-2)\/u)\/((-14)\/192360). What is w rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsj when three letters picked without replacement from vdsjvfg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - b = 22, -v - 625 + 636 = -b for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47641\/2 or -23821?\nAnswer: -47641\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -10 + -6 + -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juuuqvurujqqxqu. Give prob of picking 2 u, 1 q, and 1 j.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-50) + (-44)\/10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 14*k + 21. Determine l(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**5\/20 + t**4\/2 - t**3\/2 - 5*t**2\/2 - 2*t - 65. Let z be -3 + -3 + (2 - 0). Is x(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1. Let z = -6 + 8. Let c(x) = x**3 - 1. Let j(a) = z*c(a) - 5*g(a). What is the first derivative of j(o) wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13\/((-260)\/(-30)) - 3)\/(1\/(-1436))?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 3*f + 21 = 23*g, 5*g - 4*f + 33 = 0. Let n = -6 - -4. Let l = n + 1. Which is the nearest to l? (a) g (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -19*j - 574. Let b(z) = 7*z + 191. Determine 8*b(y) + 3*h(y).\nAnswer: -y - 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274693 is divided by 61.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -39*f - 19. What is the tens digit of h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/56*(-132)\/(-33) + 2632\/392\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 3976?\nAnswer: 397b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 6*k**2 + 4*k - 7. Let f(u) = -u**3 - 10*u**2 - 10*u - 12. Let x be f(-9). Let a be t(x). Suppose -a*d - 2 = -6*d. Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4901071 times 0.2?\nAnswer: 980214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1380\/(-230)*(-1)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10984 is divided by 10944.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -9.1. Suppose 0 = 6*n - 0 - 0. What is the nearest to h in n, -2\/9, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1.4. Let z(f) = -8*f**3 - 2*f - 2. Let i be z(-1). Let w be (-180)\/(-42) - i\/2. Which is the second smallest value? (a) w (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5217601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaanfnunnnnna. Give prob of picking 2 n and 1 u.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -307, -1191, -2655, -4699?\n\"Answer: -290*m**2 - 14*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -1666892?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npnn when four letters picked without replacement from {p: 7, n: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4 - 134\/(-4). Suppose 12*m = 8*m + 140. Suppose q + 4*q = m. Calculate the greatest common divisor of q and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 481, 1107, 1983, 3109, 4485?\nAnswer: 6111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**7\/210 + z**5\/5 - 17*z**2. What is the third derivative of a(d) wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 2)*1 - 3. Let i = 3 - t. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5475188 to 4 decimal places.\nAnswer: 0.5475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*((sqrt(114) - sqrt(114)*-1) + sqrt(114)) + 4*sqrt(114)*2))\/((sqrt(600) - 6*-2*sqrt(600)) + 1*sqrt(600)*6))**2.\nAnswer: 1089\/475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 97205.21nm?\nAnswer: 0.09720521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -260*-950\nAnswer: 247000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/120 and -26\/75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 29. Suppose 7 = 5*f + n. Let u(h) = 13*h**2 + h. Calculate u(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -o - 85. Suppose -y - t - o = -2*y, t = 2*y - 562. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -120102111?\nAnswer: -120102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 158*w**2 + 1358*w - 1518.\nAnswer: 2*(w - 1)*(w + 11)*(w + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2 + 104*z - 1344 = 0.\nAnswer: 24, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15975989 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*z + 7*z - 5, -2*a - 4 = 2*z. Suppose 1373 = 4*o - h, -a*o - 12*h + 1006 = -8*h. What is the highest common divisor of 38 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1 + -7 - -2. Let t = 0 - n. Let d = t - 2. Calculate the highest common divisor of 18 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, q: 1, y: 1, r: 5, b: 5, m: 3}. What is prob of picking 2 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, j: 1, l: 1, w: 4, v: 1}. Give prob of picking 4 w.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1671*l**4 - 4159 wrt l.\nAnswer: -6684*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 65*a - 25. Let k(f) = 33*f - 12. Let u(v) = -2*j(v) + 5*k(v). Let q be u(-18). Solve 2*s - 4*s + q = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -806119 (base 10) to base 2\nAnswer: -11000100110011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s + 1. Let l(r) = -r. Let m be l(-2). Suppose m*b + 6 = -0*b. Calculate i(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40906 + -165?\nAnswer: 40741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -638, -2223, -5304, -10379?\nAnswer: -17946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(15\/3 - (7 - (-135)\/(-65)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 plus -1.2376053703?\nAnswer: -1.2176053703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4916, 8173, 11426, 14675, 17920?\n\"Answer: -2*t**2 + 3263*t + 1655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 98102 = -3*w, -31*x + 34*x - 3*w = 73545. What is the ten thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 13*b + 6. Let f be i(-7). Let x = f + -31. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17738 is divided by 99.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 243*w**3 - w**2 - 2*w - 13105.\nAnswer: 729*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -405 - -408. Let h(p) = -p**3 - 4*p**2 + p - 1. Calculate the remainder when h(-5) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n + 36001 - 114646 = 0. Does 90 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*a - 80, d + 2*a + 9 = -15. Let y = d + 38. Calculate the remainder when 15 is divided by y\/(-1 + (-25)\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -43\/66977700?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1*-2*1\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.379 * 7278\nAnswer: 10036.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(7) + 1 - sqrt(7))**2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/3 - 14362*i**4\/3 - 22905780*i**3 - 109351580600*i**2\/3 + 879217912000*i\/3.\nAnswer: -i*(i - 8)*(i + 4790)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.5153035 weeks?\nAnswer: 3.6071245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11316\/287*301\/172.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(19) + 6*(sqrt(171))**2)*-1 + -1)*1.\nAnswer: -1031 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + l - 41 = -15, -4*d = 2*l - 38. Suppose d*j - 3*j - 20 = 0. Is 21 a factor of ((-14)\/j)\/(2\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299129041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9064691km?\nAnswer: 906469.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -63561.\nAnswer: -1\/63561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.4, 7642, 2589?\nAnswer: 2589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 5*f + 3. Let l be z(5). Suppose 36 = 3*t + 3*j, t + l*t - 69 = 3*j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954209 is divided by 477043.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4 + 24294*h**3 - 49256031*h**2 + 294880572*h - 441993132 = 0.\nAnswer: 3, 4046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**2 + 4 + c**3 + 7 - 4. Let x(b) = 17 - 10 - 54*b + 3*b**2 - 6 + 5. Let h be x(18). Give d(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 880 + 10082. Is 189 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10611*x**2. Let v(r) = -3*r. Calculate v(i(q)).\nAnswer: -31833*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148.2 + -148. What is the fourth biggest value in -4, -3, 2\/3, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(-2 + (((sqrt(832) - sqrt(832)*2) + -1)**2 - 1*2*sqrt(832))).\nAnswer: -4983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365613033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microsecond in nanoseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 6:29 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -4.8\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.94 + 0.36. Let m = v + -2. Which is smaller: -4 or m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150556 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + (sqrt(76) - ((sqrt(76) - (sqrt(76) - (sqrt(76) - sqrt(76)*1*-3))) + sqrt(76))))*-2)\/(((-3*sqrt(8))\/sqrt(2) + sqrt(4))*-4).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -23 (b) -180 (c) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292144606?\nAnswer: 2, 13, 11236331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -10577457?\nAnswer: -10577447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 2*s + 7 - 5)*(-3 + 2*s**2 + 3).\nAnswer: 4*s**3 + 44*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - -4221?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72498.08 millennia to months.\nAnswer: 869976960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-165)\/(-110)*(-8)\/6. Let a be (-34)\/6 - (y - 3). Sort a, -1\/3, 4, 2.\nAnswer: a, -1\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96*0.1\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 469507395 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 6:02 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28, -4, 1 in descending order.\nAnswer: 1, 0, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*q - 47*q - 314*q + 161 - 12*q.\nAnswer: -499*q + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 - 6739500*h**3 + 13479012*h**2 - 6739508*h.\nAnswer: -4*h*(h - 1)**2*(h + 1684877)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (3 - 2)*-2. Let m be k + (-6)\/(-2) - -4. Let b = 0 - -7. Solve -m*c + b = -9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j - 4. Let m be r(-4). Suppose 0 = -m*o + 14*o + 168. Suppose 12 = 5*v - 8. What is the remainder when o is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-1)*9\/60)\/((-8)\/((-1920)\/(-56)))\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134068665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 11531739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (0 + -5 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/3153? (a) -2 (b) 2 (c) -0.2 (d) 1\/39 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27.024975 months?\nAnswer: 2.25208125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99671372 to the power of 1\/3, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -128 in 0.1, -1\/3, 9, -0.1, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 7*x. Give q(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 248405 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1*2\/1). Suppose a = 5*p - 9 - 1. Is -2 - 111\/((-6)\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 1 - (-58)\/(-68). Let q = c - 93\/170. What is the second smallest value in q, -2, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125509803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71952988 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 4, k: 4, l: 2, e: 5}. Give prob of sequence lo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77868.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800\/9900 - (124\/198 - 1)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -479*p + 21. Let r be j(-10). Let t = r + -3138. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -24*p**3 + 4*p**2 - 6*p + 7. Let f be o(2). Let q = f - -180. Is q >= 1\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3587*n + 0 - 1 - 89*n.\nAnswer: 3498*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463946.\nAnswer: 2, 7, 31, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 5\/2 (c) 0.01 (d) 4\/5 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75465778 or 679192000\/9?\nAnswer: 75465778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 6. What is the least common multiple of m(6) and (-136)\/17 + (-16)\/(80\/(-45))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-108))\/(3\/132).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - -12)*7 - 7. Suppose 21 + 15 = u. Suppose y = -5*b + 544 + u. Is 29 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3415421 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 6265*t + 12528.\nAnswer: (t + 2)*(t + 12528)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104055793.\nAnswer: 17, 6120929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*s = 15, 5*a + 5*s + 14 = 2*a. Let c be 117\/(-104) - 3\/(-24). Put c, 0, a in descending order.\nAnswer: 0, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5811203 + -3?\nAnswer: -5811206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1021.\nAnswer: 2\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9443?\nAnswer: 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784971?\nAnswer: 151, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**6\/60 + u**3\/3 + u**2\/2 + 3. Let n(i) be the second derivative of a(i). Find the first derivative of n(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 6*w**2 - w - 4. Let d be k(-6). Suppose -d*q + 235 = j, 2*q - j = j + 250. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 3 - 2 + 2*g**3 - g + 0 as m*g**3 + v + j*g**2 + f*g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u + u - 3*u + 2*u**2 + (-3*u - u + 2*u)*(4*u + 0*u + 2*u) - 2 + u**2 + 2.\nAnswer: -9*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 2:57 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2)*2\/286. Let z(i) = -12*i + 154. Let m be z(12). Suppose 12 = 7*o - 4*o + 3*d, 0 = 5*o + 3*d - m. Is b at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6496 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + h - 7. Let z(k) = -3*k**2 + k - 6. Suppose 10 = 4*p + 2. Suppose 10 = -2*x - p. Let s(u) = x*g(u) + 7*z(u). Calculate s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*r + 6, -3*h + 5*r - 28 = -0*r. Let l be (-4)\/14 - (-1592)\/(-14). Is 19 a factor of (l\/(-4))\/(h\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = -11. Suppose 4*c - 5*c - 36 = -q*m, 0 = m + 3*c - 11. What is the remainder when 49 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3152 is divided by 1567?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.004 and -0.1.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -50, -128, -278, -524?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1)*(-2)\/(-4). Let y = 1 + a. Are 0.1 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 23*a**2 - 162*a + 2030. Determine n(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 618804601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-9))\/((46\/(-36))\/23). Let k(r) be the first derivative of -r**o + 0*r - 2 - 4\/3*r**3 + 4\/5*r**5 + 2\/3*r**6 + 0*r**2. Suppose k(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 8*v**2 - 2*v + 17. Let i be 32\/12*1*3\/2. Suppose 3*g = -4*d + 47, i*d - 4*g + 4 - 16 = 0. What is h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 - -98. Solve -n*d + 12 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9471)\/656)\/231)\/((-4)\/192 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:46 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13589977885 + 0.1.\nAnswer: -13589977884.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -325 (base 7) to base 4.\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(2\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + (-56)\/(-6))*(-7)\/14*36\/8?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4234215?\nAnswer: 3, 5, 282281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*(sqrt(720) + 0)**2 + -4 - (sqrt(720) + (sqrt(720) - (0 + sqrt(720))*6))*1))*-2.\nAnswer: -5742 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62303160 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 15, 120*s + 3*a = 116*s + 34003. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 102120110011?\nAnswer: -102120110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -3*n - 4*u, 0 = -88682*n + 88684*n - 19*u - 257 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 3939)*(-2)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:16 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -58. Let l be 18*((-20)\/t + 6\/27). Suppose 25*j = l*j + 3. Solve j*q = -q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, 73187 in increasing order.\nAnswer: -18, 4, 73187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98615?\nAnswer: 5, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*w + 5*l, -l - 5 - 16 = -4*w. Let o = w - -62. Let v = o + 18. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1140 + -973. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 105\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 + 6*q**2 + 5*q - 2. Let j(m) = -2*m**3 + 5*m**2 + 5*m - 1. Let n(p) = -4*j(p) + 3*t(p). Let b = 642 + -645. Determine n(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 621282*y + 191689695.\nAnswer: 3*(y - 206785)*(y - 309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1685, 3405, 5125?\nAnswer: 6845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -6. Let y(o) = -o**3 - 6*o**2 - 3. Calculate y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(-1\/13) assuming n is positive.\nAnswer: n**(2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2 (c) -10583.8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*p = 47611, 15*p + 47597 = 3*k + 17*p. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193900000 to the nearest one million.\nAnswer: 194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/2 + 13206*p + 32606145\/2.\nAnswer: 3*(p + 1485)*(p + 7319)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -42*k**3 + 11*k**2 - 11*k - 3. Let n(m) = -21*m**3 + 6*m**2 - 6*m - 1. What is 6*c(a) - 11*n(a)?\nAnswer: -21*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14522998 is divided by 17106.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - z - 98. Suppose 0*r = 4*r - 4*u - 16, -3*r + 4*u + 16 = 0. Let x be n(r). What is the units digit of x\/(-6) + 5\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0.11.\nAnswer: -4.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-12) - 0)*-9. Factor -p + 19*h - 14*h - 17*h - 3*h**2.\nAnswer: -3*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2884234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 39. Suppose 4*z - 1 - z**5 + z**4 + 11*z**2 - 5 + u*z**3 + 6 = 0. Calculate z.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 2*c + 0*c)*(-2 - 1 - 2) + 4*c + 0*c - 3*c + 4*c - 5*c + 3*c - 43*c + 34*c + 37*c as j*c + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 5*i**3 + 9*i**3 - 7*i**3 + (-6*i**3 + 4*i**3 + 0*i**3)*(2 + 2 - 5).\nAnswer: 9*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-2) - (-4 - 3). Find l such that 20*l**3 + 42*l + 11*l**4 - 54 + 66*l - 14*l**2 - 13*l**p - 58*l**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/184 and -53\/120.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 7:42 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*2 + (-34 - -33). Let d be 1 + -1 - (1 - 79). Find b, given that 30*b**4 - 72*b**3 - 36*b + 82*b**5 + 65*b**2 - 169*b**2 - 4 + d*b**4 + 26*b**r = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -240049709*z**2 + 74554834.\nAnswer: -480099418*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -14737 >= -427375\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*n + n**2 - 206*n + 2 + n**2 in the form l*n**2 + j + m*n and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1429 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 52. Solve 2*v = -f + 10, -f + 0*v - 4*v = -t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 7:25 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -39*o**3 + 5*o**2 - 68*o - 423. What are the prime factors of c(-7)?\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160113.1837 + -160121. Let t = g - 0.5347. Let s = t + 8.3. Round s to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 5*a - z + 77, 0 = -5*a + 4*z + 158. Suppose 20*m + 12 = 24*m. Put m, a, -2 in decreasing order.\nAnswer: a, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(6\/11))**(-28)*d**(-2\/7)\/(d\/d**5*d*d*d) assuming d is positive.\nAnswer: d**(-3277\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5736 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100111 (base 2) to base 8.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 24502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95517?\nAnswer: 3, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most 1364\/225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2 + 337*w**2 - w**3 + 1 - 170*w**2 - 162*w**2. Suppose 3*l - 21 = -6. Calculate h(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + z = -8*d - 16, -z = 4*d - 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 29541 and 29539 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {g: 3, w: 1, n: 3, s: 3, l: 6, m: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 1. Let c(g) = 3*g**4 - 4*g**2 + 5. Let m(j) = 3*c(j) + 15*f(j). Find the third derivative of m(n) wrt n.\nAnswer: 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -90*y - 6*y + 39*y. Let j(u) = -9*u. Determine j(d(v)).\nAnswer: 513*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3521 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*d + 2. Let w = -1 + d. Let y = 2 - w. What is the remainder when 5 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:54 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21.5 and 169541254.\nAnswer: 169541275.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20011919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 2*t**2 - 11*t + 3. Let s(q) = -2*q**3 - 3*q**2 + 12*q - 4. What is 3*s(y) + 4*v(y)?\nAnswer: 2*y**3 - y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 4*n + 5. Let v be (-6)\/2 + 2 - -3. Give g(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + t**2 - 12. Let x be z(0). Let a(g) = -3 - 4 - 7*g + 11 + 197916*g**2 + 8. Let q be a(x). What is q rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 7*b**4\/2 + 4*b**2 - 9. Find the second derivative of h(p) wrt p.\nAnswer: 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1737*r - 7712 + 1637 + 75555 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 1\/2 (c) 19 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 23 - 39. Let f be (9\/c)\/((-24)\/64). What is the greatest common factor of f and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 928435300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 - 15f8?\nAnswer: -1619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 5860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4380.983 litres to millilitres.\nAnswer: 4380983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hitchicchtcc. Give prob of sequence tchi.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 1:56 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p - 18 - 31 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 674 = 30*f - 29*f, 2*f = 16. Calculate the least common multiple of l and 10.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 + 44*c**4 + 66*c**2 - 31*c - 4929.\nAnswer: 20*c**3 + 528*c**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w. Suppose -i - z = 0, z + 8 = 3*i - w*z. Let o(n) = -1 - 2*n**i + 11 + 3 - 10*n - 1. Let a(s) = -s + 1. Give 10*a(c) - o(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((6 - 26) + (111 - 82))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15154473 is divided by 15154463?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21350\/175*(2 + -54702). What is b rounded to the nearest 100000?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 123*r**5 - 4*r**2 - 138*r**5)*(2 - 2 + 2).\nAnswer: -30*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(19) + (sqrt(19) - (sqrt(171) + 2*sqrt(171) - sqrt(171))\/sqrt(9)))**2 + sqrt(114)\/(-3*sqrt(6)*-4))*-6.\nAnswer: -sqrt(19)\/2 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = f + 6. Let y = 7 - f. Solve -y*t = -v - 15, -v = 4*t - 5*v + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + 0 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (370 - 497 - 832)*(2*v - 2*v + 2*v**3) + 3*v - 2*v**3 - 3*v.\nAnswer: -1920*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234 - 11. Let o(d) = -6*d**2 + 20*d + 89. Let l be o(-4). Let g = k + l. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/497)\/(35659\/(-1183) - -30)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -358*x**3\/3 - 117*x**2\/2 + x - 206. What is the derivative of l(y) wrt y?\nAnswer: -716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39908879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-34)\/10 + 1)\/((-3)\/45). Let y = r - 40. Let s be (2\/y)\/(1\/(-6)). Solve 4*g + 16 = 5*k, 5*g - s*g + 8 = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/5*r**2 + 2\/5 - 3\/5*r = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5986 or 5969?\nAnswer: 5986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3530 + -3530. Is d > -6\/709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -80*g - 9342. Let r be k(-117). Solve 125 - 107 = r*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 104*q + 223. Let v be p(7). Suppose 0 = -v*o + 960*o - 108. Suppose -t = -2*c + 11, -5*c - 1 = -3*t - 26. Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1868*y**3 + 506*y**3 - 847*y**3 + 954*y**3 + 1071*y**3.\nAnswer: 3552*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(3\/2)\/v))\/(v**(-3\/2)*v)*(v**(-2\/3))**(-4\/7) assuming v is positive.\nAnswer: v**(29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4639050 divided by -51545?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 2177229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h - 38*h + 90 + 4*h. What is the units digit of f(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 29*b**2 - 2*b - 2. Let t be s(-2). Let m = t + -81. Suppose 0 = -2*i - 3 + m. What is the remainder when 32 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/3 - 266*r**2\/9 - 20*r = 0. Calculate r.\nAnswer: -2\/3, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 10*g + 15. Give u(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 2*v + 3. Let r be x(-4). Let w(g) = g**3 + 5*g**2 - 2*g - 5. What is the units digit of w(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 1 = -16*n. Is n equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -346\/11 + 46732\/1485. Let j = 388\/135 + x. Let r = -8\/3 + j. What is the biggest value in -0.2, -3, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13755 and 55.\nAnswer: 151305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 438283 to the power of 1\/2, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = 5*g - 23, 3*i - 6 = 0. Let n(z) = z. What is the remainder when g is divided by n(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 58 (b) -6 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*u + 5 - 2, -4*u - 24 = -4*h. Let m be (-6)\/h + (1 - -7). Calculate the highest common divisor of 48 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25021 and 9550?\nAnswer: 34571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*p + 8*p + 10, 4*g - 37 = 5*p. Let o(y) = -7 - 3*y**3 - g*y**2 - 12*y + 2*y**3 - 5*y**2. Is o(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/24 + (-30850)\/(-400). What is the highest common factor of 1898 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:40 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*28\/210*3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 1. Let a = 3 - 0. What is the closest to -0.1 in y, -2, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -290424 (base 15) to base 5.\nAnswer: -1001202214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from kdeqi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258105 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*y + 11, -3*y + 12 = -5*l - 17. Let h(m) = m**3 + 4*m**2 - 3*m - 9. Let o be h(l). Calculate the least common multiple of 1\/(o\/33*1) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 32. Suppose -16 = -2*d - 3*j, -j = -5*d + j + x. Suppose -3*c + 3*w = -12, 0*c + 2*c - d*w = -7. Calculate the highest common divisor of 99 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807625 smaller than 18575383\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -198*2*1*((-49)\/(-63))\/(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47107027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2)\/((-2)\/(-1)). Suppose -2*w = 2*w. Let l = x + w. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36561 is divided by 1013?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (sqrt(1377) + 5*sqrt(1377))) + 3)**2 + -1.\nAnswer: -270*sqrt(17) + 34433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1430855 divided by 286171\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1 + 36\/(-3). Let z = r - -9. Let t be 3\/18*(3 + z). Which is the biggest value? (a) t (b) -3 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 7, y: 5}. Give prob of sequence yyzy.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w + 12*w - 11*w - 1. Let c be k(1). Factor 0 + 0 - c*m**4 - 8*m**2 - 20*m**3 + 6*m**4.\nAnswer: -4*m**2*(m + 2)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -2*r**3\/3 - 742*r. Let w(g) = 16*g - 1. Give t(w(y)).\nAnswer: -64*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 106 + 36 + 30 - 4*p**2 - 5*p.\nAnswer: -4*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4191 and 109474?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -506\/45 - -94\/9. Let p = -4758\/17 + 280. Which is the closest to -1\/3? (a) t (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 339 = s + 3*b, -3*s + 5*b + 511 = 0. Let v = s + -159. Solve -8 = 3*r + 3*u + 7, 0 = -v*r - 4*u - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 2*u**2 - u. Give k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*z - 17*z - 14784. Suppose 0 = -16*k - 26*k + z. Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from {z: 1, q: 3, n: 1, m: 1, k: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/14)\/((-9)\/42))\/(1\/1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -540771, -2163107, -4867005, -8652465?\nAnswer: -13519487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 3*n**2\/2 - 15*n + 20. Let t be u(5). Solve t = -2*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22ba - 66?\nAnswer: -2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28026*a - 26515*a + 56305*a to the form t*a + f and give t.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 9 = m, -5*m - 28 + 1 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 20. Let c be 5 + (-12 - -3) - (-10)\/(-2). What is p(c)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 4, c: 14}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15784 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3203?\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1644 - 113*o**3 - 1644)*((0*o + o - 2*o)*(1 + 2 - 2) + (2*o + o - o)*(0 + 0 - 2)) to c*o**3 + j + f*o**2 + m*o**4 + s*o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2820 and 6345?\nAnswer: 25380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3435429g in tonnes?\nAnswer: 0.0000003435429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12 - 88\/32.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 2 = 5. Let n(f) = -55*f**3 - f - 1. What are the prime factors of n(v)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2\/73, -4\/9, 3 in ascending order.\nAnswer: -4\/9, -2\/73, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967*k + 888*k + 84376 = -89994 for k.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366809 is divided by 1132?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-30)\/n)\/(n\/n**(-9)))\/((n\/(n\/(n*n**(-1\/42))))\/n**14))**(2\/95) assuming n is positive.\nAnswer: n**(-235\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -33, -79, -129, -177, -217, -243, -249?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2*d**2 - 4*d**2 - d**2).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtttwtwkywww. Give prob of sequence wk.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 + 0 + (-1 - -1). Suppose 6*d + 22 = 17*d. What is the remainder when d is divided by 10\/u - (-4)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29\/357 + -14785\/212772. Is -1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (-1 - 49)\/(-5 + 3). Suppose -2*u - d = -30. Suppose 3*t - 8 + 2 = 0. Solve -2*i = 5*p + u, -5 - 3 = 2*p + t*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + (-8 - (-4 + 4))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 24 - 16*q)*(2*q - q - 2 + 2*q + 3*q - q + 2*q + (-2 + 2 - 2)*(-2*q + 1 - 1)).\nAnswer: -176*q**2 + 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*h**2 + 58*h**2 + 75*h**2 + 74*h**2 + 66*h**2 + 69*h**2 - 414*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 238\/4*2530\/3910 - 3\/(-6)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 290 + 26*c**2 - 7*c**2 - 4*c**3 + 4*c - 4*c**4 + 9*c**2 - 314 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 77.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 + -99. What is the remainder when u is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -258 + 370. Let q = -1404 - -1526.2. Let b = q - t. Round b to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 8*g**2 + 8*g - 9. Let q be f(-9). Suppose -5*h + 3*a + 85 = q, 75 = -h + 5*h - a. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 2, -120?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -16*v. Let o(a) = -2*a**2 - 6*a. Let f(q) = 4*q**2 + 15*q. Let k(h) = -4*f(h) - 10*o(h). What is y(k(z))?\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/117288 and -1\/13032.\nAnswer: 117288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*t**3 + 17*t**2 - 2.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111 (base 2) to base 14.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(42\/20) + -3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21626 - 21614. Let m(z) = 6*z - 69. What is m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -12*y + 80. Suppose -318 - 474 = -y*n. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b**5\/7 - 73889*b**4\/7 - 265481*b**3\/7 - 157938*b**2\/7 + 195012*b\/7 + 77976\/7 = 0. Calculate b.\nAnswer: -1083, -2, -6\/17, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.28852 millilitres in litres?\nAnswer: 0.02828852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + m**2 - m + 34. Let j(l) = l**2 + 4*l - 5. Let s be j(-5). Is r(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 132*o**2 + 390*o + 12. What is d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 249334 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -3, -5\/2, 2, 357249?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2, 3*s - 5*r - 60 + 46 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/(1892\/1221))\/(69\/184).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -228610 rounded to the nearest 1000?\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1701 divided by -4\nAnswer: -1701\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -3*f**4\/20 + 12*f**3\/5 - 72*f**2\/5 + 192*f\/5 + 1. Factor r(u).\nAnswer: -3*(u - 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 less than -22?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -30 + (0 - (2 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2033 + 21?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 8 = -3*j. Let t(m) = 5*m**2 + 6*m - 12. What is the least common multiple of j and t(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 1. Let j be y(-14). Let h be (-1)\/(-2) - 7\/(1 - j). Let f = 27991\/22 - 1273. Which is greater: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -36. What is the remainder when 18 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 50*q**2 + 135*q - 90.\nAnswer: 5*(q - 6)*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4\/5, 0.01, 0.15?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**(-12)\/n*n)))\/n)\/n*n**(9\/7) assuming n is positive.\nAnswer: n**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 8. Let z = u - 2. Let x(g) = g**2 - 2*g. Let q be x(z). Solve -6*h + 3*h + 9 = q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 97.5?\nAnswer: -68.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25431 + 25446. Solve 28 = -2*r + 4*o, -z*r + 17 = -18*r + o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -602, -4757, -16030, -37979, -74162?\n\"Answer: -593*r**3 - r**2 - r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**5 + 70*r**4 + 40*r**3 - 310*r**2 + 195*r = 0.\nAnswer: -13, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 27. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 1\/20*n**5 + 0 - 1\/3*n**4 + n**2 - 2\/3*n**3 - 14*n. Let l(m) = -m**3 + 5*m**2 + 5*m - 3. Determine -2*l(f) - 3*o(f).\nAnswer: -f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csshsxshkcsxsx. Give prob of picking 1 x, 1 k, and 2 c.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -22*r**2 - 772*r + 34887. Determine f(26).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - y = 7, 122423360*t - 5*y - 35 = 122423359*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppluzzopuuczo. Give prob of picking 1 o, 1 u, and 1 z.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11234*u + 9971 wrt u?\nAnswer: 11234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*3*3)\/sqrt(3))\/(-3*(sqrt(2) - (sqrt(192)\/sqrt(6) - sqrt(32)))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2, 9796, 2, -64, -5 in descending order.\nAnswer: 9796, 2, -2, -5, -25, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, 16, 41?\n\"Answer: 25*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1 = 4*r + 3, 2 = 5*r + 4*u. Suppose -d = -4*c - 529, 0*c = -d - r*c + 547. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5993 is divided by 1122.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3645 - 20211 = -502*u for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 6. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = -126*h + 127*h. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -51*y - y**2 - 24 + 47*y - y**3 + 13*y**2. Let i be z(11). Let f(g) = i*g**2 + 5 - 55*g**2 - 5. Let p(w) = -w**2 - 7*w. Calculate p(f(r)).\nAnswer: -4*r**4 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7472062*y**2 + 9587999.\nAnswer: -14944124*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 899010 and 10080?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 4:16 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 2*m**3 + 0 - 58*m**2 + 1\/15*m**6 - 1\/3*m**4 + 2\/105*m**7 + 0*m - 4\/15*m**5. Factor r(p).\nAnswer: 4*(p - 1)**2*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: c8d0 (base 15) to base 11\nAnswer: 29a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 74*a - 59*a + 35*a - 257*a + 42.\nAnswer: -355*a - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 169202 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 207*t - 1584960. List the prime factors of t.\nAnswer: 5, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -229, -420, -611?\n\"Answer: -191*j - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*(0 + sqrt(27)) - sqrt(1323)*2))**2.\nAnswer: 144*sqrt(3) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.787151 milligrams?\nAnswer: 0.000000001787151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(2 + sqrt(432)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Calculate the remainder when 4 is divided by 1\/(l + (-2)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1347364*l - 651774 with respect to l.\nAnswer: 1347364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Let z(y) = 4*y + 14. Let d(a) = 2*a + 6. Let h(r) = 5*d(r) - 2*z(r). Give -h(o) + 3*n(o).\nAnswer: o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 18*h**2 + 4. Let a be i(18). Let k be (a - 5)\/(2\/(12\/(-33))). Let t = 27 + -31. Sort -1\/5, k, t, 4 in decreasing order.\nAnswer: 4, k, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 2.05?\nAnswer: -10.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(sqrt(3) - (sqrt(3) + (sqrt(3) - (sqrt(30) - -2*sqrt(30))\/sqrt(10))))*5.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*-6*((-1 + sqrt(1053) + sqrt(1053))*3 + sqrt(1053)*1*-5) + -3)**2.\nAnswer: -7128*sqrt(13) + 152721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o + 6*o**3 + 7*o**2 + 5*o**2 - 5*o**3 - 8. Let u be t(-11). Solve 9 = 3*g + 5*i, -5*i + 0*i - 9 = -u*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 313*c**2 - 52*c - 57. What is p(-1)?\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b**3 + 2*b**2 - 3*b + 3. Let s(m) = -7*m**3 + 2*m**2 - 2*m + 2. Let j(o) = -3*s(o) + 2*u(o). What is the third derivative of j(t) wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 110 = 33*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1578*m**2 - 672*m**2 + 50*m**2 to v*m + r*m**2 + t and give r.\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/138, -425, -1\/2 in ascending order.\nAnswer: -425, -1\/2, 1\/138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, n: 4}. Give prob of sequence nn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/2792 - -1094449\/13960. Let h = -78 + o. Are 35 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 6:53 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4500533 (base 6) to base 16.\nAnswer: -371a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27017\/317 less than or equal to -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - w + 33. Let j be a(-6). Solve 0 = -j*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 + 237. Let f(v) = -2*v**2 - 4*v - 5. Let p(r) = -r + 1. Let q(w) = f(w) + 5*p(w). Let h be q(m). Solve l + h = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105738.\nAnswer: 2, 3, 17623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5446 - -5450. Solve -a*c - j + 2 = 0, -6 = -34*c + 30*c - 3*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20953.2 and -5?\nAnswer: 20948.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 8*i - 3*i. Let y = i - -1. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320634320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 4*k + 6. Suppose 4*h - 18 = -2*h. Suppose -h*l - 19 = 4*c, -3*c = 15*l - 12*l + 18. Determine y(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -2) + (-3)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/140)\/(6\/(-21)*(-14)\/(-24))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 3, 0.2, 4, 1\/6, -12752, -32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -225, -4\/3, 5, 0.0353?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 369317?\nAnswer: -369313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 2. Let c be r(1). Suppose c*v = -2*i + 31, -5*i - 1 = -2*v - 6. Solve 4*s + 12 = -5*n, s + v*n + 0 = -3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 12*s**2 - 12*s + 13. Let b be g(11). Solve 0 = 2*i + b*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 26 = -r, r + 2*r = l - 6. Suppose -4*g + 20 = l. Is (1052 + 9)*2\/4*g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8)\/((-1)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 10*a + 6. Solve a*d + 28 = -3*g + 7*d, 2*g + 28 = 5*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -22 + -5 + 0 + 3 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 417545 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(8\/(-3) + -2). Suppose 80 = -13*p + d*p. Calculate the common denominator of 20\/(-1)*(-25)\/p and 61\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmaazmqmq. What is prob of sequence zqa?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52724, -52753, -52794, -52847, -52912?\nAnswer: -52989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13283, -26768, -40467, -54386, -68531, -82908, -97523, -112382?\nAnswer: -127491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) 2 (b) 0.3 (c) 0.5 (d) 311\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 10) + -2 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -35, -17, -1\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.6. Let x = 3.8 - -0.2. Which is the closest to 3? (a) -0.1 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/120 - 2*i**5\/15 - i**4\/4 + 2*i**3\/3 + 7*i**2. What is q(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 + 25*f - 2. Let a(g) = -g - 558. Give y(a(c)).\nAnswer: 7*c**2 + 7787*c + 2165596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 52?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12322*n - 1441*n**2 + 12322*n)*(-5*n + 5*n + n) as x*n**2 + m + g*n**3 + u*n and give g.\nAnswer: -1441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((93 + 188 - 388)*(-8 + 7 - 5) + 1 + 0 + 1 + (2 + 1 - 1)*(-3 + 5 - 4) + 2 - 2 + 1)*(3*f + 0 - 5*f + 1) in the form o*f + c and give c.\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 18330 = -b, -g - 12*b + 4573 = -17*b. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 63927393 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/20 - 5*l**4\/12 - 8*l**2. Find the second derivative of y(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3392 - 2339. What is the highest common divisor of 81 and c?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/58))**(-2) assuming m is positive.\nAnswer: m**(-57\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27, -2, 5, -32, 86 in increasing order.\nAnswer: -32, -27, -5, -2, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248603300?\nAnswer: 2, 5, 43, 103, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141*n**3 + 2*n**2 + 91*n - 2 wrt n?\nAnswer: -846*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858\/715 + (-7)\/10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21122 - -110012120?\nAnswer: 110111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-547*o**2 + 98*o**2 - 461*o**2)*(-3*o + 2*o + 3*o).\nAnswer: -1820*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2795.09 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -73*i**2 - 18. Let v be n(-12). Let k = v + 421109\/40. Find the common denominator of -49\/40 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/162)\/((-51)\/27 + 2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6322418 is divided by 1333?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/3 - 14967448*z\/3 + 56006124908176\/3 = 0. What is z?\nAnswer: 7483724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -11, -17?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from uwugdaguawdgw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 22. Let u(q) = q**2 - 22*q - 2. Let d be u(g). Let z = -66 - d. Calculate the greatest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394315680.\nAnswer: 2, 5, 8714473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56646905489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 208255*d + 1665970. Give k(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 0.3, -21\/4, -115, 2\/93, -2\/55?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 16 = -4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*i**3 - 6*d**3*i**2 - 83*d**2*i**2 + 11*d*i**4 - 2*d*i**2 - 2*i**4 wrt i?\nAnswer: -12*d**3 + 264*d*i - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2997, 4579, 12155, 19731?\n\"Answer: 7576*b - 10573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 2*x + 18. Is m(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*q - 0*t + 769, 3*q = -4*t + 468. Suppose -15 = -2*v - v. Suppose -q + 26 = -2*y + s, -4*s - 315 = -v*y. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(396) + (sqrt(396) + 2 + 1*sqrt(396) + sqrt(396) - sqrt(396)) - (sqrt(396) + sqrt(396) + 5 + 2))*6)*1)**2.\nAnswer: -1872*sqrt(11) + 14932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*n**4 + 2892*n**3 - 6771*n**2 - 7122*n + 2520 = 0. Calculate n.\nAnswer: -140, -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96426512 divided by -13775216.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(304))\/sqrt(8))\/(sqrt(72) - (sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72)*5) - sqrt(72)))).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.22 - -0.72. What is the second biggest value in h, 0.4, -2, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118589?\nAnswer: 118589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19310, -38470, -57630, -76790, -95950, -115110?\n\"Answer: -19160*k - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 148 - 1377*j**2.\nAnswer: -1377*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -74, -78, -82?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5742125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1*(1 + 3 - 3). Factor 100*k**3 - 10*k**2 - 36*k**4 - 23*k**t - 15*k**2 - 16*k.\nAnswer: -4*k*(k - 2)*(k - 1)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30764837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140823*m**2 + 57871*m?\nAnswer: -281646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(591\/195 - 3). Let p be 4\/(-14) + y\/350. Is 0.1 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24022?\nAnswer: 2, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -79, -22, -2, -6 in ascending order.\nAnswer: -79, -22, -6, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(1\/9))*c\/((c**1*c)\/c)*c**(-1\/9)*c*c**(9\/5))**(-4\/17) assuming c is positive.\nAnswer: c**(-464\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049128 rounded to six dps?\nAnswer: 0.000491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1069.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0.3, 13 in descending order.\nAnswer: 13, 0.3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**3 - 25*m**2 - 2*m - 8. Let l(t) = -2*t**3 + 12*t**2 + t + 4. Let f(a) = -3*h(a) - 7*l(a). List the prime factors of f(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*w + 18*w + 28*w + 11*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -3*20\/(-12). Let a(x) = -900*x - 4. Let o be a(6). Let n be c\/(-27) + o\/18. Round n to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x + 3. Let q be r(-2). Solve -3*s + q + 0 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffbbfffffbffffffffb. What is prob of picking 2 b and 2 f?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 5:20 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bswbmvz. What is prob of sequence bz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/6*(-3252)\/2. Suppose -6345 = 3*a - 4*b + 32663, 4*b = a + g. What is a rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 3 - 7) + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 349\/7 - 3883\/63. Let b = 104\/9 + l. What is the biggest value in -1, 0.06, b?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 4, 3\/22, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (-3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -1.238.\nAnswer: -1.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/13 and 109\/1352?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 2*x + 25. Let p be b(7). Suppose -17 = -7*l + p. Calculate the highest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, d: 1, r: 3, b: 1, p: 4}. Give prob of sequence pdp.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/14)\/((-2)\/(-12)). Solve 0 = -2*h - h + u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**1*g*g*g))**31\/(g*(g*g*g*g*g\/g**(-4\/9))\/g*g**(-4\/9)) assuming g is positive.\nAnswer: g**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 11*o**3 - 12*o**3 + 28*o**3 - 11*o**3.\nAnswer: -6*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from gwegggegggcepgne.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1476328 smaller than -1476328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-14))\/(5 + (-72)\/14). Let p be (4 + q*1)\/(-2). Let i(v) = 6*v - 1. Calculate i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*i - 5. Let f be i\/(4 - 6)*5. What is the third derivative of -f*n**6 + n**6 - 4*n**2 + 8*n**2 wrt n?\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c258 (base 16) to base 9\nAnswer: -75220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1541\/5 + 308. Let a be (((-3)\/(-1))\/6)\/(-1). Let h = 40 + -24. What is the third smallest value in q, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6300*a - 22594 = 6274*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 12*f**2 - 11*f - 4. Let c be r(-11). What are the prime factors of (136\/(-16))\/(2\/c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + i - 4*i + 72*i**3.\nAnswer: 72*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2012, 3, 4 in increasing order.\nAnswer: -2012, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 722734.2 weeks?\nAnswer: 437109644160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 9. Let v be 4*(g\/6 - -2). Suppose v + 0 = i. Solve 0 = 3*w - u - 4*u - 2, 0 = 5*w - 3*u + i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 4. Let n be v(-4). Suppose -2*f + 4*f - 22 = n. Suppose -53 = -5*s + 4*x + f, 2*x + 2 = 0. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112\/123 - 10\/41. Sort 3, -2, u in ascending order.\nAnswer: -2, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -13*z**2 - z. Give a(-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 3*f**3 + 2*f**3 + (0 + 0 - 2*f**2)*(3*f + 3*f - 4*f) + f**3 - 2*f**3 - f**3 + (3 - 3 - f)*(-3*f**2 + f**2 + f**2).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 31500.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -9) + 89 + -56. Let n(i) = -59*i + 11. Let g be n(-8). What is the highest common factor of o and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129972556717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -450, -698, -988, -1338, -1766, -2290?\nAnswer: -2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8132*f**2*i + 141*f**2 + 5*f*i**2 + 2*f - 2*i**2 + 3*i + 217 wrt i.\nAnswer: 8132*f**2 + 10*f*i - 4*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4170 and 2820.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n + 1. List the prime factors of b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)*f*f*f*f**3*f**(-2\/7)*f*((f**4\/f)\/f)\/f*(f**(-3)*f\/f**(3\/2))**39 assuming f is positive.\nAnswer: f**(-1845\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -12. What is the smallest common multiple of z and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**3 + 2081*y**2 + 198020*y + 49375 = 0.\nAnswer: -395, -125, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.6 - -2.6. Let p = 14 + x. What is the closest to -3\/2 in 0.1, p, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 1061801524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*((-3)\/(-2) + 0). Let q(b) = 10*b. Let y be q(x). Calculate the common denominator of 125\/6 and (-299)\/y - 2\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 557 + -567. What is the third smallest value in -2\/27, x, -4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g**2 - 29*g - 129. Suppose 3*u - 5*x + 12 - 2 = 0, 2*u + 5*x = -15. Let q be p(u). What is q rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/831 in 2, -0.25, -2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*w - 129*w**5 - 5*w - 94 - 3*w**4 + 3*w**4 wrt w?\nAnswer: -2580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 3*j - 31. Suppose -3*q = 4*n - 50, 5*n - 9 = q - j. What is the lowest common multiple of 12 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 952*l**2 - 947*l**2 - 2*l**3 + 7*l**3 to x*l**2 + q*l**3 + g*l + a and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -37.1. Which is smaller: 23\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 12*k + 12. Let x be s(-11). Calculate the highest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 20*o - 15. What is a(-7)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2 + 9*p + 250. Let d(n) = 4*n**2 + 5*n + 124. Let z(q) = -5*d(q) + 3*l(q). What are the prime factors of z(-32)?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -94, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1961856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/101022838 and 50\/11.\nAnswer: 1111251218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -203*((10\/50)\/((-84)\/15))\/((-5)\/(-20))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3457 + -3457. Let u(a) be the third derivative of 0 + r*a + 0*a**3 + 1\/8*a**4 + 4*a**2. Let x(g) = 5*g**2. Give u(x(n)).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183 is divided by 52?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 3*h + 5. Suppose 2*f - 2 = -2*v - 0*v, -3*v = 0. Let u(c) = -11*c + 2*c + f + 2*c + 6*c - c**2. Give 3*u(j) - x(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2 = -1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3*o - 4 + 1, 5*o - a = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - x**2 - 2*x - 1. Let n be t(-1). Let k(w) = 5*w + 2. Determine k(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/13 - 4726*f**2\/13 - 3451150*f\/13 - 802096250\/13 = 0. What is f?\nAnswer: -1213, -575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122232164 divided by -7577.\nAnswer: -16132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 559 and -0.89619953323.\nAnswer: 558.10380046677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + 0. Let u be (-6)\/14*m\/(-30). Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -515.96 and -416?\nAnswer: 214639.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:59 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2111944037.\nAnswer: 7, 31, 101, 173, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 118, 169, 214, 253, 286?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 4*q + 3. Let w be x(2). Suppose -w*r + 228 = -3*h, -2*r = 4*h + 3*r + 313. Let m = 30 - h. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -523.1 - -501. Let o = x - -22. Let k = -3 + 2. Sort k, 1, o in increasing order.\nAnswer: k, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-1 - -1) + -1). Suppose -4*w + 2*w - 6 = 0, 21 = 3*m - f*w. Suppose 0 = -m*s - 3, 2*s + 2*s - 421 = -5*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -2*i - 4*a - 10, i = 4*a - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -50. Let m be (-18)\/12*(t + 2). Let p(f) = f**2 + 2*f - 4. Let d be p(-4). Which is the nearest to -2? (a) m (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/(6\/(-27)). Let y = 6 + -1. Suppose 1 = -4*l - w, -3*i + 26 = -y*l. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1001011100110111110?\nAnswer: 1001011100110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5))**(4\/19) assuming r is positive.\nAnswer: r**(-20\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-2 + (-156)\/(-40)). Let q = w + 43\/10. Which is the closest to q? (a) 4 (b) 0.3 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -7b9c?\nAnswer: 7b9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 0*r**2 + 2*r**4 + 0 + 18*r - 21\/20*r**5 - 1\/2*r**6 + 2*r**3. Find j, given that m(j) = 0.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*h + 3*b, -4*h - 3*b + 28 = -3*h. Suppose -5*q + 0*c - c = -91, h = q + c. Is (q\/6)\/(3\/26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*(-112)\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + -64 - (14 + -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*b - 135, -7 - 98 = -2*b - 5*r. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1623 + 1627. Suppose -3*j + 5*y = -16, y = -j + 6 + 2. Let s = -10 + j. Put k, s, -6 in descending order.\nAnswer: k, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15640\/11 - 1422. Put m, 0, 0.1, -316 in increasing order.\nAnswer: -316, m, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -244.\nAnswer: 2684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 563813293 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzwwwzzwwvwwzvzw. What is prob of sequence vw?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**4 - 288*g**3 + 1364*g**2 - 1608*g = 0?\nAnswer: 0, 2, 3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*g + 66 = 0, -3*p - 2*g + 5*g + 102 = 0. Which is smaller: 34 or p?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.586 to two decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (2 - 0)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**2*z**3 - 5*q**2*z - q**2 - 44*q with respect to z.\nAnswer: -9*q**2*z**2 - 5*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*q = 2*q, k = -2*q. Suppose k = u - 5*d - 13, 3*u - u - 46 = 5*d. Let c(z) = 2*z**2 - 7*z + 3. Calculate the remainder when u is divided by c(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.092nm in meters?\nAnswer: 0.000000613092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w + 24, 3*t - 41*w - 50*w + 90*w = -7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - 15) + 6 + -54.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 0, 1, 1\/2, -3\/61, -166\/9?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**4\/24 - v**3\/3 - 47*v**2 + 1. What is i(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 1. Let r = 11 + -9. Let a be n(r). Let s = 1 + a. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1167*l*o*v*y**2 - 3*l*o*y - 14344*l*v*y + l*v - 405*o*v*y**2 - 3*o*v - 2*o + v wrt y?\nAnswer: -2334*l*o*v - 810*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -433 + 245. Let r = -104 - q. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + h - 23 + 51)*(-2 + 6 - 2).\nAnswer: 2*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -3*u - 63, -66*u + 135*u - 13*x + 30 + 9 = 66*u + 8 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((240\/12)\/4)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:27 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/35)*b)\/(b*b**(-16)\/b)*((((((b\/(b\/b**7))\/b)\/b*b)\/b)\/b)\/b)**(14\/9))**(-5\/4) assuming b is positive.\nAnswer: b**(-2281\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 128 = -18. Suppose -4*i = -2*f - f - 963, -f = -5*i + 1201. What is the remainder when i is divided by 2*(-2)\/4*k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31147*k**2 + 6540*k**2 - 177*k**2 + 2164*k**2 + 17091*k**2.\nAnswer: 56765*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-15)*(-6)\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4803?\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 10*t - 8. Let f be p(11). Suppose 55 = 2*d + f*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.331 + 187.331. Let v = u + -187.0126. What is v rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q + 1. Give c(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:56 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_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 d(n) be the second derivative of -1805*n**4\/48 + 2375*n**3\/6 - 3125*n**2\/2 - 1414*n. Factor d(z).\nAnswer: -5*(19*z - 50)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 16 - 57 + 29 + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.2 + -2.2. Let y = -194880 + 30011195\/154. Let x = -27\/14 - y. Put x, t, -1 in descending order.\nAnswer: t, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/(-3 + (-1587)\/(-531)). Let g = -37 + u. What is the smallest common multiple of ((-1)\/2)\/(1\/(-12)) and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*17*(-36348)\/(-15844)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2008*z + 2. Let x be o(2). Is 8\/(-36) - x\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 + 179. Calculate the remainder when z is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5628 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 45.8\nAnswer: -1053.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -31.9. Sort -24, 2\/11, p.\nAnswer: -24, p, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w**2 + w + 5. Let q be c(0). Let p(m) = m**2 + m + 7. Calculate the remainder when (-55)\/(-10)*(q - 17)\/(-6) is divided by p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 83. Let r = i - -27. Which is bigger: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.2 - -25.4. Suppose -18 = -o + 3*o. Let b be (-7)\/o - (-4)\/(-4). What is the second biggest value in u, 6, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2\/7 (c) 1\/2 (d) 5 (e) -91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u - 1. Let m be c(-1). Let z be m\/(-4) + 1\/4. Solve 0 = -3*f - 12 - z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(2057) + -5 + sqrt(2057) - sqrt(2057)) + 4) + -2*(-3 + -4*sqrt(2057)))*-6 + -3)**2.\nAnswer: 19800*sqrt(17) + 301833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -652506200 to the nearest one million.\nAnswer: -653000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.81, 2614, -2\/19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-7)*((-45)\/20)\/(-9). Which is the third smallest value? (a) 6 (b) 16 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 100*q - 4. Calculate o(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u + 19*u + 16*u)*(309*u + u**3 + 18*u**3 - 333*u) to the form v + z*u**3 + b*u**2 + x*u + t*u**4 and give t.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 + 9\/(-5). Let c(h) = -h**3 - 2*h**2 + h + 3. Let x be c(b). What are the prime factors of 38*4\/(x + 3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 - 4*k**3 + k**4)*(3 - 4 + 3 + 1 - 1 + 1 + (1 - 3 + 4)*(-1 + 5 - 2) + 0 + 2 - 1 + 5 + 2 - 2).\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 6*k**2 + k - 2. Let v be u(6). Suppose 7*d - v*d - 354 = -3*b, 5*d = b + 590. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.1 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 18366 = -9802. Suppose -3*i = -15, 3*s + i - a = 5566. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.542 or -17?\nAnswer: 1.542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13199143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggjgjgjgg. Give prob of sequence gj.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155318, 310609, 465900, 621191, 776482, 931773?\nAnswer: 1087064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000987 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*m + 7*m - 16*m + 11*m to the form t*m + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 14. Let g be n(-3). Let k = -5 - -8. Suppose -k*f + 1 = -g. Solve 5*z + 15 = r, 0*r = 2*r - f*z - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = i + 4*i. Suppose -8*r + i*r = 0. Suppose 7*m - 2*m - 100 = r. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 72 = 0, -26 = 338*x + d + 83 + 288 - 77 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, u: 2, l: 2, q: 3}. What is prob of sequence luqi?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (252\/(-180) - 1)*(-16875)\/2.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 34*k**2 - 31*k + 68. Let d be f(-33). Suppose -d*j = -3*j - 3*x + 416, 2054 = 5*j + 2*x. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -2829\/74?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/81*18054\/885)\/(4\/18)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72195066.\nAnswer: 2, 3, 37, 108401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*m - 916 = -4192 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 + 8*t - 9. Let r be n(6). Let s = 280 + -4202\/15. Which is the third smallest value? (a) s (b) 3\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -d - 20, 2*d - 20 = d - 5*y. Let a(u) = -27*u + 3. Let i be a(d). Let j = i - -53. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64274 (base 9) to base 15.\nAnswer: c8e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-146528)\/(-4820))\/(-1*1\/5). Which is smaller: v or -754\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007408828 rounded to four dps?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2) + -1)**2 + -1 - sqrt(20)\/(((sqrt(70)*2 - sqrt(70)) + sqrt(70))\/sqrt(7)).\nAnswer: -5*sqrt(2)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9329757 divided by -9329757?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 14 = 5*x - 86, 2*x - 53 = 3*d. Let c be (-12)\/114 - (-2)\/x. Suppose c = -v - 3*j + 50, -4*v = 3*j - 77 - 87. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41994 - -41995. What is the fourth smallest value in 6, l, 1.1, 3, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + t + 20 = 4*c, -c = 4*t - 4. Solve g - c + 8 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**3\/6 + 6*g - 76. Let w(j) = -2*j - 40. What is h(w(a))?\nAnswer: 2*a + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -0.18, 0.04 in descending order.\nAnswer: 5, 3, 0.04, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 < 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731695?\nAnswer: 5, 61, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 19. Let o(i) = -2*i + 18. Let p(z) = 5*n(z) + 6*o(z). Let w be p(6). Let j(f) = f**2 - f - 1. Calculate j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 times 28981\nAnswer: 985354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-6))\/z)\/((z\/(z*z\/(z**5\/z)))\/z)*(z**(-1\/4)\/z)**38)\/(z**(-6)\/z**(2\/9)*(z**(-1\/4)*z)\/z**1) assuming z is positive.\nAnswer: z**(-1729\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1190 - -1194. Let n(b) be the third derivative of -1\/60*b**5 + 0*b**3 - 4*b**2 - 1\/24*b**y + 0 + 0*b. Factor n(v).\nAnswer: -v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40, 39, 40, 43?\n\"Answer: l**2 - 4*l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -893 + 577 = -79*z. Let y(t) be the third derivative of 0 + 1\/2*t**3 - 22*t**2 + 1\/60*t**5 + 0*t**z + 0*t. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0657 in -0.4, 53, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4171 is divided by 241.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y + 0*y)*(y + 0*y - 2*y) + 2*y**2 + 5*y - 5*y + (2*y - 6*y + 2*y)*(2*y - 2*y - y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69222400 rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37194 + 37950. What is the greatest common factor of 476 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/63 and 55\/549?\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161024 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmdrrjedjmreeedjrej. Give prob of picking 1 m and 2 d.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2442993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-13)\/(260\/(-214765)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n - 1 - 31. Let y be 10\/n - -2 - (-287)\/14. Suppose -180 = -22*j + y*j. Calculate the highest common factor of 36 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-289) + (-20)\/(-408).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -213\/5?\nAnswer: -213\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -46464 (b) 0.04 (c) 2\/17 (d) 1\/7 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -7 + 68 + -58.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m - 6*m - 8*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.796459 kilometers in millimeters?\nAnswer: 6796459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l - 5*w - 4250 = 54*l, 0 = -l - 5*w + 868. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.2 + 10.9. Let l = -20 + i. Let a = 67 + -63. What is the nearest to l in -3, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 10 (b) 1\/2 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 0*h + 5*h**3 + (68 + 6 + 88)*(-12*h**3 - 10*h**3 + 9*h**3))*(-3*h + h + 4*h) to w*h**4 + v*h**2 + a*h**3 + y + i*h and give w.\nAnswer: -4202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-96)*(-411)\/15 - -3*(-28)\/(-12)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 122134649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5553902 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 409574*p - 2047926. Determine y(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28219 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j - 542996*j**3 + 542994*j**3 + 15*j + 3*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/(6\/36). Let l = 2.7 - -0.3. Put b, l, -2 in descending order.\nAnswer: l, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 1. Let y(a) = -19 - 44*a + a**3 + 32 + 32*a - 9*a**2. Let j be y(10). Determine s(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 + 184*x**2 - 16*x - 736 = 0. What is x?\nAnswer: -46, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*w + 8 = -146*w. Let g(f) = -f**2 + 1. Let t be g(w). Put -0.4, 2\/5, t in increasing order.\nAnswer: -0.4, t, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*i**2 + 185*i**2 - 51*i**2 + 275*i**2 in the form b*i**2 + z + l*i and give b.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*d = 741*d - 77 + 5 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33225 and 476400.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 580 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*r*x**3 + 8*r*x**2 + r*x + 62*r + 2*x**2 - 2*x wrt x?\nAnswer: 96*r*x + 16*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 + -166.51. Let m = r - 3.49. Which is the smallest value? (a) -0.07 (b) 1 (c) m (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077674 equal to 1077675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {e: 1, w: 5, k: 3, q: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-1)\/(-3))\/((-1)\/(-66)*6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 2 + 2 + (3 + 6 - 4)*(29*i + 22*i + 7*i).\nAnswer: 288*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2 - 739*v + 26638 = 0 for v.\nAnswer: 38, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 26*q + 8867. What is the units digit of o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14160 = -14*q - 8 + 2732. What is the remainder when q is divided by 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8616711 less than or equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 601 + -2407\/4. Let g = 0.093 + -6.393. Let n = g + 6. Which is the nearest to 1? (a) n (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k. Let f(y) be the third derivative of 5*y**4\/6 - 109*y**2 + y. What is f(a(i))?\nAnswer: -140*i","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let i = -998 + 1375. What are the prime factors of i?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lktuuluuluuluuttutut. Give prob of picking 1 k and 1 l.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 42980060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206843866.\nAnswer: 2, 103421933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 430*u**2 - 204*u**3 + 2*u**6 - 2*u**5 + 2 + 59*u**2 wrt u?\nAnswer: 240*u**3 - 120*u**2 - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 588 = 4*u. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30069 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 p when four letters picked without replacement from jppypyep?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1001)\/(-308)*36\/(-27)*(4 - 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -118, -102, -82, -58?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -116738800 divided by -1268900?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167916112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.8157 + 4.42596. Let r = 3.24176 - x. Let l = 14 + r. What is l rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222725.215870439 + -222350.215869. Let k = -375 + h. What is k rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 31722 = -2*g + 9*c, -3*g = -5*c - 47580. What is g rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2.5. Let x = -3.5 + k. Let g = 4.5 - 0.5. Which is the second smallest value? (a) 0.2 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 2\/3, -18, -0.2, 589\/20, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5161.325kg?\nAnswer: 5161325000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l - 103. Let m be h(10). Let c be 4\/m + (-5)\/(-90)*6. Sort c, 1, 5 in descending order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 42617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -65. Let t = 93 + -99.3. Let x = t - -6. Which is the closest to n? (a) -3 (b) x (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 5*k + 25, 5*k + 62 = 7*w + 3*k + 79 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/84*3)\/((-2)\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4659147 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.45 + -38. Let f = 0.48 + k. Let t = f + -0.03. What is the fourth smallest value in 6, 2\/15, 1, t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -41, -21, 19, 85, 183, 319?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 27. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 greater than or equal to -511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/(4\/48). Suppose 4*y = -2*l + o, 1 - 3 = -3*y - 5*l. Calculate the remainder when -2*((-30)\/y - -1) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*d**2 - 124*d**2 - 17*d - 18*d + 367*d**2 - 124*d**2.\nAnswer: 3*d**2 - 35*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 16*v**2 + 2. Let b be r(16). Let m(j) = -98*j + 48*j + 50*j + 4*j**b. Let d(f) = 17*f. Determine m(d(i)).\nAnswer: 1156*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2122 + -2111. Suppose 51 = v - 70. Calculate the greatest common factor of z and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 5246040*d**2 - 1376036291940*d + 5504229104720.\nAnswer: -5*(d - 4)*(d + 524606)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6 - 12*s**2 - 5*s**3 - 4 + 7. Let i(p) = -p**3 - 3*p**2 + 2. Let v(t) = 9*i(t) - 2*j(t). What is the third derivative of v(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhlojlttlllhlt. What is prob of picking 2 t, 1 l, and 1 j?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 225613019 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.99 - -0.01. Let c = -10 + 5. Let y = c - -4.7. What is the closest to 2\/5 in -1\/5, y, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/5*1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -48.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -16 + -35 - (2 + (-1 - -23))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -v - 7, 3*l - 5*l = -3*v + 23. Let n = 7 + -5. Which is the second biggest value? (a) v (b) n (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(3 + (-5884)\/12). Let c = r + 2841\/2. Calculate the common denominator of -15\/4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 35*r - 21. Calculate w(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.1. Let k = 40.1 - 40. Let n = 1 + -1.1. Which is the nearest to n? (a) 0.3 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/(-5))\/((-686)\/2352))\/(4\/14).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/567 and -73\/210.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*w - 6 = 0, 4*r - 6074 + 6103 = -7*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.054502 (b) 2 (c) 472\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14274, -18286, -24974, -34338, -46378?\nAnswer: -61094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -146*r + 141*r. Is (r - 2) + 3 - -1164 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/11 + 27009870*s\/11 + 182383269354225\/11 = 0.\nAnswer: -13504935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -9477, -4 in ascending order.\nAnswer: -9477, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -516 greater than or equal to -3\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j*j*j**6)\/j)\/j*j*j)**12 assuming j is positive.\nAnswer: j**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.03 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/25 - -2)\/(4\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 - 2*l**4 + l**4 + (3*l**3 - 4*l**3 - l**3)*(l - 22*l - 7*l) + l**4 + l**4 - 3*l**4.\nAnswer: 54*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 20*x - 20*x + 58*x.\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 37 - 96)*(1 - 1 + c) + 108 - 108 - 8*c.\nAnswer: -114*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57\/(-9) + (-2)\/(-6). Let g(u) = u**2 + 6*u + 2. Give g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -151, 4, -0.11, -1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**3 - 5. Let v(r) = 3*r**3 + 2. Suppose 17 = 4*i + 3*l, 6 = i - l - 0*l. What is i*v(d) + 2*n(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.034, -2, -1\/8, 7 in decreasing order.\nAnswer: 7, 0.034, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 46054.981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99)*-6)\/((sqrt(90)*1 - sqrt(90))\/sqrt(10) + sqrt(9) + sqrt(9)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273633 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/(i*i\/i**(-2\/3))))**(-1\/12))**23 assuming i is positive.\nAnswer: i**(-253\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**9\/18 + 7*o**5\/20 - 22*o**2. What is the third derivative of n(j) wrt j?\nAnswer: -3360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 9*g**2 - 27*g - 26. Determine f(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x + 7. Let w be i(6). Suppose -2*g = h - 4, h = -4*g + 260 - 256. Solve -w*j = -h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49*(-68)\/(-6664)*1\/2*-13?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 73 (b) 0.04 (c) -0.05 (d) -28\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 7*o**4\/20 + 4*o**3\/5 - 2*o**2\/5 + 1. Determine i so that u(i) = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(-80)\/2520*(-2)\/(6\/(-45))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by 7\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, r: 1, n: 7, e: 3, f: 1, c: 4}. Give prob of sequence nfnn.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + l = -4*t - 8, -3*l = 12. Which is the second smallest value? (a) t (b) -4 (c) -16\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**3 - y**3 - 5065 + 327*y**4 + 5251 with respect to y.\nAnswer: 1308*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**3*v**2 - 2*g**3*v + 516*g*v - 215*v**2 wrt v?\nAnswer: 8*g**3 - 430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + ((sqrt(567) + 0 + sqrt(567))*-6 - (sqrt(567) + (sqrt(567)*1 + 1 - sqrt(567)))))**2.\nAnswer: -702*sqrt(7) + 95830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 38, 3, -3, -4 in decreasing order.\nAnswer: 38, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - u = -3*u - 4498, -u = -5*c + 11257. What are the prime factors of c?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 + -2 + 6 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. Which is the nearest to l? (a) 0.5 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 3. Let j be u(0). Let i be 32\/40*(-1410)\/18. Let y = -63 - i. Which is the smallest value? (a) y (b) 2\/5 (c) j (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2228.463l?\nAnswer: 2228463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) -0.134 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -28. Suppose -3*h + m = 53, 2*h + 49 = -h - m. Let z = h - t. Calculate the smallest common multiple of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, 11, 1, -3, -49 in descending order.\nAnswer: 11, 4, 1, -2, -3, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*y**2 - 2*y - 184*y**2 + 375*y**2 - 139*y**3 - 1751*y**3 as h*y**3 + s*y + m*y**2 + z and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 471418, 471189, 470960, 470731?\n\"Answer: -229*j + 471647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 5, 0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1849*i. Let l(w) = -11*w**2. What is m(l(v))?\nAnswer: 20339*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 2*p**2 + p - 2. Let x(g) = g**3 - 10*g**2 + 8*g + 11. Let m be -1*((-40)\/4 - -1). Let s be x(m). What is r(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 5. Suppose -2*u - u = -30. Let m = -17 - -21. Suppose -m*q = u - 2. Let a(d) = 1. Calculate q*l(n) - 10*a(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**3\/3 + 3*k**2\/2 - 4*k + 10. Calculate n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.39641221 rounded to 2 decimal places?\nAnswer: -38.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.184261 millimeters?\nAnswer: 7184.261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -339523000 to the nearest 1000000.\nAnswer: -340000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 55 = 11. Let y(d) = -17*d - 39 + 22 + l - d**2. Is 13 a factor of y(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 101.172?\nAnswer: -1416.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -14*l - 61. List the prime factors of q(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128115519?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -458 by -105386.\nAnswer: 229\/52693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*6)\/(2667\/(-254))*112?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 9. Let z(p) = -1. Let v(d) = r(d) + 3*z(d). Let l be v(-12). Let k(x) = x**2 + x - 570. Let m be k(l). Round m to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzdddddz. What is prob of picking 2 d?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 2 + 2*a - 2*a**3 + 3*a**3. Let y be v(2). Suppose -25 = -3*j - y*t, -j - 3 = 3*t - 18. Solve -j*n + 12 = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**6 + 36*z**5 - 5*z**4 + 78*z**2 + 5*z. Let l(m) = m**4 - m**2 - m. Let f(r) = g(r) + 5*l(r). Find the third derivative of f(p) wrt p.\nAnswer: -240*p**3 + 2160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33430 (base 5) to base 4\nAnswer: -210331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -22*m**2. Let p(k) = 35*k**2. Calculate r(p(j)).\nAnswer: -26950*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n*n**(1\/5))))\/(n\/(n*n**(-15\/2)*n)))\/((n\/(n**(-1)\/n*n))\/n)**(-2\/23) assuming n is positive.\nAnswer: n**(-969\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*x - 37949 - 42331. Calculate the remainder when 2235 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**2*i**2*k**2 + 2*c**2*i*k**2 + 124*c**2*k**3 + 2985*c**2*k**2 - c*i**2*k**3 - c*i**2*k - 5*c - 2*i**2*k + 40*i*k**3 wrt k?\nAnswer: 744*c**2 - 6*c*i**2 + 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 10*f - 25)*(f - 2 + 2) + 179*f**2 + 31*f**2 - 27*f**2 - 6*f**2 + 2*f**2 + 3*f**2 + (2*f**2 - f**2 - 3*f**2)*(-1 + 0 - 1).\nAnswer: 176*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 17*b**2 - 505*b - 621. What is the first derivative of m(l) wrt l?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and ((-8)\/(-4))\/(-2) + 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2837587\/2211060 + -1\/36851. Let g = -90124 + 5407301\/60. Calculate the common denominator of d and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.1404131\nAnswer: -0.01404131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 14*j + 9. Solve -3*l - 3*x - 6 = -j, -4*l = 2*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 + -0.75. Which is the fourth biggest value? (a) 0.3 (b) 2\/21 (c) y (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/10 - 4*x**4 - 23*x**3\/3 + 3*x**2\/2 - 5*x + 10. Let o be u(-23). Solve -4*p + 5*z = 17, -7*p = -o*p - 4*z + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2 - 4*y - 3. Let n(v) = 2*v - 5. Let s be n(5). Let h be 8 + 190\/(-25) + 8\/s. Suppose d + h*d - 4*k - 6 = 0, -3*d - k = 9. What is t(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 102 = 16*i. Let g be (-4)\/i + 1164\/68. Let l = g - 15. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/12 and 59\/2037.\nAnswer: 8148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -775552\nAnswer: -232665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 65612?\nAnswer: 721732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 862570 divided by -2\nAnswer: -431285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 696*r**2 + 1 - 3*r**3 + 763*r**2 - 1458*r**2. Calculate m(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1317120 and 640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - s**2 + s + 1. Let a(v) be the first derivative of -6*v**2 - 24*v**4 + 3*v**2 - 25*v**4 + 4 + 2*v**3 - 2*v + 47*v**4. What is -a(u) - 6*y(u)?\nAnswer: 2*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -29, -2, -1, -0.15, 5295 in descending order.\nAnswer: 5295, 2\/3, -0.15, -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38.8 and -404?\nAnswer: 15675.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434971 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**4\/3 - 13*x**2. Let w(a) = 4*a**2. Calculate w(y(d)).\nAnswer: 256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6.1. Let o = -3.66 + 0.66. Which is the closest to 2? (a) d (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6887 - 13572 + 7436 + 5*v to t*v + q and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31062 times -3\nAnswer: -93186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 - -332. What is the greatest common factor of q and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 + 374*g**2 - 196*g - 650. Let x be r(-94). Solve 0 = -104*w + x*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 19*c - 14 = 0. Let g(a) = -2*a**2 - 16*a + 3. Let m be g(c). Let u(q) = -5*q**2 + m*q**2 - 10*q**2. Let r(y) = -12*y. What is u(r(b))?\nAnswer: 288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 944.2. Let z = a - 1090.64. Let v = 209 + z. What is v rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.87 + 2623.\nAnswer: 2623.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25036, 100423, 226062, 401947, 628072, 904431?\nAnswer: 1231018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*y - 2*v, -y - 3*v = -13. Let f(c) = c**2 - 10*c + 14. Let q be f(11). Let b = -27 + q. Is b > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4109, 16386, 36867, 65558, 102465, 147594, 200951?\n\"Answer: s**3 + 4096*s**2 - 18*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 3*v + 3*p - 348, -2*v + 225 = -p. Suppose -v + 101 = -5*w. Let j(q) = -q**2 + 14*q**2 - 11*q**w. Let x(i) = -23*i. Calculate j(x(n)).\nAnswer: 1058*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f + 42 = -3*a, -194 = -5*f - a. Suppose 33 + f = 3*v. Suppose 4*u + 4 = v. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 23.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/12 + -3)\/((-2)\/54). Suppose b - 2*s - 11965 = 0, 6*s + 6 = f*s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 10:10 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s - 3. Let p = 31 - 39. Let g be x(p). What is the greatest common factor of g and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t. Let u = 63 + -57. Calculate h(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -30. Let s = w - -46. What is the remainder when 48 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 13513*t**2 - 14103*t**2 + 27620*t**2.\nAnswer: 4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26234 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + -3 + (((sqrt(132) - 2*sqrt(132)) + sqrt(132))*-3)\/(sqrt(12)*2*5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w*w**(-6)*w)\/w*w*w*w**1\/w*w**(-4\/9)*w*w**(3\/4)*w assuming w is positive.\nAnswer: w**(47\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d**2 + 63*d + 7. Give m(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + o + 1. Let f be 1\/(-2 + 36\/20). Let r(w) = 8*w**2 - 5*w - 5. Let t(d) = f*i(d) - r(d). Let n(j) = j + 2*j - 2*j. Calculate n(t(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2530\/9 bigger than -281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-13)\/(-260))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 2*v - 12 + 30, 3*v = -15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86386*p + 26931?\nAnswer: -86386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - k = -2 - 2, -z - 5*k = -2. Solve -18 = -4*j - z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 2*x - 5*x)*(2*x**2 - x**2 - 4*x**2) + 3*x + 2*x - 9*x**3 - 7*x in the form d*x + l + m*x**2 + f*x**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1413 or 24.838?\nAnswer: 1413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -726 - -1914. Suppose 21*m - 12*m = u. Is 24 a factor of m - (-2 - 2 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -6.7\nAnswer: 0.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 2493930*z + 124684000 = 0.\nAnswer: -498736, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**8\/1344 + d**7\/840 - d**6\/240 - d**5\/120 + d**4\/96 + d**3\/24 - 56*d**2. Factor r(p).\nAnswer: (p - 1)**2*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 2. Let w be m(-1). Suppose -w*t + 0*t = -70. Calculate the least common multiple of 8 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145956 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*c**5 + 9*c**6 + 17*c**2 + 187*c**5 + 3 wrt c.\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1330 + 1266. Put -6\/7, -1\/5, i in decreasing order.\nAnswer: -1\/5, -6\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + -1 - -15 - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00301620814 to seven dps.\nAnswer: -0.0030162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/15*168\/11648*13\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*x - 949 + 963, 4*x - 44 = 4*b for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -58, -126, -220, -340, -486, -658?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3\/4, -0.29, 20.07?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 80, -2, -55, -3, 5.\nAnswer: -55, -4, -3, -2, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 803.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 54 = 4*u, 0*i + 4*i + 2*u - 138 = 0. Let a be (1*3\/2)\/(i\/(-1406)). Let l = a - -90. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.220603322 and 0.\nAnswer: 0.220603322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Let j(q) = -5851856*q. Determine j(s(p)).\nAnswer: 11703712*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29340060 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 341 and 899.\nAnswer: 9889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 75734 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 302189, 22\/7 in increasing order.\nAnswer: 0.2, 22\/7, 302189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 43 = -a, a - 2*w - 16 = -7*w. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 3*m**2 + 3. Let p(f) = f**3 - f**2 - 1. Let y = -8 + 14. Suppose -y*k - 3 = 3. Calculate k*j(h) - 3*p(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275973560.\nAnswer: 2, 3, 5, 251, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 9827.\nAnswer: 2\/9827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (-6*2*sqrt(95) - sqrt(95)) - sqrt(95))\/(sqrt(80)*-6) + -3.\nAnswer: -3 - 13*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-6) - (-10167410)\/66) + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -455*d**4*q - 859*q wrt d.\nAnswer: -1820*d**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**7\/4 - 19*f**6\/20 - 57*f**5\/10 + 37*f**4\/2 + 12*f**3 - 44*f - 3. What is y in b(y) = 0?\nAnswer: -3, -2\/7, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1924 + -1909. Which is the nearest to x? (a) -3 (b) 4\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 - 4276*r**3 + 142928*r**2 + 302976*r = 0 for r.\nAnswer: -2, 0, 36, 2104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, e: 8}. What is prob of picking 4 e?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 3, w: 3}. What is prob of sequence wwlk?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-6)*1\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, q: 6, x: 1, y: 2, i: 2, e: 5}. What is prob of picking 1 y, 1 x, and 1 m?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 551*y - 2. Let h(f) = -2770*f + 9. Determine 11*c(d) + 2*h(d).\nAnswer: 521*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -29. Calculate the lowest common multiple of 142\/6 + (-2)\/(-6) and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.75? (a) 5 (b) -0.5 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2 - (-45)\/6. Suppose 12 = 5*b + 4*k, -9 = -5*k + y. Which is greater: -2\/67 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 196 = 143 - 119. Do w and -112 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 1}. What is prob of picking 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 z when four letters picked without replacement from zjzzzzzzzyjzzyzjyy.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/450 - 11*q**4\/180 - 4*q**3\/3 - 419*q**2. Factor y(v).\nAnswer: 2*(v - 15)*(v + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - t = 132, 2*x + t = -4*t + 88. What is the lowest common multiple of 14 and (-3)\/(-9) - x\/(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/2, -400, -0.2 in descending order.\nAnswer: -0.2, -1\/2, -4, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -16*q + 3*q. Let r be (q + (-40)\/15)*(-195)\/10. Is r greater than 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*g + 30*g = -504 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from svsssvsssssvsv.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 151754 and 151774 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**4*u - 345*s**2 + 562*s*u + u wrt s.\nAnswer: -12*s**2*u - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1140 and 855?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) -6 (c) 6 (d) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 0.1 (c) 5 (d) -1\/5 (e) -163 (f) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 16 = d, 6 + 6 = 3*d. Let n = -1161 - -1156. Is -2 + n + p + (-532)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631169 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 182, 155, 0 in ascending order.\nAnswer: -2, 0, 5, 155, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o + r - 8, -2*r = -2*o - 8. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1878, 7508, 16894, 30036?\nAnswer: 46934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 3*y + 5. Let f be b(-3). Let z = -61 - -113. Suppose z = 4*p - 8. Solve 5*j + f*c = -10, 0 = -3*c - 0*c - p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*r + 40, 2*c = 2*r + r - 20. Let v(x) = -25*x - 3. Calculate the remainder when v(-2) is divided by ((-16)\/c)\/(1\/10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -177563 <= -177563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -54*f**3 + 2*f**2 + 7*f. Let q(s) = -27*s**3 + s**2 + 4*s. Determine 7*q(n) - 4*r(n).\nAnswer: 27*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 733 - 725 = 2*a, 2*p = -5*a - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/120888878 and -13\/568443?\nAnswer: 362666634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-40))\/((-2)\/(-2748)). Let q = 1733 - j. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -713 * -141\nAnswer: 100533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63994 is divided by 366?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*-22960\nAnswer: -22960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*h + 756, -h - 424 = 3*c + 4*h. What is the units digit of 5 + -8 - -4 - c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/1 - 20\/9. Let y = -2.49 - 0.66. Let q = 0.15 + y. Which is the third biggest value? (a) q (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**8\/84 - 2*t**7\/105 - 13*t**6\/15 + 8*t**5\/15 + 80*t**4\/3 + 256*t**3\/3 - 2*t**2 + 3. Let m(p) = 0. Calculate p.\nAnswer: -4, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37609.\nAnswer: 11, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 210 = 3*w, -m - 3*w = -4*m + 234. Suppose 8*z - 6 = m. Calculate the greatest common divisor of 110 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 14.45. Let d = v + -0.6. What is the nearest to 1 in -4, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/63 and 27\/203.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 5*a**3 - 9*a**2 - 37*a**2 + 13*a**2.\nAnswer: -2*a**3 - 33*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*s = 4*s. Suppose -2*x = -s*x - 234. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 368 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 12:09 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1142 + -397. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0659 and -0.3.\nAnswer: -0.01977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 2\/3*t**3 + 0*t + 10 + 0*t**2. Let u(q) = -20*q - 8 + 8. What is u(c(v))?\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 8*a - 66. Suppose a*r - 9 = 16*r. Let n be 5 + 32 - 4*r. What is the greatest common divisor of 82 and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((-7)\/2 - -3). Suppose 5*i + u*i = -5. Let f(p) = -6*p**2 + 1. Let s(b) = -25*b**2 - b + 4. Let t(j) = 9*f(j) - 2*s(j). Calculate t(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70 - 5*q**3 + 51 - 17*q + 4*q**3 + (3*q + q**2 - 3*q)*(-q + 0*q + 3*q).\nAnswer: q**3 - 17*q - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -608 - 27*w + 608 + (w - 3*w + 0*w)*(-3 + 2 - 1) + 3*w - 3*w - w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 10*s - 16*s = -s + 7 - 26, -4*g = -14*s - 4 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*h - 70. Calculate the highest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1078, 1076, 1074, 1072?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -25*c**3 + 2*c**2 + c. Let t be p(-1). What is the common denominator of t*(0 - (-2)\/(-44)) and -73\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -9. What is the tens digit of (-2)\/(l\/12) - -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-834*d + 4 + 0 + 770*d)*(-2 + 0 + 1 + (0 + 1 - 3)*(2 + 3 - 4)).\nAnswer: 192*d - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 0*l**2 + 0*l**3 + 1\/12*l**4 - 5*l + 0. Let o(d) = d**2. What is x(o(c))?\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 1 + 2 + 145 + -199\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3798 + 3*b**4 - 24*b**5 + 5*b**5 + 3798 - 249*b**2 wrt b.\nAnswer: -1140*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 216, 0, -5, -19, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-96)\/(-80))\/((-4)\/(-10)). What is the highest common factor of t and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 + 6 = 0. Let s(q) = -2*q**j + 9 - 10 + 0*q**2 - 5*q**2 + 4*q**2 + 2*q. What is s(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2547*t**2 + 21*t - 37. Let o(g) = -g**2 - 5*g + 2. Let y be o(0). Is f(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:21 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/40 and 53\/164.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*z + 18, 8*t - 3*z = 7*t - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 b when four letters picked without replacement from zbzbzbz?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025869 to three decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6426 and 23700873?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10642*g**3 + 66*g**2 - 10642*g**3 + 22 + 413*g**5 + 3*g**6 - 22 wrt g?\nAnswer: 360*g**3 + 24780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:34 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -377 + 1879\/5. Which is the third biggest value? (a) -2 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o**0*o)\/o)\/o*o)**(9\/4)\/(o*o*o**(-1\/4)\/o*o)**(-47))\/(o**(-3\/4)\/o**(-2\/3)*((o*o*o\/(o**(-6)*o))\/o)\/(o**1*o)) assuming o is positive.\nAnswer: o**(955\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l = -28*l - 8285. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -75*t - 112 - 309 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25688\/3380*4\/(-8)*5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 554 + 551 = 3*g, -6*g + 3*x + 30 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 + 93\/4. Let h(u) = 61*u + 12 - 192*u - 44 + u**3 + 115*u - 19*u**2 - u**2. Is h(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94 + 1187*y - 1192*y - 96 - 56*y**2 + 190)*(-y + 0*y + 3*y) in the form h*y + p*y**2 + v*y**3 + r and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 6*t**2 - t - 3. Let k(r) = r**3 + 2*r**2 - r + 1. Let x be k(-2). Let v = 2 + x. Determine o(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/12 + v**2 + 6*v. Let k be o(0). Find the second derivative of -10*p - k*p**3 + 16*p + 9*p**3 wrt p.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.1, -2, 13\/4 in increasing order.\nAnswer: -2, 3.1, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgo when three letters picked without replacement from xotogx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 109*c**2. Let v(q) be the second derivative of 52 + 0*q**2 - 1\/6*q**3 + 2*q. What is v(n(b))?\nAnswer: -109*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -5 - (30 + -33)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.7 + 14.5. Which is the fourth smallest value? (a) o (b) 0.3 (c) -0.3 (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = a + 4, 12 = 50*t - 47*t - 3*a. Suppose 3*y - 19900 = 2*y - j, t = -4*y - 2*j + 79600. What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/112 and -145\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 32. Which is the second smallest value? (a) -5 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21490, -42803, -64116?\nAnswer: -85429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -20*n**5 + 7260895*n**4 - 659024696855*n**3 + 3130223455180*n**2 - 1812215811200*n - 658990208000 = 0.\nAnswer: -1\/4, 1, 4, 181520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5126 + -5049. Solve 79*t - p*t = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 24 = -334. Let b = -62 + x. Suppose 3*n - r + 3*r + 2 = 0, 2*n + 2*r + 4 = b. Solve -w + 2 = 4, w + 10 = -n*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d - 1271 - 527 = 0. Let z(q) = -2*q**2 + 2*q - 5. Let i be z(-4). Let g = i - d. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 2. Let c(i) = -46 + 3*i - 66 - 56 + 165. Let j(t) = t**3 + 5*t**2 - 5*t + 1. Let q be j(-6). What is q*y(k) + 4*c(k)?\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5328079732?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 6:45 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1, 4\/7, -7566, -5, 26, -2\/21?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + (-52)\/(-572)*649?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1004 (base 7) to base 14.\nAnswer: 1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25845.957097 - 25779.957. Let x = 66 - u. What is x rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9126 and 46.372.\nAnswer: -9079.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a. Let g(q) = -11*q + 7. Let y(r) = 53*r - 34. Let s(j) = 11*g(j) + 2*y(j). Let v(t) = 46*t - 24. Let l(h) = 8*s(h) + 3*v(h). Calculate i(l(x)).\nAnswer: -108*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-40) + (-4)\/10. Suppose 20 = k - 3*u, 2*u = -5*k - 0*u + 15. What is the second biggest value in 0.1, o, k, 10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10941126 is divided by 2188223?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/10 + 0). Let s = 0 + 1. What are the prime factors of 9\/s*x\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 16*p = -20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -5\/2*w**2 + 0*w - 110. Let y(x) = -x + 7. Let j be y(6). Calculate a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 26579*q + 106967. Give w(-4).\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -2 + 1)*(-2 - -11). Let z(s) = -8*s + 10 + v*s - 7*s - 6*s. Let t(r) = r - 1. Let a = -1 - -3. Calculate a*z(q) + 22*t(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z, -11 = -3*k - 0*z - 5*z. Suppose -u - 7 = -k*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9b + 5?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1665*j**2 - 4999*j**2 + 1661*j**2 + 1642*j**2. Let t(a) = 3*a**2 + 31*a. Give t(x(q)).\nAnswer: 2883*q**4 - 961*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t - 21 + t**2 - 3*t - 11*t to the form z + b*t**2 + j*t and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3826.02 + -3827. What is the third smallest value in 1, 2, -0.5, 4, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzzrzzvzrzezezrour. Give prob of sequence eo.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Suppose 0 = -8*u - 1 + 17. Let p(i) = -101*i - 104*i**u + 101*i. Give p(r(c)).\nAnswer: -416*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141406 - -707032\/5. Factor -12\/5 - i*n**2 + 14\/5*n.\nAnswer: -2*(n - 6)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 5*q. Let s(p) = -16*p - 1. Does 5 divide s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, k: 1, b: 11, v: 4}. What is prob of sequence bbdv?\nAnswer: 11\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162122, 4, -296 in increasing order.\nAnswer: -162122, -296, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11*u)\/u*u**(-1)*(u*u**(-15)\/u)\/u**(-3\/7) assuming u is positive.\nAnswer: u**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2340*g = -2281*g + 59 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204)*-6)\/sqrt(12)*1.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:41 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 198765423 and -163587.\nAnswer: 198601836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62.97 - 65.97. Which is the closest to 0? (a) -2\/5 (b) w (c) -1 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 6\/103 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 2*k + 2*k + (-12 + 10 - 32)*(k + 2*k - 2*k) to the form p + u*k and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 2432 + 2468 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**7\/210 + 28*b**6\/15 - b**2 + 533. Factor h(d).\nAnswer: -d**3*(d - 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 3*h**2 + 3*h - 3. Suppose -4*u - 2 = -10. What is the smallest common multiple of u and j(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1471, 2934, 4397, 5860, 7323, 8786?\nAnswer: 10249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22725962.\nAnswer: 2, 7, 1623283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*s**4 + 19473*s**3 - 1043081*s**2 + 1921512*s + 174988 = 0 for s.\nAnswer: -2\/23, 2, 97, 451\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -136*b**3 - 180*b**2 + 36*b = 0.\nAnswer: -3\/2, 0, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 525483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -910 + 1322. Suppose k = 3*q + q. Let s = 172 - q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + n**2 - 3*n**3 - 2*n**2 + 2*n**3 + 0*n**2. Let l(r) = -4*r**3 - 12*r**2 - 6*r + 2. Let g(a) = 5*b(a) - l(a). What is the units digit of g(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 27 - 55 = 0. Let a be (11 - 10)*(-1 + 0). Let o be -3 + (9\/6)\/(a\/(-2)). Solve o = -z*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**4 + 2598*t**3 + 116904*t**2 + 1161450*t - 4606875 = 0.\nAnswer: -819, -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-45)\/325) + 2\/9. Let c = o + 69. Let z = c - -32. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + -3 + (-12 + 1 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 5:04 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 643131 (base 9) to base 16\nAnswer: 5d772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*p - 330*p + 20*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20587 and 38752.\nAnswer: 658784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.3 + 16.\nAnswer: 94.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 78635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -70\/19 (c) 0.765\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-25 - (5 - 22))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(4433\/26))\/((-1)\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = 2*t + 29, -7*h - 27 = 68*t - 71*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 151 = -o, 5*o - 733 = -6*h + 2*h. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 180*f**2*l**2*z + 47988*f**2*l**2 - 3*l**2*z - 52*l**2 + 79*l*z + 4*l - 3*z + 9 wrt f?\nAnswer: 360*f*l**2*z + 95976*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1087.52 + -1063. Let i = c + -24. Let r = 0.12 - i. What is the third biggest value in -4\/5, r, -0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 10 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440841497.\nAnswer: 2440841497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.353 - -0.553. Which is the nearest to n? (a) 0.1 (b) 4 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6304*u - 151024. Calculate v(24).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 665\/43 greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, 0, -0.02, -83, 415.9 in descending order.\nAnswer: 415.9, 2, 1, 0, -0.02, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 15850899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 14*b**2 - 47*b - 7. Let c(m) = -24*m**2 + 96*m + 16. Give 5*a(s) + 3*c(s).\nAnswer: -2*s**2 + 53*s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -13 + 24 - (40 - 1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -361 + 572. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/(-2) - (5\/935)\/(147\/82173)?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/29 - -65\/203. What is the closest to -0.1 in 3, 3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -638\/13. Let c be 46\/69*(-1)\/(-1). What is the closest to c in 0.5, 2, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9113.276 millennia to years.\nAnswer: 9113276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 30. Give d(-20).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2168, 2177, 2198, 2237, 2300, 2393, 2522?\nAnswer: 2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1152699 or -1152698?\nAnswer: -1152698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 24. Let r be g(-11). Let c(q) = 133*q**2 + 16 + 199*q**r - 6*q - 4. Let b be c(-6). Round b to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 45, 21, -37, -141, -303?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40580?\nAnswer: 2, 5, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 28667591?\nAnswer: 28667596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**3 - 7*o**2 + 18*o - 19. What is g(4)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -1. Suppose f + 31 = 2*q. Calculate the remainder when 56 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -3*y**5\/5 + y**4\/4 - 3*y**2\/2 - 102*y. Let l(i) = -11*i**3 + 2*i**2 - 2. Calculate 3*l(n) - 2*t(n).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -97731 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8704, 16980, 24872, 32422, 39672, 46664, 53440?\n\"Answer: 7*n**3 - 234*n**2 + 8929*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/24 - 1*2. Let c = -17 - -17. Put 2\/7, z, c in decreasing order.\nAnswer: 2\/7, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 2. Let j be (c + -1)\/(5 + -4). Suppose -l = -2*b + 45, -2*b - 3*b - 4*l + 80 = j. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 17. Let p be f(12). Suppose 5*s = -i - 2, p*s + 16 - 2 = 3*i. Which is the nearest to s? (a) -3 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x. Let p(h) = -3*h**2. Let s(m) = 5*m**2. Let o(z) = -7*p(z) - 4*s(z). What is o(n(r))?\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -34620 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogttvtjtcvt. Give prob of sequence gtjo.\nAnswer: 1\/1584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/8, -90, 1213\/42?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50351 rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5*c + 12*b**5 + 2*b**4*c + 2*b**2 - 665*c wrt b.\nAnswer: 120*b**2*c + 720*b**2 + 48*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12 = -2. Let w be 6*(s + (-4)\/(-3)). Sort 2, w, 0 in increasing order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3111420 and -898567.7?\nAnswer: 4009987.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6680 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + b = 5*n + 7, 0 = 2*n + 5*b + 33. What is the hundreds digit of (-393)\/(1 + n) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*t - 373*t + 206*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 109226?\nAnswer: 109228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126.662 + -181.66. Let l = -55 - o. What is l rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.26, -6\/95, 3\/4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c - 5*c + 3*c to p*c + l and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4392 - 1024 = 5*v + 2*o, 2*o = 3*v - 2072. Let k = 3 - -7. Calculate the greatest common divisor of v and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2657 + -2645.692. Round f to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 5, -15, -85, -3, 23 in descending order.\nAnswer: 33, 23, 5, -3, -15, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5 + 31*f + 5*f**2 - 10*f**2 - f**3 - 23*f. Let p = -11 - -21. Suppose p + 8 = -3*u. Calculate k(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 6*k**2 - 4. Let b(y) = y**2 - 1. What is 4*b(c) - w(c)?\nAnswer: -2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/(-17*(-6)\/1530). Calculate the highest common factor of r and 278.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1, -0.35, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*z**4 - 26080*z**3 - 3188280*z**2 - 173229880*z - 3529558805 = 0. What is z?\nAnswer: -163\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 173069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 2*d**2 - 5*d - 2*d.\nAnswer: -2*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198451 = 205*l - 194*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 2 - (-14)\/18. Let z = -99.4 + 100.4. What is the nearest to z in -11, o, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 15*p - 4*b + 28 = 0, 3*b = -p + 7. Suppose -5*u + 40 = 30. Suppose 3*o = -u*o + 25. Solve 2*d - o*i + 15 - 6 = 0, -p = 2*d - 3*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 63*z\/2.\nAnswer: z*(z + 126)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -830731 by -2.\nAnswer: 830731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 500, -530 in increasing order.\nAnswer: -530, 7, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 53709 divided by -5684\nAnswer: -53709\/5684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 18, -1, 2\/15, 3.1409?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + b - 4 + b - 4 + 4 + 2 - b - 2 + b - b - 2*b + (0 + 0 + 2)*(0 - b + 0) - 3*b + b + 3*b + 14*b + 22 - 22 + 5*b - b + 1 - 2*b.\nAnswer: 14*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 3*s**2 - 4*s - 2. Let b be i(-2). Let q be 0 - -1 - (-1 + b). What is q rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82957 is divided by 305.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l - 7. Let n = -29 - -24. Let d be c(n). Let a(u) = -u**2 + 11*u + 4. What is the units digit of a(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 121\/(-132)*-69 + (-1)\/4.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -4 (c) -42 (d) -67 (e) -1 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3486\/805 + 3678\/(-3065)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*18 - 5\/(-2)*(-7)\/(490\/(-112))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59859*m + 0 - 60735*m + 120586*m + 0.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 120?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7505711 to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969549 is divided by 969434.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 - 0.21. Let c = -0.39 - t. What is the third biggest value in c, 2, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -y + 2*o, 46*y = 43*y + 3*o + 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15285 divided by -15285\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.018063 * -227.\nAnswer: 4.100301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, 9, 7224\/5.\nAnswer: -0.5, 5, 9, 7224\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526945?\nAnswer: 5, 7, 43627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -13\/2. Let z = 0.05 - -0.05. Let t = -0.06 - -0.06. What is the third smallest value in z, t, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -69.8. What is the nearest to 6 in 2, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:38 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890201556?\nAnswer: 2, 3, 8242607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.6 + -2.6. Let v = -1.3 + 1.13. Let n = -6.17 - v. Put b, n, 0.5 in descending order.\nAnswer: 0.5, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(13) - (-3*sqrt(637) - sqrt(13)))**2 + (sqrt(13) + -1)*-2).\nAnswer: -12*sqrt(13) + 41274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2661)\/5340 - (-3)\/6. Let d = 35161\/3560 - v. What is the common denominator of d and 93\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - g**4 + g**4 + (-g**3 + g**3 + g**3)*(0*g - 2*g + g) + (-6*g - 5*g + g)*(-4*g**2 + 5 - 5)*(g - 9*g + g).\nAnswer: -279*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688924 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3538315*o. Let r(s) = -12*s**2. Determine r(v(b)).\nAnswer: -150236076470700*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 60920\nAnswer: -30460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93931945*o**2*v + 23621247*o**2 + 3*o with respect to v.\nAnswer: 93931945*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b**2 - 111*b**2 + 71*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/120 - 23*q**5\/6 + q**4\/12 - 312*q**3 - 60*q**2 - 3*q + 4. What is the second derivative of x(u) wrt u?\nAnswer: 6*u - 460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74.979 + -0.021. Let t = h - -67. Which is greater: 6 or t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1647814965*q**2 + 1647814965*q**2 + 1 - 10*q**3 - 46*q**3.\nAnswer: -56*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 375817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 990 + -313. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let j(f) be the first derivative of -9\/2*f**2 + 0*f + 34. What is j(n(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798917449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29715, 29706, 29695, 29682, 29667, 29650?\nAnswer: 29631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37363809 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -b93ccc (base 13) in base 14?\nAnswer: -813427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17422741 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*2)**2 - sqrt(5)) + -3 + (0 + sqrt(80))**2 + (sqrt(5) + sqrt(40)\/(sqrt(24)\/sqrt(3)) - (sqrt(50)*-2)\/sqrt(10)).\nAnswer: 3*sqrt(5) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 3\/1)*5. Let f be 1 + 5 + (-2)\/1. Put f, r, -4 in descending order.\nAnswer: r, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -63. Calculate the remainder when w is divided by 3 + (-1)\/(-2 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2204 and -33\/308560.\nAnswer: 308560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 + 371 = -52*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798 > -108.81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*v - 3*v**2 - 10 - 2 + 3*v - 4*v.\nAnswer: -3*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 14*t**2 - 2*t - 14. Let o be b(-7). Solve o = -0*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1626910 divided by 1626910\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Let p be 18\/8 + h\/(-8). Suppose -16 = -5*t + t. Solve 0 = -t*i - 6 + p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/3 - 19*q**4\/3 - 58*q**3\/3 + 298*q**2\/3 - 341*q\/3 + 121\/3 = 0. Calculate q.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 139167 (base 12) to base 14\nAnswer: 8715d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3372480 divided by -105390?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2426666 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -464400 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688553?\nAnswer: 109, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - -17. Let l = v - 3. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in -3, 0.3, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.02, -28.53?\nAnswer: -28.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 1. Let v(b) = 6*b**3 + 4*b + 5. Let c(m) = 5*j(m) - v(m). Let u(n) be the second derivative of c(n). Determine u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 4. Let k(b) = b. Let p(q) = k(q) - u(q). Let r(a) = -a**2 + 15*a - 11. Let o be r(14). Does 8 divide p(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*k + 12 = 0, 4*r + 2 - 6 = -3*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255725 divided by -5.\nAnswer: -51145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26910\/315 + -85 - (484\/(-14) - 4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133102991 rounded to the nearest 1000000?\nAnswer: -133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8742 - -3407. Round x to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02530586759 rounded to six dps?\nAnswer: -0.025306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 2091.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*-2)\/(63\/(1764\/32))*-8?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 440 + -222. Suppose 3*k + 215 - l = 0. Suppose 0 = -0*n - n - 4. Put 4, n, -2, k in descending order.\nAnswer: 4, k, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1199\nAnswer: 2\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (1 - 267\/(-3)). Suppose b + 2*d - p = 3*d, 3*d = -b + 110. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 + 2. Sort 2, 0.3, n in descending order.\nAnswer: 2, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -16. Let v be a\/4 + (-3)\/12. Solve v*r - 8 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052805 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2026206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from odpxod?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -284 (base 10) to base 5.\nAnswer: -2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538 divided by 5.\nAnswer: 538\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -16)*4\/10. Let p be 3\/j*(-2 + 0). Let h = 8 + -3. Which is the biggest value? (a) p (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154542*i**2*j*w**4 - i**2*j*w**3 + 3*i**2*w**2 - 914*i*j*w**2 + 3*j*w + 8*w**2 wrt w.\nAnswer: -3709008*i**2*j*w - 6*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 905 divided by 244\nAnswer: 905\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - 3.14. Let o = m + 3.4. Let h = 2\/29 + 21\/116. Which is the third smallest value? (a) o (b) -1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -52?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/((-12)\/(-8064)*7).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -819*g**4\/4 + 702*g + 701. What is the derivative of x(h) wrt h?\nAnswer: -2457*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-1)**2 + sqrt(5) - ((sqrt(10)\/sqrt(2))**2*4 - sqrt(5)).\nAnswer: 2*sqrt(5) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.78642 litres to millilitres.\nAnswer: 86786.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -16*p**2 + 106*p + 5. Give m(2).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -43*a + 7. Let q(d) = -14*d + 2. What is -7*q(f) + 2*x(f)?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 2, 1012, -1\/3 in increasing order.\nAnswer: -40, -1\/3, 2, 1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c*i**3 - 159*c*i + 2*c*u + 12*i**3*u + i*u**2 wrt u?\nAnswer: 2*c + 12*i**3 + 2*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441502344 (base 6) to base 11.\nAnswer: 4522720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/41, -3\/4, -2\/5, 230?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 21*l + 48*l as f + y*l and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**2*i*i*i)\/i**1)\/((i*i\/(i*i*i\/(i**(-3\/7)*i*i)*i)*i)\/i**5))\/(((i\/(i*i*i**0*i*i*i)*i*i)\/i)**(15\/8)*(i**(-1)*i)**(-13\/2)) assuming i is positive.\nAnswer: i**(843\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + 0 + (2 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -17730*d. Let j(l) = l**2. Calculate j(o(v)).\nAnswer: 314352900*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**3*d*d\/(d**3\/d)*d)**22)**39 assuming d is positive.\nAnswer: d**(-858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 k when four letters picked without replacement from ggkggkgggggggggkgggk?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21762 and 1147.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 2, f: 7}. What is prob of sequence fw?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3775*h = 9*w + 3772*h + 33, -4*h + 4 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/((-28)\/7) - -4. Suppose z*f - 5052 = 5*d - 17419, -f - 7420 = -3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-412)\/10)\/((-22)\/55). Let t(l) = 91*l - 195*l - 1 - c*l - 4. Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Suppose 2*p + 4*r + c = 0, -5*r + 5 = -2*p + 21. What is the greatest common factor of p and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 1152892.\nAnswer: 9223136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r**2 - 15. Let d(b) = -4*b**2 - 5. What is 17*d(i) - 6*p(i)?\nAnswer: -2*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 + 41*q**3 - 21*q**3 - 5*q**3 - 17*q**3 - q**3 + (-2 + 3 + 1)*(-3*q - 2*q**3 + 3*q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**8\/21 - p**6\/6 + p**4\/6 - 3*p**2. Determine z so that k(z) = 0.\nAnswer: -1, -1\/2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((7 - 6) + -13)*-23. Let j = 283 + v. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 14\/((3\/(-2))\/(3\/(-4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 6*j - 14. Let z = j - -14. Let d(u) = -u**3 + 7*u**2 - u + 8. Let a be d(z). Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1223\/3226 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-110) - (-147)\/70. Factor -x*r**3 + 5\/2*r**2 - 1\/2*r + 0.\nAnswer: -r*(r - 1)*(4*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 5580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1714 - -1116. Let d = 628 + y. Solve 0*o - d = 15*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7 - 10 - 3*m + 5 - 1. Let u(g) = -g - 6. Suppose 9 = 2*p - 3*p. Give p*u(v) + 4*t(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28896159*b**3*s - 2*s - 342413802 with respect to b.\nAnswer: -86688477*b**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -72715480 - 1295*a**2 + 72715480 as g*a**2 + c + h*a and give g.\nAnswer: -1295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/(-1105) + 812\/(-1040). What is the closest to 2\/3 in 3\/7, r, 32, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -591, -4, 1 in descending order.\nAnswer: 1, -4, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182 + 181.6. Let y be ((-4)\/(-14))\/(6\/14). Put 0, 4, y, r in decreasing order.\nAnswer: 4, y, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 4*n**2 + 11*n. Let b be m(5). Suppose -4*h = h - b. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/(7452\/2070).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1.243, 0.3, 0.2, -3\/4.\nAnswer: -1.243, -3\/4, -0.5, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 20*o**2 + 16*o - 120. Is 73 a factor of w(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2303931*x**3 - 106*x - 4376 wrt x.\nAnswer: -13823586*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a hour in minutes?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 192474276541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4137.1 - -4137. What is the nearest to n in 84, 4\/7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15595134437.4 and 0.609.\nAnswer: 15595134438.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13191952498 take away 0.1?\nAnswer: -13191952498.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 - -3606. Suppose 1862 + v = 21*i. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*a + 285 = 324*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2502 and 10842?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4 - 532*y**3 + 6*y**2 + 1600*y + 1064 = 0.\nAnswer: -266, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 20*y - 47 - 20 - 36*y + 23*y. Let f be r(10). Solve -5*x - 5*s = 0, -x + 19 + 1 = -f*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 273 - 57. What is the least common multiple of f and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*k**2)*(1346 + 62*k - 1346) + (2 - 2 + 2*k)*(1 - k**2 - 1).\nAnswer: 122*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 1219 + 124. Let k = -235 - j. Suppose 0 = -3*g + k + 221. What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**6\/360 + 7*g**5\/120 + 5*g**4\/24 - 2*g**3\/3 + 2. Let a(p) be the third derivative of t(p). Give a(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 5*u - 2*u. Let t be 16\/3 - (6 + (-102)\/18). Let m(n) = -n. Give t*m(z) + 2*d(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25616*d - 11199*d - 27801*d.\nAnswer: -64616*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {e: 2, c: 3, x: 3, h: 12}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10010101101001111100?\nAnswer: 10010101101001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d*d**15)\/d))\/d)\/d**(3\/4))\/(d\/(d\/(d*(d**(11\/3)*d)\/d))*d)**(13\/4) assuming d is positive.\nAnswer: d**(-211\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 5*a**2 - a + 14. Let c be b(-4). Let t(k) = -2*k**2 + k - 2. Let l(v) = v**2 - v + 1. Give c*t(x) + 3*l(x).\nAnswer: -x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (49 + -22 - 13) - -17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/6 - z**2\/2 - 5*z. What is c(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40794209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7472849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 36 = -4. Suppose -o = -j - 3*x + 32, 2*x + 67 = j. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 129\/12 + (-2)\/(-8). Let i(u) = 3*u**2 + 17*u + 3. Let k be i(-6). Which is greater: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -11, 0, 11?\n\"Answer: 11*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/70 and -23\/11950.\nAnswer: 83650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 157 + 3*b + 5 - 2*b to m + n*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 4*a = -2*h - 10, 3*h - 11 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/(4*sqrt(3)) - (1*sqrt(2754) + sqrt(34)))\/((sqrt(18) - (sqrt(162) - sqrt(18))*-1)\/(sqrt(9) - -2*sqrt(36))))**2.\nAnswer: 71825\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962861409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-6*j**2 + 2*j**2 + 0*j**2 - 3*j + j**2 + 3*j + (3 - 4 - 1)*(0*j + 0*j + j**2) + j**2 + 0*j + 0*j - 3*j**2 + 2*j**2 + 3*j**2).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -326*n**2. Let f(w) = -4*w**2 - 10*w. Calculate f(b(v)).\nAnswer: -425104*v**4 + 3260*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 472 + -482.65. Round m to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22 - -19)*(-396 - 0). What is the greatest common divisor of h and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 2. Let n be z(3). Suppose -17*c + 12*c = 20. Let i be (10\/c)\/(6\/(-12)). Solve 16 = 5*d + 5*t + 6, n = 3*d - i*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -16 + 104. Let n = -3 - -8. Let y(d) = 2*d + 5. What is the remainder when p is divided by y(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 + -1 + 8 - 1 and 3 + (0 - -1)*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, -7, -120 in increasing order.\nAnswer: -120, -7, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**3 - 17*a**2 + 112*a + 15. Let r(q) = -q**3 - 6*q**2 + 37*q + 6. Determine -6*i(h) + 17*r(h).\nAnswer: h**3 - 43*h + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*d**5 + 1206*d**5 + 956*d**5 - 2539*d wrt d.\nAnswer: 39020*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -279 + 490. Suppose -7*i + p + 874 = 0. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.307 - -851.643. Round w to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*j - 569 - 3930 = 913 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -1 + (sqrt(39)\/sqrt(3))**2 + sqrt(13) + -4.\nAnswer: 2*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1065, 1982, 2899?\n\"Answer: 917*p + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10*t)\/(t**5*t)*(t**1)**40 assuming t is positive.\nAnswer: t**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = 6*p. Let w(q) = -2*q**2 + 4*q**2 + 3 + 7*q**p - 4 - 5. Let z = -1 + 6. Let j(k) = 6*k**3 + 2*k**2 - 5. Determine z*w(d) - 6*j(d).\nAnswer: -d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 4, i: 2, u: 1, o: 2}. What is prob of sequence oi?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 318?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 29*x**2 - 2 - 6*x**2 - 3*x - 6 + 6. Let o be -2*3\/6*1. Is r(o) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let w = 590.9 - -52.1. Let n = w - 655. Sort n, z, 0 in decreasing order.\nAnswer: z, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((-42)\/(-63))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdxxx. What is prob of picking 1 h and 1 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*f + 5*u, 2*f - 31*u + 24 = -36*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(45) + -1*(sqrt(45) - (sqrt(45) + 1)))**2.\nAnswer: 30*sqrt(5) + 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 55566.\nAnswer: 55566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -9 - 0. Let m be 2\/(-6) - (-13)\/c. Suppose -l = l - m. Solve -i = i + l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 14. Solve 2*i - u = 5*m, 3*i - 6*i - 3*m = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-3))\/((-158)\/237).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Let a be ((2 + 3)*(-10)\/(-25))\/m. Is (2\/4 + -1)*a*-1786 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**4\/4 + 7*t**3\/3 + 4*t**2 + 8*t - 8. Let s be d(-6). What is the third biggest value in -5, -2, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55607829, 55607833, 55607839, 55607847, 55607857, 55607869, 55607883?\n\"Answer: f**2 + f + 55607827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227261, -227174, -227037, -226856, -226637, -226386?\nAnswer: -226109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -283*k**2 - 277*k + 80335.\nAnswer: -566*k - 277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*t = 1174 - 1200, 3*t - 49 = 4*o. What is the third biggest value in -0.24, -4\/3, o, -4, -1\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.3178894 rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, f: 2, w: 2, m: 2, h: 4, u: 2}. What is prob of sequence wffu?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwwlwwwl. What is prob of picking 1 w and 3 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53799703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/(180\/(-11700))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/23 + (544\/(-75072))\/(3\/(-404)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 6, -14, -52, -114, -206, -334, -504?\n\"Answer: -h**3 - h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 5 - 3)*(2 - 2 + 2*h**2)*(h**3 + h**3 - 3*h**3).\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 5*n)*(-n + n - n**2).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2\/5, 1175299, -25?\nAnswer: 1175299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 15660236?\nAnswer: 46980708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.59 (b) -0.57964 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180301.\nAnswer: 11, 37, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**0*u)**(-7)\/(u*u*u\/u**(-2)*u)**19)**(-28))**(1\/2) assuming u is positive.\nAnswer: u**1792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 94 - ((3 - 3) + -4). Suppose 3*f + f = 56. Calculate the greatest common divisor of a and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -12. Solve 3*x - o*c - 18 = 0, -c - c = 2*x - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -5 + 25 - (-7 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -244 - -260. Suppose 3 = 4*z - 5. Let r be -3 + (z + 20)*2\/s. Which is the third smallest value? (a) -0.2 (b) 2\/3 (c) -3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001101010 (base 2) to base 3.\nAnswer: 10122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 1. Let v(c) = -2*c + 1. Let y(w) = -6*v(w) - 5*x(w). Calculate the smallest common multiple of y(-1) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -136, -284, -436, -592, -752?\n\"Answer: -2*z**2 - 142*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*b**3*y + 2615868*b**3 - 5*b**2*y + 2*b**2 - 79442*b*y - 2*b - 3*y wrt b?\nAnswer: 288*y + 15695208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (21 + 6 - 20) + -47.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 - 100. Suppose 0 = -57*p + a*p + 42. Suppose 124 = p*d - 206. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43510, -43493, -43476?\n\"Answer: 17*u - 43527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**4 + 4*j**4 + 4*j**4 + 3*j**4 - j**4 - 3*j**4 + (2*j + 1 - 1)*(-j**3 + 3*j**2 - 3*j**2) + 5*j**4 + 16*j**3 - 16*j**3.\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1528\/5 + -306. Sort -0.12, -3, b in decreasing order.\nAnswer: -0.12, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 11:33 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -45, 2, -4 in descending order.\nAnswer: 2, 0, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1583 - -bbc7?\nAnswer: d25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*k**4 - 3*k**3 + 420*k wrt k.\nAnswer: 240*k**2 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 303341048, 606682098, 910023148, 1213364198, 1516705248, 1820046298?\n\"Answer: 303341050*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/6)\/(-7)*(-8)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**3 + 3*r**2 - 3*r + 3. Let g(a) = -44*a**3 + 32*a**2 - 32*a + 32. Suppose 127 - 13 = 2*u. Suppose 7 = -2*w - u. Calculate w*n(k) + 3*g(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-nine halves of a micrometer?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*y**4 + 53*y - 32*y - 23*y + 0*y**3 + 0*y**3 - 3*y**3 as a*y**3 + j*y**4 + d + l*y**2 + u*y and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/60 - c**4\/12 - 2*c**3\/3 - 90*c. Let o(j) be the second derivative of q(j). Give o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2317274?\nAnswer: 2, 29, 39953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.492 (b) -1\/4 (c) -33 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13784 + -7144. Does 83 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -3\/2*f**2 + 22*f + 1\/6*f**4 + 0*f**3 + 0. Calculate p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -31a13?\nAnswer: 31a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14\/(m*m\/(m\/((m\/(m*m**(-19)))\/m))))**(2\/77) assuming m is positive.\nAnswer: m**(-10\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*(f**(-1\/10)\/f)\/f)\/f*(f**(-2)*f)\/f)\/(f**(-13)\/f*f**0*f))**(1\/13) assuming f is positive.\nAnswer: f**(99\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*((b**(-2\/11)*b)\/b)\/b)\/b)**32*b**(-9)*b*b*b\/((b\/(b**(-1\/5)*b*b))\/b*b))**(-1\/5) assuming b is positive.\nAnswer: b**(606\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, -4\/5, -0.3, -93, 2\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 17 + k**2 + 19.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -151 divided by 808\nAnswer: -151\/808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 23. Which is bigger: -9\/5 or g?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 7*b - 4*c = 597, -b - 5*c = 596. What is b rounded to the nearest ten?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 6*l**2 + 7*l. Let g(b) = 6*b**2 - 6*b. Let p(s) = 7*g(s) + 6*r(s). What is the third derivative of p(n) wrt n?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394106 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4318.\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 5*v**8\/336 + v**6\/5 - v**4\/12 - 13*v**3\/2 - 2*v**2 - 16*v. What is the second derivative of z(d) wrt d?\nAnswer: 100*d**3 + 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 219. Let p = -83 + n. Suppose -4*q + 210 = -5*d, -3*d + 7*d + p = q. Is q less than 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*o**2 + 1835496 - 1835496.\nAnswer: 78*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1804874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 1795?\nAnswer: -1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:38 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -922 and 0.06.\nAnswer: -55.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(80\/6)*-8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.96 and 9.\nAnswer: 10.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 860 = -z. Suppose 2*i - 513 = 5*d, -i - 179 = -178. Let u = z + d. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*v - 5*v - 57, 20 = 5*p. What is the tens digit of 2*((-1476)\/8)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-27)\/(-168) - 1\/4 and 1\/12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.69971 rounded to 1 decimal place?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose 3*t + 94 = k, x = -5*t + k + 91 - 245. Let f be ((-8)\/6)\/(4\/t). Calculate the highest common divisor of f and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.92 - -8. Which is the second smallest value? (a) 2 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4\/11)\/x*x*x*x*x*x**(8\/7))\/(x**(6\/5))**(18\/7))**40 assuming x is positive.\nAnswer: x**(5216\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (426\/9585)\/((30\/27)\/10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -38 + (-519 - -561).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 3. What are the prime factors of (-2)\/6*h + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41 (b) 9 (c) -0.0594\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/24*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Let x = -8 - -11. Let f(a) = -x + a + 4*a - 3*a. Let n(s) = -2*f(s) + 5*k(s). Give n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*b = -4*b - 4, -3*i = 2*b - 3. Let w = 5 + i. What is the second derivative of -2*h**3 - 2*h**3 + w*h**3 - 6*h wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, 5, -17\/5, 0.5 in descending order.\nAnswer: 5, 0.5, -0.1, -1, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 24\/41 (c) 2\/13 (d) -1\/2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 5*t = 22, 12 = 3*t. Suppose -s = -5*h - 7. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 473.9814 micrograms?\nAnswer: 473981.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 408 - 41. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7819 is divided by 51.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137 + 137. Solve 6*w - 11*w + 10 = t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i = 23433 - 21343 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5349719.\nAnswer: 37, 191, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12 - (3 + 11446\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 5*f - 22862 + 22961, 2*f + 14 = -c - 25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*i + 2*l, -2*i - 4*l = -5*i + 68. Solve 4*d + i = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*(-63)\/(-147)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2993631.721 + -2.3?\nAnswer: -2993634.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a tonne in kilograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381770953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1185670, -1185622, -1185574?\n\"Answer: 48*p - 1185718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4580718 divided by 51.\nAnswer: 89818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -34. Let w be -16703 + (3 + t - -3). What is w rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-68 + 68 - 17*d**3).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1189, -4780, -10765, -19144, -29917?\nAnswer: -43084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 1)*(416*r**5 - 565*r**5 - 480*r**5).\nAnswer: -1887*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443031314 (base 5) to base 7.\nAnswer: -22232132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.53 - 8.57. What is j rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -32.1. Let a = -3.4 - z. Let c = -5.3 + 5. Put 2, a, c in descending order.\nAnswer: 2, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 19*o - 8. Let x be z(-18). Let d(h) = 18*h + 2. Let w be d(6). What is the highest common factor of w and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6452 is divided by 1126.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4. Let a = 2 + u. Let r = -2 + 2.1. Sort r, 0.4, a.\nAnswer: r, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 12*j + 148189.\nAnswer: -(j - 379)*(j + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/29))**(-38)\/((y*y**(1\/22)*y)\/(y*y**(-4\/11))) assuming y is positive.\nAnswer: y**(773\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 2, 0.11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n**3 + 6*n**2 + 6*n - 10. What are the prime factors of r(-4)?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2855 and -61\/30.\nAnswer: 17130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**2 - 2*g. Let w(u) = -u + 7*u**2 + 3*u + 0*u. Let x(l) = l**3 + 21*l**2 - 5. Let n be x(-21). Determine n*i(f) - 4*w(f).\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 992*l + 84*l + 1220*l - 181*l + 1883*l - 536*l.\nAnswer: 3462*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -366 (b) -7492 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 8)\/(3\/(-2193)). Let f = i - -794. Suppose 39 = u + 5*g + 8, 4*u - 76 = -4*g. Calculate the remainder when f is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - ((-224)\/24)\/(-7). Are -1\/233 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2399 + 91.8399. Round q to the nearest integer.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 47*g - 1244. What is the remainder when j(-36) is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(396) + -1*sqrt(11) + 1)**2.\nAnswer: -14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(192) + sqrt(192)*-1 - (-5 + -1 + sqrt(192)).\nAnswer: -8*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h - 2. Let g(o) = o + 1. Let j be g(3). Let m be v(j). What is the highest common factor of 110 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12517 greater than -4093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) 1\/3 (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*h - 30 = 0, -4*d + 75 = -7*h + 4*h. Suppose -4*w = -39 - 21. Let n = d - w. Solve 3*u = u - n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d - 3. Suppose -2*h + 0*h + 24 = 0. Let z be -3*8\/h - 1. Let v be i(z). Solve -4*s = 3*n + 6, 0 = -s + 2*s - 3*n + v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:14 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-8)*(-7)\/7*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -10*b + 127. Suppose 12*p - 32 = b. Let y(m) = -56*m. Let v(z) = -11*z. Give p*y(r) - 16*v(r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3628293?\nAnswer: 3, 17, 71143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*v + 10 = -20, -4*f + 60 = -4*v. Let t be 33\/15 + (-3)\/f. Suppose -3*g - 4 = -2*g, 4*y = t*g + 32. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r - 12066387*r**2 + 45*r + 12066386*r**2 + 51*r.\nAnswer: -r**2 + 71*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, h: 1, d: 1, s: 2, t: 4}. Give prob of picking 3 o.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202431 - -5?\nAnswer: 202440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 4. Let y(q) = -6*q**3 - 5*q**2 - q + 8. What is -7*h(j) - 3*y(j)?\nAnswer: 18*j**3 + j**2 + 3*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31708 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15453?\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1012\/(-6))\/(10\/(-36) + 1\/4). Calculate the highest common divisor of j and 792.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 82998?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1364564.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-162)\/(-810))\/(1*(-16)\/20). Put 1\/6, d, -111 in increasing order.\nAnswer: -111, d, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}